Variable power optical system and imaging apparatus

Abstract

The variable magnification optical system includes, in order from an object side, a first lens group having a positive refractive power, a second lens group having a negative refractive power, an intermediate group including two or more and five or less lens groups, and a final lens group having refractive power. When changing magnification, the interval between the first lens group and the second lens group changes, the interval between the second lens group and the intermediate group changes, the interval between the intermediate group and the final lens group changes, and all the intervals between adjacent lens groups in the intermediate group change. The variable magnification optical system satisfies a preset conditional expression.

Description

Technical Field

[0001] The technology of the present invention relates to a variable magnification optical system and an imaging device. Background Art

[0002] Conventionally, as variable magnification optical systems that can be used in imaging devices such as digital cameras, zoom lenses described in Japanese Patent No. 6859230, Japanese Patent Application Laid-Open Nos. 2020-197597, and 2020-170102 are known. Summary of the Invention

[0003] The demand for a zoom optical system that is compact and maintains good optical performance across the entire zoom range is increasing year by year.

[0004] The present invention provides a zoom optical system which has a compact structure and maintains good optical performance in the entire zoom range, and a camera device having the zoom optical system.

[0005] Means for solving technical problems

[0006] A zoom optical system according to one embodiment of the present invention includes, in order from the object side to the image side, a first lens group having positive refractive power, a second lens group having negative refractive power, an intermediate group, and a final lens group having refractive power, wherein the intermediate group includes more than two and less than five lens groups, and when zooming, the interval between the first lens group and the second lens group changes, the interval between the second lens group and the intermediate group changes, the interval between the intermediate group and the final lens group changes, and all intervals between adjacent lens groups in the intermediate group change. When the back focal length of the entire system at the air conversion distance at the wide-angle end is set to Bfw, the focal length of the entire system when focused on an infinitely distant object at the telephoto end is set to ft, and the maximum half angle of view when focused on an infinitely distant object at the telephoto end is set to ωt, the zoom optical system satisfies the conditional expression (1) represented by 0.4<Bfw / (ft×tanωt)<1.7(1).

[0007] When the sum of the distance on the optical axis from the lens surface closest to the object side of the first lens group to the lens surface closest to the image side of the final lens group in the state of focusing on an infinite object at the wide-angle end and the back focal length of the entire system at the air conversion distance is set to TLw, the above-mentioned variable magnification optical system preferably satisfies the conditional formula (2) expressed by 4<TLw / (ft×tanωt)<7(2).

[0008] When the sum of the distance on the optical axis from the lens surface closest to the object side of the first lens group to the lens surface closest to the image side of the final lens group in the state of focusing on an infinite object at the wide-angle end and the back focal length of the entire system at the air conversion distance is set to TLw, the above-mentioned zoom optical system preferably satisfies the conditional formula (3) expressed by 0.75<TLw / ft<1.35(3).

[0009] When the open F value when focusing on an object at infinity at the telephoto end is set to FNot, and the focal length of the entire system when focusing on an object at infinity at the wide-angle end is set to fw, the above-mentioned variable magnification optical system preferably satisfies the conditional formula (4) represented by 1.1<FNot / (ft / fw)<3(4).

[0010] When the focal length of the entire system in a state focused on an infinitely distant object at the wide-angle end is defined as fw, the variable power optical system of the above embodiment preferably satisfies the conditional expression (5) represented by 0.9<fw / (ft×tanωt)<1.32(5).

[0011] When the focal length of the entire system in a state in which the object at infinity at the wide-angle end is focused is fw, and the sum of the distance on the optical axis from the lens surface of the first lens group closest to the object to the lens surface of the final lens group closest to the image when the object at infinity at the wide-angle end is focused is TLw, and the back focus of the entire system in air conversion distance is TLw, the variable magnification optical system of the above type preferably satisfies the following relationship: 0.11 < (fw × TLw) / ft 2 <0.6(6) represents the conditional expression (6).

[0012] In a configuration in which the first lens group includes at least two lenses, when the sum of the distance on the optical axis from the lens surface closest to the object side of the first lens group to the lens surface closest to the image side of the final lens group in a state focused on an object at infinity at the wide-angle end and the back focus of the entire system in air conversion distance is denoted as TLw, the open F value in a state focused on an object at infinity at the telephoto end is denoted as FNot, and the focal length of the entire system in a state focused on an object at infinity at the wide-angle end is denoted as fw, the variable magnification optical system of the above embodiment preferably satisfies the following:

[0013] 4.7<TLw / (ft×tanωt)<6.7(2-3)

[0014] 0.75<TLw / ft<1.35(3)

[0015] 1.28<FNot / (ft / fw)<1.9(4-2)

[0016] 0.9<fw / (ft×tanωt)<1.32(5)

[0017] The conditional expressions (2-3), (3), (4-2) and (5) are represented.

[0018] When the focal length of the first lens group is f1 and the focal length of the second lens group is f2, the variable power optical system of the above embodiment preferably satisfies the conditional expression (7) represented by 2<f1 / (-f2)<15(7).

[0019] When the focal length of the entire system in the state of focusing on an infinitely distant object at the wide-angle end is set to fw and the focal length of the final lens group is set to fE, the above-mentioned variable magnification optical system preferably satisfies the conditional expression (8) represented by -1<fw / fE<1(8).

[0020] When the focal length of the first lens group is f1 and the focal length of the entire system in a state of focusing on an object at infinity at the wide-angle end is fw, the variable power optical system of the above embodiment preferably satisfies the following relationship: 0.5<f1 / (fw×ft) 1 / 2 <5(9) represents the conditional expression (9).

[0021] When the focal length of the second lens group is f2 and the focal length of the entire system in a state of focusing on an object at infinity at the wide-angle end is fw, the variable magnification optical system of the above embodiment preferably satisfies the following relationship: 0.1<(-f2) / (fw×ft) 1 / 2 <1(10) represents the conditional expression (10).

[0022] When the focal length of the first lens group is set to f1 and the open F value in the state of focusing on an object at infinity at the telephoto end is set to FNot, the above-mentioned variable magnification optical system preferably satisfies the conditional formula (11) expressed by 4<f1 / (ft / FNot)<15(11).

[0023] When the sum of the distance on the optical axis from the lens surface closest to the object side of the first lens group to the lens surface closest to the image side of the final lens group in the state of focusing on an infinite object at the wide-angle end and the back focal length of the entire system in the air conversion distance is set to TLw, and the focal length of the entire system in the state of focusing on an infinite object at the wide-angle end is set to fw, the above-mentioned variable magnification optical system preferably satisfies the conditional formula (12) expressed by 3.5<TLw / fw<6.5(12).

[0024] When the sum of the distance on the optical axis from the lens surface closest to the object side of the first lens group to the lens surface closest to the image side of the final lens group in the state of focusing on an infinitely distant object at the telephoto end and the back focal length of the entire system at the air conversion distance is set to TLt, the above-mentioned variable magnification optical system preferably satisfies the conditional formula (13) expressed by 1<TLt / ft<2.5(13).

[0025] When the sum of the distance on the optical axis from the lens surface closest to the object side of the first lens group to the lens surface closest to the image side of the final lens group in the state of focusing on an infinitely distant object at the telephoto end and the back focal length of the entire system at the air conversion distance is set to TLt, the above-mentioned variable magnification optical system preferably satisfies the conditional formula (14) expressed by 7<TLt / (ft×tanωt)<11.5(14).

[0026] When the maximum half angle of view when focusing on an object at infinity at the wide-angle end is set to ωw, and the open F value when focusing on an object at infinity at the wide-angle end is set to FNow, the above-mentioned variable magnification optical system preferably satisfies the conditional formula (15) expressed by 0.17<tanωw / FNow<0.35(15).

[0027] In a structure in which an aperture stop is arranged at a position closer to the image side than the lens surface closest to the image side of the second lens group, when the distance on the optical axis from the lens surface closest to the object side of the first lens group to the aperture stop in a state of focusing on an infinite object at the wide-angle end is set to DDG1STw, and the focal length of the first lens group is set to f1, the above-mentioned zoom optical system preferably satisfies the conditional formula (16) expressed by 0.15<DDG1STw / f1<1(16).

[0028] When the distance on the optical axis from the lens surface closest to the object side of the first lens group to the paraxial entrance pupil position when focusing on an object at infinity at the wide-angle end is set to Denw, the focal length of the entire system when focusing on an object at infinity at the wide-angle end is set to fw, and the maximum half angle of view when focusing on an object at infinity at the wide-angle end is set to ωw, the above-mentioned variable magnification optical system preferably satisfies the conditional formula (17) expressed by 1<Denw / {(fw×tanωw)×log(ft / fw))<3.5(17).

[0029] When the distance on the optical axis from the lens surface closest to the object of the first lens group to the paraxial entrance pupil position in a state in which the object is focused on an object at infinity at the wide-angle end is defined as Denw, and the focal length of the entire system in a state in which the object is focused on an object at infinity at the wide-angle end is defined as fw, the variable magnification optical system of the above embodiment preferably satisfies the following relationship: 0.3 < Denw / (fw×ft) 1 / 2 <1(18) represents the conditional expression (18).

[0030] In a structure in which a zoom optical system includes an aperture stop, when the distance on the optical axis from the lens surface closest to the object side of the first lens group to the aperture stop in a state in which the object is focused on an infinite object at the wide-angle end is set to DDG1STw, and the sum of the distance on the optical axis from the lens surface closest to the object side of the first lens group to the lens surface closest to the image side of the final lens group in a state in which the object is focused on an infinite object at the wide-angle end and the back focal length of the entire system in air conversion distance is set to TLw, the above-mentioned zoom optical system preferably satisfies the conditional formula (19) expressed as 0.25<DDG1STw / TLw<0.6(19).

[0031] When the focal length of the entire system when focusing on an infinitely distant object at the wide-angle end is set to fw, and the sum of the distance on the optical axis from the paraxial exit pupil position to the lens surface closest to the image side of the final lens group when focusing on an infinitely distant object at the wide-angle end and the back focal length of the entire system at the air conversion distance is set to Dexw, the above-mentioned variable magnification optical system preferably satisfies the conditional formula (20) expressed by 0.3<fw / Dexw<0.65(20).

[0032] When the movement amount of the first lens group when changing the magnification from the wide-angle end to the telephoto end is set to M1, the sign of M1 is set to positive when moving from the object side to the image side, and to negative when moving from the image side to the object side, and the sum of the distance on the optical axis from the lens surface closest to the object side of the first lens group to the lens surface closest to the image side of the final lens group when focusing on an infinite object at the telephoto end and the back focal length of the entire system at the air conversion distance is set to TLt, the above-mentioned zoom optical system preferably satisfies the conditional formula (21) expressed by 0.2<(-M1) / TLt<0.5(21).

[0033] When the movement amount of the second lens group when changing the magnification from the wide-angle end to the telephoto end is set to M2, the sign of M2 is set to positive when moving from the object side to the image side, and to negative when moving from the image side to the object side, and the sum of the distance on the optical axis from the lens surface closest to the object side of the first lens group to the lens surface closest to the image side of the final lens group when focusing on an infinite object at the telephoto end and the back focal length of the entire system at the air conversion distance is set to TLt, the above-mentioned zoom optical system preferably satisfies the conditional formula (22) expressed by 0.04<(-M2) / TLt<0.4(22).

[0034] When the focal length of the entire system when focusing on an object at infinity at the wide-angle end is set to fw, and the focal length of the middle group when focusing on an object at infinity at the wide-angle end is set to fMw, the above-mentioned variable magnification optical system preferably satisfies the conditional formula (23) expressed by 0.3<fw / fMw<2(23).

[0035] When the focal length of the intermediate group in the state of focusing on an infinitely distant object at the telephoto end is set to fMt, the above-mentioned variable magnification optical system preferably satisfies the conditional expression (24) represented by 1<ft / fMt<10(24).

[0036] The distance on the optical axis from the lens surface of the first lens group closest to the object side to the lens surface of the first lens group closest to the image side is D1sum.

[0037] When the open F value in the state of focusing on an infinitely distant object at the telephoto end is FNot, the above-described variable magnification optical system preferably satisfies the conditional expression (25) represented by 0.2<D1sum / (ft / FNot)<1.6(25).

[0038] When the lateral magnification of the second lens group in the state of focusing on an infinitely distant object at the telephoto end is set to β2t, and the lateral magnification of the second lens group in the state of focusing on an infinitely distant object at the wide-angle end is set to β2w, the above-mentioned variable magnification optical system preferably satisfies the conditional formula (26) expressed by 1<β2t / β2w<3(26).

[0039] When the average value of the d-ray-based Abbe numbers of all the positive lenses of the first lens group is ν1pave, the variable power optical system of the above embodiment preferably satisfies the conditional expression (27) represented by 40<ν1pave<95(27).

[0040] In a structure in which the image-side surface of the positive lens Lp positive lens having the strongest positive refractive power among the unjoined single lenses of the middle group is a convex surface, when the focal length of the Lp positive lens is set to fp and the focal length of the middle group in the state of focusing on an infinitely distant object at the wide-angle end is set to fMw, the above-mentioned variable magnification optical system preferably satisfies the conditional formula (28) represented by 0.4<fMw / fp<2(28).

[0041] The Lp positive lens is preferably a biconvex lens. The object-side surface and the image-side surface of the Lp positive lens may be aspherical surfaces.

[0042] When the effective diameter of the lens surface closest to the object side of the first lens group is set to EDf, and the effective diameter of the lens surface closest to the image side of the final lens group is set to EDr, the above-mentioned zoom optical system preferably satisfies the conditional formula (29) expressed by 1.2<EDf / EDr<3(29).

[0043] When the effective diameter of the lens surface closest to the object side of the first lens group is set as EDf, and the sum of the distance on the optical axis from the lens surface closest to the object side of the first lens group to the lens surface closest to the image side of the final lens group in the state of focusing on an infinite object at the wide-angle end and the back focal length of the entire system at the air conversion distance is set as TLw, the above-mentioned zoom optical system preferably satisfies the conditional formula (30) expressed by 0.25<EDf / TLw<0.6(30).

[0044] The first lens group preferably includes, in order from the object side toward the image side, a first lens which is a negative lens and a second lens which is a positive lens.

[0045] When the center thickness of the first lens is set to d1 and the effective diameter of the lens surface closest to the object side of the first lens group is set to EDf, the above-mentioned zoom optical system preferably satisfies the conditional formula (31) expressed by 0.01<d1 / EDf<0.4(31).

[0046] When the center thickness of the first lens is set to d1, the distance on the optical axis from the lens surface closest to the object side of the first lens group to the paraxial entrance pupil position when focusing on an infinite object at the wide-angle end is set to Denw, and the maximum half angle of view when focusing on an infinite object at the wide-angle end is set to ωw, the above-mentioned zoom optical system preferably satisfies the conditional formula (32) expressed by 0.01<d1 / (Denw×tanωw)<0.15(32).

[0047] When the center thickness of the second lens is set to d2, the paraxial curvature radius of the object side surface of the second lens is set to R2f, and the paraxial curvature radius of the image side surface of the second lens is set to R2r, the above-mentioned zoom optical system preferably satisfies the conditional formula (33) expressed by 0.01<d2×(1 / R2f-1 / R2r)<0.4(33).

[0048] When the center thickness of the first lens is set to d1 and the focal length of the first lens group is set to f1, the variable power optical system of the above embodiment preferably satisfies the conditional expression (34) represented by 0.005<d1 / f1<0.025(34).

[0049] When the center thickness of the first lens is set to d1 and the distance on the optical axis from the lens surface closest to the object side of the first lens group to the lens surface closest to the image side of the first lens group is set to Dlsum, the above-mentioned zoom optical system preferably satisfies the conditional formula (35) expressed by 0.05<d1 / Dlsum<0.3(35).

[0050] When the average value of the specific gravity of the first lens and the specific gravity of the second lens is G12ave, the variable power optical system of the above embodiment preferably satisfies the conditional expression (36) represented by 2<G12ave<5.5(36).

[0051] The first lens group may be configured to include, in order from the object side to the image side, a first lens, a second lens, and a positive lens.

[0052] In the structure in which the first lens and the second lens are bonded, when the Abbe number of the d-ray reference of the second lens is set to ν2, the above-mentioned variable power optical system preferably satisfies the conditional expression (37) represented by 40<ν2<95(37).

[0053] In a structure in which the first lens group includes a first lens, a second lens and a positive lens in sequence from the object side to the image side, when the Abbe number of the d-ray reference of the positive lens closest to the image side of the first lens group is set to ν3, the above-mentioned zoom optical system preferably satisfies the conditional formula (38) expressed by 40<ν3<95(38).

[0054] In the configuration in which a negative lens is arranged most on the object side of the second lens group, the second lens group preferably further includes at least one negative lens different from the negative lens most on the object side and at least one positive lens.

[0055] When the focal length of the negative lens closest to the object side of the second lens group is set to fL21 and the focal length of the second lens group is set to f2, the above-mentioned zoom optical system preferably satisfies the conditional formula (39) expressed by 0.5<fL21 / f2<3(39).

[0056] When the paraxial curvature radius of the object-side surface of the negative lens closest to the object side of the second lens group is set to RL21f, and the paraxial curvature radius of the image-side surface of the negative lens closest to the object side of the second lens group is set to RL21r, the above-mentioned zoom optical system preferably satisfies the conditional formula (40) expressed by 0.5<(RL21f+RL21r) / (RL21f-RL21r)<3.5(40).

[0057] When the focal length of the second lens from the object side of the second lens group is set to fL22 and the focal length of the second lens group is set to f2, the above-mentioned variable magnification optical system preferably satisfies the conditional expression (41) represented by 0.4<fL22 / f2<5(41).

[0058] When the focal length of the entire system in a state of focusing on an infinitely distant object at the wide-angle end is set to fw, the variable power optical system of the above-mentioned method preferably satisfies the conditional expression (42) represented by 2.5<ft / fw<7(42).

[0059] When the focal length of the second lens group is set to f2 and the focal length of the lens group closest to the object in the middle group is set to f3, the above-mentioned variable magnification optical system preferably satisfies the conditional expression (43) represented by -1.2<f2 / f3<1(43).

[0060] The variable magnification optical system of the above embodiment preferably includes at least three aspherical surfaces.

[0061] The above-mentioned variable power optical system preferably includes a plastic lens whose object-side surface and image-side surface are aspherical surfaces. When the specific gravity of the above-mentioned plastic lens is set to GP, the above-mentioned variable power optical system preferably satisfies the conditional formula (44) expressed by 0.8<GP<1.5(44).

[0062] The plastic lens is preferably disposed on the most image side of the intermediate lens group and on at least one side within the final lens group.

[0063] The middle group preferably includes at least one cemented lens composed of one positive lens and one negative lens.

[0064] In a structure in which the intermediate group includes an anti-vibration group that moves in a direction intersecting the optical axis during image shake correction, when the focal length of the anti-vibration group is set to fIS, the above-mentioned zoom optical system preferably satisfies the conditional formula (45) expressed by 0.1<fIS / ft<0.7(45).

[0065] The anti-vibration group preferably includes a biconvex lens. When the average value of the specific gravity of all biconvex lenses in the anti-vibration group is GISave, the variable power optical system of the above embodiment preferably satisfies the conditional expression (46) represented by 2<GISave<5(46).

[0066] It is preferred that the first lens group, the second lens group, and all lens groups within the intermediate group move during zooming.

[0067] The intermediate group preferably has positive refractive power as a whole over the entire zoom range.

[0068] One of the lens groups included in the middle group is preferably a focus lens group that moves along the optical axis during zooming and focusing.

[0069] The focusing lens group may be configured to include one positive lens and one negative lens. In this case, the focusing lens group may be configured to include a cemented lens formed by cementing the positive lens and the negative lens. Alternatively, the focusing lens group may be configured to include one negative lens.

[0070] The intermediate group may be configured to include only one focus lens group.

[0071] In the configuration in which the variable magnification optical system of the above aspect includes an anti-vibration group that moves in a direction intersecting the optical axis during image shake correction, the focus lens group is preferably arranged closer to the image side than the anti-vibration group.

[0072] The focus lens group may be configured to be the lens group closest to the image side of the middle group.

[0073] The final lens group may be configured to include, in order from the object side to the image side, one negative lens having a concave object-side surface and one positive lens.

[0074] In a structure in which the final lens group includes, from the object side to the image side, a negative lens whose object side surface is a concave surface and a positive lens, when the paraxial curvature radius of the object side surface of the negative lens of the final lens group is set to REnf and the paraxial curvature radius of the image side surface of the negative lens of the final lens group is set to REnr, the above-mentioned zoom optical system preferably satisfies the conditional formula (47) expressed by -15<(REnf+REnr) / (REnf-REnr)<-0.1(47).

[0075] In a structure in which the final lens group includes, from the object side to the image side, a negative lens whose object side surface is a concave surface and a positive lens, when the paraxial curvature radius of the object side surface of the positive lens of the final lens group is set to REpf and the paraxial curvature radius of the image side surface of the positive lens of the final lens group is set to REpr, the above-mentioned zoom optical system preferably satisfies the conditional formula (48) expressed by -1.3<(REpf+REpr) / (REpf-REpr)<-0.1(48).

[0076] The number of movement trajectories of the lens groups that move during zooming from the wide-angle end to the telephoto end may be five or six different movement trajectories.

[0077] The lens may include a plurality of lens groups that move along the same trajectory when zooming from the wide-angle end to the telephoto end. In this case, at least one lens that moves along the optical axis when focusing may be arranged between the plurality of lens groups that move along the same trajectory.

[0078] The middle group may be configured to include, in order from the object side to the image side, a lens group having positive refractive power and a lens group having negative refractive power.

[0079] The middle group may be configured to include, in order from the object side to the image side, a lens group having negative refractive power, a lens group having positive refractive power, and a lens group having negative refractive power.

[0080] The middle group may be configured to include, in order from the object side to the image side, a lens group having positive refractive power, a lens group having positive refractive power, and a lens group having negative refractive power.

[0081] The middle group may be constructed to include, from the object side to the image side, a lens group with positive refractive power, a lens group with positive refractive power, a lens group with negative refractive power, and a lens group with positive refractive power.

[0082] The middle group may be constructed to include, from the object side to the image side, a lens group with positive refractive power, a lens group with positive refractive power, a lens group with positive refractive power, and a lens group with negative refractive power.

[0083] The middle group may be constructed to include, in order from the object side to the image side, a lens group with positive refractive power, a lens group with negative refractive power, a lens group with positive refractive power, and a lens group with negative refractive power.

[0084] The middle group can be constructed to include, from the object side to the image side, a lens group with positive refractive power, a lens group with negative refractive power, a lens group with positive refractive power, a lens group with negative refractive power, and a lens group with negative refractive power.

[0085] In this configuration, the final lens group can be fixed relative to the image plane during zooming.

[0086] The intermediate lens group may include, from the object side to the image side, a lens group with positive refractive power, a lens group with positive refractive power, a lens group with positive refractive power, a lens group with negative refractive power, and a lens group with negative refractive power. In this configuration, the final lens group may be fixed relative to the image plane during zooming.

[0087] An imaging device according to another aspect of the present invention includes the variable magnification optical system according to the above aspect of the present invention.

[0088] In addition, the terms "including..." and "including..." in this specification mean that in addition to the listed components, it may also include lenses that essentially have no refractive power, optical components other than lenses such as apertures, filters and cover glasses, as well as mechanical parts such as lens flanges, lens barrels, camera elements and hand-shake correction mechanisms.

[0089] In this specification, "a group having positive refractive power" means that the group as a whole has positive refractive power. Similarly, "a group having negative refractive power" means that the group as a whole has negative refractive power. "Lens having positive refractive power" and "positive lens" have the same meaning. "Lens having negative refractive power" and "negative lens" have the same meaning. "First lens group", "second lens group", "lens group", "final lens group", "focusing lens group" and "anti-vibration group" in this specification are not limited to structures including multiple lenses, but may also be structures including only one lens.

[0090] A "single lens" refers to a single, unjoined lens. A composite aspheric lens (a lens in which a spherical lens and an aspheric film formed on the spherical lens are integrated and function as a single aspheric lens) is used as a single lens and is not considered a joined lens. Unless otherwise specified, the sign of the refractive power and surface shape associated with a lens including an aspheric surface refers to the sign of the refractive power and surface shape of the paraxial region. The sign of the paraxial radius of curvature is positive for surfaces convex toward the object side and negative for surfaces convex toward the image side.

[0091] In this specification, "entire system" refers to the variable magnification optical system. The "focal length" used in conditional expressions refers to the paraxial focal length. Unless otherwise specified, the "distance on the optical axis" used in conditional expressions is considered to be a geometric length. Unless otherwise specified, the values ​​used in conditional expressions are based on the d-ray when focusing on an object at infinity.

[0092] "D-rays," "C-rays," and "F-rays" described in this specification are bright lines. The wavelength of d-rays is assumed to be 587.56 nm (nanometers), the wavelength of C-rays is assumed to be 656.27 nm (nanometers), and the wavelength of F-rays is assumed to be 486.13 nm (nanometers).

[0093] Effects of the Invention

[0094] According to the present invention, it is possible to provide a variable power optical system that has a compact structure and maintains excellent optical performance throughout the entire variable power range, and an imaging device including the variable power optical system. BRIEF DESCRIPTION OF THE DRAWINGS

[0095] Figure 1 It is a cross-sectional view and a diagram showing the structure of a variable power optical system according to one embodiment, which corresponds to the variable power optical system of Example 1, and a diagram showing a movement trajectory.

[0096] Figure 2 Yes Figure 1 Diagram of the structure and light beam of the zoom optical system in each zoom state.

[0097] Figure 3 This is a diagram for explaining the effective diameter.

[0098] Figure 4 These are diagrams showing various aberrations of the variable power optical system of Example 1.

[0099] Figure 5 It is a cross-sectional view showing the structure of the variable power optical system of Example 2 and a diagram showing a movement trajectory.

[0100] Figure 6 These are diagrams showing various aberrations of the variable power optical system of Example 2.

[0101] Figure 7 It is a cross-sectional view showing the structure of the variable power optical system of Example 3 and a diagram showing the movement trajectory.

[0102] Figure 8 These are diagrams showing various aberrations of the variable power optical system of Example 3.

[0103] Figure 9 It is a cross-sectional view showing the structure of the variable power optical system of Example 4 and a diagram showing the movement trajectory.

[0104] Figure 10 These are diagrams showing various aberrations of the variable power optical system of Example 4.

[0105] Figure 11 It is a cross-sectional view showing the structure of the variable power optical system of Example 5 and a diagram showing the movement trajectory.

[0106] Figure 12 These are diagrams showing various aberrations of the variable power optical system of Example 5.

[0107] Figure 13 It is a cross-sectional view showing the structure of the variable power optical system of Example 6 and a diagram showing the movement trajectory.

[0108] Figure 14 These are diagrams showing various aberrations of the variable power optical system of Example 6.

[0109] Figure 15 It is a cross-sectional view showing the structure of the variable power optical system of Example 7 and a diagram showing the movement trajectory.

[0110] Figure 16 These are diagrams showing various aberrations of the variable power optical system of Example 7.

[0111] Figure 17 It is a cross-sectional view showing the structure of the variable power optical system of Example 8 and a diagram showing the movement trajectory.

[0112] Figure 18 These are diagrams showing various aberrations of the variable power optical system of Example 8.

[0113] Figure 19 It is a cross-sectional view showing the structure of the variable power optical system of Example 9 and a diagram showing the movement trajectory.

[0114] Figure 20 These are diagrams showing various aberrations of the variable power optical system of Example 9.

[0115] Figure 21 It is a cross-sectional view showing the structure of the variable power optical system of Example 10 and a diagram showing the movement trajectory.

[0116] Figure 22 These are diagrams showing various aberrations of the variable power optical system of Example 10.

[0117] Figure 23 It is a cross-sectional view showing the structure of the variable power optical system of Example 11 and a diagram showing the movement trajectory.

[0118] Figure 24 These are diagrams showing various aberrations of the variable power optical system of Example 11.

[0119] Figure 25 It is a cross-sectional view showing the structure of the variable power optical system of Example 12 and a diagram showing the movement trajectory.

[0120] Figure 26 These are diagrams showing various aberrations of the variable power optical system of Example 12.

[0121] Figure 27 It is a cross-sectional view showing the structure of the variable power optical system of Example 13 and a diagram showing the movement trajectory.

[0122] Figure 28 These are diagrams showing various aberrations of the variable power optical system of Example 13.

[0123] Figure 29 It is a cross-sectional view showing the structure of the variable power optical system of Example 14 and a diagram showing the movement trajectory.

[0124] Figure 30 These are diagrams showing various aberrations of the variable power optical system of Example 14.

[0125] Figure 31 It is a cross-sectional view showing the structure of the variable power optical system of Example 15 and a diagram showing the movement trajectory.

[0126] Figure 32 These are diagrams showing various aberrations of the variable power optical system of Example 15.

[0127] Figure 33 It is a cross-sectional view showing the structure of the variable power optical system of Example 16 and a diagram showing the movement trajectory.

[0128] Figure 34 These are diagrams showing various aberrations of the variable power optical system of Example 16.

[0129] Figure 35 It is a cross-sectional view showing the structure of the variable power optical system of Example 17 and a diagram showing the movement trajectory.

[0130] Figure 36 These are diagrams showing various aberrations of the variable power optical system of Example 17.

[0131] Figure 37 It is a cross-sectional view showing the structure of the variable power optical system of Example 18 and a diagram showing the movement trajectory.

[0132] Figure 38 These are diagrams showing various aberrations of the variable power optical system of Example 18.

[0133] Figure 39 It is a cross-sectional view showing the structure of the variable power optical system of Example 19 and a diagram showing the movement trajectory.

[0134] Figure 40 These are diagrams showing various aberrations of the variable power optical system of Example 19.

[0135] Figure 41 It is a cross-sectional view showing the structure of the variable power optical system of Example 20 and a diagram showing the movement trajectory.

[0136] Figure 42 These are diagrams showing various aberrations of the variable power optical system of Example 20.

[0137] Figure 43 It is a cross-sectional view showing the structure of the variable power optical system of Example 21 and a diagram showing the movement trajectory.

[0138] Figure 44 These are diagrams showing various aberrations of the variable power optical system of Example 21.

[0139] Figure 45 It is a cross-sectional view showing the structure of the variable power optical system of Example 22 and a diagram showing the movement trajectory.

[0140] Figure 46 These are diagrams showing various aberrations of the variable power optical system of Example 22.

[0141] Figure 47 It is a cross-sectional view showing the structure of the variable power optical system of Example 23 and a diagram showing the movement trajectory.

[0142] Figure 48 These are diagrams showing various aberrations of the variable power optical system of Example 23.

[0143] Figure 49 It is a cross-sectional view showing the structure of the variable power optical system of Example 24 and a diagram showing the movement trajectory.

[0144] Figure 50 These are diagrams showing various aberrations of the variable power optical system of Example 24.

[0145] Figure 51 It is a cross-sectional view showing the structure of the variable power optical system of Example 25 and a diagram showing the movement trajectory.

[0146] Figure 52 These are diagrams showing various aberrations of the variable power optical system of Example 25.

[0147] Figure 53 It is a cross-sectional view showing the structure of the variable power optical system of Example 26 and a diagram showing the movement trajectory.

[0148] Figure 54These are diagrams showing various aberrations of the variable power optical system of Example 26.

[0149] Figure 55 It is a cross-sectional view showing the structure of the variable power optical system of Example 27 and a diagram showing the movement trajectory.

[0150] Figure 56 These are diagrams showing various aberrations of the variable power optical system of Example 27.

[0151] Figure 57 It is a cross-sectional view showing the structure of the variable power optical system of Example 28 and a diagram showing the movement trajectory.

[0152] Figure 58 These are diagrams showing various aberrations of the variable power optical system of Example 28.

[0153] Figure 59 It is a cross-sectional view showing the structure of the variable power optical system of Example 29 and a diagram showing the movement trajectory.

[0154] Figure 60 These are diagrams showing various aberrations of the variable power optical system of Example 29.

[0155] Figure 61 It is a cross-sectional view showing the structure of the variable power optical system of Example 30 and a diagram showing the movement trajectory.

[0156] Figure 62 These are diagrams showing various aberrations of the variable power optical system of Example 30.

[0157] Figure 63 It is a cross-sectional view showing the structure of the variable power optical system of Example 31 and a diagram showing the movement trajectory.

[0158] Figure 64 These are diagrams showing various aberrations of the variable power optical system of Example 31.

[0159] Figure 65 It is a cross-sectional view showing the structure of the variable power optical system of Example 32 and a diagram showing the movement trajectory.

[0160] Figure 66 These are diagrams showing various aberrations of the variable power optical system of Example 32.

[0161] Figure 67 It is a cross-sectional view showing the structure of the variable power optical system of Example 33 and a diagram showing the movement trajectory.

[0162] Figure 68 These are diagrams showing various aberrations of the variable power optical system of Example 33.

[0163] Figure 69 It is a cross-sectional view showing the structure of the variable power optical system of Example 34 and a diagram showing the movement trajectory.

[0164] Figure 70 These are diagrams showing various aberrations of the variable power optical system of Example 34.

[0165] Figure 71 This is a perspective view of the front side of an imaging device according to an embodiment.

[0166] Figure 72 This is a perspective view of the back side of an imaging device according to an embodiment. DETAILED DESCRIPTION

[0167] Hereinafter, embodiments of the present invention will be described with reference to the accompanying drawings.

[0168] Figure 1 , a cross-sectional view of the structure at the wide-angle end of the variable magnification optical system according to one embodiment of the present invention and a movement trajectory are shown. Figure 2 Shown in Figure 1 Cross-sectional view of the structure and light beam of the variable magnification optical system in each state. Figure 2 In FIG, the upper section marked with “Wide” shows the wide-angle end state, and the lower section marked with “Te]e” shows the telephoto end state. Figure 2 , an axial light beam wa and a light beam wb of a maximum half angle of view ωw in the wide-angle end state, and an axial light beam ta and a light beam tb of a maximum half angle of view ωL in the telephoto end state are shown as light beams. Figure 1 and Figure 2 The example shown corresponds to the variable magnification optical system of Example 1 described later. Figure 1 and Figure 2 , showing the state of focusing on an object at infinity, with the left side being the object side and the right side being the image side.

[0169] The zoom optical system of the present invention comprises, in order from the object side to the image side along the optical axis Z, a first lens group G1 with positive refractive power, a second lens group G2 with negative refractive power, an intermediate lens group GM, and a final lens group GE with refractive power. The intermediate lens group GM includes at least two and no more than five lens groups. During zooming, the spacing between the first lens group G1 and the second lens group G2 changes, the spacing between the second lens group G2 and the intermediate lens group GM changes, the spacing between the intermediate lens group GM and the final lens group GE changes, and all spacings between adjacent lens groups within the intermediate lens group GM change. This structure facilitates suppression of various aberrations throughout the entire zoom range.

[0170] In addition, the "first lens group G1", "second lens group G2", "lens group" included in the intermediate group GM, and "final lens group GE" in this specification are components of the zoom optical system and are parts that include at least one lens separated by an air gap that changes when zooming. When zooming, each lens group is moved or fixed as a unit, and the spacing between lenses in each lens group remains unchanged. That is, in this specification, a group whose spacing with adjacent groups changes when zooming and whose internal spacing between adjacent lenses remains unchanged is defined as one lens group. In addition, the "lens group" may also include components other than lenses that do not have refractive power, such as an aperture stop St.

[0171] As an example, Figure 1 and Figure 2 The illustrated variable power optical system includes, in order from the object side to the image side, a first lens group G1 , a second lens group G2 , a third lens group G3 , a fourth lens group G4 , and a fifth lens group G5 .

[0172] exist Figure 1 In the example of , the middle group GM includes the third lens group G3 and the fourth lens group G4, and the final lens group GE includes the fifth lens group G5.

[0173] As an example, Figure 2 The lens groups are constructed as follows. The first lens group G1 includes three lenses, L11 to L13, in order from the object side to the image side. The second lens group G2 includes four lenses, L21 to L24, in order from the object side to the image side. The third lens group G3 includes four lenses, aperture stop St and lenses L31 to L34, in order from the object side to the image side. The fourth lens group G4 includes two lenses, L41 to L42, in order from the object side to the image side. The fifth lens group G5 includes two lenses, L51 to L52, in order from the object side to the image side. In addition, Figure 1 and Figure 2 The aperture stop St indicates the position in the optical axis direction, not the shape and size.

