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 positive refractive power, a second lens group having negative refractive power, an intermediate group, and a final lens group having refractive power. The intermediate group includes one or more and five or less lens groups. An aperture stop is disposed between the lens surface closest to the image side of the second lens group and the lens surface closest to the object side of the final lens group. The first lens group includes a negative lens and a positive lens consecutively in order from the object-most side to the image side. 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 a camera 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 Application Laid-Open Nos. 2016-109720, 2016-109721, and 2021-009217 are known. Summary of the invention

[0003] There is a demand for a variable power optical system that is compact, has a small F value throughout the entire variable power range, and has high optical performance throughout the entire variable power range. These demands are increasing year by year.

[0004] The present invention provides a small-sized variable magnification optical system with a small F value in the entire variable magnification range and high optical performance in the entire variable magnification range, and an imaging device having the variable magnification 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 one 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, and the interval between the intermediate group and the final lens group changes. When the intermediate group includes a plurality of lens groups, when zooming, all intervals between adjacent lens groups in the intermediate group change, and an aperture stop is arranged between the lens surface of the second lens group closest to the image side and the lens surface of the final lens group closest to the object side, and the first lens group includes, in order from the closest object side to the image side, a first lens as a negative lens and a second lens as a positive lens, and in a state where the focus is on an infinitely distant object at a wide-angle end. When the optical axis distance from the object side surface of the first lens to the aperture stop is set to DDL1STw, the sum of the optical axis distance from the object side surface of the first lens 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 measured in terms of air conversion distance is set to TLw, the open F value in the state of focusing on an infinite object at the telephoto end is set to Fnot, the focal length of the entire system in the state of focusing on an infinite object at the telephoto end is set to ft, 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 back focal length of the entire system in the wide-angle end measured in terms of air conversion distance is set to Bfw, and the maximum half angle of view in the state of focusing on an infinite object at the telephoto end is set to ωt, the variable magnification optical system satisfies the following conditional expressions (1), (2) and (3).

[0007] 0<DDL1STw / TLw<0.5 (1)

[0008] 0.5<Fnot / (ft / fw)<1.3 (2)

[0009] 0.15<Bfw / (ft×tanωt)<2 (3)

[0010] Variable magnification optical system of the above method

[0011] It is preferable to satisfy the following conditional formula (4).

[0012] 1<fw / (ft×tanωt)<1.4 (4)

[0013] When the focal length of the first lens group is f1 and the combined focal length of the optical system from the first lens to the aperture stop in a state of focusing on an infinitely distant object at the wide-angle end is fL1STw, the above-described variable power optical system preferably satisfies the following conditional expression (5).

[0014] -6.6<f1 / fL1STw<-1.5 (5)

[0015] When the focal length of the first lens unit is f1 and the focal length of the first lens is fL1, the zoom optical system of the above aspect preferably satisfies the following conditional expression (6).

[0016] -0.9<f1 / fL1<-0.05 (6).

[0017] The variable power optical system of the above aspect preferably satisfies the following conditional expression (7) when the combined focal length of the optical system from the first lens to the aperture stop in a state in which the object at infinity at the wide angle end is focused is fL1STw.

[0018] -1.4<fw / fL1STw<-0.3 (7)

[0019] When the composite focal length of the optical system from the first lens to the aperture stop in the state of focusing on an infinitely distant object at the wide-angle end is set to fL1STw, the focal length of the first lens group is set to f1, and the focal length of the first lens is set to fL1, the above-mentioned variable power optical system preferably satisfies the following conditional equations (4), (5), (6) and (7).

[0020] 1<fw / (ft×tanωt)<1.4 (4)

[0021] -6.6<f1 / fL1STw<-1.5 (5)

[0022] -0.9<f1 / fL1<-0.05 (6)

[0023] -1.4<fw / fL1STw<-0.3 (7)

[0024] The variable power optical system of the above aspect preferably satisfies the following conditional expression (8).

[0025] 2<TLw / (ft×tanωt)<9(8)

[0026] When the lateral magnification of the second lens group when focusing on an infinitely distant object at the telephoto end is set to β2t, and the lateral magnification of the second lens group when 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 following conditional formula (9).

[0027] 1.1<β2t / β2w<3 (9)

[0028] When the distance on the optical axis between the first lens group and the second lens group when focusing on an infinite object at the wide-angle end is set to DDG12w, the distance on the optical axis between the first lens group and the second lens group when focusing on an infinite object at the telephoto end is set to DDG12t, and the sum of the distance on the optical axis from the object-side surface of the first lens 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 measured in terms of air conversion distance is set to TLt, the above-mentioned variable magnification optical system preferably satisfies the following conditional formula (10).

[0029] 0.1<|DDG12w-DDG12t| / TLt<0.3 (10)

[0030] When the focal length of the first lens unit is set to f1, the variable power optical system of the above aspect preferably satisfies the following conditional expression (11).

[0031] 0.2<DDL1STw / f1<0.8 (11)

[0032] When the maximum half angle of view in a state where an object at infinity at the wide-angle end is focused is defined as ωw, the variable power optical system of the above aspect preferably satisfies the following conditional expression (12).

[0033] 3<DDL1STw / {(fw×tanωw)×log(ft / fw)}<9 (12)

[0034] The variable power optical system of the above aspect preferably satisfies the following conditional expression (13).

[0035] 3<TLw / fw<8 (13)

[0036] When the sum of the distance on the optical axis from the object-side surface of the first lens 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 measured in terms of air conversion distance is set to TLt, the above-mentioned variable magnification optical system preferably satisfies the following conditional formula (14).

[0037] 1.5<TLt / ft<3 (14)

[0038] When the sum of the distance on the optical axis from the object-side surface of the first lens 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 measured in terms of air conversion distance is set to TLt, the above-mentioned variable magnification optical system preferably satisfies the following conditional formula (15).

[0039] 5<TLt / (ft×tanωt)<11 (15)

[0040] When the focal length of the first lens unit is set to f1, the variable power optical system of the above aspect preferably satisfies the following conditional expression (16).

[0041] 3<f1 / fw<7 (16)

[0042] 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 aspect preferably satisfies the following conditional expression (17).

[0043] 3<f1 / (-f2)<9 (17)

[0044] When the focal length of the first lens unit is set to f1, the variable power optical system of the above aspect preferably satisfies the following conditional expression (18).

[0045] 2<f1 / (ft / Fnot)<7 (18)

[0046] When the focal length of the first lens unit is set to f1, the variable power optical system of the above aspect preferably satisfies conditional expression (19).

[0047] 1.8<f1 / (fw×ft) 1 / 2 <4.2 (19)

[0048] When the distance on the optical axis from the object side surface of the first lens to the paraxial entrance pupil position when focusing on an infinitely distant object at the wide-angle end is set to Denw, and the maximum half viewing angle when focusing on an infinitely distant object at the wide-angle end is set to ωw, the above-mentioned variable magnification optical system preferably satisfies the following conditional formula (20).

[0049] 2<Denw / {(fw×tanωw)×log(ft / fw)}<4.5 (20)

[0050] The variable power optical system of the above aspect preferably satisfies the following conditional expression (21), when Denw is the distance on the optical axis from the object side surface of the first lens to the paraxial entrance pupil position in a state where an infinitely distant object is focused at the wide angle end.

[0051] 0.5<Denw / (fw×ft) 1 / 2 <1 (21)

[0052] When the center thickness of the first lens is set to d1, the distance on the optical axis from the object side surface of the first lens when focusing on an infinitely distant object at the wide-angle end to the paraxial incident pupil position is set to Denw, and the maximum half viewing angle when focusing on an infinitely distant object at the wide-angle end is set to ωw, the above-mentioned variable magnification optical system preferably satisfies the following conditional formula (22).

[0053] 0.04<d1 / (Denw×tanωw)<0.09(22)

[0054] When the distance on the optical axis from the image plane to the paraxial exit pupil position in the state of focusing on an infinitely distant object at the wide-angle end is set to Dexw, in the sign of Dexw, the distance on the image side based on the image plane is set to positive, and the distance on the object side is set to negative, and when an optical component without refractive power is arranged between the image plane and the paraxial exit pupil position, when Dexw is calculated using the air conversion distance for the above-mentioned optical component, the above-mentioned variable magnification optical system preferably satisfies the following conditional formula (23).

[0055] -0.65<fw / Dexw<-0.2 (23)

[0056] When the effective diameter of the object-side surface of the first lens is EDf and the effective diameter of the most image-side lens surface of the final lens group is EDr, the variable power optical system of the above embodiment preferably satisfies the following conditional expression (24).

[0057] 1.5<EDf / EDr<3 (24)

[0058] When the effective diameter of the object-side surface of the first lens is EDf, the variable power optical system of the above aspect preferably satisfies the following conditional expression (25).

[0059] 0.35<EDf / TLw<0.65 (25)

[0060] The variable power optical system of the above aspect preferably satisfies the following conditional expression (26).

[0061] 2.2<ft / fw<4.8 (26)

[0062] When the refractive index of the first lens with respect to the d-line is NdL1 and the Abbe number of the first lens based on the d-line is vdL1, the variable power optical system of the above aspect preferably satisfies the following conditional expressions (27), (28) and (29).

[0063] 1.8<NdL1<2.01 (27)

[0064] 15<v dL1<45 (28)

[0065] 2<NdL1+0.01×v dL1<2.5(29)

[0066] When the refractive index of the second lens with respect to the d-line is NdL2 and the Abbe number of the second lens based on the d-line is vdL2, the variable power optical system of the above embodiment preferably satisfies the following conditional expressions (30), (31) and (32).

[0067] 1.43<NdL2<1.81 (30)

[0068] 45<v dL2<96 (31)

[0069] 2<NdL2+0.01×vdL2<2.5 (32)

[0070] The above-mentioned zoom optical system includes at least one focus group that moves during zooming and focusing. When the focal length of the focus group with the smallest absolute value of focal length among the focus groups included in the zoom optical system is set to ffoc, and the focal length of the middle group in the state of focusing on an infinitely distant object at the telephoto end is set to fMt, the following conditional formula (33) is preferably satisfied.

[0071] 0.3<|ffoc / fMt|<4 (33)

[0072] The above-mentioned variable power optical system includes at least one focusing group that moves during zooming and focusing, and preferably satisfies the following conditional formula (34) when the lateral magnification in a state where the focusing group with the largest absolute value of focal length among the focusing groups included in the variable power optical system is focused on an object at infinity at the telephoto end is set to βft, and the composite lateral magnification in a state where all lenses closer to the image side than the focusing group with the largest absolute value of focal length are focused on an object at infinity at the telephoto end is set to βfRt.

[0073] 1<|(1-βft 2 )×βfRt 2 |<8 (34)

[0074] One of the lens groups included in the intermediate group may be configured as a focus group that moves during zooming and focusing.

[0075] The focusing group can be constructed to include 1 positive lens and 2 negative lenses. In this structure, when the negative lens closest to the image side of the focusing group is an aspherical lens, the above-mentioned variable magnification optical system preferably satisfies the following conditional formula (35) when the paraxial curvature radius of the surface on the object side of the aspherical lens is set to Rcnf, the paraxial curvature radius of the surface on the image side of the aspherical lens is set to Rcnr, the curvature radius at the position of the maximum effective diameter of the surface on the object side of the aspherical lens is set to Rynf, and the curvature radius at the position of the maximum effective diameter of the surface on the image side of the aspherical lens is set to Rynr.

[0076] 0.1<(1 / Rcnf-1 / Rcnr) / (1 / Rynf-1 / Rynr)<3 (35)

[0077] The focusing group can be constructed to include 1 negative lens and 2 positive lenses. In this structure, when the positive lens closest to the image side of the focusing group is an aspherical lens, the above-mentioned variable magnification optical system preferably satisfies the following conditional formula (36) when the paraxial curvature radius of the surface on the object side of the aspherical lens is set to Rcpf, the paraxial curvature radius of the surface on the image side of the aspherical lens is set to Rcpr, the curvature radius at the position of the maximum effective diameter of the surface on the object side of the aspherical lens is set to Rypf, and the curvature radius at the position of the maximum effective diameter of the surface on the image side of the aspherical lens is set to Rypr.

[0078] -120<(1 / Rcpf-1 / Rcpr) / (1 / Rypf-1 / Rypr)<-3 (36)

[0079] The focusing group may be composed of one positive lens and one negative lens.