[0174] exist Figure 1 and Figure 2 In the example of , when changing magnification, all lens groups change the intervals with adjacent lens groups and move along the optical axis Z. Figure 1 In FIG, below each of the five lens groups, arrows are used to indicate the approximate movement trajectory of each lens group when zooming from the wide-angle end to the telephoto end. Figure 1 As shown in the example, when all lens groups are moved during zooming, it is beneficial to suppress various aberrations in the entire zoom range.

[0175] It is preferred that all lens groups within the first lens group G1, the second lens group G2, and the intermediate lens group GM move during zooming. In this case, it is advantageous to suppress variations in aberrations during zooming. In the technology of the present invention, the final lens group GE can be configured to move during zooming, or the final lens group GE can be configured to be fixed relative to the image plane Sim. In a structure in which the final lens group GE is fixed relative to the image plane Sim during zooming, the drive mechanism of the lens group can be simplified.

[0176] The first lens group G1 preferably includes at least two lenses. In this case, it is advantageous to suppress spherical aberration at the telephoto end.

[0177] The first lens group G1 preferably includes a first lens element that is a negative lens and a second lens element that is a positive lens in order from the object side to the image side. This is advantageous in suppressing axial chromatic aberration and spherical aberration at the telephoto end.

[0178] The first lens group G1 can be constructed to include, in order from the object side to the image side, the first lens, the second lens, and a positive lens. This configuration further reduces axial chromatic aberration and spherical aberration at the telephoto end. Furthermore, this configuration facilitates further miniaturization compared to configurations in which the first lens group G1 includes four or more lenses.

[0179] A negative lens is placed on the object side of the second lens group G2, and the second lens group G2 preferably also includes at least one negative lens different from the negative lens placed on the object side of the second lens group G2 and at least one positive lens. This helps to suppress aberration fluctuations during zooming.

[0180] The middle group GM preferably has positive refractive power as a whole in the entire zoom range. In this case, it is advantageous to shorten the total length of the optical system.

[0181] The middle group GM preferably includes at least one cemented lens composed of one positive lens and one negative lens. In this case, it is advantageous to suppress lateral chromatic aberration and longitudinal chromatic aberration in the entire zoom range.

[0182] The middle group GM preferably includes an anti-vibration group that moves in a direction intersecting the optical axis Z during image shake correction.

[0183] Image shake correction is performed by moving the anti-vibration group. Figure 1 In the example of FIG, the anti-vibration group includes the lens closest to the image side of the third lens group G3 (ie, Figure 2 lens L34). Figure 1 In the diagram, brackets and a vertical upward arrow are written on the lens corresponding to the anti-vibration group.

[0184] The anti-vibration group preferably includes a biconvex lens. In this case, it is advantageous to suppress fluctuations in various aberrations during image shake correction.

[0185] The anti-vibration system can be constructed with two or fewer lenses. This facilitates miniaturization. For example, the anti-vibration system can be constructed with a single lens. This facilitates further miniaturization. Alternatively, the anti-vibration system can be constructed with a single cemented lens consisting of a negative lens and a positive lens. This facilitates suppressing chromatic aberration fluctuations during image shake correction.

[0186] One of the lens groups included in the middle group GM is preferably a focus lens group that moves along the optical axis Z when changing the magnification and focusing. Focusing is performed by moving the focus lens group. By arranging the focus lens group in the middle group GM, it is easy to reduce the diameter of the focus lens group, so it is easy to control the focus lens group. Figure 1 In the example, the focusing lens group includes the fourth lens group G4. Figure 1 The brackets and right-pointing arrow on the fourth lens group G4 indicate that the fourth lens group G4 is a focusing lens group that moves toward the image side when focusing from an object at infinity to an object at a close distance.

[0187] The focusing lens group can be constructed to include one positive lens and one negative lens. In this case, by reducing the number of lenses making up the focusing lens group, the mechanism for controlling the focusing lens group can be simplified, making it easier to quickly focus. Furthermore, the negative and positive lenses within the focusing lens group can offset various aberrations, making it easier to suppress aberration fluctuations during focusing, which contributes to high performance.

[0188] The focusing lens group can be constructed as a cemented lens consisting of a positive lens and a negative lens. In this case, a more compact lens can be achieved compared to an uncemented lens. By miniaturizing the focusing lens group, the mechanism for controlling the focusing lens group can be simplified, making it easier to quickly focus.

[0189] The focusing lens group can be configured to include one negative lens. In this case, further miniaturization can be achieved compared to a focus lens group including two or more lenses. By miniaturizing the focus lens group, the mechanism for controlling the focus lens group can be simplified, and quick focusing is facilitated. Moreover, by making the refractive power of the focus lens group negative, it is easy to give the focus lens group a strong refractive power, thereby helping to suppress the amount of movement of the focus lens group during focusing.

[0190] The middle group GM preferably includes only one focus lens group. In this case, the mechanism for focusing can be simplified. In order to simplify the mechanism, it is preferable that the entire variable magnification optical system includes only one focus lens group.

[0191] The focus lens group may be the lens group closest to the image side of the middle group GM. In this case, it is easy to ensure space for the focus lens group to move during focusing.

[0192] When a zoom optical system includes an anti-vibration group and a focus lens group, the focus lens group is preferably positioned closer to the image side than the anti-vibration group. If the image shake correction mechanism and the focusing mechanism are arranged so as not to interfere with each other, assuming the anti-vibration group is positioned on the image side of the focus lens group, the amount of movement of the focus lens group during focusing will be limited.

[0193] Therefore, by arranging the focus lens group on the image side relative to the anti-vibration group, it is easy to ensure space for the focus lens group to move during focusing.

[0194] The final lens group GE can be a lens group with positive or negative refractive power. The final lens group GE can be constructed to include two or fewer lenses. In this case, miniaturization is facilitated. The final lens group GE can be constructed to include one negative lens and one positive lens. In this case, the negative and positive lenses in the final lens group GE can offset various aberrations, thus facilitating high performance.

[0195] More specifically, the final lens group GE can be composed of, in order from the object side to the image side, a negative lens with a concave object-side surface and a positive lens. This is advantageous for suppressing astigmatism at the wide-angle end and ensuring sufficient peripheral light.

[0196] The aperture stop St can be arranged on the image side of the lens surface closest to the image side of the second lens group G2. The aperture stop St can be arranged on the object side of the lens surface closest to the object side of the final lens group GE.

[0197] The variable magnification optical system may be configured to include at least three aspherical surfaces. In this case, it is advantageous to suppress various aberrations and achieve high optical performance.

[0198] The zoom optical system can be constructed to include a plastic lens with at least one object-side surface and one image-side surface being aspherical. In this case, it is advantageous to achieve high optical performance while taking into account both lightweighting and low cost. The plastic lens with the object-side surface and the image-side surface being aspherical is preferably arranged on the image-side closest to the intermediate group GM and at least one side within the final lens group GE. Since the beam diameter is relatively small on the image-side closest to the intermediate group GM and within the final lens group GE, arranging the plastic lens at such a position helps to suppress the sensitivity to errors in the aspherical shapes of the two surfaces of the plastic lens to a low level. This is conducive to high performance.

[0199] Next, the preferred and achievable structures related to the conditional expressions of the variable magnification optical system of the present invention are described. In the descriptions related to the following conditional expressions, identical symbols are used for parts with the same definition, and repeated descriptions of some symbols are omitted to avoid redundant descriptions. Furthermore, to avoid redundant descriptions, the "variable magnification optical system of the present invention" will be referred to simply as the "variable magnification optical system."

[0200] The zoom optical system preferably satisfies the following conditional expression (1). Here, the back focal length of the entire system at the air conversion distance at the wide-angle end is set to Bfw. The focal length of the entire system in the state of focusing on an infinitely distant object at the telephoto end is set to ft. The maximum half angle of view in the state of focusing on an infinitely distant object at the telephoto end is set to ωt. Tan in the conditional expression (1) is a tangent, and this expression is the same in other conditional expressions. By making the corresponding value of the conditional expression (1) not below the lower limit, the back focal length Bfw defined above will not become too short, so it is easy to install the bayonet replacement mechanism. By making the corresponding value of the conditional expression (1) not above the upper limit, the back focal length Bfw defined above will not become too long, so it is easy to miniaturize. In order to obtain better characteristics, the zoom optical system more preferably satisfies the following conditional expression (1-1), and further preferably satisfies the following conditional expression (1-2).

[0201] 0.4<Bfw / (ft×tanωt)<1.7(1)

[0202] 0.6<Bfw / (ft×tanωt)<1.5(1-1)

[0203] 0.7<Bfw / (ft×tanωt)<1.3(1-2)

[0204] As an example, Figure 2 The back focus Bfw is shown in FIG. The “back focus” is the distance on the optical axis from the lens surface closest to the image side of the zoom optical system to the image plane Sim. Figure 2 As shown in the example of , when there is nothing between the lens surface closest to the image side of the variable magnification optical system and the image plane Sim, the geometric length of the variable magnification optical system from the lens surface closest to the image side to the image plane Sim is equal to the "back focus" in terms of air conversion distance. However, unlike Figure 2 For example, when components such as filters and cover glass are arranged between the lens surface closest to the image side of the zoom optical system and the image plane Sim, the geometric length from the lens surface closest to the image side of the zoom optical system to the image plane Sim is different from the "back focal length" under the air conversion distance. Therefore, the thickness of the above-mentioned components on the optical axis is converted to air to calculate the "back focal length".

[0205] The variable magnification optical system preferably satisfies the following conditional formula (2). Here, the sum of the distance on the optical axis from the lens surface closest to the object side of the first lens group G1 to the lens surface closest to the image side of the final lens group GE in the state of focusing on an infinitely distant object at the wide-angle end and the back focal length of the entire system in the air conversion distance is set as TLw. That is, TLw is the total length in the state of focusing on an infinitely distant object at the wide-angle end. As an example, Figure 2 The total length TLw is shown in FIG. By ensuring that the corresponding value of conditional expression (2) does not fall below the lower limit, it is beneficial to suppress various aberrations throughout the entire zoom range. By ensuring that the corresponding value of conditional expression (2) does not exceed the upper limit, it is beneficial to miniaturize the entire optical system. In order to obtain better characteristics, the zoom optical system more preferably satisfies the following conditional expression (2-1), further preferably satisfies the following conditional expression (2-2), and further preferably satisfies the following conditional expression (2-3).

[0206] 4<TLw / (ft×tanωt)<7(2)

[0207] 4.3<TLw / (ft×tanωt)<6.9(2-1)

[0208] 4.5<TLw / (ft×tanωt)<6.8(2-2)

[0209] 4.7<TLw / (ft×tanωt)<6.7(2-3)

[0210] The zoom optical system preferably satisfies the following conditional formula (3). By ensuring that the corresponding value of conditional formula (3) is not below the lower limit, it is beneficial to suppress various aberrations in the entire zoom range. By ensuring that the corresponding value of conditional formula (3) is not above the upper limit, it is beneficial to miniaturize the entire optical system. In order to obtain better characteristics, the zoom optical system more preferably satisfies the following conditional formula (3-1), and further preferably satisfies the following conditional formula (3-2).

[0211] 0.75<TLw / ft<1.35(3)

[0212] 0.85<TLw / ft<1.25(3-1)

[0213] 0.9<TLw / ft<1.2(3-2)

[0214] The zoom optical system preferably satisfies the following conditional expression (4). Here, the open F value in the state of focusing on an infinitely distant object at the telephoto end is set to FNot. The focal length of the entire system in the state of focusing on an infinitely distant object at the wide-angle end is set to fw. By making the corresponding value of conditional expression (4) not be below the lower limit, it is beneficial to the miniaturization of the entire optical system or particularly beneficial to suppressing various aberrations at the telephoto end. By making the corresponding value of conditional expression (4) not be above the upper limit, it is easy to obtain sufficient brightness at the telephoto end. In order to obtain better characteristics, the zoom optical system more preferably satisfies the following conditional expression (4-1), and further preferably satisfies the following conditional expression (4-2).

[0215] 1.1<FNot / (ft / fw)<3(4)

[0216] 1.2<FNot / (ft / fw)<2.4(4-1)

[0217] 1.28<FNot / (ft / fw)<1.9(4-2)

[0218] The variable magnification optical system preferably satisfies the following conditional expression (5). By ensuring that the corresponding value of conditional expression (5) does not fall below the lower limit, it is advantageous to suppress various aberrations. By ensuring that the corresponding value of conditional expression (5) does not exceed the upper limit, it is advantageous to widen the viewing angle at the wide-angle end. In order to obtain better characteristics, the variable magnification optical system more preferably satisfies the following conditional expression (5-1).

[0219] 0.9<fw / (ft×tanωt)<1.32(5)

[0220] 1<fw / (ft×tanωt)<1.28(5-1)

[0221] The zoom optical system preferably satisfies the following conditional formula (6). By ensuring that the corresponding value of conditional formula (6) does not fall below the lower limit, it is beneficial to suppress various aberrations in the entire zoom range. By ensuring that the corresponding value of conditional formula (6) does not fall above the upper limit, it is beneficial to miniaturize the entire optical system or to obtain a sufficient zoom ratio as a zoom optical system. In order to obtain better characteristics, the zoom optical system more preferably satisfies the following conditional formula (6-1), and further preferably satisfies the following conditional formula (6-2).

[0222] 0.11<(fw×TLw) / ft 2 <0.6(6)

[0223] 0.12<(fw×TLw) / ft 2 <0.45(6-1)

[0224] 0.13<(fw×TLw) / ft 2 <0.25(6-2)

[0225] When the focal length of the first lens group G1 is set to f1 and the focal length of the second lens group G2 is set to f2, the zoom optical system preferably satisfies the following conditional formula (7). By making the corresponding value of conditional formula (7) not be less than the lower limit, the refractive power of the second lens group G2 will not become too weak. Therefore, when the first lens group G1 and the second lens group G2 move during zooming, it is easy to suppress the movement of the first lens group G1 during zooming, which is conducive to miniaturization. By making the corresponding value of conditional formula (7) not be more than the upper limit, the refractive power of the first lens group G1 will not become too weak, which is conducive to suppressing the enlargement of the first lens group G1. In order to obtain better characteristics, the zoom optical system more preferably satisfies the following conditional formula (7-1), and further preferably satisfies the following conditional formula (7-2).

[0226] 2<f1 / (-f2)<15(7)

[0227] 3<f1 / (-f2)<12(7-1)

[0228] 4<f1 / (-f2)<10(7-2)

[0229] When the focal length of the final lens group GE is set to fE, the zoom optical system preferably satisfies the following conditional equation (8). By ensuring that the corresponding value of conditional equation (8) does not fall below the lower limit, it is easy to reduce the angle of incidence of the off-axis principal ray on the image plane Sim at the wide-angle end, thereby facilitating the securing of peripheral light. By ensuring that the corresponding value of conditional equation (8) does not fall above the upper limit, it is beneficial to suppress distortion aberration at the wide-angle end. In order to obtain better characteristics, the zoom optical system more preferably satisfies the following conditional equation (8-1), and further preferably satisfies the following conditional equation (8-2).

[0230] -1<fw / fE<1(8)

[0231] -0.6<fw / fE<0.6(8-1)

[0232] -0.5<fw / fE<0.5(8-2)

[0233] When the focal length of the first lens group G1 is set to f1, the zoom optical system preferably satisfies the following conditional expression (9). By ensuring that the corresponding value of conditional expression (9) does not fall below the lower limit, the refractive power of the first lens group G1 does not become too strong, thereby facilitating suppression of aberration fluctuations during zooming. By ensuring that the corresponding value of conditional expression (9) does not fall above the upper limit, the refractive power of the first lens group G1 does not become too weak, thereby facilitating miniaturization. In order to obtain better characteristics, the zoom optical system more preferably satisfies the following conditional expression (9-1), and further preferably satisfies the following conditional expression (9-2).

[0234] 0.5<f1 / (fw×ft) 1 / 2 <5(9)

[0235] 1<f1 / (fw×ft) 1 / 2 <4(9-1)

[0236] 1.5<f1 / (fw×ft) 1 / 2 <3 (9-2)

[0237] When the focal length of the second lens group G2 is set to f2, the zoom optical system preferably satisfies the following conditional formula (10). By making the corresponding value of conditional formula (10) not be less than the lower limit, the refractive power of the second lens group G2 will not become too strong, thereby suppressing the image curvature generated in the second lens group G2, thereby facilitating aberration correction during zooming. By making the corresponding value of conditional formula (10) not be more than the upper limit, the refractive power of the second lens group G2 will not become too weak, thereby suppressing the movement of the second lens group G2 during zooming, thereby facilitating shortening the total length of the optical system. In order to obtain better characteristics, the zoom optical system more preferably satisfies the following conditional formula (10-1), and further preferably satisfies the following conditional formula (10-2).

[0238] 0.1<(-f2) / (fw×ft) 1 / 2 <1(10)

[0239] 0.15<(-f2) / (fw×ft) 1 / 2 <0.8(10-1)

[0240] 0.2<(-f2) / (fw×ft) 1 / 2 <0.7(10-2)

[0241] The variable power optical system preferably satisfies the following conditional expression (11). By ensuring that the corresponding value of conditional expression (11) does not fall below the lower limit, high performance is achieved. By ensuring that the corresponding value of conditional expression (11) does not exceed the upper limit, the refractive power of the first lens group G1 does not become excessively weak, thereby facilitating miniaturization of the first lens group G1. To achieve even better characteristics, the variable power optical system more preferably satisfies the following conditional expression (11-1), and even more preferably satisfies the following conditional expression (11-2).

[0242] 4<f1 / (ft / FNot)<15(11)

[0243] 5<f1 / (ft / FNot)<13(11-1)

[0244] 6<f1 / (ft / FNot)<12(11-2)

[0245] The variable magnification optical system preferably satisfies the following conditional expression (12). By ensuring that the corresponding value of conditional expression (12) does not fall below the lower limit, various aberrations at the wide-angle end are suppressed. By ensuring that the corresponding value of conditional expression (12) does not exceed the upper limit, the total length of the optical system at the wide-angle end is shortened. To obtain better characteristics, the variable magnification optical system more preferably satisfies the following conditional expression (12-1), and even more preferably satisfies the following conditional expression (12-2).

[0246] 3.5<TLw / fw<6.5(12)

[0247] 4<TLw / fw<6(12-1)

[0248] 4.3<TLw / fw<5.5(12-2)

[0249] The variable magnification optical system preferably satisfies the following conditional formula (13). Here, the sum of the distance on the optical axis from the lens surface closest to the object side of the first lens group G1 to the lens surface closest to the image side of the final lens group GE in the state of focusing on an infinitely distant object at the telephoto end and the back focal length of the entire system in the air conversion distance is set as TLt. That is, TLt is the total length in the state of focusing on an infinitely distant object at the telephoto end. As an example, Figure 2 The total length TLt is shown in FIG. By ensuring that the corresponding value of conditional expression (13) does not fall below the lower limit, various aberrations at the telephoto end are suppressed. By ensuring that the corresponding value of conditional expression (13) does not exceed the upper limit, the total length of the optical system at the telephoto end is shortened. To achieve better characteristics, the variable magnification optical system preferably satisfies the following conditional expression (13-1), and even more preferably satisfies the following conditional expression (13-2).

[0250] 1<TLt / ft<2.5(13)

[0251] 1.2<TLt / ft<2.2(13-1)

[0252] 1.4<TLt / ft<1.8(13-2)

[0253] The variable magnification optical system preferably satisfies the following conditional expression (14). By ensuring that the corresponding value of conditional expression (14) does not fall below the lower limit, the on-axis light beam ta can be slowly focused toward the image plane Sim at the telephoto end, thereby easily suppressing the on-axis chromatic aberration generated when focusing the on-axis light beam ta. By ensuring that the corresponding value of conditional expression (14) does not fall above the upper limit, it is advantageous to shorten the total length of the optical system at the telephoto end. In order to obtain better characteristics, the variable magnification optical system more preferably satisfies the following conditional expression (14-1), and further preferably satisfies the following conditional expression (14-2).

[0254] 7<TLt / (ft×tanωt)<11.5(14)

[0255] 7.5<TLt / (ft×tanωt)<10.5(14-1)

[0256] 8<TLt / (ft×tanωt)<9.5(14-2)

[0257] The zoom optical system preferably satisfies the following conditional expression (15). Here, the maximum half angle of view when focusing on an infinitely distant object at the wide-angle end is set to ωw. The open F value when focusing on an infinitely distant object at the wide-angle end is set to FNow. By making the corresponding value of the conditional expression (15) not be below the lower limit, it is easy to expand the angle of view at the wide-angle end while reducing the open F value at the wide-angle end. By making the corresponding value of the conditional expression (15) not be above the upper limit, it is easy to suppress the increase in the number of lenses and the size of the optical system while obtaining good optical performance. In order to obtain better characteristics, the zoom optical system more preferably satisfies the following conditional expression (15-1), and further preferably satisfies the following conditional expression (15-2).

[0258] 0.17<tanωw / FNow<0.35(15)

[0259] 0.19<tanωw / FNow<0.32(15-1)

[0260] 0.21<tanωw / FNow<0.28(15-2)

[0261] In a configuration where the aperture stop St is located closer to the image side than the lens surface closest to the image side of the second lens group G2, the variable magnification optical system preferably satisfies the following conditional expression (16). Here, the distance on the optical axis from the lens surface closest to the object side of the first lens group G1 to the aperture stop St when focusing on an infinitely distant object at the wide-angle end is denoted as DDGlSTw. As an example, Figure 2The above distance DDG1STw is shown in . By making the corresponding value of conditional expression (16) not be less than the lower limit, the movable area of ​​the second lens group G2 during zooming will not become too small, which is conducive to high zoom ratio. Alternatively, by making the corresponding value of conditional expression (16) not be less than the lower limit, the refractive power of the first lens group G1 will not become too weak, so it is easy to take into account both miniaturization and high zoom ratio. By making the corresponding value of conditional expression (16) not be more than the upper limit, on the wide-angle side, the distance from the lens surface closest to the object side of the first lens group G1 to the entrance pupil position will not become too long, so the enlargement of the diameter of the first lens group G1 can be suppressed, which is conducive to miniaturization. Alternatively, by making the corresponding value of conditional expression (16) not be more than the upper limit, the refractive power of the first lens group G1 will not become too strong, which is conducive to high performance. In order to obtain better characteristics, the zoom optical system more preferably satisfies the following conditional expression (16-1), and further preferably satisfies the following conditional expression (16-2).

[0262] 0.15<DDG1STw / f1<1(16)

[0263] 0.25<DDG1STw / f1<0.8(16-1)

[0264] 0.35<DDG1STw / f1<0.7(16-2)

[0265] When the distance on the optical axis from the lens surface closest to the object of the first lens group G1 to the paraxial entrance pupil position Penw in the state of focusing on an infinitely distant object at the wide-angle end is set as Denw, the variable power optical system preferably satisfies the following conditional expression (17). As an example, Figure 2 The distance Denw and the paraxial entrance pupil position Penw are shown in FIG. In this specification, the sign of Denw is negative when the paraxial entrance pupil position Penw is located closer to the object side than the lens surface of the first lens group G1 closest to the object side, and is positive when the paraxial entrance pupil position Penw is located closer to the image side than the lens surface of the first lens group G1 closest to the object side. By ensuring that the corresponding value of conditional expression (17) does not fall below the lower limit, the distance from the lens surface of the first lens group G1 closest to the object side on the wide-angle side to the paraxial entrance pupil position Penw will not be too short, thereby easily suppressing aberration fluctuations during zooming.

[0266] By ensuring that the corresponding value of conditional expression (17) does not exceed the upper limit, the distance from the lens surface closest to the object side of the first lens group G1 to the paraxial entrance pupil position Penw on the wide-angle side does not become excessively long, thereby suppressing the increase in the diameter of the first lens group G1, thereby facilitating miniaturization. To obtain even better characteristics, the variable magnification optical system more preferably satisfies the following conditional expression (17-1), and even more preferably satisfies the following conditional expression (17-2).

[0267] 1<Denw / {(fw×tanωw)×log(ft / fw)}<3.5(17)

[0268] 1.2<Denw / {(fw×tanωw)×log(ft / fw)}<3(17-1)

[0269] 1.4<Denw / {(fw×tanωw)×log(ft / fw)}<2.5(17-2)

[0270] The zoom optical system preferably satisfies the following conditional expression (18). By making the corresponding value of conditional expression (18) not be less than the lower limit, the distance from the lens surface closest to the object side of the first lens group G1 to the paraxial incident pupil position Penw on the wide-angle side will not become too short, thereby easily suppressing aberration changes during zooming. By making the corresponding value of conditional expression (18) not be more than the upper limit, the distance from the lens surface closest to the object side of the first lens group G1 to the paraxial incident pupil position Penw on the wide-angle side will not become too long, thereby suppressing the enlargement of the diameter of the first lens group G1, thereby facilitating miniaturization. In order to obtain better characteristics, the zoom optical system more preferably satisfies the following conditional expression (18-1), and further preferably satisfies the following conditional expression (18-2).

[0271] 0.3<Denw / (fw×ft) 1 / 2 <1(18)

[0272] 0.4<Denw / (fw×ft) 1 / 2 <0.8(18-1)

[0273] 0.45<Denw / (fw×ft) 1 / 2 <0.7(18-2)

[0274] When the zoom optical system includes an aperture stop St, the zoom optical system preferably satisfies the following conditional expression (19). By making the corresponding value of conditional expression (19) not be less than the lower limit, the distance between the aperture stop St and the first lens group G1 will not become too short on the wide-angle side, and therefore the distance from the lens surface of the first lens group G1 closest to the object side to the entrance pupil position will not become too short, thereby making it easy to suppress aberration changes during zooming. By making the corresponding value of conditional expression (19) not be more than the upper limit, the distance between the aperture stop St and the first lens group G1 will not become too long on the wide-angle side, and therefore the distance from the lens surface of the first lens group G1 closest to the object side to the entrance pupil position will not become too long. Thus, the enlargement of the first lens group G1 can be suppressed, which is conducive to miniaturization. In order to obtain better characteristics, the zoom optical system more preferably satisfies the following conditional expression (19-1), and further preferably satisfies the following conditional expression (19-2).

[0275] 0.25<DDG1STw / TLw<0.6(19)

[0276] 0.3<DDG1STw / TLw<0.55(19-1)

[0277] 0.35<DDG1STw / TLw<0.5(19-2)

[0278] When the sum of the distance on the optical axis from the paraxial exit pupil position Pexw to the lens surface closest to the image side of the final lens group GE in the state of focusing on an infinitely distant object at the wide-angle end and the back focal length of the entire system at the air conversion distance is set to Dexw, the variable magnification optical system preferably satisfies the following conditional formula (20). As an example, Figure 2 The above-mentioned distance Dexw and the paraxial exit pupil position Pexw are shown in FIG. In this specification, the sign of Dexw is set to positive when the paraxial exit pupil position Pexw is located closer to the object side than the image plane Sim, and is set to negative when the paraxial exit pupil position Pexw is located closer to the image side than the image plane Sim. By making the corresponding value of conditional expression (20) not be less than the lower limit, it is easy to shorten the total length of the optical system, which is conducive to miniaturization. By making the corresponding value of conditional expression (20) not be more than the upper limit, it is easy to reduce the incident angle of the off-axis principal light on the image plane Sim, which is conducive to ensuring the peripheral light amount.

[0279] In order to obtain better characteristics, the variable power optical system more preferably satisfies the following conditional expression (20-1), and further preferably satisfies the following conditional expression (20-2).

[0280] 0.3<fw / DexW<0.65(20)

[0281] 0.35<fw / Dexw<0.6(20-1)

[0282] 0.4<fw / Dexw<0.55(20-2)

[0283] When the movement amount of the first lens group G1 when changing the magnification from the wide-angle end to the telephoto end is set to M1, the zoom optical system preferably satisfies the following conditional formula (21). The sign of M1 is set to positive when moving from the object side to the image side, and to negative when moving from the image side to the object side. As an example, Figure 2 The above-mentioned movement amount M1 is shown in . By ensuring that the corresponding value of conditional expression (21) does not fall below the lower limit, it is beneficial to ensure an appropriate zoom ratio. By ensuring that the corresponding value of conditional expression (21) does not exceed the upper limit, it is beneficial to suppress the change in the center of gravity position during zooming. In order to obtain better characteristics, the zoom optical system more preferably satisfies the following conditional expression (21-1), and further preferably satisfies the following conditional expression (21-2).

[0284] 0.2<(-M1) / TLt<0.5(21)

[0285] 0.23<(-M1) / TLt<0.45(21-1)

[0286] 0.25<(-M1) / TLt<0.4(21-2)

[0287] When the movement amount of the second lens group G2 when changing the magnification from the wide-angle end to the telephoto end is set to M2, the zoom optical system preferably satisfies the following conditional formula (22). The sign of M2 is set to positive when moving from the object side to the image side, and is set to negative when moving from the image side to the object side. By making the corresponding value of the conditional formula (22) not be below the lower limit, it is beneficial to ensure an appropriate zoom ratio. By making the corresponding value of the conditional formula (22) not be above the upper limit, it is beneficial to suppress distortion aberration during zooming. In order to obtain better characteristics, the zoom optical system more preferably satisfies the following conditional formula (22-1), and further preferably satisfies the following conditional formula (22-2).

[0288] 0.04<(-M2) / TLt<0.4(22)

[0289] 0.06<(-M2) / TLt<0.3(22-1)

[0290] 0.07<(-M2) / TLt<0.25(22-2)

[0291] When the focal length of the intermediate group GM in the state of focusing on an object at infinity at the wide-angle end is set to fMw, the variable magnification optical system preferably satisfies the following conditional expression (23). By ensuring that the corresponding value of conditional expression (23) does not fall below the lower limit, the total length of the optical system at the wide-angle end is easily shortened, thereby facilitating miniaturization. By ensuring that the corresponding value of conditional expression (23) does not fall above the upper limit, it is advantageous to correct spherical aberration at the wide-angle end. In order to obtain better characteristics, the variable magnification optical system more preferably satisfies the following conditional expression (23-1), and further preferably satisfies the following conditional expression (23-2).

[0292] 0.3<fw / fMw<2(23)

[0293] 0.5<fw / fMw<1.5(23-1)

[0294] 0.6<fw / fMw<1.2(23-2)

[0295] When the focal length of the intermediate group GM in the state of focusing on an object at infinity at the telephoto end is set to fMt, the variable magnification optical system preferably satisfies the following conditional expression (24). By ensuring that the corresponding value of conditional expression (24) does not fall below the lower limit, the total length of the optical system at the telephoto end is easily shortened, thereby facilitating miniaturization. By ensuring that the corresponding value of conditional expression (24) does not fall above the upper limit, it is advantageous to correct spherical aberration at the telephoto end. In order to obtain better characteristics, the variable magnification optical system more preferably satisfies the following conditional expression (24-1), and further preferably satisfies the following conditional expression (24-2).

[0296] 1<ft / fMt<10(24)

[0297] 1.5<ft / fMt<9(24-1)

[0298] 2<ft / fMt<8(24-2)

[0299] When the distance on the optical axis from the lens surface closest to the object side of the first lens group G1 to the lens surface closest to the image side of the first lens group G1 is Dlsum, the variable power optical system preferably satisfies the following conditional expression (25). As an example, Figure 2 The distance D1sum is shown in FIG. By ensuring that the corresponding value of conditional expression (25) does not fall below the lower limit, it is easier to ensure the mechanical strength of the first lens group G1. By ensuring that the corresponding value of conditional expression (25) does not exceed the upper limit, it is advantageous to reduce the weight of the first lens group G1. To obtain better characteristics, the variable magnification optical system more preferably satisfies the following conditional expression (25-1), and even more preferably satisfies the following conditional expression (25-2).

[0300] 0.2<D1sum / (ft / FNot)<1.6(25)

[0301] 0.3<D1sum / (ft / FNot)<1.3(25-1)

[0302] 0.4<D1sum / (ft / FNot)<1.1(25-2)

[0303] The zoom optical system preferably satisfies the following conditional formula (26). Here, the lateral magnification of the second lens group G2 in the state of focusing on an infinitely distant object at the telephoto end is set to β2t. The lateral magnification of the second lens group G2 in the state of focusing on an infinitely distant object at the wide-angle end is set to β2w. By making the corresponding value of the conditional formula (26) not be below the lower limit, it is beneficial to achieve a high zoom ratio. By making the corresponding value of the conditional formula (26) not be above the upper limit, it is beneficial to suppress the aberration change during zooming. In order to obtain better characteristics, the zoom optical system more preferably satisfies the following conditional formula (26-1), and further preferably satisfies the following conditional formula (26-2).

[0304] 1<β2t / β2w<3(26)

[0305] 1.2<β2L / β2w<2.7(26-1)

[0306] 1.3<β2t / β2w<2.5(26-2)

[0307] When the average value of the Abbe numbers of the d-ray reference of all the positive lenses in the first lens group G1 is set to ν1pave, the zoom optical system preferably satisfies the following conditional expression (27). By ensuring that the corresponding value of conditional expression (27) is not below the lower limit, it is particularly advantageous to correct axial chromatic aberration at the telephoto end. By ensuring that the corresponding value of conditional expression (27) is not above the upper limit, it is advantageous to correct various aberrations other than chromatic aberration. In order to obtain better characteristics, the zoom optical system more preferably satisfies the following conditional expression (27-1), and further preferably satisfies the following conditional expression (27-2).

[0308] 40<ν1pave<95(27)

[0309] 60<ν1pave<90(27-1)

[0310] 70<ν1pave<80(27-2)

[0311] When the positive lens with the strongest positive refractive power among the unjointed single lenses of the middle group GM is set as the Lp positive lens, the image side surface of the Lp positive lens is preferably a convex surface. In this case, it is advantageous to correct spherical aberration in the entire zoom range. Figure 2 In the example, lens L34 corresponds to the Lp positive lens.

[0312] When the focal length of the Lp positive lens is set to fp and the focal length of the intermediate group GM in the state of focusing on an infinitely distant object at the wide-angle end is set to fMw, the zoom optical system preferably satisfies the following conditional formula (28). In particular, in a structure in which the image-side surface of the Lp positive lens is a convex surface, the zoom optical system preferably satisfies the conditional formula (28). By making the corresponding value of the conditional formula (28) not be below the lower limit, it is particularly advantageous to correct spherical aberration at the telephoto end. By making the corresponding value of the conditional formula (28) not be above the upper limit, it is particularly easy to reduce the incident angle of the off-axis principal light ray to the image plane Sim at the wide-angle end, which is advantageous to ensure the peripheral light amount.

[0313] In order to obtain better characteristics, the variable magnification optical system more preferably satisfies the following conditional expression (28-1), and further preferably satisfies the following conditional expression (28-2).

[0314] 0.4<fMw / fp<2(28)

[0315] 0.5<fMw / fp<1.5(28-1)

[0316] 0.6<fMw / fp<1.3(28-2)

[0317] The Lp positive lens is preferably a biconvex lens. In this case, it is particularly advantageous to correct spherical aberration at the telephoto end. When the Lp positive lens is a biconvex lens, the object-side surface and the image-side surface of the Lp positive lens are preferably aspherical surfaces. In this case, it is particularly advantageous to correct spherical aberration at the telephoto end. The zoom optical system more preferably satisfies conditional formula (28) and has a preferred structure related to the above-mentioned shape of the Lp positive lens.