[0080] The focusing group may be configured to include one negative lens. In this configuration, when the negative lens of the focusing group is an aspherical lens, the above-described variable magnification optical system preferably satisfies the following conditional formula (37) when the paraxial curvature radius of the surface on the object side of the aspherical lens is set to Rcsnf, the paraxial curvature radius of the surface on the image side of the aspherical lens is set to Rcsnr, the curvature radius at the position of the maximum effective diameter of the surface on the object side of the aspherical lens is set to Rysnf, and the curvature radius at the position of the maximum effective diameter of the surface on the image side of the aspherical lens is set to Rysnr.

[0081] 0.1<(1 / Rcsnf-1 / Rcsnr) / (1 / Rysnf-1 / Rysnr)<3.5 (37)

[0082] Two lens groups among the lens groups included in the middle group may be configured as focus groups that move with the distance between them changing during zooming and focusing.

[0083] When the lens group arranged on the object side of the above-mentioned two lens groups as focusing groups is set as the object side focusing group and the lens group arranged on the image side is set as the image side focusing group, it can be constructed so that the object side focusing group includes 1 negative lens and 1 positive lens and the image side focusing group includes 1 positive lens.

[0084] When the positive lens of the image side focusing group is an aspheric lens, when the paraxial curvature radius of the object side surface of the above-mentioned aspheric lens is set to Rcipf, the paraxial curvature radius of the image side surface of the above-mentioned aspheric lens is set to Rcipr, the curvature radius at the position of the maximum effective diameter of the object side surface of the above-mentioned aspheric lens is set to Ryipf, and the curvature radius at the position of the maximum effective diameter of the image side surface of the above-mentioned aspheric lens is set to Ryipr, the above-mentioned variable magnification optical system preferably satisfies the following conditional formula (38).

[0085] 1<(1 / Rcipf-1 / Rcipr) / (1 / Ryipf-1 / Ryipr)<100 (38)

[0086] When the lens group arranged on the object side of the above-mentioned two lens groups as focusing groups is set as the object side focusing group and the lens group arranged on the image side is set as the image side focusing group, it can be constructed so that the object side focusing group includes 1 positive lens and 1 negative lens and the image side focusing group includes 1 negative lens.

[0087] When the negative lens of the image side focusing group is an aspheric lens, when the paraxial curvature radius of the object side surface of the aspheric lens is set to Rcinf, the paraxial curvature radius of the image side surface of the aspheric lens is set to Rcinr, the curvature radius at the position of the maximum effective diameter of the object side surface of the aspheric lens is set to Ryinf, and the curvature radius at the position of the maximum effective diameter of the image side surface of the aspheric lens is set to Ryinr, the above-mentioned variable magnification optical system preferably satisfies the following conditional formula (39).

[0088] 0.1<(1 / Rcinf-1 / Rcinr) / (1 / Ryinf-1 / Ryinr)<3.5 (39)

[0089] The variable power optical system of the above aspect may be configured to include a plurality of lens groups that move along the same movement trajectory when variable power is performed from the wide angle end to the telephoto end.

[0090] The middle group preferably includes the aperture stop on the side closest to the object.

[0091] The intermediate group may be constructed 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, and the final lens group has positive refractive power.

[0092] The final lens group may be configured to be fixed relative to the image plane during zooming.

[0093] When the final lens group is a positive lens including one aspheric lens, when the paraxial curvature radius of the object side surface of the aspheric lens is set to RcEpf, the paraxial curvature radius of the image side surface of the aspheric lens is set to RcEpr, the curvature radius at the position of the maximum effective diameter of the object side surface of the aspheric lens is set to RyEpf, and the curvature radius at the position of the maximum effective diameter of the image side surface of the aspheric lens is set to RyEpr, the above-mentioned variable magnification optical system preferably satisfies the following conditional formula (40).

[0094] 0.1<|(1 / RcEpf-1 / RcEpr) / (1 / RyEpf-1 / RyEpr)|<5 (40)

[0095] The final lens group may be configured to move during zooming.

[0096] The intermediate group may be configured to include, 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, and the final lens group has positive refractive power. In this structure, the final lens group may be configured to move when changing magnification.

[0097] The intermediate group may be configured to include, 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, and the final lens group has negative refractive power. In this structure, the final lens group may be configured to move when changing magnification.

[0098] The intermediate group may be configured to include, from the object side to the image side, a lens group with positive refractive power, a lens group with negative refractive power, and a lens group with negative refractive power, and the final lens group has positive refractive power. In this structure, the final lens group may be configured to move when changing the magnification.

[0099] The intermediate group may be configured 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 positive refractive power, and the final lens group has negative refractive power. In this structure, the final lens group may be configured to move when changing the magnification.

[0100] The intermediate group may be configured 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, and the final lens group has negative refractive power. In this structure, the final lens group may be configured to move when changing the magnification.

[0101] The intermediate group may be configured 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 negative refractive power, and the final lens group has positive refractive power. In this structure, the final lens group may be configured to move when changing the magnification.

[0102] The intermediate group may be configured 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, a lens group with negative refractive power, and a lens group with positive refractive power, and the final lens group has negative refractive power. In this structure, the final lens group may be configured to move when changing magnification.

[0103] An imaging device according to another aspect of the present invention includes the variable power optical system according to the above aspect of the present invention.

[0104] In addition, the words "including..." and "including..." in this specification mean that in addition to the listed constituent elements, it may also include lenses that essentially have no refractive power, optical elements other than lenses such as apertures, filters and cover glasses, and mechanical parts such as lens flanges, lens barrels, camera elements and hand-shake correction mechanisms.

[0105] The "group of ~ with positive refractive power" and "group of ~ with positive refractive power" in this specification mean that the group as a whole has positive refractive power. Similarly, the "group of ~ with negative refractive power" and "group of ~ with negative refractive power" mean that the group as a whole has negative refractive power. The "first lens group", "second lens group", "lens group", "final lens group" and "focusing group" in this specification are not limited to structures including multiple lenses, but may also be structures including only one lens.

[0106] A composite aspherical lens (a lens in which a spherical lens and a film having an aspherical shape formed on the spherical lens are integrated and function as a single aspherical lens as a whole) is not considered a cemented lens but is handled as a single lens. Unless otherwise specified, the sign of the refractive power and the surface shape related to the lens including an aspherical surface use the sign of the refractive power and the surface shape of the paraxial region. Regarding the sign of the radius of curvature, the sign of the radius of curvature of the convex shape facing the object side is set to positive, and the sign of the radius of curvature of the convex shape facing the image side is set to negative.

[0107] In this specification, "entire system" refers to the variable magnification optical system. The "focal length" used in the conditional expressions is the paraxial focal length. Unless otherwise specified, the "distance on the optical axis" used in the conditional expressions is a geometric distance. Unless otherwise specified, the values ​​used in the conditional expressions are values ​​based on the d line when focusing on an object at infinity.

[0108] The "d-line", "C-line", "F-line" and "g-line" described in this specification are bright lines. The wavelength of the d-line is considered to be 587.56nm (nanometers), the wavelength of the C-line is considered to be 656.27nm (nanometers), the wavelength of the F-line is considered to be 486.13nm (nanometers), and the wavelength of the g-line is considered to be 435.84nm (nanometers).

[0109] Effects of the Invention

[0110] According to the present invention, it is possible to provide a compact variable power optical system having a small F value in the entire variable power range and high optical performance in the entire variable power range, and an imaging device including the variable power optical system. BRIEF DESCRIPTION OF THE DRAWINGS

[0111] Figure 1 It is a cross-sectional view and a diagram showing a movement trajectory of a variable power optical system corresponding to the variable power optical system of Example 1 and according to an embodiment.

[0112] Figure 2 This is a diagram for explaining symbols of each conditional expression.

[0113] Figure 3 It is a diagram for explaining the effective diameter and the position of the maximum effective diameter.

[0114] Figure 4 1 and 2 are diagrams showing various aberrations of the variable power optical system of Example 1.

[0115] 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.

[0116] Figure 6 These are various aberration diagrams of the variable power optical system of Example 2.

[0117] 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.

[0118] Figure 8 1 and 10 are diagrams showing various aberrations of the variable power optical system of Example 3.

[0119] Fig. 9 It is a cross-sectional view showing the structure of the variable power optical system of Example 4 and a diagram of the movement trajectory.

[0120] Fig.10 These are various aberration diagrams of the variable power optical system of Example 4.

[0121] Fig.11 It is a cross-sectional view showing the structure of the variable power optical system of Example 5 and a diagram of the movement trajectory.

[0122] Fig.12These are various aberration diagrams of the variable power optical system of Example 5.

[0123] Fig.13 It is a cross-sectional view showing the structure of the variable power optical system of Example 6 and a diagram of the movement trajectory.

[0124] Fig.14 These are various aberration diagrams of the variable power optical system of Example 6.

[0125] Fig.15 It is a cross-sectional view showing the structure of the variable power optical system of Example 7 and a diagram of the movement trajectory.

[0126] Fig.16 These are various aberration diagrams of the variable power optical system of Example 7.

[0127] Fig.17 It is a cross-sectional view showing the structure of the variable power optical system of Example 8 and a diagram of the movement trajectory.

[0128] Fig.18 These are various aberration diagrams of the variable power optical system of Example 8.

[0129] Fig.19 It is a cross-sectional view showing the structure of the variable power optical system of Example 9 and a diagram of the movement trajectory.

[0130] Fig. 20 These are various aberration diagrams of the variable power optical system of Example 9.

[0131] Fig.21 It is a cross-sectional view showing the structure of the variable power optical system of Example 10 and a diagram of the movement trajectory.

[0132] Fig. 22 These are various aberration diagrams of the variable power optical system of Example 10.

[0133] Fig.23 It is a cross-sectional view showing the structure of the variable power optical system of Example 11 and a diagram of the movement trajectory.

[0134] Fig.24 These are various aberration diagrams of the variable power optical system of Example 11.

[0135] Fig.25 It is a cross-sectional view showing the structure of the variable power optical system of Example 12 and a diagram of the movement trajectory.

[0136] Fig.26 These are various aberration diagrams of the variable power optical system of Example 12.

[0137] Fig. 27 It is a cross-sectional view showing the structure of the variable power optical system of Example 13 and a diagram of the movement trajectory.

[0138] Fig.28 These are various aberration diagrams of the variable power optical system of Example 13.

[0139] Fig.29 It is a cross-sectional view showing the structure of the variable power optical system of Example 14 and a diagram of the movement trajectory.

[0140] Fig.30 These are various aberration diagrams of the variable power optical system of Example 14.

[0141] Fig.31 It is a cross-sectional view showing the structure of the variable power optical system of Example 15 and a diagram of the movement trajectory.

[0142] Fig.32 These are various aberration diagrams of the variable power optical system of Example 15.

[0143] Fig.33 It is a cross-sectional view showing the structure of the variable power optical system of Example 16 and a diagram of the movement trajectory.

[0144] Fig.34 These are various aberration diagrams of the variable power optical system of Example 16.

[0145] Fig.35 It is a cross-sectional view showing the structure of the variable power optical system of Example 17 and a diagram of the movement trajectory.

[0146] Fig.36 These are various aberration diagrams of the variable power optical system of Example 17.

[0147] Fig.37 It is a cross-sectional view showing the structure of the variable power optical system of Example 18 and a diagram of the movement trajectory.

[0148] Fig.38 These are various aberration diagrams of the variable power optical system of Example 18.

[0149] Fig.39 It is a cross-sectional view showing the structure of the variable power optical system of Example 19 and a diagram of the movement trajectory.

[0150] Fig.40 These are various aberration diagrams of the variable power optical system of Example 19.

[0151] Fig.41 It is a cross-sectional view showing the structure of the variable power optical system of Example 20 and a diagram of the movement trajectory.

[0152] Fig.42 These are various aberration diagrams of the variable power optical system of Example 20.

[0153] Fig.43 This is a perspective view of the front side of the imaging device according to one embodiment.

[0154] Fig.44 This is a perspective view of the back side of the imaging device according to one embodiment. DETAILED DESCRIPTION

[0155] Hereinafter, embodiments of the present invention will be described with reference to the drawings.

[0156] exist Figure 1 A cross-sectional view of the structure and movement trajectory of a variable magnification optical system according to an embodiment of the present invention are shown in FIG. Figure 1 , the upper section labeled “Wide” shows the wide-angle end state, and the lower section labeled “Tele” shows the telephoto end state. Figure 1 The example shown corresponds to the variable magnification optical system of Example 1 described later. Figure 1 The figure shows 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. Figure 1 , an axial light beam wa at the wide-angle end and a light beam wb of a maximum half viewing angle ωw, and an axial light beam ta at the telephoto end and a light beam tb of a maximum half viewing angle ωt are also shown.