[0318] When the effective diameter of the lens surface closest to the object side of the first lens group G1 is set to EDf, and the effective diameter of the lens surface closest to the image side of the final lens group GE is set to EDr, the zoom optical system preferably satisfies the following conditional formula (29). Generally, reducing the diameter of the lens closest to the object side will increase the refractive power of the first lens group G1. If the refractive power of the first lens group G1 increases, the aberration variation during zooming will tend to increase. In view of this situation, by making the corresponding value of conditional formula (29) not below the lower limit, the diameter of the lens closest to the object side will not become too small, and thus the refractive power of the first lens group G1 will not become too strong, which is conducive to suppressing the aberration variation during zooming. Alternatively, by making the corresponding value of conditional formula (29) not below the lower limit, the diameter of the lens closest to the object side will not become too small, which is conducive to ensuring the peripheral light ratio of the maximum image height. By making the corresponding value of conditional formula (29) not above the upper limit, the enlargement of the lens closest to the object side can be suppressed, and thus miniaturization is facilitated. In order to obtain better characteristics, the variable magnification optical system more preferably satisfies the following conditional expression (29-1), and further preferably satisfies the following conditional expression (29-2).

[0319] 1.2<EDf / EDr<3(29)

[0320] 1.4<EDf / EDr<2.6(29-1)

[0321] 1.6<EDf / EDr<2.2(29-2)

[0322] In this specification, the "effective diameter" of a lens surface is defined as twice the distance from the intersection of the outermost ray entering the lens surface from the object side and exiting the lens surface toward the image side to the optical axis Z. "Outer" here refers to the radially outer side, or the side away from the optical axis Z. Furthermore, the "outermost ray" is determined by considering the entire zoom range.

[0323] As an illustration, in Figure 3 An example of the effective diameter ED is shown in FIG. Figure 3 In the image, the left side is the object side and the right side is the image side. Figure 3 The on-axis beam Xa and off-axis beam Xb passing through the lens Lx are shown in FIG. Figure 3 In the example of , the light ray Xb1 which is the upper light ray of the off-axis light beam Xb is the light ray that passes through the outermost side. Figure 3 In the example of , twice the distance from the intersection of the object side surface of lens Lx and the light ray Xb1 to the optical axis Z becomes the effective diameter ED of the object side surface of lens Lx. Figure 3 In FIG, the upper ray of the off-axis beam Xb is the ray that passes through the outermost side. However, which ray becomes the ray that passes through the outermost side varies depending on the optical system.

[0324] The variable magnification optical system preferably satisfies the following conditional formula (30). By ensuring that the corresponding value of conditional formula (30) does not fall below the lower limit, the total length of the optical system can be suppressed from becoming longer, thereby facilitating miniaturization in the optical axis direction. By ensuring that the corresponding value of conditional formula (30) does not fall above the upper limit, the enlargement of the lens closest to the object side can be suppressed, thereby facilitating miniaturization in the radial direction. In order to obtain better characteristics, the variable magnification optical system more preferably satisfies the following conditional formula (30-1), and further preferably satisfies the following conditional formula (30-2).

[0325] 0.25<EDf / TL w <0.6(30)

[0326] 0.3<EDf / TLw<0.55(30-1)

[0327] 0.36<EDf / TL w <0.5(30-2)

[0328] In a structure in which the first lens group G1 includes, in order from the object side to the image side, a first lens as a negative lens and a second lens as a positive lens, when the center thickness of the first lens is set to d1, the zoom optical system preferably satisfies the following conditional equation (31). By ensuring that the corresponding value of conditional equation (31) does not fall below the lower limit, it is advantageous to ensure the strength of the first lens. By ensuring that the corresponding value of conditional equation (31) does not fall above the upper limit, it is advantageous to reduce the weight of the first lens group G1. In order to obtain better characteristics, the zoom optical system more preferably satisfies the following conditional equation (31-1), and further preferably satisfies the following conditional equation (31-2).

[0329] 0.01<d1 / EDf<0.4(31)

[0330] 0.015<d1 / EDf<0.3(31-1)

[0331] 0.02<d1 / EDf<0.2(31-2)

[0332] In a configuration in which the first lens group G1 includes the first lens and the second lens in order from the object side to the image side, the variable power optical system preferably satisfies the following conditional expression (32). By ensuring that the corresponding value of conditional expression (32) does not fall below the lower limit, it is advantageous to ensure the strength of the first lens. By ensuring that the corresponding value of conditional expression (32) does not fall above the upper limit, it is advantageous to reduce the weight of the first lens group G1. In order to obtain better characteristics, the variable power optical system more preferably satisfies the following conditional expression (32-1), and further preferably satisfies the following conditional expression (32-2).

[0333] 0.01<d1 / (Denw×tanωw)<0.15(32)

[0334] 0.02<d1 / (Denw×tanωw)<0.12(32-1)

[0335] 0.03<d1 / (Denw×tanωw)<0.09(32-2)

[0336] In a structure in which the first lens group G1 includes the first lens and the second lens in sequence from the object side to the image side, the zoom optical system preferably satisfies the following conditional formula (33). Here, the center thickness of the second lens is set to d2. The paraxial curvature radius of the object-side surface of the second lens is set to R2f. The paraxial curvature radius of the image-side surface of the second lens is set to R2r. By making the corresponding value of the conditional formula (33) not be below the lower limit, it is beneficial to ensure the strength of the second lens. By making the corresponding value of the conditional formula (33) not be above the upper limit, it is beneficial to reduce the weight of the first lens group G1. In order to obtain better characteristics, the zoom optical system more preferably satisfies the following conditional formula (33-1), and further preferably satisfies the following conditional formula (33-2).

[0337] 0.01<d2×(1 / R2f-1 / R2r)<0.4(33)

[0338] 0.02<d2×(1 / R2f-1 / R2r)<0.35(33-1)

[0339] 0.04<d2×(1 / R2f-1 / R2r)<0.3(33-2)

[0340] In a configuration in which the first lens group G1 includes the first lens and the second lens in order from the object side to the image side, the variable power optical system preferably satisfies the following conditional expression (34). By ensuring that the corresponding value of conditional expression (34) does not fall below the lower limit, it is advantageous to ensure the strength of the first lens. By ensuring that the corresponding value of conditional expression (34) does not fall above the upper limit, it is advantageous to reduce the weight of the first lens group G1. In order to obtain better characteristics, the variable power optical system more preferably satisfies the following conditional expression (34-1), and further preferably satisfies the following conditional expression (34-2).

[0341] 0.005<d1 / f1<0.025(34)

[0342] 0.007<d1 / f1<0.02(34-1)

[0343] 0.008<d1 / f1<0.015(34-2)

[0344] In a structure in which the first lens group G1 includes the first lens and the second lens in sequence from the object side to the image side, the zoom optical system preferably satisfies the following conditional formula (35). Here, the distance on the optical axis from the lens surface of the first lens group G1 closest to the object side to the lens surface of the first lens group G1 closest to the image side is set to D1sum. By making the corresponding value of the conditional formula (35) not be below the lower limit, it is beneficial to ensure the strength of the first lens. By making the corresponding value of the conditional formula (35) not be above the upper limit, it is beneficial to reduce the weight of the first lens group G1. In order to obtain better characteristics, the zoom optical system more preferably satisfies the following conditional formula (35-1), and further preferably satisfies the following conditional formula (35-2).

[0345] 0.05<d1 / D1sum<0.3(35)

[0346] 0.075<d1 / D1sum<0.25(35-1)

[0347] 0.1<d1 / D1sum<0.2(35-2)

[0348] In a structure in which the first lens group G1 includes the first lens and the second lens in sequence from the object side to the image side, the zoom optical system preferably satisfies the following conditional formula (36). Here, the average value of the specific gravity of the first lens and the specific gravity of the second lens is set to G12ave. By making the corresponding value of the conditional formula (36) not below the lower limit, it is possible to use materials with high availability, which is conducive to realizing a zoom optical system in which spherical aberration and axial chromatic aberration are suppressed. By making the corresponding value of the conditional formula (36) not above the upper limit, it is conducive to lightweighting of the first lens group G1. In order to obtain better characteristics, the zoom optical system more preferably satisfies the following conditional formula (36-1), and further preferably satisfies the following conditional formula (36-2).

[0349] 2<G12ave<5.5(36)

[0350] 2.5<G12ave<5(36-1)

[0351] 2.8<G12ave<4(36-2)

[0352] In a structure in which the first lens group G1 includes the first lens and the second lens in sequence from the object side to the image side, it is preferred that the first lens and the second lens are joined. In this case, miniaturization is advantageous. Furthermore, in a structure in which the first lens and the second lens are joined, when the Abbe number of the d-ray reference of the second lens is set to ν2, the zoom optical system preferably satisfies the following conditional formula (37). By making the corresponding value of the conditional formula (37) not be below the lower limit, it is advantageous to suppress the axial chromatic aberration at the telephoto end. By making the corresponding value of the conditional formula (37) not be above the upper limit, over-correction of the axial chromatic aberration at the telephoto end can be suppressed. In order to obtain better characteristics, the zoom optical system more preferably satisfies the following conditional formula (37-1), and further preferably satisfies the following conditional formula (37-2).

[0353] 40<ν2<95(37)

[0354] 55<ν2<90(37-1)

[0355] 68<ν2<83(37-2)

[0356] In a structure in which the first lens group G1 includes the first lens, the second lens, and a positive lens in order from the object side to the image side, when the Abbe number of the d-ray reference of the positive lens closest to the image side of the first lens group G1 is set to ν3, the zoom optical system preferably satisfies the following conditional formula (38). By ensuring that the corresponding value of the conditional formula (38) does not fall below the lower limit, it is advantageous to suppress axial chromatic aberration at the telephoto end. By ensuring that the corresponding value of the conditional formula (38) does not fall above the upper limit, it is possible to suppress overcorrection of axial chromatic aberration at the telephoto end. In order to obtain better characteristics, the zoom optical system more preferably satisfies the following conditional formula (38-1), and further preferably satisfies the following conditional formula (38-2).

[0357] 40<ν3<95(38)

[0358] 50<ν3<90(38-1)

[0359] 60<ν3<85(38-2)

[0360] In a structure in which a negative lens is arranged on the object side of the second lens group G2 and the second lens group G2 further includes at least one negative lens and at least one positive lens different from the negative lens arranged on the object side, the zoom optical system preferably satisfies the following conditional formula (39). Here, the focal length of the negative lens on the object side of the second lens group G2 is set to fL21. By making the corresponding value of the conditional formula (39) not be below the lower limit, it is beneficial to widen the viewing angle at the wide-angle end. By making the corresponding value of the conditional formula (39) not be above the upper limit, it is beneficial to suppress distortion aberration. In order to obtain better characteristics, the zoom optical system more preferably satisfies the following conditional formula (39-1), and further preferably satisfies the following conditional formula (39-2).

[0361] 0.5<fL21 / f2<3(39)

[0362] 0.8<fL21 / f2<2.5(39-1)

[0363] 1<fL21 / f2<2(39-2)

[0364] In a structure in which a negative lens is arranged on the object side of the second lens group G2 and the second lens group G2 further includes at least one negative lens and at least one positive lens different from the negative lens arranged on the object side, the zoom optical system preferably satisfies the following conditional formula (40). Here, the paraxial curvature radius of the object-side surface of the negative lens on the object side of the second lens group G2 is set to RL21f. The paraxial curvature radius of the image-side surface of the negative lens on the object side of the second lens group G2 is set to RL21r. By making the corresponding value of the conditional formula (40) not be below the lower limit, it is advantageous to suppress distortion aberration. By making the corresponding value of the conditional formula (40) not be above the upper limit, it is advantageous to widen the viewing angle at the wide-angle end. In order to obtain better characteristics, the zoom optical system more preferably satisfies the following conditional formula (40-1), and further preferably satisfies the following conditional formula (40-2).

[0365] 0.5<(RL21f+RL21r) / (RL21f-RL21r)<3.5(40)

[0366] 0.75<(RL21f+RL21r) / (RL21f-RL21r)<3(40-1)

[0367] 1<(RL21f+RL21r) / (RL21f-RL21r)<2.75(40-2)

[0368] In a structure in which a negative lens is arranged on the object side of the second lens group G2 and the second lens group G2 further includes at least one negative lens and at least one positive lens different from the negative lens arranged on the object side, the zoom optical system preferably satisfies the following conditional formula (41). Here, the focal length of the second lens from the object side of the second lens group G2 is set to fL22. By making the corresponding value of the conditional formula (41) not be below the lower limit, it is beneficial to suppress the chromatic aberration of magnification. By making the corresponding value of the conditional formula (41) not be above the upper limit, it is beneficial to suppress the distortion aberration. In order to obtain better characteristics, the zoom optical system more preferably satisfies the following conditional formula (41-1), and further preferably satisfies the following conditional formula (41-2).

[0369] 0.4<fL22 / f2<5(41)

[0370] 0.6<fL22 / f2<4(41-1)

[0371] 0.8<fL22 / f2<3.5(41-2)

[0372] The variable power optical system preferably satisfies the following conditional expression (42). By ensuring that the corresponding value of conditional expression (42) is not less than the lower limit, the variable power ratio will not be too low, thereby being able to fully realize the value of the variable power optical system.

[0373] By ensuring that the corresponding value of conditional expression (42) does not exceed the upper limit, the zoom ratio will not become too high, which is conducive to miniaturization. In order to obtain better characteristics, the zoom optical system more preferably satisfies the following conditional expression (42-1), and further preferably satisfies the following conditional expression (42-2).

[0374] 2.5<ft / f w <7(42)

[0375] 3<ft / f w <6(42-1)

[0376] 3.5<ft / fw<5(42-2)

[0377] When the focal length of the lens group closest to the object in the middle group GM is set to f3, the zoom optical system preferably satisfies the following conditional expression (43). By ensuring that the corresponding value of conditional expression (43) does not fall below the lower limit, it is advantageous to suppress the variation of spherical aberration during zooming. By ensuring that the corresponding value of conditional expression (43) does not exceed the upper limit, it is advantageous to suppress the variation of distortion aberration during zooming. In order to obtain better characteristics, the zoom optical system more preferably satisfies the following conditional expression (43-1), and further preferably satisfies the following conditional expression (43-2).

[0378] -1.2<f2 / f3<1(43)

[0379] -1.1<f2 / f3<0.9(43-1)

[0380] -1<f2 / f3<0.8(43-2)

[0381] In a configuration in which a zoom optical system includes at least one plastic lens having an aspheric surface on the object side and an aspheric surface on the image side, when the specific gravity of the plastic lens having the aspheric surface on the object side and the aspheric surface on the image side is set to GP, the zoom optical system preferably satisfies the following conditional expression (44). By ensuring that the corresponding value of conditional expression (44) does not fall below the lower limit, it is possible to use a material with high availability, thereby facilitating suppression of aberration fluctuations during zooming. By ensuring that the corresponding value of conditional expression (44) does not fall above the upper limit, it is advantageous to achieve lightweighting.

[0382] 0.8<GP<1.5(44)

[0383] In a configuration in which the intermediate group GM includes an anti-vibration group, when the focal length of the anti-vibration group is set to fIS, the variable magnification optical system preferably satisfies the following conditional expression (45). By ensuring that the corresponding value of conditional expression (45) does not fall below the lower limit, it is advantageous to shorten the total length of the optical system. By ensuring that the corresponding value of conditional expression (45) does not exceed the upper limit, the refractive power of the anti-vibration group can be ensured, thereby easily suppressing the amount of movement of the anti-vibration group during image shake correction, thereby facilitating miniaturization. In order to obtain better characteristics, the variable magnification optical system more preferably satisfies the following conditional expression (45-1), and further preferably satisfies the following conditional expression (45-2).

[0384] 0.1<fIS / ft<0.7(45)

[0385] 0.15<fIS / ft<0.65(45-1)

[0386] 0.2<fIS / ft<0.6(45-2)

[0387] In a structure in which the anti-vibration group includes a biconvex lens, when the average value of the specific gravity of all the biconvex lenses in the anti-vibration group is set to GISave, the zoom optical system preferably satisfies the following conditional formula (46). By ensuring that the corresponding value of conditional formula (46) does not fall below the lower limit, it is possible to use materials with high availability, which is beneficial for suppressing aberration changes during image shake correction. By ensuring that the corresponding value of conditional formula (46) does not fall above the upper limit, it is beneficial for reducing the weight of the anti-vibration group. In order to obtain better characteristics, the zoom optical system more preferably satisfies the following conditional formula (46-1), and further preferably satisfies the following conditional formula (46-2).

[0388] 2<GISave<5(46)

[0389] 2.25<GISave<4.5(46-1)

[0390] 2.5<GISave<4(46-2)

[0391] In a structure in which the final lens group GE includes, in order from the object side to the image side, one negative lens and one positive lens whose object side surface is a concave surface, the zoom optical system preferably satisfies the following conditional formula (47). Here, the paraxial curvature radius of the object side surface of the negative lens of the final lens group GE is set to REnf. The paraxial curvature radius of the image side surface of the negative lens of the final lens group GE is set to REnr. By making the corresponding value of the conditional formula (47) not be below the lower limit, the absolute value of the curvature radius of the concave surface of the object side surface of the above-mentioned negative lens will not become too small, so it is easy to suppress stray light caused by reflection in the above-mentioned negative lens. By making the corresponding value of the conditional formula (47) not be above the upper limit, it is beneficial to correct image curvature. In order to obtain better characteristics, the zoom optical system more preferably satisfies the following conditional formula (47-1), and further preferably satisfies the following conditional formula (47-2).

[0392] -15<(REnf+REnr) / (REnf-REnr)<-0.1(47)

[0393] -12<(REnf+REnr) / (REnf-REnr)<-0.5(47-1)

[0394] -10<(REnf+REnr) / (REnf-REnr)<-1.2(47-1)

[0395] In a structure in which the final lens group GE includes, in order from the object side to the image side, a negative lens and a positive lens whose object side surface is a concave surface, the zoom optical system preferably satisfies the following conditional formula (48). Here, the paraxial curvature radius of the object side surface of the positive lens of the final lens group GE is set to REpf. The paraxial curvature radius of the image side surface of the positive lens of the final lens group GE is set to REpr. By making the corresponding value of the conditional formula (48) not be below the lower limit, it is beneficial to correct astigmatism. By making the corresponding value of the conditional formula (48) not be above the upper limit, the back focal length will not become too short, which is beneficial to ensure a back focal length of appropriate length. In order to obtain better characteristics, the zoom optical system more preferably satisfies the following conditional formula (48-1), and further preferably satisfies the following conditional formula (48-2).

[0396] -1.3<(REpf+REpr) / (REpf-REpr)<-0.1(48)

[0397] -1.2<(REpf+REpr) / (REpf-REpr)<-0.3(48-1)

[0398] -1.1<(REpf+REpr) / (REpf-REpr)<-0.5(48-2)

[0399] It is possible to configure the movement trajectories of each lens group that moves when changing the magnification from the wide-angle end to the telephoto end to be different from each other, with 5 or 6 different movement trajectories. In other words, it is possible to configure the movement trajectories of each lens group that moves when changing the magnification to be 5 or 6 different types. In this case, the drive mechanism of the lens group can be simplified. For example, as shown in the embodiment described later, when there are multiple lens groups that move with the same movement trajectory when changing the magnification from the wide-angle end to the telephoto end, the movement trajectory count for these multiple lens groups is 1 type. In addition, in the technology of the present invention, if the movement trajectories are different from each other in a part of the magnification area within the entire magnification area, even if the movement trajectories are the same in other parts of the magnification area, they are regarded as different movement trajectories when changing the magnification from the wide-angle end to the telephoto end. Moreover, the above-mentioned "movement trajectory" is of course related to the lens group that moves when changing the magnification, and has nothing to do with the lens group that is fixed when changing the magnification.

[0400] The zoom optical system can be constructed to include multiple lens groups that move along the same trajectory when zooming from the wide-angle end to the telephoto end. In this case, the lens groups that move along the same trajectory can be driven by a single cam, thereby simplifying the lens group drive mechanism. Furthermore, the phrase "same trajectory when zooming from the wide-angle end to the telephoto end" means that the trajectory is the same throughout the entire zoom range from the wide-angle end to the telephoto end.

[0401] When the zoom optical system includes a plurality of lens groups that move along the same movement trajectory when zooming from the wide-angle end to the telephoto end, it can be configured so that at least one lens that moves along the optical axis Z when focusing is arranged between the plurality of lens groups that move along the same movement trajectory. In this case, the plurality of lens groups that move along the same movement trajectory and the at least one lens that moves along the optical axis Z when focusing can be driven by a single cam, and the mechanism that drives the lens when focusing can also be used for the drive when zooming, thereby simplifying the drive mechanism. In addition, the "at least one lens that moves along the optical axis Z when focusing" can be a focusing lens group. For example, in Example 9 described later, the fourth lens group G4 and the sixth lens group G6 move along the same movement trajectory when zooming, and the focusing lens group, i.e., the fifth lens group G5, is arranged between these fourth lens group G4 and sixth lens group G6.

[0402] in addition, Figure 1 The example shown is only an example, and various modifications can be made without departing from the technical scope of the present invention. For example, the number of lenses included in each lens group and the number of lens groups included in the middle group GM can be the same as Figure 1 The number of examples varies.

[0403] For example, the first lens group G1 may be constructed to include the first lens and the second lens described above, in order from the object side to the image side. In this case, compared to a configuration in which the first lens group G1 includes three lenses, miniaturization is facilitated. Alternatively, the first lens group G1 may be constructed to include a single positive lens. In this case, miniaturization is further facilitated.

[0404] The second lens group G2 may include, in order from the object side to the image side, a negative lens, a positive lens, and a negative lens. Alternatively, the second lens group G2 may include, in order from the object side to the image side, a negative lens, a negative lens, and a positive lens.

[0405] The middle group GM preferably includes a plurality of lens groups, preferably not less than two and not more than five, and preferably includes both positive and negative lens groups. This makes it easier to suppress aberration fluctuations during zooming. Based on this perspective, the middle group GM can be constructed as follows.

[0406] The middle group GM may be configured to include, in sequence from the object side to the image side, a lens group with positive refractive power and a lens group with negative refractive power. The middle group GM may be configured to include, in sequence from the object side to the image side, a lens group with positive refractive power, and a lens group with negative refractive power. The middle group GM may be configured to include, in sequence from the object side to the image side, a lens group with positive refractive power, and a lens group with negative refractive power. The middle group GM may be configured to include, in sequence from the object side to the image side, a lens group with positive refractive power, a lens group with positive refractive power, and a lens group with positive refractive power. The middle group GM may be configured to include, in sequence from the object side to the image side, a lens group with positive refractive power, a lens group with positive refractive power, and a lens group with negative refractive power. The middle group GM may be configured to include, in order from the object side to the image side, a lens group with positive refractive power, a lens group with negative refractive power, a lens group with positive refractive power, and a lens group with negative refractive power. The middle group GM may be configured to include, in order from the object side to the image side, a lens group with positive refractive power, a lens group with negative refractive power, a lens group with positive refractive power, and a lens group with negative refractive power. The middle group GM may be configured to include, in order from the object side to the image side, a lens group with positive refractive power, a lens group with positive refractive power, a lens group with positive refractive power, and a lens group with negative refractive power.

[0407] When the intermediate group GM includes, in order from the object side to the image side, a lens group with positive refractive power, a lens group with negative refractive power, a lens group with positive refractive power, a lens group with negative refractive power, and a lens group with negative refractive power, the final lens group GE is preferably fixed relative to the image plane Sim. Furthermore, when the intermediate group GM includes, in order from the object side to the image side, a lens group with positive refractive power, a lens group with positive refractive power, a lens group with positive refractive power, a lens group with negative refractive power, and a lens group with negative refractive power, the final lens group GE is preferably fixed relative to the image plane Sim.

[0408] The final lens group GE may be configured to include one positive lens, or one negative lens.

[0409] The focus lens group may be configured as the second lens group from the image side of the middle group GM. The focus lens group and the anti-vibration group may be arranged continuously or discontinuously.

[0410] The variable magnification optical system of the present invention may be a zoom lens or a variable focal length lens (Varifo callens).

[0411] The above-mentioned preferred structures and possible structures can be any combination, and are preferably adopted selectively according to the required specifications. In addition, the conditional expressions preferably satisfied by the variable magnification optical system of the present invention are not limited to the conditional expressions recorded in the form of formulas, but also include all conditional expressions obtained by arbitrarily combining the lower limit and the upper limit of the preferred, more preferred, further preferred and even further preferred conditional expressions.

[0412] The preferred first mode of the zoom optical system of the present invention includes, from the object side to the image side, a first lens group G1 with positive refractive power, a second lens group G2 with negative refractive power, an intermediate group GM and a final lens group GE with refractive power. The intermediate group GM includes more than 2 and less than 5 lens groups. When the magnification is changed, the interval between the first lens group G1 and the second lens group G2 changes, the interval between the second lens group G2 and the intermediate group GM changes, the interval between the intermediate group GM and the final lens group GE changes, and all intervals between adjacent lens groups in the intermediate group GM change. The zoom optical system satisfies the above-mentioned conditional formula (1).

[0413] A preferred second aspect of the variable power optical system of the present invention has the configuration of the first aspect, wherein the first lens group G1 includes at least two lenses and satisfies the conditional expressions (2-3), (3), (4-2), and (5).

[0414] Next, embodiments of the variable magnification optical system of the present invention will be described with reference to the accompanying drawings. Reference symbols used for lenses in the cross-sectional views of each embodiment are used independently for each embodiment to avoid complication in the description and drawings due to an increase in the number of digits in the reference symbols. Therefore, even if the same reference symbols are used in the drawings of different embodiments, they do not necessarily represent identical structures.

[0415] [Example 1]

[0416] The structure and movement trajectory of the variable magnification optical system of Example 1 are shown in FIG. Figure 1 , its diagrammatic method and structure are as described above, so some repeated descriptions are omitted here. The zoom optical system of Example 1 includes, from the object side to the image side, a first lens group G1 with positive refractive power, a second lens group G2 with negative refractive power, a third lens group G3 with positive refractive power, a fourth lens group G4 with negative refractive power, and a fifth lens group G5 with negative refractive power. The intermediate group GM includes the third lens group G3 and the fourth lens group G4. The final lens group GE includes the fifth lens group G5. When zooming from the wide-angle end to the telephoto end, the above-mentioned five lens groups move along the optical axis Z by changing the intervals with the adjacent lens groups with different movement trajectories.

[0417] The anti-vibration group includes the lens closest to the image side of the third lens group G3. The focusing lens group includes the fourth lens group G4, which moves toward the image side when focusing from an object at infinity to an object at close range.

[0418] Regarding the variable magnification optical system of Example 1, basic lens data is shown in Table 1, specifications and variable surface spacing are shown in Table 2, and aspheric coefficients are shown in Table 3. The table of basic lens data is as follows. The Sn column shows the surface numbers when the surface closest to the object side is set as the first surface and the numbers increase one by one toward the image side. The R column shows the radius of curvature of each surface. The D column shows the surface spacing on the optical axis between each surface and the surface adjacent to its image side. The Nd column shows the refractive index of each constituent element with respect to d-rays. The νd column shows the Abbe number of each constituent element based on d-rays. The ED column shows the effective diameter of the lens surface closest to the object side and the lens surface closest to the image side. The SG column shows the specific gravity of the lens related to the above-mentioned conditional expression including the specific gravity. "Pla" is recorded in the rightmost column of the row corresponding to the plastic lens whose object-side surface and image-side surface are aspherical surfaces.

[0419] In the basic lens data tables, the sign of the curvature radius of the surface that makes the convex shape face the object side is positive, and the sign of the curvature radius of the surface that makes the convex shape face the image side is negative. In Table 1, the surface number column corresponding to the aperture stop St is annotated with the surface number and the term (St). The value at the bottom of column D in the table is the distance between the surface closest to the image side in the table and the image plane Sim. The notation DD[] is used for variable surface spacing, and the object-side surface number of the spacing is enclosed in [].

[0420] Table 2 shows the zoom ratio Zr, focal length f, back focus Bf at air-equivalent distance, open F-number FNo., maximum total angle of view 2ω, and variable surface spacing, based on the d-ray. When the zoom optical system is a zoom lens, the zoom ratio and zoom factor are synonymous. The [°] in the 2ω column indicates the unit of degree. In Table 2, the columns labeled "Wide," "Middle," and "Tele" show the values ​​for the wide-angle end, intermediate focal length, and telephoto end, respectively.

[0421] In the basic lens data, the surface number of the aspheric surface is marked with an * mark, and the value of the paraxial curvature radius is recorded in the curvature radius column of the aspheric surface. In Table 3, the surface number of the aspheric surface is shown in the Sn row, and the numerical value of the aspheric coefficient of each aspheric surface is shown in the KA and Am rows. In addition, m in Am is an integer greater than 3 and varies depending on the surface. For example, in the 11th surface of Example 1, m = 3, 4, 5, 6, 7, 8, 9, 10. The numerical value of the aspheric coefficient of Table 3 "E±n" (n: integer) means "×10 ±n KA and Am are aspherical coefficients in the aspherical formula represented by the following formula.

[0422] Zd=C×h 2 / {1+(1-KA×C 2 ×h 2 ) 1 / 2}+∑Am×h m

[0423] in,

[0424] Zd: depth of aspheric surface (the length of the perpendicular line from a point on the aspheric surface at height h to a plane tangent to the vertex of the aspheric surface and perpendicular to the optical axis Z);

[0425] h: height (the distance from the optical axis Z to the lens surface);

[0426] C: the reciprocal of the paraxial curvature radius;

[0427] KA, Am: aspheric coefficients,

[0428] Σ in the aspherical expression represents the sum related to m.

[0429] The data in each table uses degrees as the unit of angle and millimeters as the unit of length. However, optical systems can be used at either magnification or reduction, so other appropriate units can also be used. Furthermore, the values ​​in the following tables are rounded to a predetermined number of decimal places.

[0430] [Table 1]

[0431] Example 1

[0432]

[0433] [Table 2]

[0434] Example 1

[0435] Wide Middle Tele Zr 1.0 2.4 4.7 f 16.41 38.82 77.28 Bf 10.68 13.70 39.78 FNo. 4.11 5.19 7.19 2ω[°] 84.0 38.0 19.8 DD[5] 0.09 15.25 26.39 DD

[12] 13.52 3.41 1.82 DD

[20] 0.41 2.72 0.41 DD

[23] 11.21 14.38 6.32 DD

[27] 10.68 13.70 39.78

[0436] [Table 3]

[0437] Example 1

[0438] Sn 11 12 14 15 KA 1.0000000E+00 1.0000000E+00 1.0000000E+00 1.0000000E+00 A3 0.0000000E+00 0.0000000E+00 0.0000000E+00 0.0000000E+00 A4 -1.7621994E-04 -2.2536504E-04 -9.4842288E-05 -6.4324131E-05 A5 -7.1362665E-06 -5.3962879E-06 -8.9349624E-08 3.3326408E-06 A6 3.3521926E-06 3.2436990E-06 -1.1615398E-06 -2.3095175E-06 A7 -8.0086542E-11 -7.9492452E-09 1.5058188E-08 3.6101825E-07 A8 -3.3870173E-08 -3.5987282E-08 1.8604699E-08 -2.3185104E-08 A9 -6.9996578E-10 -9.6114165E-11 -1.6263810E-09 -4.3962972E-09 A10 2.0281790E-10 1.9827207E-10 -4.8943783E-10 2.4349976E-10

[0439] Sn 19 20 KA 1.0000000E+00 1.0000000E+00 A3 0.0000000E+00 0.0000000E+00 A4 -9.9603966E-05 2.5775847E-05 A5 3.5411243E-06 2.8542653E-06 A6 5.3664507E-06 4.0418433E-06 A7 -2.5184963E-06 -1.9743651E-06 A8 4.4574574E-07 3.3717935E-07 A9 -3.2624424E-08 -2.2271322E-08 A10 5.5263937E-10 1.7008665E-10

[0440] exist Figure 4 In FIG, various aberration diagrams are shown when the variable power optical system of Example 1 is focused on an object at infinity. Figure 4 In the figure, spherical aberration, astigmatism, distortion and lateral chromatic aberration are shown from the left. Figure 4 In the diagram, the upper section marked with "Wide" shows aberrations at the wide-angle end state, the middle section marked with "Middle" shows aberrations at the intermediate focal length state, and the lower section marked with "Tele" shows aberrations at the telephoto end state. In the spherical aberration diagram, aberrations at the d-ray, C-ray, and F-ray are indicated by solid lines, long dashed lines, and short dashed lines, respectively. In the astigmatism diagram, aberrations at the d-ray in the sagittal direction are indicated by solid lines, and aberrations at the d-ray in the meridional direction are indicated by short dashed lines. In the distortion diagram, aberrations at the d-ray are indicated by solid lines. In the lateral chromatic aberration diagram, aberrations at the C-ray and F-ray are indicated by long dashed lines and short dashed lines, respectively. In the spherical aberration diagram, the value of the open F value is indicated after FNo.=. In the other aberration diagrams, the value of the maximum half angle of view is indicated after ω=.

[0441] Unless otherwise specified, the symbols, meanings, description methods and diagrammatic methods of various data related to the above-mentioned embodiment 1 are basically the same in the following embodiments, and therefore repeated descriptions are omitted below.

[0442] [Example 2]

[0443] The structure and movement trajectory of the variable magnification optical system of Example 2 are shown in FIG. Figure 5 . The zoom optical system of Example 2 includes, from the object side to the image side, a first lens group G1 having positive refractive power, a second lens group G2 having negative refractive power, a third lens group G3 having positive refractive power, a fourth lens group G4 having negative refractive power, and a fifth lens group G5 having negative refractive power. The intermediate group GM includes the third lens group G3 and the fourth lens group G4. The final lens group GE includes the fifth lens group G5. When zooming from the wide-angle end to the telephoto end, the five lens groups mentioned above move along the optical axis Z while changing the intervals with the adjacent lens groups in different moving trajectories. The anti-vibration group includes the lens closest to the image side of the third lens group G3. The focusing lens group includes the fourth lens group G4, which moves toward the image side when focusing from an object at infinity to an object at close range.

[0444] Regarding the variable magnification optical system of Example 2, basic lens data are shown in Table 4, specifications and variable surface spacing are shown in Table 5, aspheric coefficients are shown in Table 6, and various aberration diagrams are shown in Table 7. Figure 6 middle.

[0445] [Table 4]

[0446] Example 2

[0447] Sn R D Nd νd ED SG 1 39.5201 1.0092 1.60414 37.86 40.00 2.53 2 26.2100 6.2806 1.49260 82.28 3.52 3 70.0136 0.0115 4 45.9762 4.1397 1.44040 90.23 5 498.7173 DD[5] 6 41.2776 0.6011 1.91693 37.10 7 10.4548 6.1741 8 -35.3957 0.5084 1.87150 41.74 9 97.4628 2.8804 1.92603 18.70 10 -28.3411 2.4529 *11 -18.4103 0.5900 1.61229 44.93 *12 -39.6107 DD

[12] 13(St) ∞ 0.2498 *14 19.1976 3.1182 1.62521 53.15 *15 -55.9168 5.7172 16 23.3961 0.4976 1.94472 21.14 17 9.9626 2.0333 1.58030 39.97 18 23.5693 3.5931 *19 15.2553 3.6412 1.51062 79.53 3.57 *20 -20.7690 DD

[20] 21 88.4889 1.2188 2.00001 15.00 22 428.2944 0.5075 1.62072 62.42 23 15.8378 DD

[23] 24 -147.2898 2.1924 1.43600 67.00 25 -31.2724 0.2000 26 -38.2286 0.9998 1.60825 64.55 27 126.7869 DD

[27] 19.19

[0448] [Table 5]

[0449] Example 2

[0450] Wide Middle Tele Zr 1.0 2.4 4.7 f 16.46 38.93 77.52 Bf 11.99 17.88 40.90 FNo. 3.59 4.59 6.15 2ω[°] 83.8 38.0 19.8 DD[5] 0.07 15.75 28.49 DD

[12] 15.43 3.52 0.87 DD

[20] 0.59 2.09 0.48 DD

[23] 9.37 12.10 5.87 DD

[27] 11.99 17.88 40.90

[0451] [Table 6]

[0452] Example 2

[0453] Sn 11 12 14 15 KA 1.0000000E+00 1.0000000E+00 1.0000000E+00 1.0000000E+00 A3 0.0000000E+00 0.0000000E+00 0.0000000E+00 0.0000000E+00 A4 -1.8991283E-04 -2.2269047E-04 -8.8739146E-05 -7.2864670E-05 A5 -7.2393010E-06 -5.4814525E-06 -4.8871735E-08 3.0741780E-06 A6 3.3763409E-06 3.2277328E-06 -1.1818299E-06 -2.3684187E-06 A7 4.7844470E-09 -9.8967125E-09 1.2385635E-08 3.5883277E-07 A8 -3.3820227E-08 -3.5215637E-08 1.7676027E-08 -2.0565197E-08 A9 -8.7298826E-10 9.5884262E-11 -1.3947147E-09 -3.6285423E-09 A10 2.0745048E-10 1.5454738E-10 -5.7099741E-10 -1.8130049E-11

[0454] Sn 19 20 KA 1.0000000E+00 1.0000000E+00 A3 0.0000000E+00 0.0000000E+00 A4 -9.5181852E-05 1.6433911E-05 A5 3.0859316E-06 2.7115539E-06 A6 5.3651158E-06 4.0272351E-06 A7 -2.5188996E-06 -1.9765097E-06 A8 4.4468834E-07 3.3665343E-07 A9 -3.3008952E-08 -2.2235830E-08 A10 6.3564355E-10 2.0368645E-10

[0455] [Example 3]

[0456] The structure and movement trajectory of the variable magnification optical system of Example 3 are shown in FIG. Figure 7. The zoom optical system of Example 3 includes, from the object side to the image side, a first lens group G1 having positive refractive power, a second lens group G2 having negative refractive power, a third lens group G3 having positive refractive power, a fourth lens group G4 having negative refractive power, and a fifth lens group G5 having positive refractive power. The intermediate group GM includes the third lens group G3 and the fourth lens group G4. The final lens group GE includes the fifth lens group G5. When zooming from the wide-angle end to the telephoto end, the above-mentioned five lens groups change the intervals with the adjacent lens groups in different movement trajectories and move along the optical axis Z. The anti-vibration group includes the lens closest to the image side of the third lens group G3. The focusing lens group includes the fourth lens group G4, which moves toward the image side when focusing from an object at infinity to an object at close range.