[0157] The zoom optical system of the present invention includes, in order from the object side to the image side along the optical axis Z, a first lens group G1 having positive refractive power, a second lens group G2 having negative refractive power, an intermediate group GM, and a final lens group GE having refractive power. The intermediate group GM includes more than one and less than five lens groups. By setting the first lens group G1 as a lens group having positive refractive power, the total length can be shortened, which is beneficial for achieving both miniaturization and high zoom ratio. Furthermore, by setting the first lens group G1 as a lens group having positive refractive power, the height of the light incident on the second lens group G2 becomes lower, which is beneficial for suppressing aberration changes during zooming.

[0158] The aperture stop St is arranged between the lens surface closest to the image side of the second lens group G2 and the lens surface closest to the object side of the final lens group GE. According to this structure, the aperture unit can be miniaturized, which contributes to miniaturization of the entire optical system.

[0159] When zooming, 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, and the interval between the intermediate group GM and the final lens group GE changes. In the case where the intermediate group GM includes multiple lens groups, when zooming, all the intervals between adjacent lens groups in the intermediate group GM change. By changing the intervals between multiple groups when zooming, it is beneficial to suppress various aberrations in the entire zoom range.

[0160] 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 including 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 mutual spacing of the lenses in each lens group remains unchanged. That is, in this specification, a group whose spacing with adjacent groups changes when zooming and whose adjacent lenses remain unchanged within itself is set 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.

[0161] As an example, Figure 1 The variable power optical system shown 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 .

[0162] 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.

[0163] As an example, Figure 1 The lens groups are constructed as follows. The first lens group G1 includes three lenses, namely lenses L11 to L13, in order from the object side to the image side. The second lens group G2 includes four lenses, namely lenses L21 to L24, in order from the object side to the image side. The third lens group G3 includes six lenses, namely aperture stop St and lenses L31 to L36, in order from the object side to the image side. The fourth lens group G4 includes two lenses, namely lenses L41 to L42, in order from the object side to the image side. The fifth lens group G5 includes one lens, namely lens L51. In addition, Figure 1 The aperture stop St indicates the position in the optical axis direction, not the shape and size.

[0164] exist Figure 1 In the example of , when changing magnification, the first lens group G1, the second lens group G2, the third lens group G3 and the fourth lens group G4 change the intervals between the adjacent lens groups and move along the optical axis Z, and the fifth lens group G5 is fixed relative to the image plane Sim. Figure 1 In FIG. 1 , regarding the moving lens groups, the arrows between the upper and lower sections indicate approximate movement trajectories of the lens groups when zooming from the wide-angle end to the telephoto end.

[0165] In the zoom optical system of the present invention, the first lens group G1 includes a first lens as a negative lens and a second lens as a positive lens in order from the side closest to the object to the image side. According to this structure, it is easy to correct the aberration in the first lens group G1, which is conducive to suppressing the aberration change when zooming. In addition, by configuring a negative lens on the side closest to the object, it is easy to correct the aberration when shortening the focal length at the wide-angle end. Figure 1 In the example of , the lens L11 corresponds to the first lens, and the lens L12 corresponds to the second lens.

[0166] For example, the first lens group G1 may include a negative lens, a positive lens, and a positive lens in order from the object side to the image side. Also, for example, the second lens group G2 may include a negative lens, a negative lens, a positive lens, and a negative lens in order from the object side to the image side.

[0167] The middle group GM can be configured to include a lens group with positive refractive power and a lens group with negative refractive power in order from the object side to the image side, and the last lens group GE has positive refractive power. In this case, it is advantageous to simplify the lens drive mechanism and improve performance.

[0168] The middle group GM preferably includes an aperture stop St on the side closest to the object. In this case, the aperture stop St can be brought closer to the first lens group G1, so the distance from the lens surface closest to the object side of the first lens group G1 to the entrance pupil position can be shortened. This is conducive to reducing the diameter of the first lens group G1.

[0169] The final lens group GE may be configured to be fixed relative to the image plane Sim during the magnification change. In this case, the drive mechanism of the lens group can be simplified.

[0170] The final lens group GE may be configured to include one positive lens that is an aspherical lens. In this case, it is advantageous to achieve both simplification and high performance of the lens drive mechanism.

[0171] The variable magnification optical system of the present invention may be configured to include at least one focus group that moves during magnification and focusing. Focusing is performed by moving the focus group. Figure 1 In the example, the focusing group includes the fourth lens group G4.

[0172] Figure 1 The brackets and rightward arrow under the 4th lens group G4 indicate that the 4th lens group G4 is a focusing group that moves toward the image side when focusing from an object at infinity to the nearest object. In addition, the 4th lens group G4 functions as a focusing group in the entire zoom range, but Figure 1 In order to avoid complicating the figure, only the brackets and arrows indicating the focus groups are marked in the figure in the lower section.

[0173] One of the lens groups included in the middle group GM can be configured as a focus group that moves when changing magnification and focusing. By arranging the focus group in the middle group GM, the focus group can be miniaturized, which contributes to miniaturization of the entire optical system.

[0174] As an example, Figure 1 As shown, the focus group may be composed of one positive lens and one negative lens. In this case, by reducing the number of lenses in the focus group, it is advantageous to simplify the mechanism for controlling the focus group and facilitate rapid focusing.

[0175] Alternatively, the focus group may be configured to include one negative lens. In this case, by further reducing the number of lenses in the focus group, it is advantageous to simplify the mechanism for controlling the focus group, and it is easier to focus quickly. In this case, the negative lens of the focus group may be configured as an aspherical lens. In this case, it is possible to suppress aberration changes during focusing, which is more conducive to high performance.

[0176] The focus group may be composed of one positive lens and two negative lenses. In this case, the aberration variation during focusing can be suppressed, which is conducive to high performance. In this case, the negative lens closest to the image side of the focus group may be an aspherical lens. In this case, the aberration variation during focusing can be suppressed, which is more conducive to high performance.

[0177] The focus group may be composed of one negative lens and two positive lenses. In this case, the aberration variation during focusing can be suppressed, which is conducive to high performance. In this case, the positive lens closest to the image side of the focus group may be an aspherical lens. In this case, the aberration variation during focusing can be suppressed, which is more conducive to high performance.

[0178] The two lens groups included in the middle group GM can be configured as a focus group that changes the distance between them when changing the magnification and focusing. By configuring the focus group in the middle group GM, the focus group can be miniaturized, which is conducive to the miniaturization of the entire optical system. In addition, by adopting a floating focus method and focusing by two lens groups, the aberration change during focusing can be well suppressed.

[0179] In the structure in which two lens groups in the lens groups included in the middle group GM are focus groups that change the distance between each other and move when changing magnification and focusing, the lens group arranged on the object side of the two lens groups as focus groups is called the object side focus group, and the lens group arranged on the image side is called the image side focus group.

[0180] The object side focus group may be configured to include one negative lens and one positive lens, and the image side focus group may be configured to include one positive lens. In this case, the aberration variation during focusing can be suppressed, which is conducive to high performance. In this case, the positive lens of the image side focus group may be configured as an aspherical lens. In this case, the aberration variation during focusing can be suppressed, which is more conducive to high performance.

[0181] The object side focus group may include one positive lens and one negative lens, and the image side focus group may include one negative lens. In this case, aberration fluctuations during focusing can be suppressed, which is advantageous for high performance.

[0182] In this case, the negative lens of the image side focus group may be an aspherical lens. In this case, aberration fluctuations during focusing can be suppressed, which is more conducive to high performance.

[0183] Next, the preferred structure related to the conditional formula of the variable power optical system of the present invention is described. In addition, in the description related to the following conditional formula, in order to avoid redundant description, the same symbols are used for the parts with the same definition, and the repeated description of some symbols is omitted. Furthermore, in order to avoid redundant description, the "variable power optical system of the present invention" is also referred to as the "variable power optical system" below.

[0184] The zoom optical system preferably satisfies the following conditional expression (1). Here, the distance on the optical axis from the object side surface of the first lens to the aperture stop St in the state of focusing on an infinite object at the wide angle end is set as DDL1STw. The sum of the distance on the optical axis from the object side surface of the first lens to the lens surface closest to the image side of the final lens group GE in the state of focusing on an infinite object at the wide angle end and the back focal length of the entire system measured in air conversion distance is set as TLw. In addition, the "back focal length of the entire system measured in air conversion distance" is the air conversion distance on the optical axis from the lens surface closest to the image side of the entire system to the image plane Sim. TLw is the total length in the state of focusing on an infinite object at the wide angle end. By making the corresponding value of conditional expression (1) not less than the lower limit, the distance between the aperture stop St and the first lens group G1 will not become too short, and therefore the distance from the object side surface of the first lens 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 (1) not exceed the upper limit, the distance between the aperture stop St and the first lens group G1 will not be too far apart, so the distance from the object side surface of the first lens to the entrance pupil position will not become too long. As a result, the enlargement of the diameter of the first lens group G1 can be suppressed, so it is easy to miniaturize. In order to obtain better characteristics, the variable power optical system more preferably satisfies the following conditional expression (1-1), further preferably satisfies the following conditional expression (1-2), further preferably satisfies the following conditional expression (1-3), and further preferably satisfies the following conditional expression (1-4).

[0185] 0<DDL1STw / TLw<0.5 (1)

[0186] 0.05<DDL1STw / TLw<0.46 (1-1)

[0187] 0.1<DDL1STw / TLw<0.43 (1-2)

[0188] 0.15<DDL1STw / TLw<0.41 (1-3)

[0189] 0.2<DDL1STw / TLw<0.39 (1-4)

[0190] exist Figure 2 Shown in Figure 1 The cross-sectional view of the variable power optical system shows the distance DDL1STw and the total length TLw in the variable power optical system as an example. Figure 2 , the upper section labeled “Wide” shows the wide-angle end state, and the lower section labeled “Tele” shows the telephoto end state.

[0191] The zoom optical system preferably satisfies the following conditional expression (2). 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 telephoto end is set to ft. 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 (2) not 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 (2) not above the upper limit, it is easy to maintain a small F value at the telephoto end, which is beneficial to obtain sufficient brightness at the telephoto end. In order to obtain better characteristics, the zoom optical system preferably satisfies the following conditional expression (2-1), further preferably satisfies the following conditional expression (2-2), further preferably satisfies the following conditional expression (2-3), and further preferably satisfies the following conditional expression (2-4).

[0192] 0.5<Fnot / (ft / fw)<1.3 (2)

[0193] 0.6<Fnot / (ft / fw)<1.2 (2-1)

[0194] 0.7<Fnot / (ft / fw)<1.2 (2-2)

[0195] 0.8<Fnot / (ft / fw)<1.1 (2-3)

[0196] 0.9<Fnot / (ft / fw)<1.1 (2-4)

[0197] The variable magnification optical system preferably satisfies the following conditional expression (3). Here, the back focal length of the entire system at the wide-angle end in terms of air-converted distance is set to Bfw. The maximum half angle of view when focusing on an infinitely distant object at the telephoto end is set to ωt. Tan is a tangent. As an example, Figure 2 The back focal length Bfw is shown in . By making the corresponding value of conditional expression (3) not less than the lower limit, the back focal length will not become too short, so it is easy to install the bayonet replacement mechanism. By making the corresponding value of conditional expression (3) not more than the upper limit, the back focal length will not become too long, so it is easy to miniaturize. In order to obtain better characteristics, the zoom optical system preferably satisfies the following conditional expression (3-1), further preferably satisfies the following conditional expression (3-2), further preferably satisfies the following conditional expression (3-3), and further preferably satisfies the following conditional expression (3-4).

[0198] 0.15<Bfw / (ft×tanωt)<2 (3)

[0199] 0.2<Bfw / (ft×tanωt)<1.7 (3-1)

[0200] 0.25<Bfw / (ft×tanωt)<1.4 (3-2)

[0201] 0.3<Bfw / (ft×tanωt)<1.1 (3-3)

[0202] 0.35<Bfw / (ft×tanωt)<0.8 (3-4)

[0203] The variable power optical system preferably satisfies the following conditional formula (4). By making the corresponding value of conditional formula (4) not be below the lower limit, it is beneficial to suppress various aberrations. By making the corresponding value of conditional formula (4) not be above the upper limit, it is easy to obtain a wide viewing angle at the wide-angle end. In order to obtain better characteristics, the variable power optical system more preferably satisfies the following conditional formula (4-1), further preferably satisfies the following conditional formula (4-2), further preferably satisfies the following conditional formula (4-3), and further preferably satisfies the following conditional formula (4-4).

[0204] 1<fw / (ft×tanωt)<1.4 (4)

[0205] 1.05<fw / (ft×tanωt)<1.35 (4-1)

[0206] 1.05<fw / (ft×tanωt)<1.3 (4-2)

[0207] 1.05<fw / (ft×tanωt)<1.25 (4-3)

[0208] 1.1<fw / (ft×tanωt)<1.2 (4-4)

[0209] The zoom optical system preferably satisfies the following conditional expression (5). Here, the focal length of the first lens group G1 is set to f1. The composite focal length of the optical system from the first lens to the aperture stop St in a state of focusing on an infinitely distant object at the wide-angle end is set to fL1STw. By making the corresponding value of the conditional expression (5) not below the lower limit, the refractive power of the first lens group G1 will not become too weak, and thus the miniaturization of the first lens group G1 becomes easy. By making the corresponding value of the conditional expression (5) not above the upper limit, the refractive power of the first lens group G1 will not become too strong, and thus it is easy to suppress aberration changes during zooming. In order to obtain better characteristics, the zoom optical system more preferably satisfies the following conditional expression (5-1), further preferably satisfies the following conditional expression (5-2), further preferably satisfies the following conditional expression (5-3), and further preferably satisfies the following conditional expression (5-4).

[0210] -6.6<f1 / fL1STw<-1.5 (5)

[0211] -6.2<f1 / fL1STw<-1.8 (5-1)

[0212] -5.8<f1 / fL1STw<-2.1 (5-2)

[0213] -5.4<f1 / fL1STw<-2.4 (5-3)

[0214] -5<f1 / fL1STw<-2.7 (5-4)

[0215] When the focal length of the first lens is set to fL1, the zoom optical system preferably satisfies the following conditional expression (6). By making the corresponding value of conditional expression (6) not less than the lower limit, the refractive power of the negative lens closest to the object side will not become too strong, so it is easy to suppress high-order aberrations at the telephoto end. Alternatively, since the refractive power of the first lens group G1 will not become too weak, it is easy to miniaturize the first lens group G1. In addition, in this specification, "high-order" aberrations refer to 5 orders or more. By making the corresponding value of conditional expression (6) not more than the upper limit, the refractive power of the first lens group G1 will not become too strong, so it is easy to suppress aberration changes during zooming. Alternatively, the refractive power of the negative lens closest to the object side will not become too weak, so it is easy to suppress axial chromatic aberration at the telephoto end. In order to obtain better characteristics, the variable magnification optical system preferably satisfies the following conditional formula (6-1), further preferably satisfies the following conditional formula (6-2), further preferably satisfies the following conditional formula (6-3), and further preferably satisfies the following conditional formula (6-4).

[0216] -0.9<f1 / fL1<-0.05 (6)

[0217] -0.8<f1 / fL1<-0.05 (6-1)

[0218] -0.7<f1 / fL1<-0.1 (6-2)

[0219] -0.7<f1 / fL1<-0.15 (6-3)

[0220] -0.6<f1 / fL1<-0.2 (6-4)

[0221] The variable power optical system preferably satisfies the following conditional formula (7). By making the corresponding value of conditional formula (7) not be below the lower limit, it is beneficial to suppress various aberrations. By making the corresponding value of conditional formula (7) not be above the upper limit, it is easy to obtain a wide viewing angle at the wide-angle end. In order to obtain better characteristics, the variable power optical system more preferably satisfies the following conditional formula (7-1), further preferably satisfies the following conditional formula (7-2), further preferably satisfies the following conditional formula (7-3), and further preferably satisfies the following conditional formula (7-4).

[0222] -1.4<fw / fL1STw<-0.3 (7)

[0223] -1.3<fw / fL1STw<-0.4 (7-1)

[0224] -1.2<fw / fL1STw<-0.5 (7-2)

[0225] -1.1<fw / fL1STw<-0.6 (7-3)

[0226] -1<fw / fL1STw<-0.7 (7-4)

[0227] The zoom optical system preferably satisfies the following conditional formula (8). By making the corresponding value of conditional formula (8) not be below the lower limit, it is easy to suppress various aberrations in the entire zoom area. By making the corresponding value of conditional formula (8) not be above the upper limit, it is beneficial to the miniaturization of the overall optical system. In order to obtain better characteristics, the zoom optical system more preferably satisfies the following conditional formula (8-1), further preferably satisfies the following conditional formula (8-2), further preferably satisfies the following conditional formula (8-3), and further preferably satisfies the following conditional formula (8-4).

[0228] 2<TLw / (ft×tanωt)<9 (8)

[0229] 2.5<TLw / (ft×tanωt)<8 (8-1)

[0230] 3<TLw / (ft×tanωt)<7.5 (8-2)

[0231] 3.5<TLw / (ft×tanωt)<7 (8-3)

[0232] 4<TLw / (ft×tanωt)<6.5 (8-4)

[0233] The zoom optical system preferably satisfies the following conditional expression (9). 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 expression (9) not below the lower limit, it is beneficial to achieve a high zoom ratio. By making the corresponding value of the conditional expression (9) not 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 expression (9-1), further preferably satisfies the following conditional expression (9-2), further preferably satisfies the following conditional expression (9-3), and further preferably satisfies the following conditional expression (9-4).

[0234] 1.1<β2t / β2w<3 (9)

[0235] 1.2<β2t / β2w<2.7 (9-1)

[0236] 1.2<β2t / β2w<2.4 (9-2)

[0237] 1.3<β2t / β2w<2.1 (9-3)

[0238] 1.3<β2t / β2w<1.9 (9-4)

[0239] The variable power optical system preferably satisfies the following conditional expression (10). Here, the distance on the optical axis between the first lens group G1 and the second lens group G2 in the state of focusing on an infinitely distant object at the wide-angle end is set to DDG12w. The distance on the optical axis between the first lens group G1 and the second lens group G2 in the state of focusing on an infinitely distant object at the telephoto end is set to DDG12t. The sum of the distance on the optical axis from the object-side surface of the first lens 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 measured in terms of air conversion distance is set to TLt. 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 above-mentioned interval DDG12w, interval DDG12t and total length TLt are shown in the figure. By ensuring that the corresponding value of conditional formula (10) is not below the lower limit, it is beneficial to ensure an effective magnification ratio. By ensuring that the corresponding value of conditional formula (10) is not above the upper limit, it is beneficial to suppress the change of the center of gravity position during magnification. In addition, it is beneficial to suppress the distortion aberration during magnification. In order to obtain better characteristics, the zoom optical system preferably satisfies the following conditional formula (10-1), further preferably satisfies the following conditional formula (10-2), further preferably satisfies the following conditional formula (10-3), and further preferably satisfies the following conditional formula (10-4).

[0240] 0.1<|DDG12w-DDG12t| / TLt<0.3 (10)

[0241] 0.12<|DDG12w-DDG12t| / TLt<0.28 (10-1)

[0242] 0.13<|DDG12w-DDG12t| / TLt<0.26 (10-2)

[0243] 0.15<|DDG12w-DDG12t| / TLt<0.23 (10-3)

[0244] 0.16<|DDG12w-DDG12t| / TLt<0.2 (10-4)

[0245] The zoom optical system preferably satisfies the following conditional formula (11). By making the corresponding value of conditional formula (11) not less than the lower limit, the movable area of ​​the second lens group G2 during zooming will not become too short, so it is easy to achieve a high zoom ratio. Alternatively, since the refractive power of the first lens group G1 will not become too weak, it is easy to take into account both miniaturization and high zoom ratio. By making the corresponding value of conditional formula (11) not more than the upper limit, the distance from the object side surface of the first lens on the wide-angle side 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, so miniaturization is easy to achieve. Alternatively, since the refractive power of the first lens group G1 will not become too strong, it is easy to achieve high performance. In order to obtain better characteristics, the zoom optical system preferably satisfies the following conditional formula (11-1), further preferably satisfies the following conditional formula (11-2), further preferably satisfies the following conditional formula (11-3), and further preferably satisfies the following conditional formula (11-4).

[0246] 0.2<DDL1STw / f1<0.8 (11)

[0247] 0.25<DDL1STw / f1<0.7 (11-1)

[0248] 0.25<DDL1STw / f1<0.65 (11-2)

[0249] 0.25<DDL1STw / f1<0.6 (11-3)

[0250] 0.3<DDL1STw / f1<0.55 (11-4)

[0251] When the maximum half viewing angle in the state of focusing on an infinitely distant object at the wide-angle end is set to ωw, the zoom optical system preferably satisfies the following conditional expression (12). By making the corresponding value of conditional expression (12) not be less than the lower limit, the distance from the object side surface of the first lens on the wide-angle side to the entrance pupil position will not become too short, so it is easy to suppress the aberration change during zooming.

[0252] By making the corresponding value of conditional expression (12) not exceed the upper limit, the distance from the object side surface of the first lens on the wide-angle side to the entrance pupil position will not become too long, so that the enlargement of the diameter of the first lens group G1 can be suppressed, and it is easy to achieve miniaturization. In order to obtain better characteristics, the variable power optical system more preferably satisfies the following conditional expression (12-1), further preferably satisfies the following conditional expression (12-2), further preferably satisfies the following conditional expression (12-3), and further preferably satisfies the following conditional expression (12-4).

[0253] 3<DDL1STw / {(fw×tanωw)×log(ft / fw)}<9 (12)

[0254] 3.5<DDL1STw / {(fw×tanωw)×log(ft / fw)}<8 (12-1)

[0255] 3.5<DDL1STw / {(fw×tanωw)×log(ft / fw)}<7.5 (12-2)

[0256] 3.5<DDL1STw / {(fw×tanωw)×log(ft / fw)}<7 (12-3)

[0257] 4<DDL1STw / {(fw×tanωw)×log(ft / fw)}<6.5 (12-4)

[0258] The variable power optical system preferably satisfies the following conditional formula (13). By making the corresponding value of conditional formula (13) not be less than the lower limit, it is easy to suppress various aberrations at the wide-angle end. By making the corresponding value of conditional formula (13) not be more than the upper limit, it is easy to shorten the total length at the wide-angle end. In order to obtain better characteristics, the variable power optical system more preferably satisfies the following conditional formula (13-1), further preferably satisfies the following conditional formula (13-2), further preferably satisfies the following conditional formula (13-3), and further preferably satisfies the following conditional formula (13-4).

[0259] 3<TLw / fw<8 (13)

[0260] 3.5<TLw / fw<7.5 (13-1)

[0261] 3.5<TLw / fw<7 (13-2)

[0262] 4<TLw / fw<6.5 (13-3)

[0263] 4<TLw / fw<6 (13-4)

[0264] The variable power optical system preferably satisfies the following conditional formula (14). By making the corresponding value of conditional formula (14) not be below the lower limit, it is easy to suppress various aberrations at the telephoto end. By making the corresponding value of conditional formula (14) not be above the upper limit, it is easy to shorten the total length at the telephoto end. In order to obtain better characteristics, the variable power optical system more preferably satisfies the following conditional formula (14-1), further preferably satisfies the following conditional formula (14-2), further preferably satisfies the following conditional formula (14-3), and further preferably satisfies the following conditional formula (14-4).

[0265] 1.5<TLt / ft<3 (14)

[0266] 1.65<TLt / ft<2.85 (14-1)

[0267] 1.8<TLt / ft<2.7 (14-2)

[0268] 1.95<TLt / ft<2.7 (14-3)

[0269] 2.05<TLt / ft<2.55 (14-4)

[0270] The variable power optical system preferably satisfies the following conditional formula (15). By making the corresponding value of conditional formula (15) not be less than the lower limit, the on-axis light beam ta can be slowly converged toward the image plane Sim at the telephoto end, thereby suppressing the on-axis chromatic aberration generated when the light beam is converged. By making the corresponding value of conditional formula (15) not be more than the upper limit, it is easy to shorten the total length at the telephoto end. In order to obtain better characteristics, the variable power optical system more preferably satisfies the following conditional formula (15-1), further preferably satisfies the following conditional formula (15-2), further preferably satisfies the following conditional formula (15-3), and further preferably satisfies the following conditional formula (15-4).

[0271] 5<TLt / (ft×tanωt)<11 (15)

[0272] 5.5<TLt / (ft×tanωt)<10.5 (15-1)

[0273] 6<TLt / (ft×tanωt)<10 (15-2)

[0274] 6<TLt / (ft×tanωt)<9 (15-3)

[0275] 6.5<TLt / (ft×tanωt)<8.5 (15-4)

[0276] The zoom optical system preferably satisfies the following conditional formula (16). By making the corresponding value of conditional formula (16) not be less than the lower limit, the refractive power of the first lens group G1 will not become too strong, so it is easy to suppress the aberration change during zooming. By making the corresponding value of conditional formula (16) not be more than the upper limit, the refractive power of the first lens group G1 will not become too weak, so it is easy to miniaturize the first lens group G1. In order to obtain better characteristics, the zoom optical system more preferably satisfies the following conditional formula (16-1), further preferably satisfies the following conditional formula (16-2), further preferably satisfies the following conditional formula (16-3), and further preferably satisfies the following conditional formula (16-4).