[0457] Regarding the variable magnification optical system of Example 3, basic lens data are shown in Table 7, specifications and variable surface spacing are shown in Table 8, aspheric coefficients are shown in Table 9, and various aberration diagrams are shown in Table 10. Figure 8 middle.

[0458] [Table 7]

[0459] Example 3

[0460] Sn R D Nd νd ED SG 1 44.3766 0.9999 1.96717 31.96 40.00 5.38 2 33.3330 4.8604 1.49742 81.54 3.55 3 77.3150 0.0460 4 43.6700 4.5002 1.49964 81.20 5 954.0526 DD[5] 6 36.6737 0.5994 1.81772 47.25 7 10.4358 6.4170 8 -40.9332 0.5099 1.76619 52.52 9 21.0190 2.9649 1.86377 21.81 10 -118.6894 2.5736 *11 -13.4567 0.5043 1.44914 88.90 *12 -32.4970 DD

[12] 13(St) ∞ 0.2498 *14 16.2616 3.8503 1.55371 72.97 *15 -39.3579 4.5336 16 16.4971 0.4996 1.98238 23.99 17 9.5210 2.5000 1.45018 66.09 18 32.2734 1.1834 *19 15.8994 3.6597 1.43599 90.90 3.15 *20 -22.1896 DD

[20] 21 -27539.2970 2.3309 1.94963 24.18 22 -18.5915 0.5098 1.80165 48.89 23 16.3770 DD

[23] 24 -15.7492 0.4998 1.87646 21.18 25 -19.9783 0.2000 26 54.4601 2.2502 1.79586 49.48 27 ∞ DD

[27] 22.40

[0461] [Table 8]

[0462] Example 3

[0463] Wide Middle Tele Zr 1.0 2.4 4.7 f 16.50 39.03 77.71 Bf 11.50 22.70 39.03 FNo. 3.59 4.70 6.48 2ω[°] 85.4 38.4 20.0 DD[5] 0.10 15.69 27.84 DD

[12] 13.72 4.10 0.90 DD

[20] 1.80 5.32 5.30 DD

[23] 11.11 7.48 6.87 DD

[27] 11.50 22.70 39.03

[0464] [Table 9]

[0465] Example 3

[0466] Sn 11 12 14 15 KA 1.0000000E+00 1.0000000E+00 1.0000000E+00 1.0000000E+00 A3 0.0000000E+00 0.0000000E+00 0.0000000E+00 0.0000000E+00 A4 -1.6277319E-04 -1.9539313E-04 -6.9440858E-05 -1.7166172E-05 A5 -4.6593165E-06 -3.4685805E-06 2.9628264E-06 9.9364012E-07 A6 2.9975821E-06 3.1664290E-06 -1.5939235E-06 -1.8891733E-06 A7 -2.5752323E-08 -6.8301538E-08 4.3727385E-08 3.3790300E-07 A8 -3.6596293E-08 -4.1060933E-08 2.3324346E-08 -1.6494733E-08 A9 -1.3640872E-09 9.6556790E-10 -1.7035509E-09 -3.0127561E-09 A10 3.9084880E-10 2.2823428E-10 -4.6311918E-10 -7.8919724E-11

[0467] Sn 19 20 KA 1.0000000E+00 1.0000000E+00 A3 0.0000000E+00 0.0000000E+00 A4 -4.5014476E-05 5.5128769E-05 A5 -3.0388018E-06 -5.4584685E-06 A6 5.6454037E-06 5.0161608E-06 A7 -2.3685446E-06 -1.9443752E-06 A8 4.3673532E-07 3.3203597E-07 A9 -3.4414567E-08 -2.2810813E-08 A10 6.5034734E-10 1.3264971E-10

[0468] [Example 4]

[0469] The structure and movement trajectory of the variable magnification optical system of Example 4 are shown in FIG. Figure 9. The zoom optical system of Example 4 includes, from the object side to the image side, a first lens group G1 having positive refractive power, a second lens group G2 having negative refractive power, a third lens group G3 having positive refractive power, a fourth lens group G4 having negative refractive power, and a fifth lens group G5 having negative refractive power. The intermediate group GM includes the third lens group G3 and the fourth lens group G4. The final lens group GE includes the fifth lens group G5. When zooming from the wide-angle end to the telephoto end, the five lens groups mentioned above move along the optical axis Z while changing the intervals with the adjacent lens groups in different moving trajectories. The anti-vibration group includes the lens closest to the image side of the third lens group G3. The focusing lens group includes the fourth lens group G4, which moves toward the image side when focusing from an object at infinity to an object at close range.

[0470] Regarding the variable magnification optical system of Example 4, basic lens data are shown in Table 10, specifications and variable surface spacing are shown in Table 11, aspheric coefficients are shown in Table 12, and various aberration diagrams are shown in Table 13. Figure 10 .

[0471] [Table 10]

[0472] Example 4

[0473] Sn R D Nd νd ED SG 1 34.3955 1.0095 1.63929 36.52 40.00 5.38 2 24.6615 7.6756 1.47193 85.42 3.55 3 96.8722 0.0222 4 62.6618 2.9998 1.48497 83.44 5 306.9664 DD[5] 6 52.5208 0.6295 1.82215 46.79 7 10.1587 6.1520 8 -46.2268 0.4992 1.93219 35.53 9 72.5149 2.8819 1.89053 20.47 10 -30.2855 2.2424 *11 -17.9751 0.4994 1.54061 50.19 *12 -41.8454 DD

[12] 13(St) ∞ 0.2498 *14 19.0338 3.3207 1.73855 53.71 *15 -44.3699 4.9092 16 45.6705 0.4993 1.86486 28.53 17 9.7649 2.2026 1.49890 59.23 18 31.4238 3.4897 *19 15.1992 3.8815 1.43599 90.90 3.15 *20 -17.2063 DD

[20] 21 48.7992 0.4994 1.50183 80.87 22 16.2111 DD

[22] 23 -74.8685 3.2686 1.84975 22.51 24 -32.0471 0.2000 25 -32.9127 1.0000 1.72972 56.23 26 171.2480 DD

[26] 19.22

[0474] [Table 11]

[0475] Example 4

[0476] Wide Middle Tele Zr 1.0 2.4 4.7 f 16.48 38.99 77.62 Bf 12.00 15.78 37.51 FNo. 3.59 4.51 6.22 2ω[°] 84.6 38.0 19.8 DD[5] 0.07 15.18 25.85 DD

[12] 16.69 4.08 0.90 DD

[20] 0.62 2.77 0.49 DD

[22] 8.54 12.05 8.55 DD

[26] 12.00 15.78 37.51

[0477] [Table 12]

[0478] Example 4

[0479] Sn 11 12 14 15 KA 1.0000000E+00 1.0000000E+00 1.0000000E+00 1.0000000E+00 A3 0.0000000E+00 0.0000000E+00 0.0000000E+00 0.0000000E+00 A4 -1.8836005E-04 -2.3219223E-04 -8.8278059E-05 -6.6900781E-05 A5 -7.1660479E-06 -5.7322214E-06 1.0382107E-07 3.0846476E-06 A6 3.3664297E-06 3.2273044E-06 -1.1922998E-06 -2.3582085E-06 A7 4.2625142E-09 -1.0472966E-08 1.2452452E-08 3.6239116E-07 A8 -3.3772224E-08 -3.5358255E-08 1.7984305E-08 -1.9634044E-08 A9 -8.5670669E-10 7.1100361E-11 -1.2465709E-09 -3.6235724E-09 A10 2.0571630E-10 1.5866515E-10 -6.0162333E-10 -4.0990011E-11

[0480] Sn 19 20 KA 1.0000000E+00 1.0000000E+00 A3 0.0000000E+00 0.0000000E+00 A4 -1.1384858E-04 1.5134968E-05 A5 3.1293080E-06 2.4030202E-06 A6 5.3652078E-06 4.0275174E-06 A7 -2.5202452E-06 -1.9744364E-06 A8 4.4454931E-07 3.3696540E-07 A9 -3.2861971E-08 -2.2306417E-08 A10 6.2222909E-10 2.0200405E-10

[0481] [Example 5]

[0482] The structure and movement trajectory of the variable magnification optical system of Example 5 are shown in FIG. Figure 11. The zoom optical system of Example 5 includes, from the object side to the image side, a first lens group G1 having positive refractive power, a second lens group G2 having negative refractive power, a third lens group G3 having positive refractive power, a fourth lens group G4 having negative refractive power, and a fifth lens group G5 having negative refractive power. The intermediate group GM includes the third lens group G3 and the fourth lens group G4. The final lens group GE includes the fifth lens group G5. When zooming from the wide-angle end to the telephoto end, the five lens groups mentioned above move along the optical axis Z while changing the intervals with the adjacent lens groups in different moving trajectories. The anti-vibration group includes the lens closest to the image side of the third lens group G3. The focusing lens group includes the fourth lens group G4, which moves toward the image side when focusing from an object at infinity to an object at close range.

[0483] Regarding the variable magnification optical system of Example 5, basic lens data are shown in Table 13, specifications and variable surface spacing are shown in Table 14, aspheric coefficients are shown in Table 15, and various aberration diagrams are shown in Table 16. Figure 12 middle.

[0484] [Table 13]

[0485] Example 5

[0486]

[0487] [Table 14]

[0488] Example 5

[0489] Wide Middle Tele Zr 1.0 2.4 4.7 f 16.47 38.95 77.55 Bf 14.40 22.96 31.05 FNo. 4.12 5.54 7.27 2ω[°] 86.0 38.6 20.2 DD[3] 0.05 15.47 29.47 DD

[11] 16.88 5.06 0.85 DD

[19] 1.59 3.82 2.10 DD

[21] 8.56 10.56 20.37 DD

[25] 14.40 22.96 31.05

[0490] [Table 15]

[0491] Example 5

[0492] Sn 10 11 13 14 KA 1.0000000E+00 1.0000000E+00 1.0000000E+00 1.0000000E+00 A3 0.0000000E+00 0.0000000E+00 0.0000000E+00 0.0000000E+00 A4 -1.7903841E-04 -2.1849964E-04 -1.2094863E-04 -9.9578081E-05 A5 -7.3937545E-06 -5.5096726E-06 3.7935569E-06 2.8436864E-06 A6 3.3430142E-06 3.1855933E-06 -2.1020666E-06 -2.4197271E-06 A7 1.8349740E-09 -1.5095953E-08 -5.4037862E-08 3.0601843E-07 A8 -3.3953363E-08 -3.5625003E-08 4.1123123E-08 -3.6429743E-08 A9 -8.4623664E-10 2.0020654E-10 -4.1085959E-09 -1.2756968E-09 A10 2.2771719E-10 1.6786606E-10 -8.2037084E-10 -2.5737079E-10

[0493] Sn 18 19 KA 1.0000000E+00 1.0000000E+00 A3 0.0000000E+00 0.0000000E+00 A4 -7.8306477E-05 3.3317212E-06 A5 3.4495453E-06 2.3012964E-06 A6 5.2676649E-06 4.1237866E-06 A7 -2.5146781E-06 -1.9712503E-06 A8 4.4780889E-07 3.3524678E-07 A9 -3.3586224E-08 -2.2481082E-08 A10 5.9937877E-10 1.4013552E-10

[0494] Sn 22 23 KA 1.0000000E+00 1.0000000E+00 A4 -1.8793318E-09 -3.0005150E-06 A6 4.6370589E-09 -5.8918331E-09 A8 1.2774942E-12 -5.5552645E-12 A10 -1.1749842E-13 -5.8298300E-14 A12 -2.9570753E-15 -1.2108220E-15 A14 -6.4125699E-17 -3.0129066E-17 A16 -1.1037238E-18 -1.0978037E-18 A18 -1.2346048E-20 -2.1273932E-21 A20 -3.5005614E-23 1.8033370E-23

[0495] [Example 6]

[0496] The structure and movement trajectory of the variable magnification optical system of Example 6 are shown in FIG. Figure 13. The zoom optical system of Example 6 includes, from the object side to the image side, a first lens group G1 having positive refractive power, a second lens group G2 having negative refractive power, a third lens group G3 having positive refractive power, a fourth lens group G4 having negative refractive power, a fifth lens group G5 having negative refractive power, and a sixth lens group G6 having positive refractive power. The intermediate group GM includes the third lens group G3, the fourth lens group G4, and the fifth lens group G5. The final lens group GE includes the sixth lens group G6. When zooming from the wide-angle end to the telephoto end, the six lens groups mentioned above move along the optical axis Z while changing the intervals with the adjacent lens groups in different movement trajectories. The anti-vibration group includes a cemented lens formed by cementing the fourth lens and the fifth lens from the object side of the third lens group G3. The focusing lens group includes the fourth lens group G4, which moves toward the image side when focusing from an object at infinity to an object at close range.

[0497] Regarding the variable magnification optical system of Example 6, basic lens data are shown in Table 16, specifications and variable surface spacing are shown in Table 17, aspheric coefficients are shown in Table 18, and various aberration diagrams are shown in Table 19. Figure 14 middle.

[0498] [Table 16]

[0499] Example 6

[0500] Sn R D Nd νd ED SG 1 31.9742 4.2252 1.72513 56.46 33.40 4.07 2 79.1678 DD[2] 5.18 3 37.0230 0.8477 1.99882 28.44 4 10.2634 8.3135 5 -26.8918 0.6532 1.61600 63.34 6 31.1960 0.1100 7 22.3078 2.7488 1.92582 18.71 8 140.7870 DD[8] *9 16.0740 2.9458 1.79421 25.87 *10 -57.5062 0.1477 11 13.1476 3.1054 1.61953 62.79 12 -29.3596 0.7192 1.95978 23.30 13 9.9763 2.1066 14(St) ∞ 1.5746 15 18.3189 0.7143 1.95570 33.10 16 13.2540 2.3948 1.44177 90.02 3.13 17 -41.3879 0.8752 18 215.0978 1.5751 1.90842 23.99 19 118.8728 0.6348 1.67219 40.40 20 -24.4570 DD

[20] 21 28.3950 0.7000 1.77739 51.37 22 15.4621 DD

[22] *23 -16.4020 1.0352 1.43600 90.90 *24 -24.9657 DD

[24] 25 41.2234 1.7803 1.86871 27.41 26 84.0541 DD

[26] 21

[0501] [Table 17]

[0502] Example 6

[0503] Wide Middle Tele Zr 1.0 2.4 4.7 f 15.08 35.66 71.01 Bf 12.35 32.53 36.47 FNo. 4.11 6.10 7.31 2ω[°] 97.4 45.2 23.4 DD[2] 0.10 8.06 20.16 DD[8] 18.67 5.94 2.08 DD

[20] 0.71 0.60 0.66 DD

[22] 3.75 6.58 8.47 DD

[24] 8.07 4.16 23.53 DD

[26] 12.35 32.53 36.47

[0504] [Table 18]

[0505] Example 6

[0506] Sn 9 10 23 24 KA 1.0000000E+00 1.0000000E+00 1.0000000E+00 1.0000000E+00 A4 -2.1034923E-05 3.6232350E-06 -7.9526593E-05 -9.7829641E-05 A6 -1.1234973E-07 -2.1752203E-07 2.0789496E-06 1.5134702E-06 A8 -5.3752502E-09 -3.6539121E-09 -6.1796618E-09 8.8166369E-09 A10 -3.3997859E-10 -4.3618103E-10 6.5449497E-10 -8.0060124E-10 A12 6.8092136E-12 3.9586326E-12 -4.2591112E-11 4.1566888E-12 A14 -7.2825415E-14 2.5138110E-13 1.8000834E-15 2.2203430E-13 A16 1.3687641E-15 -6.5027613E-15 3.0114488E-14 7.7824448E-15 A18 -7.1603480E-17 -3.6669940E-17 2.5927281E-16 -2.8009449E-16 A20 3.5388843E-19 9.3776113E-19 -1.6501432E-17 1.1077887E-18

[0507] [Example 7]

[0508] The structure and movement trajectory of the variable magnification optical system of Example 7 are shown in FIG. Figure 15. The zoom optical system of Example 7 includes, from the object side to the image side, a first lens group G1 having positive refractive power, a second lens group G2 having negative refractive power, a third lens group G3 having negative refractive power, a fourth lens group G4 having positive refractive power, a fifth lens group G5 having negative refractive power, and a sixth lens group G6 having negative refractive power. The intermediate group GM includes the third lens group G3, the fourth lens group G4, and the fifth lens group G5. The final lens group GE includes the sixth lens group G6. When zooming from the wide-angle end to the telephoto end, the six lens groups mentioned above move along the optical axis Z while changing the intervals with the adjacent lens groups in different moving trajectories. The anti-vibration group includes the lens closest to the image side of the fourth lens group G4. The focusing lens group includes the fifth lens group G5, which moves toward the image side when focusing from an object at infinity to an object at close range.

[0509] Regarding the variable magnification optical system of Example 7, basic lens data are shown in Table 19, specifications and variable surface spacing are shown in Table 20, aspheric coefficients are shown in Table 21, and various aberration diagrams are shown in Table 22. Figure 16 .

[0510] [Table 19]

[0511] Example 7

[0512]

[0513] [Table 20]

[0514] Example 7

[0515] Wide Middle Tele Zr 1.0 2.4 4.3 f 15.71 37.16 67.55 Bf 9.69 35.79 47.87 FNo. 4.13 6.42 7.49 2ω[°] 89.2 41.0 23.0 DD[5] 0.10 12.32 30.33 DD

[10] 12.83 5.16 2.02 DD

[12] 8.49 4.56 2.05 DD

[22] 1.46 0.30 1.20 DD

[24] 15.25 9.70 6.26 DD

[26] 9.69 35.79 47.87

[0516] [Table 21]

[0517] Example 7

[0518] Sn 11 12 14 15 KA 1.0000000E+00 1.0000000E+00 1.0000000E+00 1.0000000E+00 A4 -2.0341624E-05 -6.3794294E-05 1.5148923E-04 2.6226079E-04 A6 -1.5430302E-06 -2.6186961E-06 2.1619009E-06 3.1684389E-06 A8 2.3463878E-08 7.5008615E-08 -5.2727186E-08 -3.0367190E-08 A10 2.4404045E-09 3.7169150E-09 1.2961122E-08 8.9576091E-09 A12 2.7333716E-11 -2.9414898E-10 -3.4264585E-10 -8.7134701E-11 A14 -1.3352297E-11 2.2510723E-12 -1.8801159E-12 -1.4493900E-11 A16 5.4402112E-13 2.5363150E-13 -2.3246146E-13 5.3592089E-13 A18 -7.6317593E-15 -6.9795297E-15 2.8550102E-14 9.6601973E-16 A20 1.8914071E-17 4.6802449E-17 -5.4940340E-16 -1.7543994E-16

[0519] Sn 21 22 23 24 KA 1.0000000E+00 1.0000000E+00 1.0000000E+00 1.0000000E+00 A4 -7.8171189E-05 7.4905767E-06 1.1409915E-05 -7.8477882E-06 A6 -1.7498493E-07 -8.2518050E-07 -1.6875830E-06 -1.4977289E-06 A8 -3.7756843E-09 6.6629691E-09 2.4833645E-08 4.6418819E-08 A10 1.3152300E-09 4.9273086E-10 3.0032688E-09 1.0839228E-09 A12 -1.3892995E-10 2.2000223E-11 -1.0850323E-10 -8.1596423E-11 A14 9.0155524E-12 -8.4613978E-13 -9.9361753E-13 5.1397656E-13 A16 -2.4769694E-13 -1.5937071E-15 9.3225734E-14 3.6690710E-14 A18 2.5183959E-15 2.9668419E-16 -1.0902372E-15 -5.3752017E-16

[0520] [Example 8]

[0521] The structure and movement trajectory of the variable magnification optical system of Example 8 are shown in FIG. Figure 17. The zoom optical system of Example 8 includes, from the object side to the image side, a first lens group G1 having positive refractive power, a second lens group G2 having negative refractive power, a third lens group G3 having positive refractive power, a fourth lens group G4 having positive refractive power, a fifth lens group G5 having negative refractive power, and a sixth lens group G6 having negative refractive power. The intermediate group GM includes the third lens group G3, the fourth lens group G4, and the fifth lens group G5. The final lens group GE includes the sixth lens group G6. When zooming from the wide-angle end to the telephoto end, the above-mentioned six lens groups change the intervals with the adjacent lens groups with different movement trajectories and move along the optical axis Z. The anti-vibration group includes the fourth lens group G4. The focusing lens group includes the fifth lens group G5, which moves toward the image side when focusing from an object at infinity to an object at close range.

[0522] Regarding the variable magnification optical system of Example 8, basic lens data are shown in Table 22, specifications and variable surface spacing are shown in Table 23, aspheric coefficients are shown in Table 24, and various aberration diagrams are shown in Table 25. Figure 18 .

[0523] [Table 22]

[0524] Example 8

[0525] Sn R D Nd νd ED SG 1 50.8023 1.1065 1.94348 34.25 40.00 5.33 2 34.0735 4.7874 1.54202 74.23 3.61 3 83.8226 0.0421 4 46.1074 4.4895 1.51303 79.17 5 -3116.2724 DD[5] 6 20.3142 0.5140 1.85526 43.40 7 8.8515 6.1003 8 -21.2861 0.6153 1.77515 51.60 9 15.8317 3.3996 1.84217 23.45 10 -36.1271 1.3085 *11 -14.4393 0.5103 1.81462 45.23 *12 -34.5028 DD

[12] 13(St) ∞ 0.2503 *14 14.3042 3.6857 1.62850 60.57 *15 -29.6357 1.4981 16 17.7396 0.4950 1.98891 27.55 17 8.6112 2.9758 1.43600 89.81 18 66.3035 DD

[18] *19 24.9133 3.5541 1.47393 84.50 3.32 *20 -15.1401 DD

[20] 21 -174.1219 1.8205 1.93502 25.84 22 -25.1900 0.5060 1.59644 64.28 23 14.1672 DD

[23] 24 -14.6600 0.6193 1.89228 24.66 25 -22.3987 0.2000 26 53.0960 2.1806 1.59003 40.31 27 ∞ DD

[27] 21.698

[0526] [Table 23]

[0527] Example 8

[0528] Goodbye Middle TV Zr 1.0 2.4 4.7 f 16.53 39.10 77.85 Bf 10.96 22.16 36.01 FNo. 3.59 4.88 6.56 2ω[°] 84.2 37.8 19.8 DD[5] 0.09 18.22 31.44 DD

[12] 9.44 3.23 0.89 DD

[18] 2.76 2.58 2.28 DD

[20] 0.42 3.33 3.66 DD

[23] 11.82 9.03 9.25 DD

[27] 10.96 22.16 36.01

[0529] [Table 24]

[0530] Example 8

[0531] Sn 11 12 14 15 KA 1.0000000E+00 1.0000000E+00 1.0000000E+00 1.0000000E+00 A3 0.0000000E+00 0.0000000E+00 0.0000000E+00 0.0000000E+00 A4 -1.7491768E-04 -1.9530783E-04 -7.5947253E-05 3.9806912E-05 A5 -5.9677481E-06 -2.9310874E-06 4.8459356E-06 2.4898289E-06 A6 3.0344823E-06 2.9605670E-06 -1.5748570E-06 -1.8973773E-06 A7 -3.2199115E-08 -1.0231623E-07 5.2370807E-08 3.5153896E-07 A8 -4.3788174E-08 -3.8267597E-08 2.6137044E-08 -1.2465038E-08 A9 -2.0741523E-09 1.9429317E-09 -1.6261292E-09 -2.5055492E-09 A10 5.6595241E-10 1.3435209E-10 -3.7503824E-10 -1.0529055E-10

[0532] Sn 19 20 KA 1.0000000E+00 1.0000000E+00 A3 0.0000000E+00 0.0000000E+00 A4 -5.8659555E-05 1.7740222E-05 A5 -5.1029930E-06 -6.4093396E-06 A6 5.6549800E-06 5.0236482E-06 A7 -2.3522089E-06 -1.9677829E-06 A8 4.3283051E-07 3.2566601E-07 A9 -3.5715074E-08 -2.3133064E-08 A10 9.1650045E-10 2.9993819E-10

[0533] [Example 9]

[0534] The structure and movement trajectory of the variable magnification optical system of Example 9 are shown in FIG. Figure 19The zoom optical system of Example 9 includes, from the object side to the image side, a first lens group G1 having positive refractive power, a second lens group G2 having negative refractive power, a third lens group G3 having positive refractive power, a fourth lens group G4 having positive refractive power, a fifth lens group G5 having negative refractive power, and a sixth lens group G6 having negative refractive power. The intermediate group GM includes the third lens group G3, the fourth lens group G4, and the fifth lens group G5. The final lens group GE includes the sixth lens group G6. When zooming from the wide-angle end to the telephoto end, the fourth lens group G4 and the sixth lens group G6 move along the optical axis Z along the same movement trajectory, and the first lens group G1, the second lens group G2, the third lens group G3, the fourth lens group G4, and the fifth lens group G5 move along the optical axis Z along different movement trajectories while changing the intervals with adjacent lens groups. The anti-vibration group includes the fourth lens group G4. The focusing lens group includes the fifth lens group G5, which moves toward the image side when focusing from an object at infinity to an object at a close distance.

[0535] Regarding the variable magnification optical system of Example 9, basic lens data are shown in Table 25, specifications and variable surface spacing are shown in Table 26, aspheric coefficients are shown in Table 27, and various aberration diagrams are shown in Table 28. Figure 20 .

[0536] [Table 25]

[0537] Example 9

[0538]

[0539] [Table 26]

[0540] Example 9

[0541] Goodbye Middle TV Zr 1.0 2.4 4.7 f 16.50 39.02 77.69 Bf 11.00 22.61 39.01 FNo. 3.59 4.81 6.60 2ω[°] 84.4 38.4 20.0 DD[5] 0.09 16.20 27.41 DD

[12] 14.88 4.75 0.90 DD

[18] 2.77 1.98 2.13 DD

[20] 0.50 2.28 1.88 DD

[23] 10.72 8.94 9.34 DD

[27] 11.00 22.61 39.01

[0542] [Table 27]

[0543] Example 9

[0544] Sn 11 12 14 15 KA 1.0000000E+00 1.0000000E+00 1.0000000E+00 1.0000000E+00 A3 0.0000000E+00 0.0000000E+00 0.0000000E+00 0.0000000E+00 A4 -1.4792954E-04 -1.9624698E-04 -7.3459586E-05 -3.1727723E-05 A5 -5.5782663E-06 -3.1626945E-06 2.2726393E-06 8.0473699E-07 A6 3.0494523E-06 3.0022576E-06 -1.7105631E-06 -2.0034506E-06 A7 -2.0204121E-08 -7.7586176E-08 3.7767693E-08 3.2744043E-07 A8 3.7233488E-08 -3.9349927E-08 2.6658439E-08 -1.4742243E-08 A9 -1.4935997E-09 9.3397306E-10 -1.0806356E-09 -2.5423651E-09 A10 3.8532883E-10 2.1478113E-10 -5.1047309E-10 -5.4291707E-11

[0545] Sn 19 20 KA 1.0000000E+00 1.0000000E+00 A3 0.0000000E+00 0.0000000E+00 A4 -6.3978293E-05 6.4644939E-05 A5 -1.9674417E-06 -3.8899779E-06 A6 5.6872656E-06 5.0727946E-06 A7 -2.3672115E-06 -1.9692539E-06 A8 4.2986856E-07 3.2811766E-07 A9 -3.4871158E-08 -2.3040904E-08 A10 8.9238594E-10 3.7358485E-10

[0546] Sn 24 25 KA 1.0000000E+00 1.0000000E+00 A4 -1.6366329E-05 -2.7188423E-05 A6 4.7216100E-08 3.2477299E-08 A8 -9.0546131E-10 -1.4828345E-10 A10 3.8720083E-12 -7.8497175E-12 A12 -2.1376842E-13 4.6163753E-14 A14 2.0547577E-15 -3.4770064E-16 A16 6.5452010E-19 2.1790013E-18

[0547] [Example 10]

[0548] The structure and movement trajectory of the variable magnification optical system of Example 10 are shown in FIG. Figure 21. The zoom optical system of Example 10 includes, from the object side to the image side, a first lens group G1 having positive refractive power, a second lens group G2 having negative refractive power, a third lens group G3 having positive refractive power, a fourth lens group G4 having positive refractive power, a fifth lens group G5 having negative refractive power, and a sixth lens group G6 having positive refractive power. The intermediate group GM includes the third lens group G3, the fourth lens group G4, and the fifth lens group G5. The final lens group GE includes the sixth lens group G6. When zooming from the wide-angle end to the telephoto end, the above-mentioned six lens groups move along the optical axis Z by changing the intervals with the adjacent lens groups with different movement trajectories. The anti-vibration group includes the fourth lens group G4. The focusing lens group includes the fifth lens group G5, which moves toward the image side when focusing from an object at infinity to an object at close range.

[0549] Regarding the variable magnification optical system of Example 10, basic lens data are shown in Table 28, specifications and variable surface spacing are shown in Table 29, aspheric coefficients are shown in Table 30, and various aberration diagrams are shown in Table 31. Figure 22 .

[0550] [Table 28]

[0551] Example 10

[0552] Sn R D Yes νd ED SG 1 44.9579 0.9999 1.96355 32.33 40.00 5.38 2 33.3330 4.9828 1.49741 81.54 3.55 3 82.7959 0.0451 4 43.9623 4.5000 1.49263 82.27 5 1152.4400 DD[5] 6 32.7437 0.5819 1.82464 46.54 7 10.0927 6.4637 8 -28.3172 0.5099 1.79398 49.67 9 29.3502 2.8717 1.88332 20.83 10 -47.4848 2.3243 *11 -13.7427 0.5188 1.45743 87.63 *12 -37.9204 DD

[12] 13(Wed) ∞ 0.2499 *14 15.5535 4.1000 1.67539 56.15 *15 -41.4854 2.1380 16 16.1557 0.4995 1.98488 23.61 17 8.7186 2.4855 1.43599 86.64 18 21.8079 DD

[18] *19 16.7177 3.5503 1.43600 90.90 3.15 *20 -20.4541 DD

[20] 21 -2174.7260 2.1546 1.93607 20.51 22 -22.0404 0.5097 1.77540 44.63 23 17.0772 DD

[23] 24 -21.0288 0.8349 2.00001 15.00 25 -26.4869 0.2000 26 56.0623 2.2382 1.75142 54.03 27 ∞ DD

[27] 22.665

[0553] [Table 29]

[0554] Example 10

[0555] Goodbye Middle TV Zr 1.0 2.4 4.7 f 16.50 39.02 77.70 Bf 11.02 22.78 39.00 FNo. 3.59 4.61 6.09 2ω[°] 85.4 38.2 20.0 DD[5] 0.09 16.53 29.16 DD

[12] 13.60 3.98 0.90 DD

[18] 3.80 3.46 2.75 DD

[20] 0.49 4.25 3.93 DD

[23] 12.70 8.12 7.68 DD

[27] 11.02 22.78 39.00

[0556] [Table 30]

[0557] Example 10

[0558] Sn 11 12 14 15 KA 1.0000000E+00 1.0000000E+00 1.0000000E+00 1.0000000E+00 A3 0.0000000E+00 0.0000000E+00 0.0000000E+00 0.0000000E+00 A4 -1.5985490E-04 -2.0097712E-04 -6.6714169E-05 -5.8035247E-06 A5 -5.5601724E-06 -2.7640721E-06 3.4838218E-06 1.1120059E-06 A6 3.0006079E-06 3.1105173E-06 -1.5945336E-06 -1.9631413E-06 A7 -1.7184228E-08 -7.7514820E-08 4.3569860E-08 3.3751700E-07 A8 -3.7238018E-08 -3.8431571E-08 2.2865886E-08 -1.4741335E-08 A9 -1.2610375E-09 6.8995537E-10 -1.5349781E-09 -3.0078120E-09 A10 3.6362704E-10 2.3030915E-10 -4.0053096E-10 -2.6961931E-11

[0559] Sn 19 20 KA 1.0000000E+00 1.0000000E+00 A3 0.0000000E+00 0.0000000E+00 A4 -4.0922045E-05 5.3263078E-05 A5 -5.0782463E-06 -6.7723176E-06 A6 5.5545577E-06 4.9800857E-06 A7 -2.3574952E-06 -1.9501258E-06 A8 4.3784681E-07 3.3148889E-07 A9 -3.4631181E-08 -2.2521757E-08 A10 6.9300543E-10 1.5788535E-10

[0560] [Example 11]

[0561] The structure and movement trajectory of the variable magnification optical system of Example 11 are shown in FIG. Figure 23. The zoom optical system of Example 11 includes, from the object side to the image side, a first lens group G1 having positive refractive power, a second lens group G2 having negative refractive power, a third lens group G3 having positive refractive power, a fourth lens group G4 having positive refractive power, a fifth lens group G5 having negative refractive power, and a sixth lens group G6 having negative refractive power. The intermediate group GM includes the third lens group G3, the fourth lens group G4, and the fifth lens group G5. The final lens group GE includes the sixth lens group G6. When zooming from the wide-angle end to the telephoto end, the above-mentioned six lens groups move along the optical axis Z by changing the intervals with the adjacent lens groups with different movement trajectories. The anti-vibration group includes the fourth lens group G4. The focusing lens group includes the fifth lens group G5, which moves toward the image side when focusing from an object at infinity to an object at close range.

[0562] Regarding the variable magnification optical system of Example 11, basic lens data are shown in Table 31, specifications and variable surface spacing are shown in Table 32, aspheric coefficients are shown in Table 33, and various aberration diagrams are shown in Table 34. Figure 24 .