[0277] 3<f1 / fw<7 (16)

[0278] 3.5<f1 / fw<6.5 (16-1)

[0279] 3.5<f1 / fw<6 (16-2)

[0280] 4<f1 / fw<6 (16-3)

[0281] 4<f1 / fw<5.5 (16-4)

[0282] When the focal length of the second lens group G2 is set to f2, the zoom optical system preferably satisfies the following conditional formula (17). By making the corresponding value of conditional formula (17) not less than the lower limit, the refractive power of the second lens group G2 will not become too weak, so it is easy to suppress the movement of the second lens group G2 during zooming. By making the corresponding value of conditional formula (17) not more than the upper limit, the refractive power of the first lens group G1 will not become too weak, so it is easy to suppress 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 (17-1), further preferably satisfies the following conditional formula (17-2), further preferably satisfies the following conditional formula (17-3), and further preferably satisfies the following conditional formula (17-4).

[0283] 3<f1 / (-f2)<9 (17)

[0284] 3.5<f1 / (-f2)<8.5 (17-1)

[0285] 4<f1 / (-f2)<8 (17-2)

[0286] 4<f1 / (-f2)<7.5 (17-3)

[0287] 4.5<f1 / (-f2)<7 (17-4)

[0288] The variable power optical system preferably satisfies the following conditional formula (18). By making the corresponding value of conditional formula (18) not be less than the lower limit, it is conducive to high performance. By making the corresponding value of conditional formula (18) not be more than the upper limit, the refractive power of the first lens group G1 will not become too weak, so it is easy to miniaturize the first lens group G1. In order to obtain better characteristics, the variable power optical system more preferably satisfies the following conditional formula (18-1), further preferably satisfies the following conditional formula (18-2), further preferably satisfies the following conditional formula (18-3), and further preferably satisfies the following conditional formula (18-4).

[0289] 2<f1 / (ft / Fnot)<7 (18)

[0290] 2.5<f1 / (ft / Fnot)<6.5 (18-1)

[0291] 3<f1 / (ft / Fnot)<6.5 (18-2)

[0292] 3.5<f1 / (ft / Fnot)<6 (18-3)

[0293] 4<f1 / (ft / Fnot)<6 (18-4)

[0294] The zoom optical system preferably satisfies the following conditional formula (19). By making the corresponding value of conditional formula (19) not be less than the lower limit, the refractive power of the first lens group G1 will not become too strong, so it is easy to suppress the aberration change during zooming. By making the corresponding value of conditional formula (19) 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 miniaturization. In order to obtain better characteristics, the zoom optical system more preferably satisfies the following conditional formula (19-1), further preferably satisfies the following conditional formula (19-2), further preferably satisfies the following conditional formula (19-3), and further preferably satisfies the following conditional formula (19-4).

[0295] 1.8<f1 / (fw×ft) 1 / 2 <4.2 (19)

[0296] 1.9<f1 / (fw×ft) 1 / 2 <4.1 (19-1)

[0297] 2<f1 / (fw×ft) 1 / 2 <4 (19-2)

[0298] 2.1<f1 / (fw×ft) 1 / 2 <3.9 (19-3)

[0299] 2.2<f1 / (fw×ft) 1 / 2 <3.8 (19-4)

[0300] The variable magnification optical system preferably satisfies the following conditional expression (20). Here, the distance on the optical axis from the object side surface of the first lens to the paraxial entrance pupil position Penw in a state where the lens is focused on an infinitely distant object at the wide angle end is Denw. As an example, Figure 2The above distance Denw and the paraxial incident pupil position Penw are shown in . By making the corresponding value of conditional expression (20) not less than the lower limit, the distance from the object side surface of the first lens on the wide-angle side to the incident pupil position will not become too short, so it is easy to suppress the aberration change during magnification. By making the corresponding value of conditional expression (20) not more than the upper limit, the distance from the object side surface of the first lens on the wide-angle side to the incident pupil position will not become too long, so the enlargement of the diameter of the first lens group G1 can be suppressed, so it is easy to achieve miniaturization. In order to obtain better characteristics, the zoom optical system preferably satisfies the following conditional expression (20-1), further preferably satisfies the following conditional expression (20-2), further preferably satisfies the following conditional expression (20-3), and further preferably satisfies the following conditional expression (20-4).

[0301] 2<Denw / {(fw×tanωw)×log(ft / fw)}<4.5 (20)

[0302] 2.2<Denw / {(fw×tanωw)×log(ft / fw)}<4.2 (20-1)

[0303] 2.4<Denw / {(fw×tanωw)×log(ft / fw)}<3.9 (20-1)

[0304] 2.4<Denw / {(fw×tanωw)×log(ft / fw)}<3.6 (20-1)

[0305] 2.6<Denw / {(fw×tanωw)×log(ft / fw)}<3.3 (20-1)

[0306] The zoom optical system preferably satisfies the following conditional formula (21). By making the corresponding value of conditional formula (21) not less than the lower limit, the distance from the object side surface of the first lens to the entrance pupil position will not become too short, so it is easy to suppress the aberration change during zooming. By making the corresponding value of conditional formula (21) not more than the upper limit, the distance from the object side surface of the first lens 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, and miniaturization is easy to achieve. In order to obtain better characteristics, the zoom optical system more preferably satisfies the following conditional formula (21-1), further preferably satisfies the following conditional formula (21-2), further preferably satisfies the following conditional formula (21-3), and further preferably satisfies the following conditional formula (21-4).

[0307] 0.5<Denw / (fw×ft) 1 / 2 <1 (21)

[0308] 0.55<Denw / (fw×ft)1 / 2 <0.95 (21-1)

[0309] 0.6<Denw / (fw×ft) 1 / 2 <0.9 (21-2)

[0310] 0.65<Denw / (fw×ft) 1 / 2 <0.85 (21-3)

[0311] 0.7<Denw / (fw×ft) 1 / 2 <0.85 (21-4)

[0312] When the center thickness of the first lens is set to d1, the variable power optical system preferably satisfies the following conditional formula (22). By making the corresponding value of the conditional formula (22) not be less than the lower limit, it is beneficial to ensure the strength of the first lens. By making the corresponding value of the conditional formula (22) not be more than the upper limit, it is beneficial 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 formula (22-1), further preferably satisfies the following conditional formula (22-2), further preferably satisfies the following conditional formula (22-3), and further preferably satisfies the following conditional formula (22-4).

[0313] 0.04<d1 / (Denw×tanωw)<0.09 (22)

[0314] 0.045<d1 / (Denw×tanωw)<0.085 (22-1)

[0315] 0.05<d1 / (Denw×tanωw)<0.085 (22-2)

[0316] 0.055<d1 / (Denw×tanωw)<0.08 (22-3)

[0317] 0.055<d1 / (Denw×tanωw)<0.075 (22-4)

[0318] The variable magnification optical system preferably satisfies the following conditional expression (23). Here, the distance on the optical axis from the image plane Sim to the paraxial exit pupil position Pexw in the state of focusing on an infinitely distant object at the wide-angle end is set to Dexw. In the sign of Dexw, the distance on the image side is set to positive, and the distance on the object side is set to negative, with the image plane Sim as a reference. Furthermore, when an optical component without refractive power is arranged between the image plane Sim and the paraxial exit pupil position Pexw, Dexw is calculated using the air conversion distance for the optical component. As an example, Figure 2The above distance Dexw and the paraxial exit pupil position Pexw are shown in . By making the corresponding value of conditional expression (23) not less than the lower limit, it is easy to shorten the total length, which is beneficial to miniaturization. By making the corresponding value of conditional expression (23) not more than the upper limit, it is easy to reduce the angle of the off-axis main light incident on the image plane Sim, which is beneficial to ensure the peripheral light amount. In order to obtain better characteristics, the zoom optical system preferably satisfies the following conditional expression (23-1), further preferably satisfies the following conditional expression (23-2), further preferably satisfies the following conditional expression (23-3), and further preferably satisfies the following conditional expression (23-4).

[0319] -0.65<fw / Dexw<-0.2 (23)

[0320] -0.6<fw / Dexw<-0.2 (23-1)

[0321] -0.55<fw / Dexw<-0.2 (23-2)

[0322] -0.55<fw / Dexw<-0.25 (23-3)

[0323] -0.5<fw / Dexw<-0.3 (23-4)

[0324] The zoom optical system preferably satisfies the following conditional expression (24). Here, the effective diameter of the surface on the object side of the first lens is set to EDf. The effective diameter of the lens surface closest to the image side of the final lens group GE is set to EDr. By making the corresponding value of the conditional expression (24) not less than the lower limit, the diameter of the first lens will not become too small, so it is easy to ensure the peripheral light ratio of the maximum image height. In addition, in order to reduce the diameter of the first lens, the refractive power of the first lens group G1 will not become too strong, so it is easy to suppress the aberration change during zooming. By making the corresponding value of the conditional expression (24) not more than the upper limit, the diameter of the first lens will not become too large, so it is easy to achieve miniaturization. In order to obtain better characteristics, the zoom optical system more preferably satisfies the following conditional expression (24-1), further preferably satisfies the following conditional expression (24-2), further preferably satisfies the following conditional expression (24-3), and further preferably satisfies the following conditional expression (24-4).

[0325] 1.5<EDf / EDr<3 (24)

[0326] 1.6<EDf / EDr<2.8 (24-1)

[0327] 1.6<EDf / EDr<2.6 (24-2)

[0328] 1.7<EDf / EDr<2.4 (24-3)

[0329] 1.8<EDf / EDr<2.2 (24-4)

[0330] In this specification, the "effective diameter" of the lens surface is twice the distance from the intersection of the outermost ray of light incident on the lens surface from the object side and emitted to the image side with the lens surface to the optical axis Z. The "outer side" mentioned here refers to the radial outer side with the optical axis Z as the center, that is, the side away from the optical axis Z. And, the "light ray passing the outermost side" is determined in consideration of the entire zoom range.

[0331] As an illustration, in Figure 3 An example of the effective diameter ED is shown in FIG. Figure 3 In the figure, the left side is the object side and the right side is the image side. Figure 3 The on-axis beam Xa and the 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 passing through the outermost side. Figure 3 In the example, 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. And the position of the intersection of the outermost light ray and the lens surface becomes the position Px of the maximum effective diameter. Figure 3 In the example of , the upper ray of the off-axis beam Xb is the ray that passes through the outermost side, but which ray becomes the ray that passes through the outermost side differs depending on the optical system.

[0332] The variable power optical system preferably satisfies the following conditional formula (25). By making the corresponding value of conditional formula (25) not be less than the lower limit, it is advantageous to shorten the total length. By making the corresponding value of conditional formula (25) not be more than the upper limit, it becomes easy to reduce the diameter of the first lens. In order to obtain better characteristics, the variable power optical system more preferably satisfies the following conditional formula (25-1), further preferably satisfies the following conditional formula (25-2), further preferably satisfies the following conditional formula (25-3), and further preferably satisfies the following conditional formula (25-4).

[0333] 0.35<EDf / TLw<0.65 (25)

[0334] 0.38<EDf / TLw<0.62 (25-1)

[0335] 0.41<EDf / TLw<0.59 (25-2)

[0336] 0.41<EDf / TLw<0.56 (25-3)

[0337] 0.44<EDf / TLw<0.53 (25-4)

[0338] The zoom optical system preferably satisfies the following conditional formula (26). By making the corresponding value of conditional formula (26) not be less than the lower limit, the zoom ratio will not become too low, so that a useful value as a zoom optical system can be obtained. By making the corresponding value of conditional formula (26) not be more than 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 formula (26-1), further preferably satisfies the following conditional formula (26-2), further preferably satisfies the following conditional formula (26-3), and further preferably satisfies the following conditional formula (26-4).

[0339] 2.2<ft / fw<4.8 (26)

[0340] 2.35<ft / fw<4.4 (26-1)

[0341] 2.35<ft / fw<4 (26-1)

[0342] 2.5<ft / fw<3.6 (26-1)

[0343] 2.5<ft / fw<3.2 (26-1)

[0344] When the refractive index of the first lens with respect to the d-line is set to NdL1, the variable power optical system preferably satisfies the following conditional expression (27). By making the corresponding value of conditional expression (27) not be less than the lower limit, the absolute value of the radius of curvature of the first lens does not become too small in order to ensure the refractive power of the first lens required to correct the aberration generated by the positive lens constituting the first lens group G1.