[0563] [Table 31]

[0564] Example 11

[0565] Sn R D Yes νd ED SG 1 44.7294 0.9999 1.92200 36.58 40.00 5.22 2 33.3329 4.7079 1.50868 79.83 3.56 3 74.2507 0.0863 4 42.7193 4.5002 1.49796 81.46 5 644.1687 DD[5] 6 38.8779 0.6257 1.81883 47.13 7 10.7056 6.0395 8 -51.7864 0.4996 1.94988 33.73 9 20.6392 3.6127 1.91229 19.92 10 -69.9647 3.9834 *11 -14.0630 0.4997 1.43599 72.37 *12 -28.6881 DD

[12] 13(Wed) ∞ 0.2501 *14 17.0291 3.5772 1.77296 49.78 *15 -39.1523 4.2273 16 30.8758 0.4993 2.00001 25.70 17 9.9072 3.0306 1.45449 88.08 18 30.8993 DD

[18] *19 16.5492 3.6224 1.45063 78.00 2.96 *20 -19.5580 DD

[20] 21 49.3470 0.4997 1.53988 75.08 22 15.5845 DD

[22] 23 -38.8528 1.7844 1.76161 52.99 24 84.4459 0.2000 25 45.9827 2.2502 1.91362 19.32 26 ∞ DD

[26] 20.874

[0566] [Table 32]

[0567] Example 11

[0568] Goodbye Middle TV Zr 1.0 2.4 4.7 f 16.50 39.02 77.68 Bf 11.00 25.10 36.03 FNo. 3.60 4.96 6.41 2ω[°] 85.0 38.4 20.0 DD[5] 0.09 15.17 28.49 DD

[12] 13.60 4.52 0.90 DD

[18] 3.72 1.79 2.91 DD

[20] 0.49 3.06 2.58 DD

[22] 10.05 6.54 9.76 DD

[26] 11.00 25.10 36.03

[0569] [Table 33]

[0570] Example 11

[0571] Sn 11 12 14 15 KA 1.0000000E+00 1.0000000E+00 1.0000000E+00 1.0000000E+00 A3 0.0000000E+00 0.0000000E+00 0.0000000E+00 0.0000000E+00 A4 -1.6840998E-04 -2.0136786E-04 -6.4854752E-05 -7.1036911E-06 A5 -5.7750595E-06 -3.4474563E-06 2.9735709E-06 1.0028361E-06 A6 3.0231941E-06 2.9306754E-06 -1.6130067E-06 -1.9304512E-06 A7 -2.0466348E-08 -8.3388519E-08 5.1124588E-08 3.3415488E-07 A8 -3.8910999E-08 -3.6086538E-08 2.5259246E-08 -1.6365622E-08 A9 -9.9886747E-10 1.1054580E-09 -2.1011645E-09 -2.7345074E-09 A10 3.8247467E-10 2.0575083E-10 -4.4213319E-10 -9.9549508E-11

[0572] Sn 19 20 KA 1.0000000E+00 1.0000000E+00 A3 0.0000000E+00 0.0000000E+00 A4 -4.9409428E-05 3.5250010E-05 A5 -3.8939162E-06 -4.1476175E-06 A6 5.7179920E-06 5.0846682E-06 A7 -2.3621195E-06 -1.9580567E-06 A8 4.2967336E-07 3.2888842E-07 A9 -3.5164699E-08 -2.3738140E-08 A10 8.8741099E-10 3.9029800E-10

[0573] [Example 12]

[0574] The structure and movement trajectory of the variable magnification optical system of Example 12 are shown in FIG. Figure 25. The zoom optical system of Example 12 includes, from the object side to the image side, a first lens group G1 having positive refractive power, a second lens group G2 having negative refractive power, a third lens group G3 having positive refractive power, a fourth lens group G4 having positive refractive power, a fifth lens group G5 having negative refractive power, and a sixth lens group G6 having negative refractive power. The intermediate group GM includes the third lens group G3, the fourth lens group G4, and the fifth lens group G5. The final lens group GE includes the sixth lens group G6. When zooming from the wide-angle end to the telephoto end, the above-mentioned six lens groups move along the optical axis Z by changing the intervals with the adjacent lens groups with different movement trajectories. The anti-vibration group includes the fourth lens group G4. The focusing lens group includes the fifth lens group G5, which moves toward the image side when focusing from an object at infinity to an object at close range.

[0575] Regarding the variable magnification optical system of Example 12, basic lens data are shown in Table 34, specifications and variable surface spacing are shown in Table 35, aspheric coefficients are shown in Table 36, and various aberration diagrams are shown in Table 37. Figure 26 .

[0576] [Table 34]

[0577] Example 12

[0578] Sn R D Yes νd ED SG 1 43.2614 0.8489 1.96487 32.19 34.00 5.38 2 33.3333 5.6409 1.56317 71.53 3.65 3 6468.0709 DD[3] 4 35.2171 0.6182 1.89172 39.67 5 10.9709 5.7422 6 -66.0667 0.5051 1.86435 42.47 7 20.8856 3.6565 1.86538 21.73 8 -63.9199 3.3612 *9 -15.2738 0.4717 1.49508 63.43 *10 -29.8237 DD

[10] 11(Wed) ∞ 0.2500 *12 16.3577 3.4068 1.70243 54.66 *13 -39.8946 4.5408 14 29.5530 0.4969 1.98034 27.61 15 9.7865 3.9916 1.46630 86.28 16 32.5477 DD

[16] *17 16.6209 3.5927 1.43601 76.85 2.98 *18 -20.5861 DD

[18] 19 52.2787 0.4877 1.52686 77.06 20 15.5721 DD

[20] 21 -35.0064 1.8786 1.76976 52.15 22 68.2393 0.2000 23 54.7409 2.2500 1.98636 23.21 24 -204.8278 DD

[24] 20.396

[0579] [Table 35]

[0580] Example 12

[0581] Goodbye Middle TV Zr 1.0 2.4 4.7 f 16.44 38.89 77.43 Bf 11.18 25.79 35.98 FNo. 4.12 5.71 7.63 2ω[°] 85.6 38.4 20.0 DD[3] 0.18 16.43 30.42 DD

[10] 17.04 5.73 0.87 DD

[16] 4.16 2.88 2.61 DD

[18] 0.42 3.55 4.56 DD

[20] 9.56 6.04 9.79 DD

[24] 11.18 25.79 35.98

[0582] [Table 36]

[0583] Example 12

[0584] Sn 9 10 12 13 KA 1.0000000E+00 1.0000000E+00 1.0000000E+00 1.0000000E+00 A3 0.0000000E+00 0.0000000E+00 0.0000000E+00 0.0000000E+00 A4 -1.6770501E-04 -2.0336755E-04 -6.4003536E-05 -8.7639053E-06 A5 -5.6959626E-06 -3.5106426E-06 2.7787040E-06 1.1008520E-06 A6 3.0321613E-06 2.9285665E-06 -1.6157721E-06 -1.9277847E-06 A7 -2.0036326E-08 -8.3039764E-08 5.1692933E-08 3.3304646E-07 A8 -3.8943278E-08 -3.5791778E-08 2.5315614E-08 -1.6438424E-08 A9 -9.7509632E-10 1.1239612E-09 -2.1187762E-09 -2.7612100E-09 A10 3.9058379E-10 2.0638923E-10 -4.4072868E-10 -1.0001982E-10

[0585] Sn 17 18 KA 1.0000000E+00 1.0000000E+00 A3 0.0000000E+00 0.0000000E+00 A4 -4.9747841E-05 3.1571784E-05 A5 -3.7736424E-06 -4.2869282E-06 A6 5.7255872E-06 5.0768195E-06 A7 -2.3632306E-06 -1.9572634E-06 A8 4.2918810E-07 3.2931433E-07 A9 -3.5138885E-08 -2.3749765E-08 A10 8.9281150E-10 3.8465639E-10

[0586] [Example 13]

[0587] The structure and movement trajectory of the variable magnification optical system of Example 13 are shown in FIG. Figure 27. The zoom optical system of Example 13 includes, from the object side to the image side, a first lens group G1 having positive refractive power, a second lens group G2 having negative refractive power, a third lens group G3 having positive refractive power, a fourth lens group G4 having positive refractive power, a fifth lens group G5 having negative refractive power, and a sixth lens group G6 having negative refractive power. The intermediate group GM includes the third lens group G3, the fourth lens group G4, and the fifth lens group G5. The final lens group GE includes the sixth lens group G6. When zooming from the wide-angle end to the telephoto end, the six lens groups mentioned above move along the optical axis Z while changing the intervals with the adjacent lens groups in different moving trajectories. The anti-vibration group includes the lens closest to the object side of the fourth lens group G4. The focusing lens group includes the fifth lens group G5, which moves toward the image side when focusing from an object at infinity to an object at close range.

[0588] Regarding the variable magnification optical system of Example 13, basic lens data are shown in Table 37, specifications and variable surface spacing are shown in Table 38, aspheric coefficients are shown in Table 39, and various aberration diagrams are shown in Table 39. Figure 28 .

[0589] [Table 37]

[0590] Example 13

[0591] Sn R D Yes νd ED SG 1 133.5670 0.9476 1.97689 30.09 38.00 5.30 2 71.8020 4.3019 1.54435 74.40 3.61 3 -216.7659 0.0542 4 52.8438 2.8781 1.54481 74.33 5 170.7024 DD[5] 6 34.8870 0.5567 2.00001 28.60 7 12.5466 6.5190 8 -21.1607 0.5068 1.69429 56.75 9 14.4339 4.8037 1.85955 22.65 10 -37.3578 1.1105 11 -17.3240 0.4958 1.97753 26.20 12 -27.7685 DD

[12] 13(Wed) ∞ 0.0977 *14 11.4233 2.8880 1.62898 35.42 *15 -121.9364 3.0569 16 -162.8561 0.4882 1.99978 26.84 17 9.9411 3.1184 1.43602 90.89 18 -50.5203 DD

[18] *19 18.0510 2.2143 1.43633 90.85 3.15 *20 -68.8706 2.0442 21 56.4962 0.4951 1.99916 15.04 22 20.3846 3.1341 1.86288 30.23 23 -22.9020 DD

[23] 24 22.4685 1.7043 1.98989 17.04 25 61.0882 0.5088 1.90301 38.52 26 12.0467 DD

[26] 27 -17.1604 0.4961 1.84138 37.38 28 121.0330 0.3630 29 42.4081 2.1431 2.00069 25.50 30 ∞ DD

[30] 18.877

[0592] [Table 38]

[0593] Example 13

[0594] Goodbye Middle TV Zr 1.0 2.4 4.7 f 16.89 39.94 79.53 Bf 11.00 25.54 35.20 FNo. 3.61 5.48 6.82 2ω[°] 85.0 37.8 19.4 DD[5] 0.30 15.61 34.24 DD

[12] 13.81 5.94 2.06 DD

[18] 0.27 0.43 0.43 DD

[23] 0.30 0.28 0.33 DD

[26] 9.43 9.15 9.45 DD

[30] 11.00 25.54 35.20

[0595] [Table 39]

[0596] Example 13

[0597] Sn 14 15 19 20 KA 1.0000000E+00 1.0000000E+00 1.0000000E+00 1.0000000E+00 A4 1.4998692E-05 1.2075224E-04 6.4251120E-05 1.2828373E-04 A6 3.1114307E-07 5.1855396E-07 2.4332316E-06 1.9572700E-06 A8 1.3092437E-07 9.8895613E-08 -2.4146394E-08 4.3936482E-08 A10 -9.8591835E-09 -3.8310514E-09 2.7131878E-09 -9.1147963E-10 A12 4.1750781E-10 -9.3426618E-11 -4.1885565E-11 7.2714451E-11 A14 -6.7428784E-12 1.7165458E-11 4.9776393E-14 -1.1690321E-12 A16 -5.1116477E-15 -5.7478070E-13 2.0867521E-14 4.2543523E-15 A18 1.1729684E-15 6.8175235E-15 -1.6031092E-16 3.2193548E-16 A20 0.0000000E+00 0.0000000E+00 0.0000000E+00 0.0000000E+00

[0598] [Example 14]

[0599] The structure and movement trajectory of the variable magnification optical system of Example 14 are shown in FIG. Figure 29. The zoom optical system of Example 14 includes, from the object side to the image side, a first lens group G1 having positive refractive power, a second lens group G2 having negative refractive power, a third lens group G3 having positive refractive power, a fourth lens group G4 having positive refractive power, a fifth lens group G5 having negative refractive power, a sixth lens group G6 having positive refractive power, and a seventh lens group G7 having positive refractive power. The intermediate group GM includes the third lens group G3, the fourth lens group G4, the fifth lens group G5, and the sixth lens group G6. The final lens group GE includes the seventh lens group G7. When zooming from the wide-angle end to the telephoto end, the seven lens groups mentioned above move along the optical axis Z while changing the intervals with the adjacent lens groups with different movement trajectories. The anti-vibration group includes the fourth lens group G4. The focusing lens group includes the fifth lens group G5, which moves toward the image side when focusing from an object at infinity to an object at close range.

[0600] Regarding the variable magnification optical system of Example 14, basic lens data are shown in Table 40, specifications and variable surface spacing are shown in Table 41, aspheric coefficients are shown in Table 42, and various aberration diagrams are shown in Table 43. Figure 30 .

[0601] [Table 40]

[0602] Example 14

[0603] Sn R D Yes νd ED SG 1 40.3211 1.0000 1.59282 68.60 32.298 3.70 2 39.3148 3.5099 1.56930 42.01 2.47 3 169.4901 DD[3] 4 72.9146 0.7501 1.94335 34.27 5 12.1321 4.1990 6 -91.1946 0.6250 1.87696 41.18 7 22.8569 1.5003 8 21.1781 3.0002 1.88707 20.65 9 248.9003 DD[9] 10 27.6003 2.0482 2.00001 28.60 11 -162.7313 0.0485 12 22.4983 2.9182 1.70215 46.66 13 -21.3349 0.5000 1.93607 29.26 14 20.3808 5.6933 15(Wed) ∞ DD

[15] 16 14.0593 0.4988 1.81576 27.56 17 8.1255 4.0237 1.68846 58.28 3.97 *18 -25.5188 DD

[18] 19 355.7476 0.4999 1.82691 46.31 20 14.0457 DD

[20] *21 -103.2084 1.3476 1.88600 20.70 *22 -54.3072 DD

[22] 23 41.7176 2.3752 1.92879 33.00 24 72.2972 DD

[24] 18.838

[0604] [Table 41]

[0605] Example 14

[0606] Goodbye Middle TV Zr 1.0 2.4 4.0 f 16.69 39.47 66.75 Bf 16.19 33.90 46.79 FNo. 4.12 6.20 7.30 2ω[°] 89.4 40.4 24.6 DD[3] 0.10 12.75 23.00 DD[9] 14.17 2.71 0.17 DD

[15] 2.30 0.13 0.20 DD

[18] 1.20 1.10 0.09 DD

[20] 1.81 3.42 4.99 DD

[22] 9.94 12.46 31.11 DD

[24] 16.19 33.90 46.79

[0607] [Table 42]

[0608] Example 14

[0609] Sn 18 21 22 KA 1.0000000E+00 1.0000000E+00 1.0000000E+00 A4 1.1353581E-04 9.6692588E-05 6.4966316E-05 A6 -1.0671160E-06 -1.7358598E-06 -1.3946563E-06 A8 5.5480841E-08 4.8477074E-08 3.4695684E-08 A10 -3.0737488E-09 -2.1189588E-09 -1.0773911E-09 A12 1.0247447E-10 8.3606739E-11 2.7650354E-11 A14 -1.0238489E-12 -1.6778444E-12 -1.9374096E-13 A16 -3.2329760E-14 1.2938007E-14 -4.9079099E-15 A18 7.1789484E-16 -1.8741931E-17 5.1715910E-17 A20 0.0000000E+00 0.0000000E+00 0.0000000E+00

[0610] [Example 15]

[0611] The structure and movement trajectory of the variable magnification optical system of Example 15 are shown in FIG. Figure 31. The zoom optical system of Example 15 includes, from the object side to the image side, a first lens group G1 having positive refractive power, a second lens group G2 having negative refractive power, a third lens group G3 having positive refractive power, a fourth lens group G4 having positive refractive power, a fifth lens group G5 having positive refractive power, a sixth lens group G6 having negative refractive power, and a seventh lens group G7 having negative refractive power. The intermediate group GM includes the third lens group G3, the fourth lens group G4, the fifth lens group G5, and the sixth lens group G6. The final lens group GE includes the seventh lens group G7. When zooming from the wide-angle end to the telephoto end, the seven lens groups mentioned above move along the optical axis Z while changing the intervals with the adjacent lens groups in different movement trajectories. The anti-vibration group includes the fourth lens group G4. The focusing lens group includes the sixth lens group G6, which moves toward the image side when focusing from an object at infinity to an object at close range.

[0612] Regarding the variable magnification optical system of Example 15, basic lens data are shown in Table 43, specifications and variable surface spacing are shown in Table 44, aspheric coefficients are shown in Table 45, and various aberration diagrams are shown in Table 46. Figure 32 .

[0613] [Table 43]

[0614] Example 15

[0615] Sn R D Yes νd ED SG 1 93.5458 1.1250 1.92000 19.00 36.40 3.50 2 63.5980 2.9770 1.48749 70.24 2.46 3 252.1946 0.0448 4 58.4823 3.2985 1.62830 61.42 5 1031.6507 DD[5] 6 44.3832 0.7498 1.94580 34.14 7 11.4814 4.4717 8 -66.8283 0.7502 1.93978 34.76 9 69.5140 0.0704 10 24.7517 2.9690 1.99473 17.16 11 -70.1181 1.1528 12 -20.5178 0.4997 1.86634 42.27 13 -2075.3423 DD

[13] 14(Wed) ∞ 0.2501 *15 11.9820 2.8762 1.61881 63.85 *16 -34.0737 1.5091 17 -484.9814 0.6001 1.95967 29.11 18 14.3256 DD

[18] 19 19.8695 0.5001 1.90634 38.18 20 12.3784 3.7450 1.53901 47.69 2.48 *21 -23.3140 DD

[21] 22 53.3584 3.5505 1.76188 52.96 23 -13.2220 0.6094 1.97015 22.30 24 -16.3555 DD

[24] 25 35.7765 1.8259 1.99738 28.62 26 -126.9629 0.5098 1.88300 40.76 27 11.9649 DD

[27] 28 -18.1516 0.7502 1.91991 36.79 29 -60.6688 0.1000 30 52.2792 2.0650 1.44292 67.26 31 -204.8839 DD

[31] 18.35

[0616] [Table 44]

[0617] Example 15

[0618] Goodbye Middle TV Zr 1.0 2.1 4.7 f 16.34 34.31 77.13 Bf 10.28 22.30 36.33 FNo. 3.60 4.83 6.55 2ω[°] 87.4 43.0 20.0 DD[5] 1.00 15.53 31.86 DD

[13] 13.63 6.60 1.50 DD

[18] 1.20 1.92 2.56 DD

[21] 1.71 1.36 1.24 DD

[24] 1.51 2.01 2.07 DD

[27] 8.41 6.51 7.52 DD

[31] 10.28 22.30 36.33

[0619] [Table 45]

[0620] Example 15

[0621] Sn 15 16 21 KA 1.0000000E+00 1.0000000E+00 1.0000000E+00 A4 -1.7213070E-05 1.5139913E-04 6.7347893E-05 A6 1.6810195E-06 1.4129080E-06 6.8628039E-07 A8 4.4016648E-08 -4.9229593E-09 -5.0372635E-09 A10 -6.8508999E-09 -1.2636993E-09 -3.5680498E-11 A12 2.6682650E-10 1.6375045E-10 -1.4161378E-11 A14 6.6554512E-12 -1.0258186E-11 1.6099670E-12 A16 -5.5185189E-13 7.5063223E-13 -5.7446965E-14 A18 1.0055299E-14 -2.6674484E-14 8.8273973E-16 A20 -3.4607195E-17 3.5075545E-16 -5.0004753E-18

[0622] [Example 16]

[0623] The structure and movement trajectory of the variable magnification optical system of Example 16 are shown in FIG. Figure 33. The zoom optical system of Example 16 includes, from the object side to the image side, a first lens group G1 with positive refractive power, a second lens group G2 with negative refractive power, a third lens group G3 with positive refractive power, a fourth lens group G4 with positive refractive power, a fifth lens group G5 with positive refractive power, a sixth lens group G6 with negative refractive power, and a seventh lens group G7 with negative refractive power. The intermediate group GM includes the third lens group G3, the fourth lens group G4, the fifth lens group G5, and the sixth lens group G6. The final lens group GE includes the seventh lens group G7. When zooming from the wide-angle end to the telephoto end, the above-mentioned seven lens groups move along the optical axis Z by changing the intervals with the adjacent lens groups with different movement trajectories. The anti-vibration group includes the fourth lens group G4. The focusing lens group includes the sixth lens group G6, which moves toward the image side when focusing from an object at infinity to an object at close range.

[0624] Regarding the variable magnification optical system of Example 16, basic lens data are shown in Table 46, specifications and variable surface spacing are shown in Table 47, aspheric coefficients are shown in Table 48, and various aberration diagrams are shown in Table 49. Figure 34 .

[0625] [Table 46]

[0626] Example 16

[0627]

[0628] [Table 47]

[0629] Example 16

[0630] Goodbye Middle TV Zr 1.0 2.1 4.7 f 16.27 34.17 76.80 Bf 5.76 17.85 33.29 FNo. 3.60 4.84 6.48 2ω[°] 87.2 43.2 20.0 DD[5] 0.99 15.28 31.29 DD

[13] 14.03 6.87 1.49 DD

[18] 1.20 1.78 2.49 DD

[21] 2.03 1.82 1.46 DD

[24] 1.49 1.63 1.55 DD

[27] 12.18 9.97 9.23 DD

[31] 5.76 17.85 33.29

[0631] [Table 48]

[0632] Example 16

[0633] Sn 15 16 21 28 KA 1.0000000E+00 1.0000000E+00 1.0000000E+00 1.0000000E+00 A4 -9.6563418E-06 1.4698217E-04 6.5681690E-05 -3.4194461E-05 A6 7.3007111E-07 9.4280681E-08 6.3507140E-07 3.9770094E-08 A8 2.3237464E-08 6.8453817E-08 -1.8769955E-08 -2.6249819E-10 A10 7.9184850E-10 -2.7164323E-09 1.2712629E-09 1.5025521E-10 A12 -5.9189022E-11 1.4045796E-10 -4.3592831E-11 -2.2826642E-12 A14 9.5572117E-13 -7.8531764E-12 4.8864181E-13 -2.6568578E-14 A16 1.8174952E-13 5.5771787E-13 1.2501539E-14 1.4959030E-16 A18 -8.2501215E-15 -1.8893137E-14 -4.1895969E-16 1.3184233E-17 A20 1.1619738E-16 2.4780225E-16 3.4546373E-18 -1.2428563E-19

[0634] Sn 29 KA 1.0000000E+00 A4 -3.6505153E-05 A6 -1.6795064E-08 A8 5.7519745E-09 A10 -6.4779144E-11 A12 -4.2512222E-13 A14 7.1437626E-15 A16 3.4712053E-17 A18 -5.2834220E-19 A20 5.7437455E-22

[0635] [Example 17]

[0636] The structure and movement trajectory of the variable magnification optical system of Example 17 are shown in FIG. Figure 35 The variable power optical system of Example 17 comprises, in order from the object side to the image side, a first lens group G1 having positive refractive power, a second lens group G2 having negative refractive power, a third lens group G3 having positive refractive power, a fourth lens group G4 having positive refractive power, a fifth lens group G5 having positive refractive power, a sixth lens group G6 having negative refractive power, and a seventh lens group G7 having negative refractive power. The middle lens group GM comprises the third lens group G3, the fourth lens group G4, the fifth lens group G5, and the sixth lens group G6.

[0637] The final lens group GE includes the seventh lens group G7. When zooming from the wide-angle end to the telephoto end, these seven lens groups move along the optical axis Z, following different movement paths while varying the spacing between adjacent lens groups. The anti-vibration group includes the fourth lens group G4. The focusing lens group includes the sixth lens group G6, which moves toward the image side when focusing from an object at infinity to an object at close range.

[0638] Regarding the variable magnification optical system of Example 17, basic lens data are shown in Table 49, specifications and variable surface spacing are shown in Table 50, aspheric coefficients are shown in Table 51, and various aberration diagrams are shown in Table 52. Figure 36 .

[0639] [Table 49]

[0640] Example 17

[0641] Sn R D Yes νd ED SG 1 187.5654 1.2501 1.96146 16.93 40.00 3.83 2 121.8289 3.0100 1.61974 62.75 3.77 3 -602.7968 0.0492 4 70.3451 2.7499 1.51031 79.58 5 323.3656 DD[5] 6 50.9488 0.7501 1.97942 30.70 7 12.6887 4.9067 8 -71.6847 0.7499 1.93120 35.64 9 61.9517 0.0488 10 30.7067 3.4002 1.94493 18.36 11 -44.9780 1.1690 12 -21.2823 0.4997 1.71846 56.80 13 -546.9633 DD

[13] 14(Wed) ∞ 0.2498 *15 12.4825 2.8665 1.60578 41.74 *16 -41.9177 1.4784 17 -308.5332 0.6000 1.92480 27.95 18 14.8517 DD

[18] 19 20.3432 0.5776 1.78754 47.64 20 12.5265 3.5862 1.52450 66.99 2.92 *21 -26.5441 DD

[21] 22 61.3690 3.4047 1.76239 52.91 23 -13.6797 0.6578 1.95512 17.24 24 -17.3624 DD

[24] 25 44.9341 1.8182 1.99834 15.30 26 -79.7413 0.5098 1.89883 26.90 27 13.2079 DD

[27] 28 -21.2641 0.7498 1.77410 51.71 29 -80.8941 0.1000 30 53.8178 2.0002 1.64284 60.52 31 -1160.2235 DD

[31] 19.643

[0642] [Table 50]

[0643] Example 17

[0644] Goodbye Middle TV Zr 1.0 2.1 4.7 f 16.55 34.75 78.12 Bf 11.05 25.64 43.79 FNo. 3.60 4.90 6.58 2ω[°] 87.0 43.0 19.8 DD[5] 1.00 18.04 40.01 DD

[13] 15.64 7.27 1.50 DD

[18] 1.27 2.26 3.37 DD

[21] 2.13 1.68 1.38 DD

[24] 1.98 1.86 1.50 DD

[27] 9.41 7.76 8.39 DD

[31] 11.05 25.64 43.79

[0645] [Table 51]

[0646] Example 17

[0647] Sn 15 16 21 KA 1.0000000E+00 1.0000000E+00 1.0000000E+00 A4 2.9920408E-06 1.2831914E-04 7.0356418E-05 A6 5.8910335E-07 -1.1785356E-07 5.4766410E-07 A8 4.3642720E-08 1.0080086E-07 -9.8198316E-09 A10 3.7932733E-10 -3.0090674E-09 4.8193219E-10 A12 -1.0584732E-10 1.0955704E-10 -1.7241375E-11 A14 2.8906333E-12 -1.1224139E-11 3.4369826E-13 A16 1.7200216E-13 8.4353005E-13 -2.7250043E-15 A18 -8.5387059E-15 -2.5384178E-14 0.0000000E+00 A20 1.1006258E-16 2.8167917E-16 0.0000000E+00

[0648] [Example 18]

[0649] The structure and movement trajectory of the variable magnification optical system of Example 18 are shown in FIG. Figure 37 . The zoom optical system of Example 18 includes, from the object side to the image side, a first lens group G1 having positive refractive power, a second lens group G2 having negative refractive power, a third lens group G3 having positive refractive power, a fourth lens group G4 having negative refractive power, a fifth lens group G5 having positive refractive power, a sixth lens group G6 having negative refractive power, and a seventh lens group G7 having positive refractive power. The intermediate group GM includes the third lens group G3, the fourth lens group G4, the fifth lens group G5, and the sixth lens group G6. The final lens group GE includes the seventh lens group G7. When zooming from the wide-angle end to the telephoto end, the above-mentioned seven lens groups move along the optical axis Z by changing the intervals with the adjacent lens groups with different movement trajectories. The anti-vibration group includes the fifth lens group G5. The focusing lens group includes the sixth lens group G6, which moves toward the image side when focusing from an object at infinity to an object at close range.

[0650] Regarding the variable magnification optical system of Example 18, basic lens data are shown in Table 52, specifications and variable surface spacing are shown in Table 53, aspheric coefficients are shown in Table 54, and various aberration diagrams are shown in Table 55. Figure 38 .

[0651] [Table 52]

[0652] Example 18

[0653]

[0654] [Table 53]

[0655] Example 18

[0656] Goodbye Middle TV Zr 1.0 2.7 4.7 f 16.48 43.88 77.80 Bf 12.90 28.08 37.03 FNo. 3.59 5.57 6.45 2ω[°] 89.2 35.6 20.2 DD[5] 0.20 11.02 25.35 DD

[13] 16.06 4.69 1.70 DD

[19] 0.80 1.95 2.96 DD

[21] 3.46 2.13 1.30 DD

[23] 2.05 1.92 0.60 DD

[26] 7.39 11.11 11.14 DD

[30] 12.90 28.08 37.03

[0657] [Table 54]

[0658] Example 18

[0659] Sn 15 16 22 23 KA 1.0000000E+00 1.0000000E+00 1.0000000E+00 1.0000000E+00 A4 1.4090512E-04 2.5471160E-04 -8.7415201E-06 6.5758318E-05 A6 7.8973357E-07 2.0560609E-06 5.8224735E-07 3.7420194E-07 A8 6.8049440E-08 3.9389054E-08 6.0353398E-08 6.5455917E-08 A10 -1.4755165E-09 4.3800419E-11 -6.8564501E-10 -2.9832030E-10 A12 -5.2798156E-13 -2.1462941E-11 6.0408566E-11 3.9043048E-11 A14 2.3160035E-13 -8.9521802E-14 -2.3434172E-12 -1.9948235E-12 A16 -1.4151797E-15 5.2752943E-15 4.2985799E-14 4.7627894E-14

[0660] Sn 27 28 KA 1.0000000E+00 1.0000000E+00 A4 -2.0427306E-06 -1.5144538E-06 A6 8.8760565E-09 -3.1734004E-08 A8 -3.6882543E-10 1-0972962E-10 A10 -7.2677492E-12 -1.0252865E-12 A12 -8.0605612E-15 -9.7513660E-14 A14 1.4365232E-16 -1.1377262E-15 A16 -2.4288603E-17 7.5740996E-18

[0661] [Example 19]

[0662] The structure and movement trajectory of the variable magnification optical system of Example 19 are shown in FIG. Figure 39 . The zoom optical system of Example 19 includes, from the object side to the image side, a first lens group G1 with positive refractive power, a second lens group G2 with negative refractive power, a third lens group G3 with positive refractive power, a fourth lens group G4 with positive refractive power, a fifth lens group G5 with positive refractive power, a sixth lens group G6 with negative refractive power, and a seventh lens group G7 with positive refractive power. The intermediate group GM includes the third lens group G3, the fourth lens group G4, the fifth lens group G5, and the sixth lens group G6. The final lens group GE includes the seventh lens group G7. When zooming from the wide-angle end to the telephoto end, the above-mentioned seven lens groups move along the optical axis Z by changing the intervals with the adjacent lens groups with different movement trajectories. The anti-vibration group includes the fourth lens group G4. The focusing lens group includes the sixth lens group G6, which moves toward the image side when focusing from an object at infinity to an object at close range.

[0663] Regarding the variable magnification optical system of Example 19, basic lens data are shown in Table 55, specifications and variable surface spacing are shown in Table 56, aspheric coefficients are shown in Table 57, and various aberration diagrams are shown in Table 58. Figure 40 .

[0664] [Table 55]

[0665] Example 19

[0666] Sn R D Yes νd ED SG 1 82.8543 1.2501 1.96295 16.85 40.00 3.87 2 64.4811 3.0101 1.71741 56.85 4.05 3 169.2211 0.0442 4 42.1252 3.9348 1.54832 73.79 5 170.1996 DD[5] 6 52.3004 0.7498 1.85055 43.89 7 9.7755 6.3987 8 -25.4767 0.7500 1.94259 34.47 9 55.7309 0.0867 10 29.8367 3.9163 1.92730 22.96 11 -25.2078 0.8225 12 -16.8110 0.4999 1.86519 34.12 13 -27.2706 DD

[13] 14(Wed) ∞ 0.2503 *15 13.4259 3.1282 1.65662 33.10 *16 -54.2571 0.0480 17 -305.8677 0.5998 1.84201 44.76 18 14.9828 DD

[18] 19 18.5723 0.5001 1.94164 18.51 20 12.7453 3.8261 1.54885 73.71 3.62 *21 -21.8137 DD

[21] 22 -420.7509 3.0040 1.74734 54.45 23 -12.5766 0.5751 1.98753 15.62 24 -17.4131 DD

[24] 25 393.7668 2.7467 2.00000 20.38 26 -15.1127 0.6757 1.92915 34.19 27 14.5682 DD

[27] 28 -68.0139 0.7498 1.43615 90.87 29 95.4264 0.1000 30 24.5882 3.3805 1.46394 66.60 31 ∞ DD

[31] 20.533

[0667] [Table 56]

[0668] Example 19

[0669] Goodbye Middle TV Zr 1.0 2.1 1.7 f 15.88 33.36 74.97 Bf 12.40 26.95 40.93 FNo. 3.60 5.21 6.35 2ω[°] 89.2 46.2 21.0 DD[5] 0.99 7.27 29.68 DD

[13] 15.00 4.76 1.52 DD

[18] 1.27 1.24 1.32 DD

[21] 3.43 2.30 1.71 DD

[24] 3.33 3.00 1.50 DD

[27] 5.21 7.21 7.42 DD

[31] 12.40 26.95 40.93

[0670] [Table 57]

[0671] Example 19

[0672] Sn 15 16 21 KA 1.0000000E+00 1.0000000E4+00 1.0000000E+00 A4 4.3931328E-05 1.6167722E-04 3.7070427E-05 A6 8.2931270E-07 -3.8683750E-08 3.3335377E-07 A8 6.1630471E-08 1.5570662E-07 -9.3426327E-09 A10 1.0906064E-09 -3.6595348E-09 6.7774240E-10 A12 -1.2942679E-10 1.0674455E-10 -4.0981169E-11 A14 2.8708419E-12 -9.1405877E-12 1.0344912E-12 A16 1.6632962E-13 7.2893510E-13 -9.1444458E-15 A18 -7.6096797E-15 -2.2409489E-14 0.0000000E+00 A20 8.9469248E-17 2.4989701E-16 0.0000000E+00

[0673] [Example 20]

[0674] The structure and movement trajectory of the variable magnification optical system of Example 20 are shown in FIG. Figure 41 . The zoom optical system of Example 20 includes, from the object side to the image side, a first lens group G1 having positive refractive power, a second lens group G2 having negative refractive power, a third lens group G3 having positive refractive power, a fourth lens group G4 having negative refractive power, a fifth lens group G5 having positive refractive power, a sixth lens group G6 having negative refractive power, and a seventh lens group G7 having negative refractive power. The intermediate group GM includes the third lens group G3, the fourth lens group G4, the fifth lens group G5, and the sixth lens group G6. The final lens group GE includes the seventh lens group G7. When zooming from the wide-angle end to the telephoto end, the seven lens groups mentioned above move along the optical axis Z while changing the intervals with the adjacent lens groups in different movement trajectories. The anti-vibration group includes the fifth lens group G5. The focusing lens group includes the sixth lens group G6, which moves toward the image side when focusing from an object at infinity to an object at close range.

[0675] Regarding the variable magnification optical system of Example 20, basic lens data are shown in Table 58, specifications and variable surface spacing are shown in Table 59, aspheric coefficients are shown in Table 60, and various aberration diagrams are shown in Table 61. Figure 42 .