[0345] As a result, the increase of the higher-order aberrations of the spherical aberration at the telephoto end can be suppressed, which is conducive to high performance. Alternatively, by making the corresponding value of the conditional expression (27) not below the lower limit, the refractive power of the first lens will not become too weak and the outer diameter will not become too large, so the refractive power of the positive lens of the first lens group G1 will not become too weak and the outer diameter will not become too large. As a result, the miniaturization of the first lens group G1 becomes easy. Regarding the upper limit of the conditional expression (27), usually, if the refractive index of the optical material becomes higher, the specific gravity becomes larger and the Abbe number becomes smaller. Therefore, by making the corresponding value of the conditional expression (27) not above the upper limit, the increase in the weight of the first lens with a large lens diameter can be suppressed, so it is easy to achieve lightweight. In addition, the correction of the chromatic aberration of magnification at the wide-angle end becomes easy. In order to obtain better characteristics, the variable magnification optical system preferably satisfies the following conditional formula (27-1), further preferably satisfies the following conditional formula (27-2), more preferably satisfies the following conditional formula (27-3), and further preferably satisfies the following conditional formula (27-4).

[0346] 1.8<NdL1<2.01 (27)

[0347] 1.8<NdL1<1.96 (27-1)

[0348] 1.8<NdL1<1.91 (27-2)

[0349] 1.84<NdL1<1.96 (27-3)

[0350] 1.84<NdL1<1.91 (27-4)

[0351] When the Abbe number of the d-line reference of the first lens is set to v dL1, the variable power optical system preferably satisfies the following conditional expression (28). By making the corresponding value of conditional expression (28) not be less than the lower limit, it is possible to suppress over-correction of axial chromatic aberration at the telephoto end. Alternatively, since the difference in Abbe numbers between the positive lens and the negative lens constituting the first lens group G1 will not become too large, the refractive power of the first lens will not become too weak. As a result, it is easy to correct the chromatic aberration of magnification at the wide-angle end. By making the corresponding value of conditional expression (28) not be more than the upper limit, it is possible to suppress under-correction of axial chromatic aberration at the telephoto end. Alternatively, since the difference in Abbe numbers between the positive lens and the negative lens constituting the first lens group G1 will not become too small, the refractive power of each lens constituting the first lens group G1 will not become too strong. As a result, it is possible to suppress the increase of higher-order aberrations of spherical aberration at the telephoto end, so it is easy to achieve high performance. In order to obtain better characteristics, the zoom optical system preferably satisfies the following conditional formula (28-1), further preferably satisfies the following conditional formula (28-2), further preferably satisfies the following conditional formula (28-3), and further preferably satisfies the following conditional formula (28-4).

[0352] 15<v dL1<45 (28)

[0353] 15<v dL1<40 (28-1)

[0354] 15<v dL1<36 (28-2)

[0355] 18<v dI1<36 (28-3)

[0356] 20<v dL1<36(28-4)

[0357] The variable power optical system preferably satisfies the following conditional formula (29). By making the corresponding value of conditional formula (29) not be less than the lower limit, it is possible to select materials other than materials with low refractive index and low Abbe number, so that it is easy to correct the chromatic aberration of magnification at the wide-angle end. By making the corresponding value of conditional formula (29) not be more than the upper limit, it is possible to select materials other than materials with high refractive index and high Abbe number, so it is possible to select materials with low specific gravity, and it is easy to achieve lightweight. Alternatively, since the difference in Abbe number between the positive lens and the negative lens constituting the first lens group G1 will not become too small, the refractive power of each lens constituting the first lens group G1 will not become stronger. As a result, the higher-order aberrations of spherical aberration at the telephoto end can be suppressed. In order to obtain better characteristics, the variable power optical system preferably satisfies the following conditional formula (29-1), further preferably satisfies the following conditional formula (29-2), more preferably satisfies the following conditional formula (29-3), and further preferably satisfies the following conditional formula (29-4).

[0358] 2<NdL1+0.01×vdL1<2.5 (29)

[0359] 2<NdL1+0.01×vdL1<2.35 (29-1)

[0360] 2.05<NdL1+0.01×vdL1<2.35 (29-2)

[0361] 2<NdL1+0.01×v dL1<2.2 (29-3)

[0362] 2.05<NdL1+0.01×vdL1<2.2 (29-4)

[0363] The variable power optical system preferably satisfies conditional expressions (27), (28) and (29) at the same time. The variable power optical system more preferably satisfies conditional expressions (27), (28) and (29) at the same time and satisfies at least one of conditional expressions (27-1), (27-2), (27-3), (27-4), (28-1), (28-2), (28-3), (28-4), (29-1), (29-2), (29-3) and (29-4).

[0364] When the refractive index of the second lens with respect to the d-line is set to NdL2, the variable power optical system preferably satisfies the following conditional expression (30). By making the corresponding value of the conditional expression (30) not be less than the lower limit, it is possible to avoid reducing the absolute value of the radius of curvature of the positive lens constituting the first lens group G1 in order to ensure the positive refractive power required for the miniaturization of the first lens group G1. As a result, the increase of the higher-order aberrations of the spherical aberration at the telephoto end can be suppressed, so that high performance can be easily achieved. Alternatively, the miniaturization of the first lens group G1 becomes easy. Regarding the upper limit of the conditional expression (30), generally, if the refractive index of the optical material becomes higher, the specific gravity becomes larger. Therefore, by making the corresponding value of the conditional expression (30) not be above the upper limit, the increase in the weight of the lens can be suppressed, so that lightweighting can be easily achieved. In order to obtain better characteristics, the variable magnification optical system preferably satisfies the following conditional formula (30-1), further preferably satisfies the following conditional formula (30-2), further preferably satisfies the following conditional formula (30-3), and further preferably satisfies the following conditional formula (30-4).

[0365] 1.43<NdL2<1.81 (30)

[0366] 1.43<NdL2<1.76 (30-1)

[0367] 1.43<NdL2<1.71 (30-2)

[0368] 1.43<NdL2<1.66(30-3)

[0369] 1.47<NdL2<1.61 (30-4)

[0370] When the Abbe number of the d-line reference of the second lens is set to v dL2, the variable power optical system preferably satisfies the following conditional expression (31). By making the corresponding value of conditional expression (31) not be less than the lower limit, it is possible to suppress the undercorrection of the axial chromatic aberration at the telephoto end. Alternatively, since the difference between the Abbe numbers of the positive lens and the negative lens constituting the first lens group G1 will not become too small, the refractive power of each lens constituting the first lens group G1 will not become too strong. As a result, the increase of the higher-order aberration of the spherical aberration at the telephoto end can be suppressed, so it is easy to achieve high performance. By making the corresponding value of conditional expression (31) not be more than the upper limit, it is possible to suppress the overcorrection of the axial chromatic aberration at the telephoto end. Alternatively, since the difference between the Abbe numbers of the positive lens and the negative lens constituting the first lens group G1 will not become too large, the refractive power of the first lens will not become too weak. As a result, it is easy to correct the chromatic aberration of magnification at the wide-angle end. In order to obtain better characteristics, the variable magnification optical system preferably satisfies the following conditional formula (31-1), further preferably satisfies the following conditional formula (31-2), further preferably satisfies the following conditional formula (31-3), and further preferably satisfies the following conditional formula (31-4).

[0371] 45<v dL2<96 (31)

[0372] 45<v dL2<82 (31-1)

[0373] 45<vdL2<77 (31-2)

[0374] 45<v dL2<71 (31-3)

[0375] 49<v dL2<71 (31-4)

[0376] The variable power optical system preferably satisfies the following conditional formula (32). By making the corresponding value of conditional formula (32) not be less than the lower limit, it is possible to select materials other than materials with low refractive index and low Abbe number, thereby suppressing the increase of higher-order aberrations of spherical aberration at the telephoto end, thereby easily achieving high performance. In addition, it is possible to suppress insufficient correction of axial chromatic aberration at the telephoto end. By making the corresponding value of conditional formula (32) not be more than the upper limit, it is possible to select materials other than materials with high refractive index and high Abbe number, thereby suppressing the selection of materials with low specific gravity, thereby easily achieving lightweighting. In addition, it is possible to suppress excessive correction of axial chromatic aberration at the telephoto end. In order to obtain better characteristics, the variable power optical system preferably satisfies the following conditional formula (32-1), further preferably satisfies the following conditional formula (32-2), further preferably satisfies the following conditional formula (32-3), and further preferably satisfies the following conditional formula (32-4).

[0377] 2<NdL2+0.01×v dL2<2.5 (32)

[0378] 2.05<NdL2+0.01×v dL2<2.45 (32-1)

[0379] 2.1<NdL2+0.01×vdL2<2.4 (32-2)

[0380] 2.i<NdL2+0.01×vdL2<2.35 (32-3)

[0381] 2.15<NdL2+0.01×v dL2<2.35 (32-4)

[0382] The variable power optical system preferably satisfies conditional expressions (30), (31) and (32) at the same time. The variable power optical system more preferably satisfies conditional expressions (30), (31) and (32) at the same time and satisfies at least one of conditional expressions (30-1), (30-2), (30-3), (30-4), (31-1), (31-2), (31-3), (31-4), (32-1), (32-2), (32-3) and (32-4).

[0383] In a structure including at least one focusing group that moves during zooming and focusing, the zoom optical system preferably satisfies the following conditional expression (33). Here, the focal length of the focusing group having the smallest absolute value of focal length among the focusing groups included in the zoom optical system is set to ffoc. The focal length of the middle group GM in a state of focusing on an infinitely distant object at the telephoto end is set to fMt. By making the corresponding value of the conditional expression (33) not below the lower limit, the refractive power of the focusing group will not become too strong, thereby suppressing excessive aberration correction during focusing. By making the corresponding value of the conditional expression (33) not above the upper limit, the refractive power of the focusing group will not become too weak, thereby suppressing insufficient aberration correction during focusing. In order to obtain better characteristics, the zoom optical system more preferably satisfies the following conditional expression (33-1), further preferably satisfies the following conditional expression (33-2), further preferably satisfies the following conditional expression (33-3), and further preferably satisfies the following conditional expression (33-4).

[0384] 0.3<|ffoc / fMt|<4 (33)

[0385] 0.35<|ffoc / fMt|<3.5 (33-1)

[0386] 0.4<|ffoc / fMt|<3 (33-2)

[0387] 0.45<|ffoc / fMt|<2.5 (33-3)

[0388] 0.5<|ffoc / fMt|<2 (33-4)

[0389] In a structure including at least one focus group that moves during zooming and focusing, the zoom optical system preferably satisfies the following conditional expression (34). Here, the lateral magnification in a state where the focus group having the largest absolute value of focal length among the focus groups included in the zoom optical system focuses on an infinitely distant object at the telephoto end is set to βft. The composite lateral magnification in a state where all lenses closer to the image side than the focus group having the largest absolute value of focal length focus on an infinitely distant object at the telephoto end is set to βfRt. By making the corresponding value of conditional expression (34) not below the lower limit, the ratio of the image plane movement amount to the unit movement amount of the focus group will not become too small, and thus the movement amount of the focus group during focusing will not become too large, which is conducive to achieving both high performance and miniaturization. By making the corresponding value of conditional expression (34) not above the upper limit, the ratio of the image plane movement amount to the unit movement amount of the focus group will not become too large, and thus is conducive to achieving both manufacturing applicability and miniaturization.

[0390] In order to obtain better characteristics, the zoom optical system preferably satisfies the following conditional formula (34-1), further preferably satisfies the following conditional formula (34-2), further preferably satisfies the following conditional formula (34-3), and further preferably satisfies the following conditional formula (34-4).

[0391] 1<|(1-βft 2 )×βfRt 2 |<8 (34)

[0392] 1.3<|(1-βft 2 )×βfRt 2 |<7 (34-1)

[0393] 1.5<|(1-βft 2 )×βfRt 2 |<6 (34-2)

[0394] 1.7<|(1-βft 2 )×βfRt 2 |<5 (34-3)

[0395] 1.9<|(1-βft 2 )×βfRt 2 |<4 (34-4)

[0396] In a structure in which a focusing group includes one positive lens and two negative lenses and the negative lens closest to the image side of the focusing group is an aspheric lens, the zoom optical system preferably satisfies the following conditional formula (35) with respect to the aspheric lens. Here, the paraxial curvature radius of the surface on the object side of the above-mentioned aspheric lens is set to Rcnf. The paraxial curvature radius of the surface on the image side of the above-mentioned aspheric lens is set to Rcnr. The curvature radius at the position of the maximum effective diameter of the surface on the object side of the above-mentioned aspheric lens is set to Rynf. The curvature radius at the position of the maximum effective diameter of the surface on the image side of the above-mentioned aspheric lens is set to Rynr. By making the corresponding value of the conditional formula (35) not be less than the lower limit, the refractive power of the lens on the peripheral side will not become too strong, which is conducive to suppressing distortion aberration. By making the corresponding value of the conditional formula (35) not be more than the upper limit, the refractive power of the lens on the peripheral side will not become too weak, which is conducive to correcting the image curvature and astigmatism caused by off-axis light on the peripheral side of the lens. In order to obtain better characteristics, the zoom optical system preferably satisfies the following conditional formula (35-1), further preferably satisfies the following conditional formula (35-2), further preferably satisfies the following conditional formula (35-3), and further preferably satisfies the following conditional formula (35-4).