[0676] [Table 58]

[0677] Example 20

[0678]

[0679] [Table 59]

[0680] Example 20

[0681] Goodbye Middle TV Zr 1.0 2.7 4.7 f 16.48 43.87 77.78 Bf 11.40 28.85 37.03 FNo. 3.59 5.27 6.33 2ω[°] 89.2 35.6 20.4 DD[5] 0.20 17.87 25.44 DD

[13] 15.97 4.07 1.70 DD

[19] 0.80 2.00 2.61 DD

[21] 3.11 2.36 1.30 DD

[23] 1.25 1.23 0.53 DD

[26] 10.47 10.51 10.48 DD

[30] 11.40 28.85 37.03

[0682] [Table 60]

[0683] Example 20

[0684] Sn 15 16 22 23 KA 1.0000000E+00 1.0000000E+00 1.0000000E+00 1.0000000E+00 A4 9.8053258E-05 2.2994523E-04 -2.0075025E-05 4.3031894E-05 A6 1.0842912E-06 2.2778894E-06 6.5435826E-07 7.6211609E-07 A8 3.8794600E-08 4.9220305E-08 3.6812162E-08 4.3578874E-08 A10 2.2199020E-09 -5.1050943E-11 -6.8343036E-10 -2.3493250E-09 A12 -1.8829006E-10 -5.2347472E-11 4.5958770E-11 1.3580424E-10 A14 4.3973685E-12 1.0207273E-12 -1.4175832E-12 -3.3959052E-12 A16 -3.5489579E-14 -5.4887628E-15 2.7622060E-14 4.6697998E-14

[0685] Sn 27 28 KA 1.0000000E+00 1.0000000E+00 A4 -1.8719691E-05 -2.7388770E-05 A6 -2.2914054E-08 -3.3233893E-08 A8 1.2529642E-09 5.2965218E-10 A10 -2.8025362E-11 -8.1360959E-13 A12 -2.7824530E-14 -1.7025909E-13 A14 1.3607818E-15 -1.1199301E-15 A16 -4.4593483E-17 7.3219396E-18

[0686] [Example 21]

[0687] The structure and movement trajectory of the variable magnification optical system of Example 21 are shown in FIG. Figure 43 . The zoom optical system of Example 21 includes, from the object side to the image side, a first lens group G1 having positive refractive power, a second lens group G2 having negative refractive power, a third lens group G3 having positive refractive power, a fourth lens group G4 having negative refractive power, a fifth lens group G5 having positive refractive power, a sixth lens group G6 having negative refractive power, and a seventh lens group G7 having negative refractive power. The intermediate group GM includes the third lens group G3, the fourth lens group G4, the fifth lens group G5, and the sixth lens group G6. The final lens group GE includes the seventh lens group G7. When zooming from the wide-angle end to the telephoto end, the seven lens groups mentioned above move along the optical axis Z while changing the intervals with the adjacent lens groups in different movement trajectories. The anti-vibration group includes the fifth lens group G5. The focusing lens group includes the sixth lens group G6, which moves toward the image side when focusing from an object at infinity to an object at close range.

[0688] Regarding the variable magnification optical system of Example 21, basic lens data are shown in Table 61, specifications and variable surface spacing are shown in Table 62, aspheric coefficients are shown in Table 63, and various aberration diagrams are shown in Table 64. Figure 44 .

[0689] [Table 61]

[0690] Example 21

[0691] Sn R D Yes νd ED SG 1 43.5455 0.9990 1.96283 16.86 36.454 3.87 2 30.7129 4.0574 1.53615 72.45 3.40 3 63.8189 0.0486 4 43.6738 3.4895 1.92999 35.76 5 161.2041 DD[5] 6 59.6117 0.7498 1.95745 32.95 7 11.6065 5.2076 8 -37.3462 0.6751 1.95974 32.72 9 34.3701 0.0467 10 27.8531 4.0022 1.92655 18.67 11 -27.7699 1.0277 12 -18.6950 0.6001 1.88060 40.81 13 -42.5444 DD

[13] 14(Wed) ∞ 0.2501 *15 20.8182 2.0001 1.43600 90.90 *16 293.1967 1.8225 17 20.5249 0.6181 1.81167 28.57 18 12.5026 5.6918 1.51465 59.18 19 -14.4407 DD

[19] 20 -45.2385 0.4982 1.52271 50.74 21 15.2676 DD

[21] *22 16.7393 2.9720 1.52995 76.59 3.59 *23 -43.7069 DD

[23] 24 33.1762 1.5002 1.97867 30.78 25 73.2769 0.6601 1.93093 34.16 26 14.9336 DD

[26] 27 -68.5120 0.6197 1.79613 49.45 28 90.6467 0.0502 29 24.9224 3.6550 1.44456 65.40 30 ∞ DD

[30] 21.817

[0692] [Table 62]

[0693] Example 21

[0694] Goodbye Middle TV Zr 1.0 3.0 5.8 f 16.50 49.51 96.54 Bf 11.99 36.83 40.85 FNo. 3.60 6.09 6.49 2ω[°] 90.4 32.0 16.4 DD[5] 0.19 10.82 26.22 DD

[13] 19.01 6.60 2.10 DD

[19] 0.79 2.45 4.51 DD

[21] 5.01 3.68 1.29 DD

[23] 4.14 2.09 0.59 DD

[26] 8.63 9.46 7.64 DD

[30] 11.99 36.83 40.85

[0695] [Table 63]

[0696] Example 21

[0697] Sn 15 16 22 23 KA 1.0000000E+00 1.0000000E+00 1.0000000E+00 1.0000000E+00 A4 2.6363196E-06 1.1702401E-04 -2.0650814E-05 2.0912634E-05 A6 -1.2609196E-06 -3.9539917E-07 2.1333243E-07 6.6195590E-07 A8 5.8545021E-08 2.6283008E-08 2.4851681E-08 -1.0384288E-08 A10 -1.6768347E-09 1.2636581E-10 -1.8912516E-09 -6.2427525E-10 A12 -1.9740547E-11 -6.8899468E-11 8.3333385E-11 6.6238505E-11 A14 9.0052899E-13 1.5351102E-12 -1.6564024E-12 -1.7058174E-12 A16 -8.4503217E-15 -1.1098755E-14 1.3685509E-14 1.6132345E-14

[0698] [Example 22]

[0699] The structure and movement trajectory of the variable magnification optical system of Example 22 are shown in FIG. Figure 45The variable power optical system of Example 22 comprises, in order from the object side to the image side, a first lens group G1 with positive refractive power, a second lens group G2 with negative refractive power, a third lens group G3 with positive refractive power, a fourth lens group G4 with negative refractive power, a fifth lens group G5 with positive refractive power, a sixth lens group G6 with negative refractive power, and a seventh lens group G7 with negative refractive power. The intermediate lens group GM comprises the third lens group G3, the fourth lens group G4, the fifth lens group G5, and the sixth lens group G6. The final lens group GE comprises the seventh lens group G7. When zooming from the wide-angle end to the telephoto end, the third lens group G3, the fifth lens group G5, and the seventh lens group G7 move along the optical axis Z along the same trajectory. The first lens group G1, the second lens group G2, the third lens group G3, the fourth lens group G4, and the sixth lens group G6 move along the optical axis Z along different trajectories, varying the spacing between them and the adjacent lens groups. The anti-vibration group includes the fifth lens group G5. The focus lens group includes the sixth lens group G6, which moves toward the image side when focusing from an object at infinity to an object at close range.

[0700] Regarding the variable magnification optical system of Example 22, basic lens data are shown in Table 64, specifications and variable surface spacing are shown in Table 65, aspheric coefficients are shown in Table 66, and various aberration diagrams are shown in Table 67. Figure 46 .

[0701] [Table 64]

[0702] Example 22

[0703]

[0704] [Table 65]

[0705] Example 22

[0706] Goodbye Middle TV Zr 1.0 2.7 4.7 f 16.48 43.88 77.79 Bf 11.78 25.04 36.46 FNo. 3.60 5.02 6.56 2ω[°] 89.2 35.6 20.4 DD[5] 0.20 17.74 24.27 DD

[13] 14.68 5.77 1.70 DD

[19] 0.80 1.86 3.13 DD

[21] 3.63 2.56 1.30 DD

[23] 1.25 1.01 0.84 DD

[25] 11.73 11.97 12.14 DD

[29] 11.78 25.04 36.46

[0707] [Table 66]

[0708] Example 22

[0709] Sn 15 16 22 23 KA 1.0000000E+00 1.0000000E+00 1.0000000E+00 1.0000000E+00 A4 9.9548012E-05 2.5391925E-04 -3.4398744E-05 3.0324734E-05 A6 8.9059584E-07 2.1621440E-06 4.3440896E-07 4.7648539E-07 A8 6.3470299E-08 6.0349953E-08 1.7540860E-08 1.2139385E-08 A10 -8.7640336E-11 -1.0693169E-10 -8.4271527E-10 -1.0221849E-09 A12 -1.1575259E-10 -1.0800520E-10 7.9525416E-11 1.0578515E-10 A14 3.3814399E-12 3.2154886E-12 -2.6434870E-12 -3.4253124E-12 A16 -3.2623864E-14 -3.3184535E-14 3.7145980E-14 4.6190579E-14

[0710] Sn 26 27 KA 1.0000000E+00 1.0000000E+00 A4 -4.0253485E-06 -1.4468301E-05 A6 -2.8475465E-08 -7.9965125E-08 A8 -7.6099345E-11 3.4799038E-10 A10 -1.2448489E-11 -1.0779906E-13 A12 2.6111746E-14 -7.8979813E-14 A14 4.8431992E-16 -4.4471437E-16 A16 -1.8103737E-17 4.1718725E-18

[0711] [Example 23]

[0712] The structure and movement trajectory of the variable magnification optical system of Example 23 are shown in FIG. Figure 47. The zoom optical system of Example 23 includes, from the object side to the image side, a first lens group G1 with positive refractive power, a second lens group G2 with negative refractive power, a third lens group G3 with positive refractive power, a fourth lens group G4 with positive refractive power, a fifth lens group G5 with positive refractive power, a sixth lens group G6 with negative refractive power, and a seventh lens group G7 with positive refractive power. The intermediate group GM includes the third lens group G3, the fourth lens group G4, the fifth lens group G5, and the sixth lens group G6. The final lens group GE includes the seventh lens group G7. When zooming from the wide-angle end to the telephoto end, the third lens group G3, the fifth lens group G5, and the seventh lens group G7 move along the optical axis Z along the same movement trajectory, and the first lens group G1, the second lens group G2, the third lens group G3, the fourth lens group G4, and the sixth lens group G6 move along the optical axis Z along different movement trajectories while changing the intervals with the adjacent lens groups. The anti-vibration group includes the fourth lens group G4. The focusing lens group includes the sixth lens group G6, which moves toward the image side when focusing from an object at infinity to an object at close distance.

[0713] Regarding the variable magnification optical system of Example 23, basic lens data are shown in Table 67, specifications and variable surface spacing are shown in Table 68, aspheric coefficients are shown in Table 69, and various aberration diagrams are shown in Table 61. Figure 48 .

[0714] [Table 67]

[0715] Example 23

[0716] Sn R D Yes νd ED SG 1 81.2644 1.2499 1.96420 16.79 40.00 3.91 2 63.1890 3.0849 1.48749 70.32 2.45 3 178.8183 0.0430 4 39.6875 4.5248 1.59459 66.69 5 198.4956 DD[5] 6 60.9712 0.7498 1.87173 41.72 7 10.5852 6.0461 8 -27.4948 0.7498 1.97135 31.45 9 54.8777 0.0384 10 31.5014 4.1520 1.91962 21.93 11 -23.3709 0.7513 12 -17.1432 0.4997 1.87640 39.95 13 -29.6058 DD

[13] 14(Wed) ∞ 0.2500 *15 13.3726 2.8053 1.65816 34.18 *16 -55.2347 0.5897 17 -313.1551 1.1308 1.83907 29.17 18 14.9033 DD

[18] 19 18.7107 0.5001 1.94513 20.80 20 12.7184 4.0032 1.54857 73.75 3.62 *21 -21.3620 DD

[21] 22 -349.6613 2.9960 1.74835 51.54 23 -12.5305 0.5750 1.99348 29.27 24 -17.4813 DD

[24] 25 334.8704 2.0071 1.99874 24.79 26 -23.0198 0.5099 1.83481 42.74 27 13.8655 DD

[27] *28 -42.9929 0.7965 1.53409 55.87 *29 82.1838 0.1000 30 26.5504 3.2192 1.45971 66.73 31 -250.0225 DD

[31] 19.727

[0717] [Table 68]

[0718] Example 23

[0719] Goodbye Middle TV Zr 1.0 2.1 4.7 f 16.26 34.15 76.76 Bf 11.95 26.65 42.82 FNo. 3.60 5.11 6.65 2ω[°] 88.2 44.8 20.4 DD[5] 0.99 7.74 26.88 DD

[13] 15.86 5.11 1.50 DD

[18] 1.20 1.75 2.07 DD

[21] 2.05 1.49 1.18 DD

[24] 3.49 3.12 1.50 DD

[27] 5.77 6.14 7.76 DD

[31] 11.95 26.65 42.82

[0720] [Table 69]

[0721] Example 23

[0722] Sn 15 16 21 28 KA 1.0000000E+00 1.0000000E+00 1.0000000E+00 1.0000000E+00 A4 4.7163028E-05 1.6234724E-04 4.4037332E-05 -1.3451581E-05 A6 7.9290126E-07 1.0559759E-07 1.9156929E-07 -1.2050066E-07 A8 6.3340993E-08 1.5545831E-07 -1.6370867E-08 -1.0319052E-12 A10 1.3178645E-09 -3.7961938E-09 1.1277946E-09 -7.1459461E-11 A12 -1.3597730E-10 9.0150329E-11 -4.3166891E-11 -1.8670230E-12 A14 2.3114633E-12 -8.0582172E-12 7.8900149E-13 5.7953222E-14 A16 2.1083793E-13 7.3058793E-13 -5.4745850E-15 1.3937177E-16 A18 -8.2039340E-15 -2.3011450E-14 0.0000000E+00 -1.5669585E-17 A20 9.1102327E-17 2.6328326E-16 0.0000000E+00 1.2503115E-19

[0723] Sn 29 KA 1.0000000E+00 A4 -1.2789492E-05 A6 1.4143377E-09 A8 -1.8176168E-09 A10 -7.0511642E-11 A12 1.3571808E-12 A14 4.4644818E-16 A16 -5.0194596E-17 A18 -2.5007591E-18 A20 2.4988187E-20

[0724] [Example 24]

[0725] The structure and movement trajectory of the variable magnification optical system of Example 24 are shown in FIG. Figure 49The variable power optical system of Example 24 comprises, in order from the object side to the image side, a first lens group G1 having positive refractive power, a second lens group G2 having negative refractive power, a third lens group G3 having positive refractive power, a fourth lens group G4 having negative refractive power, a fifth lens group G5 having positive refractive power, a sixth lens group G6 having negative refractive power, and a seventh lens group G7 having negative refractive power. The middle lens group GM comprises the third lens group G3, the fourth lens group G4, the fifth lens group G5, and the sixth lens group G6.

[0726] The final lens group GE includes the seventh lens group G7. When zooming from the wide-angle end to the telephoto end, the third lens group G3, the fifth lens group G5, and the seventh lens group G7 move along the optical axis Z along the same trajectory. The first lens group G1, the second lens group G2, the third lens group G3, the fourth lens group G4, and the sixth lens group G6 move along the optical axis Z along different trajectories, varying the spacing between them and the adjacent lens groups. The anti-vibration group includes the fifth lens group G5. The focusing lens group includes the sixth lens group G6, which moves toward the image side when focusing from an object at infinity to an object at close range.

[0727] Regarding the variable magnification optical system of Example 24, basic lens data are shown in Table 70, specifications and variable surface spacing are shown in Table 71, aspheric coefficients are shown in Table 72, and various aberration diagrams are shown in Table 73. Figure 50 .

[0728] [Table 70]

[0729] Example 24

[0730]

[0731] [Table 71]

[0732] Example 24

[0733] Goodbye Middle TV Zr 1.0 2.7 4.7 f 16.50 43.94 77.90 Bf 3.45 3.45 3.45 FNo. 4.11 6.04 7.56 2ω[°] 88.8 34.8 20.0 DD[3] 0.09 18.26 28.05 DD

[11] 13.53 5.01 1.61 DD

[17] 0.70 1.91 3.31 DD

[19] 3.87 2.68 1.26 DD

[21] 1.47 1.48 1.14 DD

[23] 9.13 9.12 9.46 DD

[27] 11.45 25.65 35.27

[0734] [Table 72]

[0735] Example 24

[0736] Sn 13 14 20 21 KA 1.0000000E+00 1.0000000E+00 1.0000000E+00 1.0000000E+00 A4 6.8288731E-05 2.3246707E-04 -3.6826962E-05 3.2817475E-05 A6 2.7296183E-07 1.6697071E-06 3.8750933E-08 -1.1073723E-06 A8 1.1128033E-09 -1.6198991E-08 -3.8315282E-10 7.4437364E-08 A10 1.1290782E-09 1.2096898E-09 5.7157871E-10 -3.0141926E-09 A12 -1.1527862E-10 -6.1912528E-11 8.0484116E-12 1.3223828E-10 A14 3.0966735E-12 7.5395677E-13 -6.9051125E-13 -3.2471741E-12 A16 -2.9102881E-14 -5.2916146E-16 1.0501480E-14 3.2983066E-14

[0737] Sn 22 23 KA 1.0000000E+00 1.0000000E+00 A4 4.4489088E-05 3.7536988E-05 A6 -1.1905810E-06 -8.0000969E-07 A8 1.1112207E-08 1.1345756E-08 A10 1.2128604E-09 1.1691984E-10 A12 -4.6948133E-11 -1.3063805E-11 A14 4.4553124E-13 1.6404714E-13 A16 2.5767893E-15 2.5215323E-15

[0738] [Example 25]

[0739] The structure and movement trajectory of the variable magnification optical system of Example 25 are shown in FIG. Figure 51The variable power optical system of Example 25 comprises, in order from the object side to the image side, a first lens group G1 having positive refractive power, a second lens group G2 having negative refractive power, a third lens group G3 having positive refractive power, a fourth lens group G4 having negative refractive power, a fifth lens group G5 having positive refractive power, a sixth lens group G6 having negative refractive power, a seventh lens group G7 having negative refractive power, and an eighth lens group G8 having positive refractive power. The intermediate lens group GM comprises the third lens group G3, the fourth lens group G4, the fifth lens group G5, the sixth lens group G6, and the seventh lens group G7. The final lens group GE comprises the eighth lens group G8. When changing the magnification from the wide-angle end to the telephoto end, the 3rd lens group G3, the 5th lens group G5 and the 7th lens group G7 move along the optical axis Z with the same movement trajectory, and the 1st lens group G1, the 2nd lens group G2, the 3rd lens group G3, the 4th lens group G4, the 6th lens group G6 and the 8th lens group G8 move along the optical axis Z with different movement trajectories while changing the intervals with adjacent lens groups.

[0740] The anti-vibration group includes the fifth lens group G5. The focusing lens group includes the sixth lens group G6, which moves toward the image side when focusing from an object at infinity to an object at close distance.

[0741] Regarding the variable magnification optical system of Example 25, the basic lens data is shown in Table 73, the specifications and variable surface spacing are shown in Table 74, the aspheric coefficients are shown in Table 75, and the various aberration diagrams are shown in Table 76. Figure 52 .

[0742] [Table 73]

[0743] Example 25

[0744]

[0745] [Table 74]

[0746] Example 25

[0747] Goodbye Middle TV Zr 1.0 2.1 4.7 f 17.09 35.90 80.68 Bf 11.72 11.97 25.14 FNo. 3.60 5.56 6.48 2ω[°] 85.4 41.8 19.6 DD[5] 0.10 6.69 21.97 DD

[13] 15.41 3.82 2.10 DD

[18] 3.00 2.58 0.69 DD

[21] 0.75 1.17 3.06 DD

[24] 1.08 4.34 0.29 DD

[27] 8.03 4.77 8.82 DD

[29] 0.31 10.41 15.45 DD

[31] 11.72 11.97 25.14

[0748] [Table 75]

[0749] Example 25

[0750] Sn 15 16 28 29 KA 1.0000000E+00 1.0000000E+00 1.0000000E+00 1.0000000E+00 A4 -3.0862544E-05 3.5432939E-05 -7.9512221E-05 -8.9979434E-05 A6 -3.3504037E-07 -3.7613126E-07 4.4842622E-08 2.1964566E-07 A8 2.5734080E-09 -1.3783142E-09 1.6057276E-09 -2.4601445E-09 A10 -2.0660072E-10 -1.3519127E-10 -9.8850230E-11 -2.6801668E-11

[0751] [Example 26]

[0752] The structure and movement trajectory of the variable magnification optical system of Example 26 are shown in FIG. Figure 53The zoom optical system of Example 26 includes, from the object side to the image side, a first lens group G1 having positive refractive power, a second lens group G2 having negative refractive power, a third lens group G3 having positive refractive power, a fourth lens group G4 having positive refractive power, a fifth lens group G5 having positive refractive power, a sixth lens group G6 having negative refractive power, a seventh lens group G7 having negative refractive power, and an eighth lens group G8 having positive refractive power. The intermediate group GM includes the third lens group G3, the fourth lens group G4, the fifth lens group G5, the sixth lens group G6, and the seventh lens group G7. The final lens group GE includes the eighth lens group G8. When zooming from the wide-angle end to the telephoto end, the above-mentioned eight lens groups move along the optical axis Z by changing the intervals with the adjacent lens groups with different movement trajectories. The anti-vibration group includes the fifth lens group G5. The focusing lens group includes the sixth lens group G6, which moves toward the image side when focusing from an object at infinity to an object at a close distance.

[0753] Regarding the variable magnification optical system of Example 26, the basic lens data is shown in Table 76, the specifications and variable surface spacing are shown in Table 77, the aspheric coefficients are shown in Table 78, and the various aberration diagrams are shown in Table 79. Figure 54 .

[0754] [Table 76]

[0755] Example 26

[0756] Sn R D Yes νd ED SG 1 110.5158 0.9476 1.97465 16.32 37.2850 4.70 2 83.0029 3.2278 1.57357 69.95 3.67 3 574.5598 0.1000 4 56.6719 2.6378 1.53829 75.32 5 231.6890 DD[5] 6 57.4045 0.5713 1.81571 47.45 7 12.4399 4.6801 8 -47.5905 0.7502 1.68995 58.21 9 30.2587 0.0748 10 20.3568 3.0069 1.85112 22.44 11 -157.6479 2.1251 12 -18.1193 0.7498 1.76708 52.43 13 -67.3428 DD

[13] 14(Wed) ∞ 0.0000 *15 15.1892 3.5180 1.55966 72.06 *16 -57.2926 2.7502 17 115.7506 0.8001 1.43600 82.51 18 28.3264 DD

[18] 19 24.4672 0.8000 2.00001 28.03 20 11.6099 3.0602 1.51158 64.62 21 -37.0761 DD

[21] 22 27.4357 3.8347 1.80184 48.87 4.44 23 -15.1182 0.4996 2.00001 28.52 24 -42.0442 DD

[24] 25 118.9909 3.3776 1.89256 20.64 26 -13.2371 0.5093 1.85138 32.15 27 15.0304 DD

[27] *28 -17.4479 0.4925 1.71108 50.33 *29 -27.9601 DD

[29] 30 134.7553 2.2327 1.61313 43.42 31 -64.6392 DD

[31] 22

[0757] [Table 77]

[0758] Example 26

[0759] Wide Middle Tele Zr 1.0 2.1 4.7 f 16.65 34.97 78.59 Bf 11.72 18.89 26.72 FNo. 3.59 5.20 6.54 2ω[°] 89.2 43.2 19.8 DD[5] 0.10 12.96 27.84 DD

[13] 16.40 10.53 2.52 DD

[18] 3.00 0.67 0.52 DD

[21] 2.61 0.62 0.10 DD

[24] 0.79 0.20 2.91 DD

[27] 7.41 8.15 8.03 DD

[29] 0.20 10.95 13.95 DD

[31] 11.72 18.89 26.72

[0760] [Table 78]

[0761] Example 26

[0762] Sn 15 16 28 29 KA 1.0000000E+00 1.0000000E+00 1.0000000E+00 1.0000000E+00 A4 -3.4263630E-05 2.9352506E-05 -3.4533142E-05 -2.8868498E-05 A6 -1.3709107E-07 -1.7374340E-07 1.1948261E-07 9.6060506E-08 A8 -2.1707452E-10 -6.7282139E-10 8.9943399E-10 4.3541594E-10 A10 -6.8512735E-11 -6.7769564E-11 -5.5306362E-11 -4.1415592E-11

[0763] [Example 27]

[0764] The structure and movement trajectory of the variable magnification optical system of Example 27 are shown in FIG. Figure 55The zoom optical system of Example 27 includes, from the object side to the image side, a first lens group G1 having positive refractive power, a second lens group G2 having negative refractive power, a third lens group G3 having positive refractive power, a fourth lens group G4 having positive refractive power, a fifth lens group G5 having positive refractive power, a sixth lens group G6 having negative refractive power, a seventh lens group G7 having negative refractive power, and an eighth lens group G8 having positive refractive power. The intermediate group GM includes the third lens group G3, the fourth lens group G4, the fifth lens group G5, the sixth lens group G6, and the seventh lens group G7. The final lens group GE includes the eighth lens group G8. When zooming from the wide-angle end to the telephoto end, the above-mentioned eight lens groups move along the optical axis Z by changing the intervals with the adjacent lens groups with different movement trajectories. The anti-vibration group includes the fifth lens group G5. The focusing lens group includes the sixth lens group G6, which moves toward the image side when focusing from an object at infinity to an object at a close distance.

[0765] Regarding the variable magnification optical system of Example 27, basic lens data are shown in Table 79, specifications and variable surface spacing are shown in Table 80, aspheric coefficients are shown in Table 81, and various aberration diagrams are shown in Table 82. Figure 56 .

[0766] [Table 79]

[0767] Example 27

[0768] Sn R D Nd νd ED SG 1 115.3186 0.9898 1.92846 18.58 38.1381 3.49 2 79.1806 3.1270 1.55301 73.08 3.63 3 -1081.7074 0.1000 4 49.0680 3.1129 1.57035 70.44 5 304.5036 DD[5] 6 53.6981 0.5879 1.85063 43.88 7 13.1044 5.2502 8 -27.3630 0.7498 1.86930 41.97 9 165.4745 0.0751 10 28.5357 2.9133 1.86632 21.68 11 -46.1861 1.5082 12 -19.5576 0.7498 1.72507 56.47 13 -629.6624 DD

[13] 14(St) ∞ 0.0000 .15 15.8721 3.9325 1.56783 70.06 .16 -82.7607 2.5001 17 56.9784 1.7502 1.58253 68.57 18 24.7857 DD

[18] 19 23.8470 0.7499 2.00000 28.44 20 12.0765 3.0599 1.50478 65.49 21 -35.9131 DD

[21] 22 26.6783 3.8648 1.64973 58.14 3.81 23 -17.4939 0.8252 1.98045 30.60 24 -35.2155 DD

[24] 25 61.3298 3.5002 1.86962 23.85 26 -13.0296 0.5030 1.85879 34.88 27 14.6582 DD

[27] *28 -21.0948 0.4865 1.62343 48.24 *29 -30.8100 DD

[29] 30 195.8824 1.4610 1.66490 32.51 31 -192.5464 DD

[31] 21

[0769] [Table 80]

[0770] Example 27

[0771] Wide Middle Tele Zr 1.0 3.0 5.9 f 17.46 52.38 103.01 Bf 11.72 21.46 39.02 FNo. 3.59 5.71 7.23 2ω[°] 88.6 29.2 15.2 DD[5] 0.10 20.21 24.61 DD

[13] 20.72 11.94 2.09 DD

[18] 3.00 0.28 0.40 DD

[21] 3.00 1.29 3.75 DD

[24] 0.74 0.33 5.93 DD

[27] 10.26 8.66 8.12 DD

[29] 0.00 15.72 3.94 DD

[31] 11.72 21.46 39.02

[0772] [Table 81]

[0773] Example 27

[0774] Sn 15 16 28 29 KA 1.0000000E+00 1.0000000E+00 1.0000000E+00 1.0000000E+00 A4 -3.4764119E-05 1.6127642E-05 -3.6510296E-05 -4.0750223E-05 A6 -1.3327630E-07 -1.4763540E-07 1.7427058E-07 4.0469409E-08 A8 5.9598219E-10 -5.5094104E-10 7.0573373E-11 8.8137762E-10 A10 -8.7812605E-11 -8.1122913E-11 -5.1288062E-11 -5.1229951E-11

[0775] [Example 28]

[0776] The structure and movement trajectory of the variable magnification optical system of Example 28 are shown in FIG. Figure 57The zoom optical system of Example 28 includes, in order from the object side to the image side, a first lens group G1 with positive refractive power, a second lens group G2 with negative refractive power, a third lens group G3 with positive refractive power, a fourth lens group G4 with positive refractive power, a fifth lens group G5 with positive refractive power, a sixth lens group G6 with negative refractive power, a seventh lens group G7 with negative refractive power, and an eighth lens group G8 with positive refractive power. The intermediate lens group GM includes the third lens group G3, the fourth lens group G4, the fifth lens group G5, the sixth lens group G6, and the seventh lens group G7. The final lens group GE includes the eighth lens group G8. When zooming from the wide-angle end to the telephoto end, the seven lens groups, namely the first lens group G1 to the seventh lens group G7, move along the optical axis Z, changing the intervals between them and the adjacent lens groups along different movement trajectories. The eighth lens group G8 is fixed relative to the image plane Sim. The anti-vibration group includes the fifth lens group G5. The focusing lens group includes the sixth lens group G6, which moves toward the image side when focusing from an object at infinity to an object at a close distance.

[0777] Regarding the variable magnification optical system of Example 28, basic lens data are shown in Table 82, specifications and variable surface spacing are shown in Table 83, aspheric coefficients are shown in Table 84, and various aberration diagrams are shown in Table 85. Figure 58 .

[0778] [Table 82]

[0779] Example 28

[0780] Sn R D Nd νd ED SG 1 72.3867 0.9484 1.98677 15.66 35.4113 5.49 2 62.0450 3.3405 1.57176 70.22 3.66 3 1402.1606 0.1000 4 69.3868 2.2167 1.56401 71.40 5 219.6581 DD[5] 6 73.4735 0.5724 1.91927 36.36 7 13.5145 4.3499 8 -40.1073 0.7498 1.54004 67.60 9 30.0838 0.0748 10 21.1993 2.5809 1.89466 20.27 11 -663.9479 1.3601 12 -19.2010 0.7498 1.73719 55.48 13 -58.4702 DD

[13] 14(St) ∞ 0.0000 *15 16.0686 2.4757 1.67245 59.07 *16 -77.1411 2.5000 17 106.8679 1.7502 1.43601 68.14 18 20.5589 DD

[18] 19 23.9532 0.7498 2.00001 25.11 20 11.3929 3.0602 1.51000 77.56 21 -53.7614 DD

[21] 22 26.0491 3.9087 1.85925 42.78 4.82 23 -14.2775 0.4981 2.00001 25.95 24 -50.8816 DD

[24] 25 49.4431 3.5002 1.97338 20.43 26 -14.5388 0.5089 1.96802 31.50 27 14.2362 DD

[27] *28 -34.1599 0.4897 1.65245 43.06 *29 -86.0367 DD

[29] 30 -449.4683 3.3276 1.87187 40.66 31 -41.6661 12.0721 27.8

[0781] [Table 83]

[0782] Example 28

[0783] Wide Middle Tele Zr 1.0 2.1 4.7 f 15.85 33.29 74.83 Bf 12.07 12.07 12.07 FNo. 3.59 5.56 6.49 2ω[°] 95.6 44.6 21.0 DD[5] 0.10 13.06 23.75 DD

[13] 16.84 10.00 2.51 DD

[18] 3.00 1.29 1.28 DD

[21] 1.03 0.10 0.19 DD

[24] 0.40 0.55 2.93 DD

[27] 6.06 5.28 4.47 DD

[29] 0.09 15.22 31.43

[0784] [Table 84]

[0785] Example 28

[0786] Sn 15 16 28 29 KA 1.0000000E+00 1.0000000E+00 1.0000000E+00 1.0000000E+00 A4 -2.6003699E-05 2.1954299E-05 -5.1978918E-05 -3.7148523E-05 A6 2.7177642E-08 6.1257445E-09 1.1008695E-07 -1.2179098E-08 A8 -2.3919007E-09 -3.2465116E-09 -1.3938800E-09 -4.5674923E-10 A10 -8.4344215E-11 -7.6780163E-11 1.7171352E-12 -2.8251562E-11

[0787] [Example 29]

[0788] The structure and movement trajectory of the variable magnification optical system of Example 29 are shown in FIG. Figure 59The zoom optical system of Example 29 includes, in order from the object side to the image side, a first lens group G1 with positive refractive power, a second lens group G2 with negative refractive power, a third lens group G3 with positive refractive power, a fourth lens group G4 with positive refractive power, a fifth lens group G5 with positive refractive power, a sixth lens group G6 with negative refractive power, a seventh lens group G7 with negative refractive power, and an eighth lens group G8 with positive refractive power. The intermediate lens group GM includes the third lens group G3, the fourth lens group G4, the fifth lens group G5, the sixth lens group G6, and the seventh lens group G7. The final lens group GE includes the eighth lens group G8. When zooming from the wide-angle end to the telephoto end, the seven lens groups, namely the first lens group G1 to the seventh lens group G7, move along the optical axis Z, changing the intervals between them and the adjacent lens groups along different movement trajectories. The eighth lens group G8 is fixed relative to the image plane Sim. The anti-vibration group includes the fifth lens group G5. The focusing lens group includes the sixth lens group G6, which moves toward the image side when focusing from an object at infinity to an object at a close distance.

[0789] Regarding the variable magnification optical system of Example 29, basic lens data are shown in Table 85, specifications and variable surface spacing are shown in Table 86, aspheric coefficients are shown in Table 87, and various aberration diagrams are shown in Table 88. Figure 60 .

[0790] [Table 85]

[0791] Example 29

[0792] Sn R D Nd νd ED SG 1 73.1706 0.9487 1.90749 19.63 35.972 3.53 2 55.4275 3.7842 1.55707 72.46 3.63 3 4271.4412 0.1000 4 55.6993 2.4909 1.66543 59.41 5 172.8580 DD[5] 6 53.3970 0.5721 1.93026 35.73 7 12.6306 4.6804 8 -36.3428 0.7498 1.61415 62.08 9 32.8573 0.0748 10 21.6473 2.8148 1.89372 20.31 11 -162.4456 1.7208 12 -19.0520 0.7502 1.76355 52.79 13 -53.7404 DD

[13] 14(St) ∞ -0.0002 *15 16.5304 2.6449 1.58721 67.84 *16 -69.3922 2.5000 17 315.0209 1.7502 1.43601 69.10 18 28.7143 DD

[18] 19 26.7715 0.7498 2.00000 25.34 20 12.0166 3.0602 1.56897 61.26 21 -34.9907 DD

[21] 22 25.2489 3.7894 1.79783 47.90 4.47 23 -15.8360 0.4995 2.00001 27.84 24 -45.6926 DD

[24] 25 72.0763 3.3663 1.91193 20.54 26 -13.7710 0.5851 1.88720 33.83 27 13.0877 DD

[27] *28 -30.2759 0.4963 1.66178 35.42 *29 -86.8087 DD

[29] 30 -1756.2311 3.4869 1.80886 46.07 31 -41.6660 13.0814 27.8

[0793] [Table 86]

[0794] Example 29

[0795] Wide Middle Tele Zr 1.0 2.1 4.7 f 16.24 34.11 76.66 Bf 13.08 13.08 13.08 FNo. 3.59 5.56 6.49 2ω[°] 88.2 43.4 20.2 DD[5] 0.10 11.20 21.85 DD

[13] 17.15 11.14 2.60 DD

[18] 3.00 1.00 1.36 DD

[21] 1.63 0.31 0.31 DD

[24] 0.49 0.29 2.31 DD

[27] 5.65 5.71 5.90 DD

[29] 0.29 16.94 29.42

[0796] [Table 87]

[0797] Example 29

[0798] Sn 15 16 28 29 KA 1.0000000E+00 1.0000000E+00 1.0000000E+00 1.0000000E+00 A4 -1.3932738E-05 3.9415871E-05 -4.2588299E-05 -2.6928874E-05 A6 -1.1810153E-07 -1.5600125E-07 1.5483024E-07 4.3056909E-08 A8 5.3286661E-10 -5.4905218E-10 3.6869838E-10 2.9210869E-10 A10 -6.3296436E-11 -5.3761228E-11 -5.3571560E-11 -5.4384669E-11

[0799] [Example 30]

[0800] The structure and movement trajectory of the variable magnification optical system of Example 30 are shown in FIG. Figure 61The zoom optical system of Example 30 includes, in order from the object side to the image side, a first lens group G1 with positive refractive power, a second lens group G2 with negative refractive power, a third lens group G3 with positive refractive power, a fourth lens group G4 with negative refractive power, a fifth lens group G5 with positive refractive power, a sixth lens group G6 with negative refractive power, a seventh lens group G7 with negative refractive power, and an eighth lens group G8 with positive refractive power. The intermediate lens group GM includes the third lens group G3, the fourth lens group G4, the fifth lens group G5, the sixth lens group G6, and the seventh lens group G7. The final lens group GE includes the eighth lens group G8. When zooming from the wide-angle end to the telephoto end, the seven lens groups, namely the first lens group G1 to the seventh lens group G7, move along the optical axis Z, changing the intervals between them and the adjacent lens groups along different movement trajectories. The eighth lens group G8 is fixed relative to the image plane Sim. The anti-vibration group includes the fifth lens group G5. The focusing lens group includes the sixth lens group G6, which moves toward the image side when focusing from an object at infinity to an object at a close distance.