[0397] 0.1<(1 / Rcnf-1 / Rcnr) / (1 / Rynf-1 / Rynr)<3 (35)

[0398] 0.15<(1 / Rcnf-1 / Rcnr) / (1 / Rynf-1 / Rynr)<2.5 (35-1)

[0399] 0.2<(1 / Rcnf-1 / Rcnr) / (1 / Rynf-1 / Rynr)<2 (35-2)

[0400] 0.25<(1 / Rcnf-1 / Rcnr) / (1 / Rynf-1 / Rynr)<1.5 (35-3)

[0401] 0.3<(1 / Rcnf-1 / Rcnr) / (1 / Rynf-1 / Rynr)<1 (35-4)

[0402] In a structure in which a focusing group includes one negative lens and two positive lenses and the positive lens closest to the image side of the focusing group is an aspheric lens, the zoom optical system preferably satisfies the following conditional formula (36) with respect to the aspheric lens. Here, the paraxial curvature radius of the surface on the object side of the above-mentioned aspheric lens is set to Rcpf. The paraxial curvature radius of the surface on the image side of the above-mentioned aspheric lens is set to Rcpr. The curvature radius at the position of the maximum effective diameter of the surface on the object side of the above-mentioned aspheric lens is set to Rypf. The curvature radius at the position of the maximum effective diameter of the surface on the image side of the above-mentioned aspheric lens is set to Ryp. By making the corresponding value of the conditional formula (36) not be less than the lower limit, the refractive power of the lens on the peripheral side will not become too weak, which is beneficial to correct the image curvature and astigmatism caused by the off-axis light on the peripheral side of the lens. By making the corresponding value of the conditional formula (36) not be more than the upper limit, the refractive power of the lens on the peripheral side will not become too strong, which is beneficial to suppress distortion aberration. In order to obtain better characteristics, the zoom optical system preferably satisfies the following conditional formula (36-1), further preferably satisfies the following conditional formula (36-2), further preferably satisfies the following conditional formula (36-3), and further preferably satisfies the following conditional formula (36-4).

[0403] -120<(1 / Rcpf-1 / Rcpr) / (1 / Rypf-1 / Rypr)<-3 (36)

[0404] -100<(1 / Rcpf-1 / Rcpr) / (1 / Rypf-1 / Rypr)<-6 (36-1)

[0405] -80<(1 / Rcpf-1 / Rcpr) / (1 / Rypf-1 / Rypr)<-9 (36-2)

[0406] -60<(1 / Rcpf-1 / Rcpr) / (1 / Rypf-1 / Rypr)<-12 (36-3)

[0407] -40<(1 / Rcpf-1 / Rcpr) / (1 / Rypf-1 / Rypr)<-15 (36-4)

[0408] In a structure in which the focusing group includes one negative lens and the negative lens of the focusing group is an aspheric lens, the zoom optical system preferably satisfies the following conditional formula (37) with respect to the aspheric lens. Here, the paraxial curvature radius of the surface on the object side of the above-mentioned aspheric lens is set to Rcsnf. The paraxial curvature radius of the surface on the image side of the above-mentioned aspheric lens is set to Rcsnr. The curvature radius at the position of the maximum effective diameter of the surface on the object side of the above-mentioned aspheric lens is set to Rysnf. The curvature radius at the position of the maximum effective diameter of the surface on the image side of the above-mentioned aspheric lens is set to Rysnr. By making the corresponding value of the conditional formula (37) not be less than the lower limit, the refractive power of the peripheral side of the lens will not become too strong, which is conducive to suppressing distortion aberration. By making the corresponding value of the conditional formula (37) not be more than the upper limit, the refractive power of the peripheral side of the lens will not become too weak, which is conducive to correcting the image curvature and astigmatism caused by the off-axis light on the peripheral side of the lens. In order to obtain better characteristics, the zoom optical system preferably satisfies the following conditional formula (37-1), further preferably satisfies the following conditional formula (37-2), further preferably satisfies the following conditional formula (37-3), and further preferably satisfies the following conditional formula (37-4).

[0409] 0.1<(1 / Rcsnf-1 / Rcsnr) / (1 / Rysnf-1 / Rysnr)<3.5 (37)

[0410] 0.2<(1 / Rcsnf-1 / Rcsnr) / (1 / Rysnf-1 / Rysnr)<3 (37-1)

[0411] 0.3<(1 / Rcsnf-1 / Rcsnr) / (1 / Rysnf-1 / Rysnr)<2.5 (37-2)

[0412] 0.4<(1 / Rcsnf-1 / Rcsnr) / (1 / Rysnf-1 / Rysnr)<2 (37-3)

[0413] 0.5<(1 / Rcsnf-1 / Rcsnr) / (1 / Rysnf-1 / Rysnr)<1.5 (37-4)

[0414] In a structure in which the image side focusing group includes one positive lens and the positive lens of the image side focusing group is an aspheric lens, the zoom optical system preferably satisfies the following conditional formula (38) with respect to the aspheric lens. Here, the paraxial curvature radius of the surface on the object side of the above-mentioned aspheric lens is set to Rcipf. The paraxial curvature radius of the surface on the image side of the above-mentioned aspheric lens is set to Rcipr. The curvature radius at the position of the maximum effective diameter of the surface on the object side of the above-mentioned aspheric lens is set to Ryipf. The curvature radius at the position of the maximum effective diameter of the surface on the image side of the above-mentioned aspheric lens is set to Ryipr. By making the corresponding value of the conditional formula (38) not be below the lower limit, the refractive power of the peripheral side of the lens will not become too strong, which is conducive to suppressing distortion aberration. By making the corresponding value of the conditional formula (38) not be above the upper limit, the refractive power of the peripheral side of the lens will not become too weak, which is conducive to correcting the image curvature and astigmatism caused by the off-axis light on the peripheral side of the lens. In order to obtain better characteristics, the variable magnification optical system preferably satisfies the following conditional formula (38-1), further preferably satisfies the following conditional formula (38-2), further preferably satisfies the following conditional formula (38-3), and further preferably satisfies the following conditional formula (38-4).

[0415] 1<(1 / Rcipf-1 / Rcipr) / (1 / Ryipf-1 / Ryipr)<100 (38)

[0416] 1.5<(1 / Rcipf-1 / Rcipr) / (1 / Ryipf-1 / Ryipr)<80 (38-1)

[0417] 2<(1 / Rcipf-1 / Rcipr) / (1 / Ryipf-1 / Ryipr)<60 (38-2)

[0418] 2.5<(1 / Rcipf-1 / Rcipr) / (1 / Ryipf-1 / Ryipr)<40 (38-3)

[0419] 3<(1 / Rcipf-1 / Rcipr) / (1 / Ryipf-1 / Ryipr)<20 (38-4)

[0420] In a structure in which the image side focusing group includes one negative lens and the negative lens of the image side focusing group is an aspheric lens, the zoom optical system preferably satisfies the following conditional formula (39) with respect to the aspheric lens. Here, the paraxial curvature radius of the surface on the object side of the above-mentioned aspheric lens is set to Rcinf. The paraxial curvature radius of the surface on the image side of the above-mentioned aspheric lens is set to Rcinr. The curvature radius at the position of the maximum effective diameter of the surface on the object side of the above-mentioned aspheric lens is set to Ryinf. The curvature radius at the position of the maximum effective diameter of the surface on the image side of the above-mentioned aspheric lens is set to Ryinr. By making the corresponding value of the conditional formula (39) not be below the lower limit, the refractive power of the peripheral side of the lens will not become too strong, which is conducive to suppressing distortion aberration. By making the corresponding value of the conditional formula (39) not be above the upper limit, the refractive power of the peripheral side of the lens will not become too weak, which is conducive to correcting the image curvature and astigmatism caused by the off-axis light on the peripheral side of the lens. In order to obtain better characteristics, the zoom optical system preferably satisfies the following conditional formula (39-1), further preferably satisfies the following conditional formula (39-2), further preferably satisfies the following conditional formula (39-3), and further preferably satisfies the following conditional formula (39-4).

[0421] 0.1<(1 / Rcinf-1 / Rcinr) / (1 / Ryinf-1 / Ryinr)<3.5 (39)

[0422] 0.2<(1 / Rcinf-1 / Rcinr) / (1 / Ryinf-1 / Ryinr)<3 (39-1)

[0423] 0.3<(1 / Rcinf-1 / Rcinr) / (1 / Ryinf-1 / Ryinr)<2.5 (39-2)

[0424] 0.4<(1 / Rcinf-1 / Rcinr) / (1 / Ryinf-1 / Ryinr)<2 (39-3)

[0425] 0.5<(1 / Rcinf-1 / Rcinr) / (1 / Ryinf-1 / Ryinr)<1.5 (39-4)

[0426] In a structure in which the final lens group GE includes a positive lens that is an aspheric lens, the zoom optical system preferably satisfies the following conditional expression (40) with respect to the aspheric lens. Here, the paraxial curvature radius of the surface on the object side of the above-mentioned aspheric lens is set to RcEpf. The paraxial curvature radius of the surface on the image side of the above-mentioned aspheric lens is set to RcEpr. The curvature radius at the position of the maximum effective diameter of the surface on the object side of the above-mentioned aspheric lens is set to RyEpf. The curvature radius at the position of the maximum effective diameter of the surface on the image side of the above-mentioned aspheric lens is set to RyEpr. By making the corresponding value of the conditional expression (40) not be below the lower limit, the refractive power of the peripheral side of the lens will not become too strong, which is conducive to suppressing distortion aberration. By making the corresponding value of the conditional expression (40) not be above the upper limit, the refractive power of the peripheral side of the lens will not become too weak, which is conducive to correcting the image curvature and astigmatism caused by off-axis light on the peripheral side of the lens. In order to obtain better characteristics, the variable magnification optical system preferably satisfies the following conditional formula (40-1), further preferably satisfies the following conditional formula (40-2), further preferably satisfies the following conditional formula (40-3), and further preferably satisfies the following conditional formula (40-4).

[0427] 0.1<|(1 / RcEpf-1 / RcEpr) / (1 / RyEpf-1 / RyEpr)|<5 (40)

[0428] 0.2<|(1 / RcEpf-1 / RcEpr) / (1 / RyEpf-1 / RyEpr)|<4 (40-1)

[0429] 0.3<|(1 / RcEpf-1 / RcEpr) / (1 / RyEpf-1 / RyEpr)|<3 (40-2)

[0430] 0.4<|(1 / RcEpf-1 / RcEpr) / (1 / RyEpf-1 / RyEpr)|<2 (40-3)

[0431] 0.5<|(1 / RcEpf-1 / RcEpr) / (1 / RyEpf-1 / RyEpr)|<1.5 (40-4)

[0432] 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 lens groups included in the middle group GM and the number of lenses included in each lens group can be the same as Figure 1 Examples of different quantities.

[0433] Figure 1The middle group GM in the example includes two lens groups, but in the technology of the present invention, the middle group GM can be composed of one lens group, three lens groups, four lens groups, or five lens groups.

[0434] The intermediate group GM and the final lens group GE can be constructed as follows. When constructed as follows, it is beneficial to suppress the aberration variation during magnification. The intermediate group GM can 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, and a lens group with negative refractive power, and the final lens group GE has positive refractive power. The intermediate group GM can 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, and a lens group with positive refractive power, and the final lens group GE has negative refractive power. The intermediate group GM 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, and a lens group with negative refractive power, and the final lens group GE has positive refractive power. The intermediate group GM can 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, and a lens group with positive refractive power, and the final lens group GE has 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, a lens group with negative refractive power, and a lens group with positive refractive power, and the final lens group GE has 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, a lens group with negative refractive power, and a lens group with negative refractive power, and the final lens group GE has 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, a lens group with negative refractive power, and a lens group with positive refractive power, and the final lens group GE has negative refractive power.