[0801] Regarding the variable magnification optical system of Example 30, basic lens data are shown in Table 88, specifications and variable surface spacing are shown in Table 89, aspheric coefficients are shown in Table 90, and various aberration diagrams are shown in Table 91. Figure 62 .

[0802] [Table 88]

[0803] Example 30

[0804]

[0805] [Table 89]

[0806] Example 30

[0807] Wide Middle Tele Zr 1.0 2.1 4.7 f 15.80 33.17 74.56 Bf 11.69 11.69 11.69 FNo. 3.60 5.55 6.49 2ω[°] 88.2 43.6 20.8 DD[5] 0.09 12.45 23.84 DD

[13] 16.47 6.49 3.22 DD

[18] 3.00 1.55 0.40 DD

[21] 1.75 3.30 1.51 DD

[24] 0.19 1.45 0.13 DD

[27] 6.53 7.22 8.43 DD

[29] 0.07 6.30 28.64

[0808] [Table 90]

[0809] Example 30

[0810] Sn 15 16 28 29 [[ID= 1.0000000E+00 1.0000000E+00 1.0000000E+00 1.0000000E+00 A4 -2.4021145E-05 2.4039341E-05 -3.4584625E-05 -3.3499050E-05 A6 -3.4418126E-08 -5.9132235E-08 1.9783995E-07 7.8321831E-08 A8 -4.7434325E-09 -5.3319527E-09 -4.0886067E-09 -2.7223200E-09 A10 -5.0963592E-11 -4.5346949E-11 -3.2067302E-11 -1.9375169E-11

[0811] [Example 31]

[0812] The structure and movement trajectory of the variable magnification optical system of Example 31 are shown in FIG. ​The zoom optical system of Example 31 includes, from the object side to the image side, a first lens group G1 with positive refractive power, a second lens group G2 with negative refractive power, a third lens group G3 with positive refractive power, a fourth lens group G4 with negative refractive power, a fifth lens group G5 with positive refractive power, a sixth lens group G6 with negative refractive power, a seventh lens group G7 with negative refractive power, and an eighth lens group G8 with positive refractive power. The intermediate group GM includes the third lens group G3, the fourth lens group G4, the fifth lens group G5, the sixth lens group G6, and the seventh lens group G7. The final lens group GE includes the eighth lens group G8. When zooming from the wide-angle end to the telephoto end, the above-mentioned eight lens groups move along the optical axis Z by changing the intervals with the adjacent lens groups with different movement trajectories. The anti-vibration group includes the fifth lens group G5. The focusing lens group includes the sixth lens group G6, which moves toward the image side when focusing from an object at infinity to an object at a close distance.

[0813] Regarding the variable magnification optical system of Example 31, basic lens data are shown in Table 91, specifications and variable surface spacing are shown in Table 92, aspheric coefficients are shown in Table 93, and various aberration diagrams are shown in Table 94. ​ .

[0814] [Table 91]

[0815] Example 31

[0816]

[0817] [Table 92]

[0818] Example 31

[0819] ​ ​ ​ Zr 1.0 2.1 4.7 f 17.07 35.84 80.56 ​ 16.14 31.22 26.20 ​ 3.58 5.57 6.48 ​ 89.2 43.0 19.4 ​ 0.10 11.88 22.58 ​ 16.01 8.33 2.09 ​ 3.00 0.30 0.35 ​ 0.78 1.67 0.31 ​ 2.46 1.72 5.82 ​ 6.03 5.72 7.10 ​ 0.36 0.24 17.66 ​ 16.14 31.22 26.20

[0820] [Table 93]

[0821] Example 31

[0822] ​ 15 16 21 27 ​ 1.0000000E+00 1.0000000E+00 1.0000000E+00 1.0000000E+00 A4 -2.8444523E-05 1.7608966E-05 -8.3184597E-07 -5.6722830E-05 A6 -7.7389389E-07 -7.3581886E-07 2.1569744E-07 4.5048957E-07 A8 2.0997449E-08 1.2598256E-08 -5.5606756E-09 2.5104175E-09 A10 -6.2342478E-10 -5.0038590E-10 1.2224695E-10 -3.0361670E-11

[0823] ​ 28 ​ 1.0000000E+00 A4 -5.8374861E-05 A6 3.3713288E-07 A8 9.2349890E-10 A10 -1.9630698E-11

[0824] [Example 32]

[0825] The structure and movement trajectory of the variable magnification optical system of Example 32 are shown in FIG. ​The zoom optical system of Example 32 includes, from the object side to the image side, a first lens group G1 having positive refractive power, a second lens group G2 having negative refractive power, a third lens group G3 having positive refractive power, a fourth lens group G4 having positive refractive power, a fifth lens group G5 having positive refractive power, a sixth lens group G6 having negative refractive power, a seventh lens group G7 having negative refractive power, and an eighth lens group G8 having positive refractive power. The intermediate group GM includes the third lens group G3, the fourth lens group G4, the fifth lens group G5, the sixth lens group G6, and the seventh lens group G7. The final lens group GE includes the eighth lens group G8. When zooming from the wide-angle end to the telephoto end, the above-mentioned eight lens groups move along the optical axis Z by changing the intervals with the adjacent lens groups with different movement trajectories. The anti-vibration group includes the fifth lens group G5. The focusing lens group includes the sixth lens group G6, which moves toward the image side when focusing from an object at infinity to an object at a close distance.

[0826] Regarding the variable magnification optical system of Example 32, basic lens data are shown in Table 94, specifications and variable surface spacing are shown in Table 95, aspheric coefficients are shown in Table 96, and various aberration diagrams are shown in Table 97. ​ .

[0827] [Table 94]

[0828] Example 32

[0829]

[0830] [Table 95]

[0831] Example 32

[0832] ​ ​ ​ Zr 1.0 2.1 4.7 f 17.09 35.90 80.69 ​ 11.69 31.62 31.17 ​ 3.59 5.06 6.50 ​ 88.6 43.0 19.6 ​ 0.10 11.66 21.60 ​ 14.17 9.65 2.50 ​ 3.00 0.37 0.45 ​ 2.39 1.28 0.20 ​ 1.89 0.32 4.49 ​ 9.87 7.48 9.24 ​ 0.10 2.73 13.91 ​ 11.69 31.62 31.17

[0833] [Table 96]

[0834] Example 32

[0835] ​ 15 16 27 28 ​ 1.0000000E+00 1.0000000E+00 1.0000000E+00 1.0000000E+00 A4 -3.1976888E-05 2.0494818E-05 -1.8488145E-05 -3.1453765E-05 A6 -1.3775773E-07 -1.9287851E-07 1.7840078E-07 5.1838090E-08 A8 -7.3555961E-10 -2.1646010E-09 -3.3848463E-09 -2.0543022E-09 A10 -3.1540709E-11 -1.8333017E-11 4.3386089E-11 1.7906320E-11

[0836] [Example 33]

[0837] The structure and movement trajectory of the variable magnification optical system of Example 33 are shown in FIG. ​The variable power optical system of Example 33 comprises, in order from the object side to the image side, a first lens group G1 having positive refractive power, a second lens group G2 having negative refractive power, a third lens group G3 having positive refractive power, a fourth lens group G4 having positive refractive power, a fifth lens group G5 having positive refractive power, a sixth lens group G6 having negative refractive power, a seventh lens group G7 having negative refractive power, and an eighth lens group G8 having positive refractive power. The intermediate lens group GM comprises the third lens group G3, the fourth lens group G4, the fifth lens group G5, the sixth lens group G6, and the seventh lens group G7. The final lens group GE comprises the eighth lens group G8. When zooming from the wide-angle end to the telephoto end, the third lens group G3, the fifth lens group G5, and the seventh lens group G7 move along the optical axis Z along the same trajectory. The first lens group G1, the second lens group G2, the third lens group G3, the fourth lens group G4, the sixth lens group G6, and the eighth lens group G8 move along the optical axis Z along different trajectories, varying the spacing between them and the adjacent lens groups. The anti-vibration group includes the fifth lens group G5. The focus lens group includes the sixth lens group G6, which moves toward the image side when focusing from an object at infinity to an object at close range.

[0838] Regarding the variable magnification optical system of Example 33, basic lens data are shown in Table 97, specifications and variable surface spacing are shown in Table 98, aspheric coefficients are shown in Table 99, and various aberration diagrams are shown in Table 91. ​ .

[0839] [Table 97]

[0840] Example 33

[0841]

[0842] [Table 98]

[0843] Example 33

[0844] ​ ​ ​ Zr 1.0 2.1 4.7 f 16.48 34.60 77.77 ​ 13.76 26.57 27.99 ​ 4.00 5.31 7.22 ​ 90.0 44.6 20.2 ​ 0.06 11.24 27.54 ​ 16.58 6.96 2.10 ​ 1.99 1.18 0.92 ​ 0.75 1.55 1.82 ​ 1.83 2.79 2.89 ​ 7.24 6.28 6.18 ​ 1.32 1.51 20.16 ​ 13.76 26.57 27.99

[0845] [Table 99]

[0846] Example 33

[0847] ​ 13 14 25 26 ​ 1.0000000E+00 1.0000000E+00 1.0000000E+00 1.0000000E+00 A4 -3.4460342E-05 1.5417418E-05 -6.8209639E-05 -6.4977777E-05 A6 -1.1239881E-07 9.2727183E-09 1.1164236E-07 3.0875466E-08 A8 -1.6976413E-09 -5.3977575E-09 -1.0230737E-09 -1.1719729E-09 A10 1.4572808E-12 7.1723311E-11 -5.9601202E-11 -3.4696594E-11 A12 -4.5982843E-15 -1.0791785E-15 1.0509654E-16 5.7004631E-16 A14 -3.1165267E-19 -5.7822146E-17 -2.7448917E-18 -5.5193196E-19 A16 3.1734675E-18 -5.1685882E-20 2.8847831E-21 3.9178655E-21 A18 -6.6660151E-20 -2.9795919E-21 -2.3374996E-24 -1.1864116E-23 A20 6.6082519E-22 -2.5569392E-20 1.1168505E-26 -3.6249737E-27

[0848] [Example 34]

[0849] The structure and movement trajectory of the variable magnification optical system of Example 34 are shown in FIG. ​The variable power optical system of Example 34 comprises, in order from the object side to the image side, a first lens group G1 having positive refractive power, a second lens group G2 having negative refractive power, a third lens group G3 having positive refractive power, a fourth lens group G4 having positive refractive power, a fifth lens group G5 having negative refractive power, a sixth lens group G6 having positive refractive power, and a seventh lens group G7 having positive refractive power. The intermediate lens group GM comprises the third lens group G3, the fourth lens group G4, the fifth lens group G5, and the sixth lens group G6. The final lens group GE comprises the seventh lens group G7. When zooming from the wide-angle end to the telephoto end, the fourth lens group G4 and the sixth lens group G6 move along the optical axis Z along the same trajectory, while the first lens group G1, the second lens group G2, the third lens group G3, the fourth lens group G4, the fifth lens group G5, and the seventh lens group G7 move along the optical axis Z along different trajectories, varying the spacing between them and the adjacent lens groups. The anti-vibration group includes the fourth lens group G4. The focus lens group includes the fifth lens group G5, which moves toward the image side when focusing from an object at infinity to an object at close range.

[0850] Regarding the variable magnification optical system of Example 34, basic lens data are shown in Table 100, specifications and variable surface spacing are shown in Table 101, aspheric coefficients are shown in Table 102, and various aberration diagrams are shown in Table 103. ​ .

[0851] [Table 100]

[0852] Example 34

[0853]

[0854] [Table 101]

[0855] Example 34

[0856] ​ ​ ​ Zr 1.0 2.0 4.0 f 15.78 31.43 63.13 ​ 15.37 22.58 30.28 ​ 3.80 5.14 6.68 ​ 92.0 49.8 26.2 ​ 0.20 7.75 25.16 ​ 15.91 4.06 0.14 ​ 2.98 0.89 0.71 ​ 2.23 1.68 0.10 ​ 3.23 3.78 5.37 ​ 5.25 13.77 29.37 ​ 15.37 22.58 30.28

[0857] [Table 102]

[0858] Example 34

[0859] ​ 14 20 23 24 ​ 1.0000000E+00 1.0000000E+00 1.0000000E+00 1.0000000E+00 A4 -2.0791375E-05 7.8029601E-05 2.5396058E-04 1.8278365E-04 A6 1.5301327E-06 -7.7373187E-07 -4.5468664E-07 4.8792574E-07 A8 -3.1483996E-07 4.3499579E-08 4.3724715E-08 8.4975637E-09 A10 3.7157734E-08 -3.8723483E-09 -1.7437821E-10 5.0098492E-10 A12 -2.5259135E-09 3.0322968E-10 2.6120367E-12 2.1406133E-11 A14 1.0044277E-10 -1.6152130E-11 -1.4275217E-12 -2.1266292E-12 A16 -2.2755595E-12 4.7419440E-13 3.2556556E-14 3.8001878E-14 A18 2.6609593E-14 -5.5991444E-15 2.5102742E-16 1.4481697E-16 A20 -1.1980152E-16 0.0000000E+00 -7.7857911E-18 -5.5063189E-18

[0860] ​ 25 26 ​ 1.0000000E+00 1.0000000E+00 A4 -2.1863997E-06 -6.3989928E-06 A6 1.0621788E-07 5.2899017E-08 A8 -1.5350112E-09 -5.5135492E-10 A10 9.1698144E-12 4.4443676E-12 A12 1.1720976E-13 -2.1429370E-14 A14 -2.0665893E-15 1.4508529E-16 A16 7.9052334E-19 -3.8342299E-18 A18 1.0658479E-19 2.0604934E-20 A20 -4.1875453E-22 0.0000000E+00

[0861] Tables 103 to 116 show the corresponding values ​​of conditional expressions (1) to (48) for the variable magnification optical systems of Examples 1 to 34. "-" is entered in the columns where there are no corresponding lenses. Regarding conditional expression (44), when there are multiple corresponding lenses, the corresponding values ​​of the multiple lenses are shown. The corresponding values ​​of the examples shown in Tables 103 to 116 can be used as the upper or lower limit of the conditional expression to set the preferred range of the conditional expression.

[0862] [Table 103]

[0863]

[0864] [Table 104]

[0865]

[0866] [Table 105]

[0867]

[0868] [Table 106]

[0869]

[0870] [Table 107]

[0871]

[0872] [Table 108]

[0873]

[0874] [Table 109]

[0875]

[0876] [Table 110]

[0877]

[0878] [Table 111]

[0879]

[0880] [Table 112]

[0881]

[0882] [Table 113]

[0883]

[0884] [Table 114]

[0885]

[0886] [Table 115]

[0887]

[0888] [Table 116]

[0889]

[0890] Despite their compact structure, the variable magnification optical systems of Examples 1 to 34 maintain high optical performance by ensuring excellent correction of various aberrations throughout the entire zoom range. Furthermore, the total viewing angle of the variable magnification optical systems of Examples 1 to 34 at the wide-angle end exceeds 80°, ensuring a wide viewing angle.

[0891] Next, an imaging device according to an embodiment of the present invention will be described. ​ and ​ , there is shown an external view of a camera 30 which is an imaging device according to one embodiment of the present invention. ​ 1 is a perspective view of the camera 30 as viewed from the front side. ​ The camera 30 is a perspective view from the back. The camera 30 is a so-called mirrorless digital camera, and can detachably mount an interchangeable lens 20. The interchangeable lens 20 includes the variable magnification optical system 1 according to one embodiment of the present invention housed in a lens barrel.

[0892] The camera 30 includes a camera body 31, on the top of which are provided a shutter button 32 and a power button 33. Furthermore, an operation unit 34, an operation unit 35, and a display unit 36 ​​are provided on the back of the camera body 31. The display unit 36 ​​can display captured images and images that existed within the angle of view before the capture.

[0893] A photographic aperture for incident light from a photographic subject is provided in the center of the front surface of the camera body 31 . A mount 37 is provided at a position corresponding to the photographic aperture, and the interchangeable lens 20 is mounted on the camera body 31 via the mount 37 .

[0894] The camera body 31 is equipped with an imaging element such as a CCD (Charge Coupled Device) or a CMOS (Complementary Metal Oxide Semiconductor) that outputs an imaging signal corresponding to the subject image formed by the interchangeable lens 20, a signal processing circuit that processes the imaging signal output from the imaging element to generate an image, and a recording medium for recording the generated image. The camera 30 can capture still images or moving images by pressing the shutter button 32, and the image data obtained by this capture is recorded on the recording medium.

[0895] While the present invention has been described above using embodiments and examples, the present invention is not limited to these embodiments and examples and is capable of various modifications. For example, the radius of curvature, interplanar spacing, refractive index, Abbe number, and aspheric coefficient of each lens are not limited to the values ​​shown in the above embodiments and may employ other values.

[0896] Furthermore, the imaging device according to the embodiment of the present invention is not limited to the above-mentioned example, and can be various types such as a camera other than a mirrorless camera, a film camera, a video camera, and a security camera.

[0897] The following additional notes are further disclosed with respect to the above-mentioned embodiments and examples.

[0898] [Supplementary Note 1]

[0899] A variable magnification optical system comprises, in order from the object side to the image side, a first lens group with positive refractive power, a second lens group with negative refractive power, an intermediate lens group, and a final lens group with refractive power.

[0900] The intermediate group includes more than 2 and less than 5 lens groups,

[0901] When zooming, the interval between the first lens group and the second lens group changes, the interval between the second lens group and the intermediate group changes, the interval between the intermediate group and the final lens group changes, and all intervals between adjacent lens groups in the intermediate group change.

[0902] Let the back focal length of the entire system at the air conversion distance at the wide-angle end be Bfw,

[0903] Let the focal length of the entire system when focusing on an infinitely distant object at the telephoto end be ft.

[0904] When the maximum half angle of view in the state of focusing on an infinitely distant object at the telephoto end is set to ωt,

[0905] The variable power optical system satisfies the conditional expression (1) represented by 0.4<Bfw / (ft×tanωt)<1.7(1).

[0906] [Supplementary Note 2]

[0907] The variable magnification optical system according to Supplementary Note 1, wherein:

[0908] When TLw is the sum of the distance on the optical axis from the lens surface of the first lens group closest to the object side to the lens surface of the final lens group closest to the image side in a state focused on an object at infinity at the wide-angle end and the back focus of the entire system in terms of air conversion distance,

[0909] The variable magnification optical system satisfies the conditional expression (2) represented by 4<TLw / (ft×tanωt)<7(2).

[0910] [Supplementary Note 3]

[0911] The variable magnification optical system according to Supplementary Note 1 or 2, wherein:

[0912] When TLw is the sum of the distance on the optical axis from the lens surface of the first lens group closest to the object side to the lens surface of the final lens group closest to the image side in a state focused on an object at infinity at the wide-angle end and the back focus of the entire system in terms of air conversion distance,

[0913] The variable magnification optical system satisfies the conditional expression (3) represented by 0.75<TLw / ft<1.35(3).

[0914] [Supplementary Note 4]

[0915] The variable magnification optical system according to any one of Supplementary Notes 1 to 3, wherein:

[0916] When focusing on an object at infinity at the telephoto end, the open F value is FNot.

[0917] When the focal length of the entire system is set to fw while focusing on an object at infinity at the wide-angle end,

[0918] The variable power optical system satisfies the conditional expression (4) represented by 1.1<FNot / (ft / fw)<3(4).

[0919] [Supplementary Note 5]

[0920] The variable magnification optical system according to any one of Supplementary Notes 1 to 4, wherein:

[0921] When the focal length of the entire system is set to fw when focusing on an object at infinity at the wide-angle end,

[0922] The variable power optical system satisfies the conditional expression (5) represented by 0.9<fw / (ft×tanωt)<1.32(5).

[0923] [Supplementary Note 6]

[0924] The variable magnification optical system according to any one of Supplementary Notes 1 to 5, wherein:

[0925] When focusing on an object at infinity at the wide-angle end, the focal length of the entire system is defined as fw.

[0926] When TLw is the sum of the distance on the optical axis from the lens surface of the first lens group closest to the object side to the lens surface of the final lens group closest to the image side when focusing on an object at infinity at the wide-angle end and the back focus of the entire system in terms of air conversion distance,

[0927] The variable magnification optical system satisfies 0.11<(fw×TLw) / ft 2 <0.6(6) represents the conditional expression (6).

[0928] [Supplementary Note 7]

[0929] The variable magnification optical system according to any one of Supplementary Notes 1 to 6, wherein:

[0930] The first lens group includes at least two lenses,

[0931] The sum of the distance on the optical axis from the lens surface of the first lens group closest to the object side to the lens surface of the final lens group closest to the image side in a state focused on an infinitely distant object at the wide-angle end and the back focus of the entire system in terms of air conversion distance is denoted as TLw.

[0932] Set the open F value when focusing on an object at infinity at the telephoto end to FNot.

[0933] When the focal length of the entire system is set to fw while focusing on an object at infinity at the wide-angle end,

[0934] The variable magnification optical system satisfies

[0935] 4.7<TLw / (ft×tanωt)<6.7(2-3)

[0936] 0.75<TLw / ft<1.35(3)

[0937] 1.28<FNot / (fL / fw)<1.9(4-2)

[0938] 0.9<fw / (ft×tanωt)<1.32(5)

[0939] The conditional expressions (2-3), (3), (4-2) and (5) are represented.

[0940] [Supplementary Note 8]

[0941] The variable magnification optical system according to any one of Supplementary Notes 1 to 7, wherein:

[0942] When the focal length of the first lens group is set to f1,

[0943] When the focal length of the second lens group is set to f2,

[0944] The variable magnification optical system satisfies the conditional expression (7) represented by 2<f1 / (-f2)<15(7).

[0945] [Supplementary Note 9]

[0946] The variable magnification optical system according to any one of Supplementary Notes 1 to 8, wherein:

[0947] When focusing on an object at infinity at the wide-angle end, the focal length of the entire system is set to fw.

[0948] When the focal length of the final lens group is set to fE,

[0949] The variable magnification optical system satisfies the conditional expression (8) represented by -1<fw / fE<1(8).

[0950] [Supplementary Note 10]

[0951] The variable magnification optical system according to any one of Supplementary Notes 1 to 9, wherein:

[0952] When the focal length of the first lens group is set to f1,

[0953] When the focal length of the entire system is set to fw while focusing on an object at infinity at the wide-angle end,

[0954] The variable magnification optical system satisfies 0.5<f1 / (fw×ft) 1 / 2 <5(9) represents the conditional expression (9).

[0955] [Supplementary Note 11]

[0956] The variable power optical system according to any one of Supplementary Items 1 to 10, wherein, when the focal length of the second lens group is set to f2,

[0957] When the focal length of the entire system is set to fw while focusing on an object at infinity at the wide-angle end,

[0958] The variable magnification optical system satisfies 0.1<(-f2) / (fw×ft) 1 / 2 <1(10) represents the conditional expression (10).

[0959] [Supplementary Note 12]

[0960] The variable magnification optical system according to any one of Supplementary Notes 1 to 11, wherein:

[0961] When the focal length of the first lens group is set to f1,

[0962] When the open F value is set to FNot while focusing on an object at infinity at the telephoto end,

[0963] The variable magnification optical system satisfies the conditional expression (11) represented by 4<f1 / (ft / FNot)<15(11).

[0964] [Supplementary Note 13]

[0965] The variable magnification optical system according to any one of Supplementary Notes 1 to 12, wherein:

[0966] The sum of the distance on the optical axis from the lens surface of the first lens group closest to the object side to the lens surface of the final lens group closest to the image side in a state focused on an infinitely distant object at the wide-angle end and the back focus of the entire system in terms of air conversion distance is denoted as TLw.

[0967] When the focal length of the entire system is set to fw while focusing on an object at infinity at the wide-angle end,

[0968] The variable magnification optical system satisfies the conditional expression (12) represented by 3.5<TLw / fw<6.5(12).

[0969] [Supplementary Note 14]

[0970] The variable magnification optical system according to any one of Supplementary Notes 1 to 13, wherein:

[0971] When TLt is the sum of the distance on the optical axis from the lens surface closest to the object side of the first lens group to the lens surface closest to the image side of the final lens group in a state focused on an infinitely distant object at the telephoto end and the back focus of the entire system in terms of air conversion distance,

[0972] The variable magnification optical system satisfies the conditional expression (13) represented by 1<TLt / ft<2.5(13).

[0973] [Supplementary Note 15]

[0974] The variable magnification optical system according to any one of Supplementary Notes 1 to 14, wherein:

[0975] When TLt is the sum of the distance on the optical axis from the lens surface closest to the object side of the first lens group to the lens surface closest to the image side of the final lens group in a state focused on an infinitely distant object at the telephoto end and the back focus of the entire system in terms of air conversion distance,

[0976] The variable magnification optical system satisfies the conditional expression (14) represented by 7<TLt / (ft×tanωt)<11.5(14).

[0977] [Supplementary Note 16]

[0978] The variable magnification optical system according to any one of Supplementary Notes 1 to 15, wherein:

[0979] When focusing on an object at infinity at the wide-angle end, the maximum half angle of view is ωw.

[0980] When the open F value is set to FNow while focusing on an object at infinity at the wide-angle end,

[0981] The variable magnification optical system satisfies the conditional expression (15) represented by 0.17<tanωw / FNow<0.35(15).

[0982] [Supplementary Note 17]

[0983] The variable magnification optical system according to any one of Supplementary Notes 1 to 16, wherein:

[0984] an aperture stop is arranged at a position closer to the image side than the lens surface closest to the image side of the second lens group;

[0985] The distance on the optical axis from the lens surface closest to the object to the aperture stop in a state where the lens is focused on an infinitely distant object at the wide-angle end is DDG1STw.

[0986] When the focal length of the first lens group is set to f1,

[0987] The variable magnification optical system satisfies the conditional expression (16) represented by 0.15<DDG1STw / f1<1(16).

[0988] [Supplementary Note 18]

[0989] The variable magnification optical system according to any one of Supplementary Notes 1 to 17, wherein:

[0990] The distance on the optical axis from the lens surface closest to the object to the paraxial entrance pupil position in a state where the lens is focused on an infinitely distant object at the wide-angle end is Denw.

[0991] Let fw be the focal length of the entire system when focusing on an object at infinity at the wide-angle end.

[0992] When the maximum half angle of view is set to ωw when focusing on an object at infinity at the wide-angle end,

[0993] The variable magnification optical system satisfies the conditional expression (17) represented by 1<Denw / {(fw×tanωw)×log(ft / fw))<3.5(17).

[0994] [Supplementary Note 19]

[0995] The variable magnification optical system according to any one of Supplementary Notes 1 to 18, wherein:

[0996] The distance on the optical axis from the lens surface closest to the object to the paraxial entrance pupil position in a state where the lens is focused on an infinitely distant object at the wide-angle end is Denw.

[0997] When the focal length of the entire system is set to fw while focusing on an object at infinity at the wide-angle end,

[0998] The variable magnification optical system satisfies 0.3<Denw / (fw×ft) 1 / 2 <1(18) represents the conditional expression (18).

[0999] [Supplementary Note 20]

[1000] The variable magnification optical system according to any one of Supplementary Notes 1 to 19, wherein:

[1001] The variable magnification optical system includes an aperture stop,

[1002] The distance on the optical axis from the lens surface closest to the object to the aperture stop in a state where the lens is focused on an infinitely distant object at the wide-angle end is DDG1STw.

[1003] When TLw is the sum of the distance on the optical axis from the lens surface of the first lens group closest to the object side to the lens surface of the final lens group closest to the image side when focusing on an object at infinity at the wide-angle end and the back focus of the entire system in terms of air conversion distance,

[1004] The variable magnification optical system satisfies the conditional expression (19) represented by 0.25<DDG1STw / TLw<0.6(19).

[1005] [Supplementary Note 21]

[1006] The variable magnification optical system according to any one of Supplementary Notes 1 to 20, wherein:

[1007] When focusing on an object at infinity at the wide-angle end, the focal length of the entire system is set to fw.

[1008] When Dexw is the sum of the distance on the optical axis from the paraxial exit pupil position to the lens surface closest to the image side of the final lens group when focusing on an infinitely distant object at the wide-angle end and the back focus of the entire system in terms of air conversion distance,

[1009] The variable magnification optical system satisfies the conditional expression (20) represented by 0.3<fw / Dexw<0.65(20).

[1010] [Supplementary Note 22]

[1011] The variable magnification optical system according to any one of Supplementary Notes 1 to 21, wherein:

[1012] When the zooming is performed from the wide-angle end to the telephoto end, the movement amount of the first lens group is M1.

[1013] The sign of M1 is set to positive when it moves from the object side to the image side, and to negative when it moves from the image side to the object side.

[1014] When TLt is the sum of the distance on the optical axis from the lens surface of the first lens group closest to the object side to the lens surface of the final lens group closest to the image side when focusing on an object at infinity at the telephoto end and the back focus of the entire system in terms of air conversion distance,

[1015] The variable magnification optical system satisfies the conditional expression (21) represented by 0.2<(-M1) / TLt<0.5(21).

[1016] [Supplementary Note 23]

[1017] The variable magnification optical system according to any one of Supplementary Notes 1 to 22, wherein:

[1018] When the zoom is performed from the wide-angle end to the telephoto end, the movement amount of the second lens group is M2.

[1019] The sign of M2 is set to positive when it moves from the object side to the image side, and negative when it moves from the image side to the object side.

[1020] When TLt is the sum of the distance on the optical axis from the lens surface of the first lens group closest to the object side to the lens surface of the final lens group closest to the image side when focusing on an object at infinity at the telephoto end and the back focus of the entire system in terms of air conversion distance,

[1021] The variable magnification optical system satisfies the conditional expression (22) represented by 0.04<(-M2) / TLt<0.4(22).

[1022] [Supplementary Note 24]

[1023] The variable magnification optical system according to any one of Supplementary Notes 1 to 23, wherein:

[1024] When focusing on an object at infinity at the wide-angle end, the focal length of the entire system is set to fw.

[1025] When the focal length of the middle group in the state of focusing on an infinitely distant object at the wide-angle end is set to fMw,

[1026] The variable magnification optical system satisfies the conditional expression (23) represented by 0.3<fw / fMw<2(23).

[1027] [Supplementary Note 25]

[1028] The variable magnification optical system according to any one of Supplementary Notes 1 to 24, wherein:

[1029] When the focal length of the intermediate group in a state of focusing on an infinitely distant object at a telephoto end is set to fMt, the variable magnification optical system satisfies a conditional expression (24) represented by 1<ft / fMt<10(24).

[1030] [Supplementary Note 26]

[1031] The variable magnification optical system according to any one of Supplementary Notes 1 to 25, wherein:

[1032] The distance on the optical axis from the lens surface of the first lens group closest to the object side to the lens surface of the first lens group closest to the image side is D1sum,

[1033] When the open F value is set to FNot while focusing on an object at infinity at the telephoto end,

[1034] The variable magnification optical system satisfies the conditional expression (25) represented by 0.2<D1sum / (ft / FNot)<1.6(25).

[1035] [Supplementary Note 27]

[1036] The variable magnification optical system according to any one of Supplementary Notes 1 to 26, wherein:

[1037] The lateral magnification of the second lens group in a state of focusing on an infinitely distant object at the telephoto end is β 2t,

[1038] When the lateral magnification of the second lens unit in a state of focusing on an infinitely distant object at the wide-angle end is β2w,

[1039] The variable magnification optical system satisfies the conditional expression (26) represented by 1<β 2t / β 2w<3(26).

[1040] [Supplementary Note 28]

[1041] The variable magnification optical system according to any one of Supplementary Notes 1 to 27, wherein:

[1042] When the average value of the Abbe numbers of all the positive lenses of the first lens group on a d-ray basis is denoted as ν1p ave,

[1043] The variable magnification optical system satisfies the conditional expression (27) represented by 40<ν1pave<95(27).

[1044] [Supplementary Note 29]

[1045] The variable magnification optical system according to any one of Supplementary Notes 1 to 28, wherein:

[1046] The image side surface of the Lp positive lens, which is the positive lens with the strongest positive refractive power among the uncemented single lenses in the middle group, is a convex surface.

[1047] When the focal length of the Ip positive lens is set to fp,

[1048] When the focal length of the intermediate group in a state of focusing on an infinitely distant object at the wide-angle end is set to fMw, the variable power optical system satisfies conditional expression (28) represented by 0.4<fMw / fp<2(28).

[1049] [Supplementary Note 30]

[1050] The variable magnification optical system according to Supplementary Note 29, wherein:

[1051] The Lp positive lens is a biconvex lens.

[1052] [Supplementary Note 31]

[1053] The variable magnification optical system according to Supplementary note 30, wherein:

[1054] The object-side surface and the image-side surface of the Lp positive lens are aspherical surfaces.

[1055] [Supplementary Note 32]

[1056] The variable magnification optical system according to any one of Supplementary Notes 1 to 31, wherein:

[1057] When the effective diameter of the lens surface closest to the object side of the first lens group is EDf,

[1058] When the effective diameter of the lens surface closest to the image side of the final lens group is denoted as EDr,

[1059] The variable magnification optical system satisfies the conditional expression (29) represented by 1.2<EDf / EDr<3(29).

[1060] [Supplementary Note 33]

[1061] The variable magnification optical system according to any one of Supplementary Notes 1 to 32, wherein:

[1062] When the effective diameter of the lens surface closest to the object side of the first lens group is EDf,

[1063] When TLw is the sum of the distance on the optical axis from the lens surface of the first lens group closest to the object side to the lens surface of the final lens group closest to the image side when focusing on an object at infinity at the wide-angle end and the back focus of the entire system in terms of air conversion distance,

[1064] The variable magnification optical system satisfies the conditional expression (30) represented by 0.25<EDf / TLw<0.6(30).

[1065] [Supplementary Note 34]

[1066] The variable magnification optical system according to any one of Supplementary Notes 1 to 33, wherein:

[1067] The first lens group includes, in order from the object side to the image side, a first lens which is a negative lens and a second lens which is a positive lens.

[1068] [Supplementary Note 35]

[1069] The variable magnification optical system according to Supplementary note 34, wherein:

[1070] When the center thickness of the first lens is set to d1,

[1071] When the effective diameter of the lens surface closest to the object side of the first lens group is denoted as EDf,

[1072] The variable magnification optical system satisfies the conditional expression (31) represented by 0.01<d1 / EDf<0.4(31).

[1073] [Supplementary Note 36]

[1074] The variable magnification optical system according to Supplementary Item 34 or 35, wherein:

[1075] When the center thickness of the first lens is set to d1,

[1076] The distance on the optical axis from the lens surface closest to the object to the paraxial entrance pupil position in a state where the lens is focused on an infinitely distant object at the wide-angle end is Denw.

[1077] When the maximum half angle of view is set to ωw when focusing on an object at infinity at the wide-angle end,

[1078] The variable magnification optical system satisfies the conditional expression (32) represented by 0.01<d1 / (Denw×tanωw)<0.15(32).

[1079] [Supplementary Note 37]

[1080] The variable magnification optical system according to any one of Supplementary Items 34 to 36, wherein:

[1081] When the center thickness of the second lens is set to d2,

[1082] The paraxial curvature radius of the object-side surface of the second lens is R2f.

[1083] When the paraxial curvature radius of the image-side surface of the second lens is R2r,

[1084] The variable magnification optical system satisfies the conditional expression (33) represented by 0.01<d2×(1 / R2f-1 / R2r)<0.4(33).

[1085] [Supplementary Note 38]

[1086] The variable magnification optical system according to any one of Supplementary Items 34 to 37, wherein:

[1087] When the center thickness of the first lens is set to d1,

[1088] When the focal length of the first lens group is set to f1,

[1089] The variable magnification optical system satisfies the conditional expression (34) represented by 0.005<d1 / f1<0.025(34).

[1090] [Supplementary Note 39]

[1091] The variable magnification optical system according to any one of Supplementary Items 34 to 38, wherein:

[1092] When the center thickness of the first lens is set to d1,

[1093] When the distance on the optical axis from the lens surface of the first lens group closest to the object side to the lens surface of the first lens group closest to the image side is denoted as Dlsum,

[1094] The variable magnification optical system satisfies the conditional expression (35) represented by 0.05<d1 / Dlsum<0.3(35).

[1095] [Supplementary Item 40]

[1096] The variable magnification optical system according to any one of Supplementary Notes 34 to 39, wherein:

[1097] When the average value of the specific gravity of the first lens and the specific gravity of the second lens is G12ave,

[1098] The variable magnification optical system satisfies the conditional expression (36) represented by 2<G12ave<5.5(36).

[1099] [Supplementary Note 41]

[1100] The variable magnification optical system according to any one of Supplementary Items 34 to 40, wherein:

[1101] The first lens group includes the first lens, the second lens, and a positive lens in order from the object side to the image side.

[1102] [Supplementary Note 42]

[1103] The variable magnification optical system according to any one of Supplementary Items 34 to 41, wherein:

[1104] The first lens is cemented to the second lens.

[1105] When the Abbe number of the d-ray reference of the second lens is set to ν2,

[1106] The variable magnification optical system satisfies the conditional expression (37) represented by 40<ν2<95(37).

[1107] [Supplementary Note 43]

[1108] The variable magnification optical system according to Supplementary note 41, wherein:

[1109] When the Abbe number of the positive lens closest to the image side of the first lens group on the d-ray basis is ν3,

[1110] The variable magnification optical system satisfies the conditional expression (38) represented by 40<ν3<95(38).

[1111] [Supplementary Note 44]

[1112] The variable magnification optical system according to any one of Supplementary Notes 1 to 43, wherein:

[1113] A negative lens is arranged on the object side of the second lens group.

[1114] The second lens group further includes at least one negative lens different from the negative lens located closest to the object side and at least one positive lens.

[1115] [Supplementary Note 45]

[1116] The variable magnification optical system according to Supplementary note 44, wherein:

[1117] Assuming that the focal length of the negative lens closest to the object in the second lens group is fL21,

[1118] When the focal length of the second lens group is set to f2,

[1119] The variable magnification optical system satisfies the conditional expression (39) represented by 0.5<fL21 / f2<3(39).

[1120] [Supplementary Note 46]

[1121] The variable magnification optical system according to Supplementary item 44 or 45, wherein:

[1122] When the paraxial curvature radius of the object-side surface of the negative lens closest to the object side of the second lens group is RL21f,

[1123] When the paraxial curvature radius of the image-side surface of the negative lens closest to the object side of the second lens group is RL21r,

[1124] The variable magnification optical system satisfies a conditional expression (40) represented by 0.5<(RL21f+RL21r) / (RL21f-RL21r)<3.5(40).

[1125] [Supplementary Note 47]

[1126] The variable magnification optical system according to any one of Supplementary Items 44 to 46, wherein:

[1127] When the focal length of the second lens from the object side of the second lens group is set to fL22,

[1128] When the focal length of the second lens group is set to f2,

[1129] The variable magnification optical system satisfies the conditional expression (41) represented by 0.4<fL22 / f2<5(41).

[1130] [Supplementary Note 48]

[1131] The variable magnification optical system according to any one of Supplementary Notes 1 to 47, wherein:

[1132] When the focal length of the entire system is set to fw when focusing on an object at infinity at the wide-angle end,

[1133] The variable magnification optical system satisfies the conditional expression (42) represented by 2.5<ft / fw<7(42).

[1134] [Supplementary Note 49]

[1135] The variable magnification optical system according to any one of Supplementary Notes 1 to 48, wherein:

[1136] When the focal length of the second lens group is set to f2,

[1137] When the focal length of the lens group closest to the object in the middle group is set to f3,

[1138] The variable magnification optical system satisfies a conditional expression (43) represented by -1.2<f2 / f3<1(43).

[1139] [Supplementary Note 50]

[1140] The variable magnification optical system according to any one of Supplementary Items 1 to 49, comprising at least three aspherical surfaces.

[1141] [Supplementary Note 51]

[1142] The variable magnification optical system according to Supplementary Item 50, comprising at least one plastic lens having an object-side surface and an image-side surface that are aspherical,

[1143] When the specific gravity of the plastic lens is GP,

[1144] The variable magnification optical system satisfies the conditional expression (44) represented by 0.8<GP<1.5(44).

[1145] [Supplementary Note 52]

[1146] The variable magnification optical system according to Supplementary note 51, wherein:

[1147] The plastic lens is disposed on the image side of the intermediate lens group and at least one side within the final lens group.

[1148] [Supplementary Note 53]

[1149] The variable magnification optical system according to any one of Supplementary Notes 1 to 52, wherein:

[1150] The intermediate group includes at least one cemented lens composed of one positive lens and one negative lens.

[1151] [Supplementary Note 54]

[1152] The variable magnification optical system according to any one of Supplementary Notes 1 to 53, wherein:

[1153] The intermediate group includes an anti-vibration group that moves in a direction intersecting the optical axis during image shake correction.

[1154] When the focal length of the anti-vibration group is set to fIS,

[1155] The variable magnification optical system satisfies the conditional expression (45) represented by 0.1<fIS / ft<0.7(45).

[1156] [Supplementary Note 55]

[1157] The variable magnification optical system according to Supplementary note 54, wherein:

[1158] The anti-vibration group includes a double convex lens.

[1159] [Supplementary Note 56]

[1160] The variable magnification optical system according to Supplementary Item 55, wherein:

[1161] When the average value of the specific gravity of all the biconvex lenses in the vibration isolation group is set to GISave,

[1162] The variable magnification optical system satisfies the conditional expression (46) represented by 2<GISave<5(46).

[1163] [Supplementary Note 57]

[1164] The variable magnification optical system according to any one of Supplementary Notes 1 to 56, wherein:

[1165] When changing magnification, the first lens group, the second lens group and all lens groups in the intermediate group move.

[1166] [Supplementary Note 58]

[1167] The variable magnification optical system according to any one of Supplementary Notes 1 to 57, wherein:

[1168] The intermediate group has positive refractive power as a whole within the entire zoom range.

[1169] [Supplementary Note 59]

[1170] The variable magnification optical system according to any one of Supplementary Notes 1 to 58, wherein:

[1171] One of the lens groups included in the intermediate group is a focus lens group that moves along the optical axis during zooming and focusing.

[1172] [Supplementary item 60]

[1173] The variable magnification optical system according to Supplementary Item 59, wherein:

[1174] The focusing lens group includes a positive lens and a negative lens.

[1175] [Supplementary Note 61]

[1176] The variable magnification optical system according to Supplementary note 60, wherein:

[1177] The focusing lens group includes a cemented lens in which the positive lens and the negative lens are cemented together.

[1178] [Supplementary Item 62]

[1179] The variable magnification optical system according to Supplementary Item 59, wherein:

[1180] The focusing lens group includes a negative lens.

[1181] [Supplementary Item 63]

[1182] The variable magnification optical system according to any one of Supplementary Items 59 to 62, wherein:

[1183] The middle group includes only one focusing lens group.

[1184] [Supplementary Note 64]

[1185] The variable magnification optical system according to any one of Supplementary Notes 59 to 63, comprising an anti-vibration group that moves in a direction intersecting the optical axis during image shake correction,

[1186] The focus lens group is arranged on the image side with respect to the anti-vibration group.

[1187] [Supplementary Note 65]

[1188] The variable magnification optical system according to any one of Supplementary Items 59 to 64, wherein:

[1189] The focusing lens group is the lens group closest to the image side of the intermediate group.

[1190] [Supplementary Note 66]

[1191] The variable magnification optical system according to any one of Supplementary Notes 1 to 65, wherein:

[1192] The final lens group includes, from the object side to the image side, a negative lens with a concave object-side surface and a positive lens.

[1193] [Supplementary Note 67]

[1194] The variable magnification optical system according to Supplementary note 66, wherein:

[1195] When the paraxial curvature radius of the object-side surface of the negative lens in the final lens group is set to REnf,

[1196] When the paraxial curvature radius of the image-side surface of the negative lens in the final lens group is denoted by REnr,

[1197] The variable magnification optical system satisfies the conditional expression (47) represented by -15<(REnf+REnr) / (REnf-REnr)<-0.1(47).

[1198] [Supplementary Note 68]

[1199] The variable magnification optical system according to Supplementary item 66 or 67, wherein:

[1200] When the paraxial curvature radius of the object-side surface of the positive lens in the final lens group is set to REpf,

[1201] When the paraxial curvature radius of the image-side surface of the positive lens in the final lens group is denoted by REpr,

[1202] The variable magnification optical system satisfies the conditional expression (48) represented by -1.3<(REpf+REpr) / (REpf-REpr)<-0.1(48).

[1203] [Supplementary Note 69]

[1204] The variable magnification optical system according to any one of Supplementary Notes 1 to 68, wherein:

[1205] The movement trajectories of the lens groups that move when zooming from the wide-angle end to the telephoto end are five or six different movement trajectories.

[1206] [Supplementary Item 70]

[1207] The variable power optical system according to Supplementary note 69 includes a plurality of lens groups that move along the same movement trajectory when performing variable power from the wide-angle end to the telephoto end.

[1208] [Supplementary Note 71]

[1209] The variable magnification optical system according to supplementary item 70, wherein:

[1210] At least one lens that moves along the optical axis during focusing is arranged between the plurality of lens groups that move along the same movement trajectory.

[1211] [Supplementary Item 72]

[1212] The variable magnification optical system according to any one of Supplementary Notes 1 to 71, wherein:

[1213] The intermediate group includes, in order from the object side to the image side, a lens group with positive refractive power and a lens group with negative refractive power.

[1214] [Supplementary Note 73]

[1215] The variable magnification optical system according to any one of Supplementary Notes 1 to 71, wherein:

[1216] The middle group includes, from the object side to the image side, a lens group with negative refractive power, a lens group with positive refractive power, and a lens group with negative refractive power.

[1217] [Supplementary Note 74]

[1218] The variable magnification optical system according to any one of Supplementary Notes 1 to 71, wherein:

[1219] The middle group includes, from the object side to the image side, a lens group with positive refractive power, a lens group with positive refractive power, and a lens group with negative refractive power.

[1220] [Supplementary Note 75]

[1221] The variable magnification optical system according to any one of Supplementary Notes 1 to 71, wherein:

[1222] The middle group includes, from the object side to the image side, a lens group with positive refractive power, a lens group with positive refractive power, a lens group with negative refractive power, and a lens group with positive refractive power.

[1223] [Supplementary Note 76]

[1224] The variable magnification optical system according to any one of Supplementary Notes 1 to 71, wherein:

[1225] The middle group includes, from the object side to the image side, a lens group with positive refractive power, a lens group with positive refractive power, a lens group with positive refractive power, and a lens group with negative refractive power.

[1226] [Supplementary Note 77]

[1227] The variable magnification optical system according to any one of Supplementary Notes 1 to 71, wherein:

[1228] The middle group includes, from the object side to the image side, a lens group with positive refractive power, a lens group with negative refractive power, a lens group with positive refractive power, and a lens group with negative refractive power.

[1229] [Supplementary Note 78]

[1230] The variable magnification optical system according to any one of Supplementary Notes 1 to 71, wherein:

[1231] The intermediate group includes, from the object side to the image side, a lens group with positive refractive power, a lens group with negative refractive power, a lens group with positive refractive power, a lens group with negative refractive power, and a lens group with negative refractive power.

[1232] [Supplementary Note 79]

[1233] The variable magnification optical system according to Supplementary note 78, wherein:

[1234] The final lens group is fixed relative to the image plane during zooming.

[1235] [Supplementary item 80]

[1236] The variable magnification optical system according to any one of Supplementary Notes 1 to 71, wherein:

[1237] The intermediate group includes, from the object side to the image side, a lens group with positive refractive power, a lens group with positive refractive power, a lens group with positive refractive power, a lens group with negative refractive power, and a lens group with negative refractive power.

[1238] [Supplementary Note 81]

[1239] The variable magnification optical system according to supplementary item 80, wherein:

[1240] The final lens group is fixed relative to the image plane during zooming.

[1241] [Supplementary Note 82]

[1242] An imaging device comprising the variable magnification optical system according to any one of Supplementary Notes 1 to 81.

[1243] All documents, patent applications, and technical standards described in this specification are incorporated herein by reference to the same extent as if each individual document, patent application, or technical standard were specifically and individually indicated to be incorporated by reference.

Claims

1. A variable magnification optical system, which comprises, from the object side to the image side, a first lens group with positive refractive power, a second lens group with negative refractive power, an intermediate group and a final lens group with refractive power, The intermediate group includes more than 2 and less than 5 lens groups, When changing the magnification, the interval between the first lens group and the second lens group changes, the interval between the second lens group and the intermediate group changes, the interval between the intermediate group and the final lens group changes, and all intervals between adjacent lens groups in the intermediate group change. When the back focal length of the entire system at the air conversion distance at the wide-angle end is set to Bfw, The focal length of the entire system when focusing on an infinitely distant object at the telephoto end is set to ft. When the maximum half angle of view in the state of focusing on an infinitely far object at the telephoto end is set to ωt, The variable power optical system satisfies the conditional expression (1) represented by 0.4<Bfw / (ft×tanωt)<1.7(1).

2. The variable magnification optical system according to claim 1, wherein: When TLw is the sum of the distance on the optical axis from the lens surface closest to the object side of the first lens group to the lens surface closest to the image side of the final lens group in a state where the lens is focused on an infinitely distant object at the wide angle end and the back focus of the entire system in air conversion distance, The variable power optical system satisfies conditional expression (2) represented by 4<TLw / (ft×tanωt)<7(2).

3. The variable magnification optical system according to claim 1, wherein: When TLw is the sum of the distance on the optical axis from the lens surface closest to the object side of the first lens group to the lens surface closest to the image side of the final lens group in a state where the lens is focused on an infinitely distant object at the wide angle end and the back focus of the entire system in air conversion distance, The variable power optical system satisfies conditional expression (3) represented by 0.75<TLw / ft<1.35(3).

4. The variable magnification optical system according to claim 1, wherein: When the focus is on an object at infinity at the telephoto end, the open F value is FNot. When the focal length of the entire system is set to fw when focusing on an object at infinity at the wide-angle end, The variable power optical system satisfies conditional expression (4) represented by 1.1<FNot / (ft / fw)<3(4).

5. The variable magnification optical system according to claim 1, wherein: When the focal length of the entire system in a state where the focus is on an infinitely distant object at the wide angle end is set to fw, The variable power optical system satisfies the conditional expression (5) represented by 0.9<fw / (ft×tanωt)<1.32(5).

6. The variable magnification optical system according to claim 1, wherein: When the focal length of the entire system is set to fw when focusing on an infinitely far object at the wide angle end, When TLw is the sum of the distance on the optical axis from the lens surface closest to the object side of the first lens group to the lens surface closest to the image side of the final lens group in a state where the lens is focused on an infinitely distant object at the wide angle end and the back focus of the entire system in air conversion distance, The variable magnification optical system satisfies 0.11<(fw×TLw) / ft 2 <0.6(6) represents the conditional expression (6).

7. The variable magnification optical system according to claim 1, wherein: The first lens group includes at least two lenses, The sum of the distance on the optical axis from the lens surface closest to the object side of the first lens group to the lens surface closest to the image side of the final lens group in a state where the lens is focused on an infinitely distant object at the wide angle end and the back focus of the entire system in air conversion distance is denoted as TLw, Set the open F value when focusing on an object at infinity at the telephoto end to FNot. When the focal length of the entire system is set to fw when focusing on an object at infinity at the wide-angle end, The variable magnification optical system satisfies 4.7<TLw / (ft×tanωt)<6.7 (2-3) 0.75<TLw / ft<1.35 (3) 1.28<FNot / (ft / fw)<1.9 (4-2) 0.9<<fw / (ft×tanωt)<1.32 (5) The conditional expressions (2-3), (3), (4-2) and (5) are represented.

8. The variable magnification optical system according to claim 1, wherein: When the focal length of the first lens group is set to f1, When the focal length of the second lens group is set to f2, The variable power optical system satisfies conditional expression (7) represented by 2<f1 / (-f2)<15(7).

9. The variable magnification optical system according to claim 1, wherein: When the focal length of the entire system is set to fw when focusing on an infinitely far object at the wide angle end, When the focal length of the final lens group is set to fE, The variable power optical system satisfies conditional expression (8) represented by -1<fw / fE<1(8).

10. The variable power optical system according to claim 1, wherein: When the focal length of the first lens group is set to f1, When the focal length of the entire system is set to fw when focusing on an object at infinity at the wide-angle end, The variable magnification optical system satisfies 0.5<f1 / (fw×ft) 1 / 2 <5 (9) represents the conditional expression (9).

11. The variable magnification optical system according to claim 1, wherein: When the focal length of the second lens group is set to f2, When the focal length of the entire system is set to fw when focusing on an object at infinity at the wide-angle end, The variable magnification optical system satisfies 0.1<(-f2) / (fw×ft) 1 / 2 <1 (10) represents the conditional expression (10).

12. The variable power optical system according to claim 1, wherein: When the focal length of the first lens group is set to f1, When the open F value is set to FNot while focusing on an object at infinity at the telephoto end, The variable power optical system satisfies the conditional expression (11) represented by 4<f1 / (ft / FNoL)<15 (11).

13. The variable power optical system according to claim 1, wherein: The sum of the distance on the optical axis from the lens surface closest to the object side of the first lens group to the lens surface closest to the image side of the final lens group in a state where the lens is focused on an infinitely distant object at the wide angle end and the back focus of the entire system in air conversion distance is denoted as TLw, When the focal length of the entire system is set to fw when focusing on an object at infinity at the wide-angle end, The variable power optical system satisfies conditional expression (12) represented by 3.5<TLw / fw<6.5(12).

14. The variable power optical system according to claim 1, wherein: When the sum of the distance on the optical axis from the lens surface closest to the object side of the first lens group to the lens surface closest to the image side of the final lens group in a state of focusing on an infinitely distant object at the telephoto end and the back focus of the entire system in air conversion distance is denoted as TLt, The variable power optical system satisfies conditional expression (13) represented by 1<TLt / ft<2.5(13).

15. The variable power optical system according to claim 1, wherein: When the sum of the distance on the optical axis from the lens surface closest to the object side of the first lens group to the lens surface closest to the image side of the final lens group in a state of focusing on an infinitely distant object at the telephoto end and the back focus of the entire system in air conversion distance is denoted as TLt, The variable power optical system satisfies the conditional expression (14) represented by 7<TLt / (ft×tanωt)<11.5 (14).

16. The variable power optical system according to claim 1, wherein: When focusing on an infinitely distant object at the wide-angle end, the maximum half angle of view is ωw. When the open F value is set to FNow while focusing on an object at infinity at the wide-angle end, The variable power optical system satisfies the conditional expression (15) represented by 0.17<tanωw / FNow<0.35(15).

17. The variable power optical system according to claim 1, wherein: an aperture stop is arranged at a position closer to the image side than the lens surface closest to the image side of the second lens group; The distance on the optical axis from the lens surface of the first lens group closest to the object to the aperture stop in a state where the lens is focused on an infinitely distant object at the wide angle end is DDG1STw, When the focal length of the first lens group is set to f1, The variable power optical system satisfies conditional expression (16) represented by 0.15<DDG1STw / f1<1 (16).

18. The variable power optical system according to claim 1, wherein: When the distance on the optical axis from the lens surface closest to the object to the paraxial entrance pupil position in a state where the lens is focused on an infinitely distant object at the wide angle end is Denw, The focal length of the entire system when focusing on an infinitely distant object at the wide-angle end is defined as fw. When the maximum half angle of view in the state of focusing on an infinitely far object at the wide-angle end is ωw, The variable power optical system satisfies the conditional expression (17) represented by 1<Denw / {(fw×tanωw)×log(ft / fw)}<3.5(17).

19. The variable power optical system according to claim 1, wherein: When the distance on the optical axis from the lens surface closest to the object to the paraxial entrance pupil position in a state where the lens is focused on an infinitely distant object at the wide angle end is Denw, When the focal length of the entire system is set to fw when focusing on an object at infinity at the wide-angle end, The variable magnification optical system satisfies 0.3<Denw / (fw×ft) 1 / 2 <1 (18) represents the conditional expression (18).

20. The variable power optical system according to claim 1, wherein: The variable magnification optical system includes an aperture stop, When the distance on the optical axis from the lens surface closest to the object side of the first lens group to the aperture stop in a state where the lens is focused on an infinitely distant object at the wide angle end is DDG1STw, When TLw is the sum of the distance on the optical axis from the lens surface closest to the object side of the first lens group to the lens surface closest to the image side of the final lens group in a state where the lens is focused on an infinitely distant object at the wide angle end and the back focus of the entire system in air conversion distance, The variable power optical system satisfies the conditional expression (19) represented by 0.25<DDG1STw / TLw<0.6 (19).

21. The variable power optical system according to claim 1, wherein: When the focal length of the entire system is set to fw when focusing on an infinitely far object at the wide angle end, When Dexw is the sum of the distance on the optical axis from the paraxial exit pupil position to the lens surface closest to the image side of the final lens group in a state where the object at infinity is focused at the wide angle end and the back focus of the entire system at the air conversion distance, The variable power optical system satisfies the conditional expression (20) represented by 0.3<fw / Dexw<0.65(20).

22. The variable power optical system according to claim 1, wherein: When the amount of movement of the first lens group when zooming from the wide angle end to the telephoto end is denoted as M1, The sign of M1 is set to be positive when it moves from the object side to the image side, and to be negative when it moves from the image side to the object side. When the sum of the distance on the optical axis from the lens surface closest to the object side of the first lens group to the lens surface closest to the image side of the final lens group in a state of focusing on an infinitely distant object at the telephoto end and the back focus of the entire system in air conversion distance is denoted as TLt, The variable power optical system satisfies the conditional expression (21) represented by 0.2<(-M1) / TLt<0.5 (21).

23. The variable power optical system according to claim 1, wherein: When the amount of movement of the second lens group when zooming from the wide angle end to the telephoto end is denoted as M2, The sign of M2 is set to positive when it moves from the object side to the image side, and to negative when it moves from the image side to the object side. When the sum of the distance on the optical axis from the lens surface closest to the object side of the first lens group to the lens surface closest to the image side of the final lens group in a state of focusing on an infinitely distant object at the telephoto end and the back focus of the entire system in air conversion distance is denoted as TLt, The variable power optical system satisfies conditional expression (22) represented by 0.04<(-M2) / TLt<0.4(22).

24. The variable power optical system according to claim 1, wherein: When the focal length of the entire system is set to fw when focusing on an infinitely far object at the wide angle end, When the focal length of the middle group in a state of focusing on an infinitely distant object at the wide angle end is set to fMw, The variable power optical system satisfies conditional expression (23) represented by 0.3<fw / fMw<2(23).

25. The variable power optical system according to claim 1, wherein: When the focal length of the intermediate group in a state of focusing on an infinitely distant object at a telephoto end is set to fMt, the variable power optical system satisfies a conditional expression (24) represented by 1<ft / fMt<10(24).

26. The variable power optical system according to claim 1, wherein: The distance on the optical axis from the lens surface of the first lens group closest to the object side to the lens surface of the first lens group closest to the image side is D1sum, When the open F value is set to FNot while focusing on an object at infinity at the telephoto end, The variable power optical system satisfies conditional expression (25) represented by 0.2<D1sum / (ft / FNot)<1.6 (25).

27. The variable power optical system according to claim 1, wherein: The lateral magnification of the second lens group in a state where the lens is focused on an infinitely distant object at the telephoto end is β2t, When the lateral magnification of the second lens unit in a state of focusing on an infinitely distant object at the wide angle end is β2w, The variable power optical system satisfies conditional expression (26) represented by 1<β2t / β2w<3(26).

28. The variable power optical system according to claim 1, wherein: When the average value of the Abbe numbers of all the positive lenses of the first lens group on a d-ray basis is denoted by v 1p ave, The variable power optical system satisfies conditional expression (27) represented by 40<v 1pave<95(27).

29. The variable power optical system according to claim 1, wherein: The image side surface of the Lp positive lens, which is the positive lens with the strongest positive refractive power among the unjointed single lenses of the middle group, is a convex surface. When the focal length of the Lp positive lens is set to fp, When the focal length of the middle group in a state of focusing on an infinitely distant object at the wide angle end is set to fMw, The variable power optical system satisfies conditional expression (28) represented by 0.4<fMw / fp<2(28).

30. The variable power optical system according to claim 29, wherein: The Lp positive lens is a biconvex lens.

31. The variable power optical system according to claim 30, wherein: The object-side surface and the image-side surface of the Lp positive lens are aspherical surfaces.

32. The variable power optical system according to claim 1, wherein: When the effective diameter of the lens surface closest to the object side of the first lens group is EDf, When the effective diameter of the lens surface closest to the image side of the final lens group is EDr, The variable power optical system satisfies conditional expression (29) represented by 1.2<EDf / EDr<3(29).

33. The variable power optical system according to claim 1, wherein: When the effective diameter of the lens surface closest to the object side of the first lens group is EDf, When TLw is the sum of the distance on the optical axis from the lens surface of the first lens group closest to the object side to the lens surface of the final lens group closest to the image side in a state where the lens is focused on an infinitely distant object at the wide angle end and the back focus of the entire system in air conversion distance, The variable power optical system satisfies the conditional expression (30) represented by 0.25<EDf / TLw<0.6(30).

34. The variable power optical system according to claim 1, wherein: The first lens group includes a first lens as a negative lens and a second lens as a positive lens in order from the object side to the image side.

35. The variable power optical system according to claim 34, wherein: When the center thickness of the first lens is set to d1, When the effective diameter of the lens surface closest to the object side of the first lens unit is EDf, The variable power optical system satisfies the conditional expression (31) represented by 0.01<d1 / EDf<0.4(31).

36. The variable power optical system according to claim 34, wherein: When the center thickness of the first lens is set to d1, The distance on the optical axis from the lens surface closest to the object to the paraxial entrance pupil position in a state where the lens is focused on an infinitely distant object at the wide angle end is Denw, When the maximum half angle of view in the state of focusing on an infinitely far object at the wide-angle end is ωw, The variable power optical system satisfies the conditional expression (32) represented by 0.01<d1 / (Denw×tanωw)<0.15 (32).

37. The variable power optical system according to claim 34, wherein: When the center thickness of the second lens is set to d2, The paraxial curvature radius of the object-side surface of the second lens is set to R2f. When the paraxial curvature radius of the image-side surface of the second lens is set to R2r, The variable power optical system satisfies the conditional expression (33) expressed by 0.01<d2×(1 / R2f-1 / R2r)<0.4(33).

38. The variable power optical system according to claim 34, wherein: When the center thickness of the first lens is set to d1, When the focal length of the first lens group is set to f1, The variable power optical system satisfies conditional expression (34) represented by 0.005<d1 / f1<0.025(34).

39. The variable power optical system according to claim 34, wherein: When the center thickness of the first lens is set to d1, When the distance on the optical axis from the lens surface of the first lens group closest to the object side to the lens surface of the first lens group closest to the image side is denoted as D1sum, The variable power optical system satisfies conditional expression (35) represented by 0.05<d1 / D1sum<0.3(35).

40. The variable power optical system according to claim 34, wherein: When the average value of the specific gravity of the first lens and the specific gravity of the second lens is G12ave, The variable power optical system satisfies conditional expression (36) represented by 2<G12ave<5.5(36).

41. The variable power optical system according to claim 34, wherein: The first lens group includes the first lens, the second lens, and a positive lens in order from the object side to the image side.

42. The variable power optical system according to claim 34, wherein: The first lens is bonded to the second lens. When the Abbe number of the d-ray reference of the second lens is set to v 2, The variable power optical system satisfies the conditional expression (37) represented by 40<v2<95(37).

43. The variable power optical system according to claim 41, wherein: When the Abbe number of the positive lens closest to the image side of the first lens group based on d-ray is v3, The variable power optical system satisfies the conditional expression (38) represented by 40<v3<95(38).

44. The variable power optical system according to claim 1, wherein: A negative lens is arranged on the object side of the second lens group. The second lens group further includes at least one negative lens different from the negative lens on the most object side and at least one positive lens.

45. The variable power optical system according to claim 44, wherein: When the focal length of the negative lens closest to the object side of the second lens group is set to fL21, When the focal length of the second lens group is set to f2, The variable power optical system satisfies conditional expression (39) represented by 0.5<fL21 / f2<3(39).

46. ​​The variable power optical system according to claim 44, wherein: When the paraxial curvature radius of the object-side surface of the negative lens closest to the object side of the second lens group is RL21f, When the paraxial curvature radius of the image-side surface of the negative lens closest to the object side of the second lens group is RL21r, The variable power optical system satisfies a conditional expression (40) represented by 0.5<(RL21f+RL21r) / (RL21f-RL21r)<3.5(40).

47. The variable power optical system according to claim 44, wherein: When the focal length of the second lens from the object side of the second lens group is set to fL22, When the focal length of the second lens group is set to f2, The variable power optical system satisfies the conditional expression (41) represented by 0.4<fL22 / f2<5(41).

48. The variable power optical system according to claim 1, wherein: When the focal length of the entire system in a state where the focus is on an infinitely distant object at the wide angle end is set to fw, The variable power optical system satisfies conditional expression (42) represented by 2.5<ft / fw<7(42).

49. The variable power optical system according to claim 1, wherein: When the focal length of the second lens group is set to f2, When the focal length of the lens group closest to the object in the middle group is set to f3, The variable power optical system satisfies a conditional expression (43) represented by -1.2<f2 / f3<1(43).

50. The variable power optical system of claim 1, comprising at least three aspherical surfaces.

51. The variable power optical system according to claim 50, comprising a plastic lens having at least one object-side surface and one image-side surface aspherical surfaces, When the specific gravity of the plastic lens is GP, The variable power optical system satisfies conditional expression (44) represented by 0.8<GP<1.5(44).

52. The variable power optical system according to claim 51, wherein: The plastic lens is disposed on the image side of the intermediate lens group and at least one side of the final lens group.

53. The variable power optical system according to claim 1, wherein: The intermediate group includes at least one cemented lens composed of one positive lens and one negative lens.

54. The variable power optical system according to claim 1, wherein: The intermediate group includes an anti-vibration group that moves in a direction intersecting the optical axis during image shake correction. When the focal length of the anti-vibration group is set to fIS, The variable power optical system satisfies conditional expression (45) represented by 0.1<fIS / ft<0.7(45).

55. The variable power optical system according to claim 54, wherein: The anti-vibration group includes a biconvex lens.

56. The variable power optical system according to claim 55, wherein: When the average value of the specific gravity of all the biconvex lenses in the anti-vibration group is set to GISave, The variable power optical system satisfies conditional expression (46) represented by 2<GISave<5(46).

57. The variable power optical system according to claim 1, wherein: When changing the magnification, the first lens group, the second lens group and all the lens groups in the intermediate group move.

58. The variable power optical system according to claim 1, wherein: The intermediate group has positive refractive power as a whole within the entire variable magnification region.

59. The variable power optical system according to claim 1, wherein: One of the lens groups included in the intermediate group is a focus lens group that moves along the optical axis during zooming and focusing.

60. The variable power optical system according to claim 59, wherein: The focusing lens group includes a positive lens and a negative lens.

61. The variable power optical system according to claim 60, wherein: The focus lens group includes a cemented lens in which the positive lens and the negative lens are cemented.

62. The variable power optical system according to claim 59, wherein: The focusing lens group includes a negative lens.

63. The variable power optical system according to claim 59, wherein: The middle group includes only one focusing lens group.

64. The variable power optical system according to claim 59, comprising an anti-vibration group that moves in a direction intersecting the optical axis during image shake correction, The focus lens group is arranged at a position closer to the image side than the anti-vibration group.

65. The variable power optical system according to claim 59, wherein: The focusing lens group is a lens group closest to the image side of the intermediate group.

66. The variable power optical system according to claim 1, wherein: The final lens group includes, from the object side to the image side, a negative lens and a positive lens whose object side surface is a concave surface.

67. The variable power optical system according to claim 66, wherein: When the paraxial curvature radius of the object-side surface of the negative lens of the final lens group is set to REnf, When the paraxial curvature radius of the image-side surface of the negative lens of the final lens group is denoted by REnr, The variable power optical system satisfies conditional expression (47) represented by -15<(REnf+REnr) / (REnf-REnr)<-0.1(47).

68. The variable power optical system according to claim 66, wherein: When the paraxial curvature radius of the object-side surface of the positive lens of the final lens group is set to REpf, When the paraxial curvature radius of the image-side surface of the positive lens of the final lens group is denoted by REpr, The variable power optical system satisfies the conditional expression (48) represented by -1.3<(REpf+REpr) / (REpf-REpr)<-0.1(48).

69. The variable power optical system according to claim 1, wherein: Among the movement trajectories of the lens groups that move when zooming from the wide-angle end to the telephoto end, there are five or six movement trajectories that are different from each other.

70. The variable power optical system according to claim 69, comprising a plurality of lens groups that move along the same movement trajectory when performing variable power from a wide angle end to a telephoto end.

71. The variable power optical system according to claim 70, wherein: At least one lens that moves along the optical axis during focusing is arranged between the plurality of lens groups that move along the same movement trajectory.

72. The variable power optical system according to claim 1, wherein: The intermediate group includes a lens group with positive refractive power and a lens group with negative refractive power in sequence from the object side to the image side.

73. The variable power optical system according to claim 1, wherein: The intermediate group includes, from the object side to the image side, a lens group with negative refractive power, a lens group with positive refractive power, and a lens group with negative refractive power.

74. The variable power optical system according to claim 1, wherein: The middle group includes, from the object side to the image side, a lens group with positive refractive power, a lens group with positive refractive power, and a lens group with negative refractive power.

75. The variable power optical system according to claim 1, wherein: The intermediate group includes, from the object side to the image side, a lens group with positive refractive power, a lens group with positive refractive power, a lens group with negative refractive power, and a lens group with positive refractive power.

76. The variable power optical system according to claim 1, wherein: The intermediate group includes, from the object side to the image side, a lens group with positive refractive power, a lens group with positive refractive power, a lens group with positive refractive power, and a lens group with negative refractive power.

77. The variable power optical system according to claim 1, wherein: The intermediate group includes, from the object side to the image side, a lens group with positive refractive power, a lens group with negative refractive power, a lens group with positive refractive power, and a lens group with negative refractive power.

78. The variable power optical system according to claim 1, wherein: The intermediate group includes, from the object side to the image side, a lens group with positive refractive power, a lens group with negative refractive power, a lens group with positive refractive power, a lens group with negative refractive power, and a lens group with negative refractive power.

79. The variable power optical system of claim 78, wherein: The final lens group is fixed relative to the image plane during zooming.

80. The variable power optical system according to claim 1, wherein: The intermediate group includes, from the object side to the image side, a lens group with positive refractive power, a lens group with positive refractive power, a lens group with positive refractive power, a lens group with negative refractive power, and a lens group with negative refractive power.

81. The variable power optical system according to claim 80, wherein: When changing the magnification, the final lens group is fixed relative to the image plane.

82. An imaging device comprising the variable magnification optical system according to any one of claims 1 to 81.

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