[0435] The final lens group GE may be configured to move during zooming, which is advantageous in suppressing aberration fluctuations during zooming.

[0436] The zoom optical system of the present invention can be configured to include a plurality of lens groups that move along the same movement trajectory when zooming from the wide-angle end to the telephoto end. In this case, the lens groups that move along the same movement trajectory can be driven by one cam, thereby simplifying the drive mechanism of the lens groups. In addition, the above-mentioned "moving along the same movement trajectory when zooming from the wide-angle end to the telephoto end" means that the movement trajectory is the same in the entire zoom range from the wide-angle end to the telephoto end.

[0437] The variable magnification optical system of the present invention may be a zoom lens or a variable focal length lens (Varifocallens).

[0438] 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 from the preferred, more preferred, further preferred, further preferred and further preferred conditional expressions.

[0439] For example, a preferred first mode of the variable power optical system of the present invention includes, 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, an intermediate group GM and a final lens group GE having refractive power, wherein the intermediate group GM includes more than one and less than five lens groups, and when the power 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, and the interval between the intermediate group GM and the final lens group GE changes. When the intermediate group GM includes a plurality of lens groups, when the power is changed, all intervals between adjacent lens groups in the intermediate group GM change, and an aperture stop St is arranged between the lens surface closest to the image side of the second lens group G2 and the lens surface closest to the object side of the final lens group GE. The first lens group G1 includes, in order from the closest to the object side to the image side, a first lens as a negative lens and a second lens as a positive lens, and a preferred first mode of the variable power optical system of the present invention satisfies the above-mentioned conditional expressions (1), (2) and (3).

[0440] A preferred second aspect of the variable power optical system of the present invention is the first aspect described above, further satisfying the above conditional expressions (4), (5), (6), and (7).

[0441] Next, embodiments of the variable magnification optical system of the present invention are described with reference to the accompanying drawings. In addition, the reference symbols on the lenses in the cross-sectional views of each embodiment are used independently in each embodiment to avoid the complication of the description and drawings caused by the increase in the number of digits of the reference symbols. Therefore, even if the same reference symbols are marked in the drawings of different embodiments, they are not necessarily the same structure.

[0442] [Example 1]

[0443] The structure and movement trajectory of the variable magnification optical system of Example 1 are shown in Figure 1In the figure, the illustration method and structure are as described above, so part of the repeated description is omitted here. The variable power 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 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 the magnification is changed from the wide-angle end to the telephoto end, the first lens group G1, the second lens group G2, the third lens group G3 and the fourth lens group G4 change the intervals between the adjacent lens groups and move along the optical axis Z, and the fifth lens group G5 is fixed relative to the image plane Sim. The focusing group includes the fourth lens group G4, and when focusing from an object at infinity to the nearest object, the focusing group moves toward the image side.

[0444] Regarding the variable power optical system of Example 1, basic lens data is shown in Table 1, specifications and variable surface intervals are shown in Table 2, and aspheric surface coefficients are shown in Table 3.

[0445] The table of basic lens data is as follows. The Sn column shows the surface number when the surface closest to the object side is set as the first surface and the number increases 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 the d-line. The vd column shows the Abbe number of each constituent element based on the d-line. The θgF column shows the partial dispersion ratio between the g-line and the F-line of each constituent element.

[0446] The effective diameter of each face is shown in column ED.

[0447] In the table of basic lens data, the sign of the curvature radius of the convex surface facing the object side is set to positive, and the sign of the curvature radius of the convex surface facing the image side is set to negative. Table 1 also shows the aperture stop St, and the surface number and the sentence (St) are recorded in the surface number column of the surface corresponding to the aperture stop St. The value of the bottom column of the surface spacing column of the table is the spacing between the surface closest to the image side in the table and the image surface Sim. For variable surface spacing, the symbol DD[] is used, and the surface number on the object side of the spacing is marked in [] and recorded in the surface spacing column.

[0448] In Table 2, the zoom ratio Zr, focal length f, open F value FNo., maximum total field angle 2ω, and variable surface spacing are shown based on the d-line reference. When the zoom optical system is a zoom lens, the zoom ratio has the same meaning as the zoom factor. The [°] in the 2ω column indicates the unit is degree. In Table 2, the values ​​of the wide-angle end state are shown in the column marked "Wide", the values ​​of the intermediate focal length state are shown in the column marked "Middle", and the values ​​of the telephoto end state are shown in the column marked "Te]e".

[0449] In the basic lens data, the surface number of the aspheric surface is marked with an * sign, 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 values ​​of the aspheric coefficients of each aspheric surface are 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 8th surface of Example 1, m = 3, 4, 5, 6, 7, 8, 9, 10. The numerical values ​​of the aspheric coefficients in Table 3, "E±n" (n: integer), represent "×10 ±n KA and Am are aspherical coefficients in the aspherical formula represented by the following formula.

[0450] Zd=C×h 2 / {1+(1-KA×C 2 ×h 2 ) 1 / 2}+∑Am×h m

[0451] in,

[0452] 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);

[0453] h: height (the distance from the optical axis Z to the lens surface);

[0454] C: the reciprocal of the paraxial radius of curvature;

[0455] KA, Am: Aspheric coefficients,

[0456] Σ in the aspherical expression represents the sum related to m.

[0457] In the data of each table, degrees are used as the unit of angle and millimeters are used as the unit of length, but other appropriate units can be used even if the optical system is used for enlargement or reduction. In addition, the values ​​rounded to a preset number of digits are recorded in each table shown below.

[0458] [Table 1]

[0459] Example 1

[0460] Sn R D Nd vd θgF ED 1 166.9813 1.5000 1.88372 20.81 0.62796 50.60 2 81.7867 4.0808 1.48749 70.44 0.53062 48.80 3 257.7942 0.1500 48.02 4 45.0914 5.9655 1.78457 49.54 0.54993 44.60 5 154.3738 DD[5] 43.53 6 47.5370 1.0000 1.75917 52.08 0.54632 28.07 7 11.7201 8.4262 20.07 *8 -21.1101 1.6000 1.51601 52.71 0.55457 19.24 *9 29.5044 0.4015 17.85 10 35.7739 3.8436 1.94000 30.26 0.59757 17.80 11 -44.2947 1.8378 18.09 12 -18.4297 0.8000 1.59445 61.36 0.54201 18.07 13 -38.7005 DD

[13] 18.83 14(St) ∞ 1.1000 19.50 *15 27.3702 4.8112 1.68948 31.02 0.59874 21.25 *16 -95.1444 2.4908 21.91 17 178.9235 0.8002 1.74331 27.84 0.60412 21.66 18 16.8228 5.4793 1.49700 81.61 0.53887 21.29 19 120.4821 0.1502 21.66 20 33.4205 6.0100 1.49700 81..61 0.53887 22.22 21 -30.1550 0.8000 1.71991 29.01 0.60086 22.20 22 -213.2305 0.1501 22.45 *23 37.9913 5.8592 1.49700 81.61 0.53887 22.54 *24 -21.8825 DD

[24] 22.86 25 153.8337 2.1836 1.89999 20.00 0.63131 17.51 26 -80.4673 0.6100 1.87504 40.50 0.56717 16.94 27 25.0256 DD

[27] 16.00 *28 -96.9598 2.8834 1.70445 56.28 0.54269 24.72 *29 -36.5652 19.0000 25.60

[0461] [Table 2]

[0462] Example 1

[0463] Wide Middle Tele Zr 1.0 1.8 3.2 f 16.49 30.12 53.39 FNo. 2.88 2.88 2.88 2ω[°] 86.2 49.0 28.6 DD[5] 0.80 13.87 25.96 DD

[13] 16.78 4.25 0.98 DD

[24] 2.42 5.42 2.40 DD

[27] 5.12 9.16 29.11

[0464] [Table 3]

[0465] Example 1

[0466]

[0467]

[0468] exist Figure 4 , 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 chromatic aberration of magnification are shown from left to right. Figure 4 In the figure, the upper section marked with "Wide" shows aberrations in the wide-angle end state, the middle section marked with "Middle" shows aberrations in the intermediate focal length state, and the lower section marked with "Tele" shows aberrations in the telephoto end state. In the spherical aberration diagram, aberrations at the d-line, C-line, and F-line are shown with solid lines, long dashed lines, and short dashed lines, respectively. In the astigmatism diagram, aberrations at the d-line in the sagittal direction are shown with solid lines, and aberrations at the d-line in the meridional direction are shown with short dashed lines. In the distortion diagram, aberrations at the d-line are shown with solid lines. In the lateral chromatic aberration diagram, aberrations at the C-line and F-line are shown with long dashed lines and short dashed lines, respectively. In the spherical aberration diagram, the value of the open F value is shown after FNo.=. In the other aberration diagrams, the value of the maximum half viewing angle is shown after ω=.

[0469] Unless otherwise specified, the symbols, meanings, recording methods and graphical representation 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.

[0470] [Example 2]

[0471] 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 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 first lens group G1, the second lens group G2, the third lens group G3 and the fourth lens group G4 change the intervals between the adjacent lens groups and move along the optical axis Z, and the fifth lens group G5 is fixed relative to the image plane Sim. The focusing group includes the fourth lens group G4, and when focusing from an object at infinity to the nearest object, the focusing group moves toward the image side.

[0472] The first lens group G1 includes three lenses L11 to L13 in order from the object side to the image side, and the second lens group G2 includes four lenses L21 to L24 in order from the object side to the image side.

[0473] The third lens group G3 includes an aperture stop St and six lenses L31 to L36 in order from the object side to the image side. The fourth lens group G4 includes one lens L41. The fifth lens group G5 includes one lens L51.

[0474] Regarding the variable magnification optical system of Example 2, basic lens data is shown in Table 4, specifications and variable surface intervals are shown in Table 5, aspheric coefficients are shown in Table 6, and various aberration diagrams are shown in Table 8. Figure 6 .

[0475] [Table 4] Example 2

[0476] Sn R D Nd vd θgF ED 1 73.8399 1.5000 1.92286 20.88 0.63992 50.00 2 49.0167 4.9618 1.59283 68.63 0.54286 48.10 3 109.7447 0.1000 47.54 4 54.2438 5.2575 1.80510 47.36 0.55600 46.36 5 213.2070 DD[5] 45.52 *6 133.2451 1.3009 1.85135 40.10 0.56954 31.61 *7 13.9053 8.5917 22.90 8 -32.1467 0.8908 1.69322 46.63 0.56170 21.57 9 19.9950 5.8165 1.92105 29.99 0.59863 20.42 10 -47.1897 1.9413 19.80 11 -20.4192 0.8892 1.56420 70.12 0.54049 19.00 12 -45.9983 DD

[12] 19.05 13(St) ∞ 0.8009 18.75 *14 28.9235 3.8370 1.62138 45.13 0.56739 19.95 *15 -2191.9602 6.1597 20.04 16 37.4461 1.9461 1.75371 36.27 0.58432 20.51 17 15.7596 6.3475 1.53394 76.56 0.54005 19.69 18 -45.5040 0.2263 19.65 19 353.9353 2.4189 1.56284 72.67 0.54205 19.27 20 -42.6149 0.8007 1.74198 41.72 0.57064 19.04 21 31.0750 1.2482 18.64 *22 20.3053 5.6883 1.50487 80.44 0.53923 19.14 *23 -26.3523 DD

[23] 18.90 24 414.1850 0.7000 1.59349 67.00 0.53667 18.00 25 22.6891 DD

[25] 17.99 *26 226.7884 2.6886 1.59201 67.02 0.53589 25.13 *27 -67.1003 20.6600 25.40

[0477] [Table 5] Example 2

[0478] Wide Middle Tele Zr 1.0 2.0 3.2 f 16.49 32.99 53.43 FNo. 2.88 2.88 2.88 2ω[°] 86.8 45.0 28.2 DD[5] 0.80 13.83 26.78 DD

[12] 22.92 6.14 1.08 DD

[23] 2.41 7.19 7.83 DD

[25] 8.35 12.96 19.07

[0479] [Table 6]

[0480] Example 2

[0481]

[0482] [Example 3]

[0483] 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 first lens group G1, the second lens group G2, the third lens group G3 and the fourth lens group G4 change the intervals between the adjacent lens groups and move along the optical axis Z, and the fifth lens group G5 is fixed relative to the image plane Sim. The focusing group includes the fourth lens group G4, and when focusing from an object at infinity to the nearest object, the focusing group moves toward the image side.

[0484] 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 six lenses, aperture stop St and lenses L31 to L36, in order from the object side to the image side. The fourth lens group G4 includes one lens, L41. The fifth lens group G5 includes one lens, L51.

[0485] Regarding the variable magnification optical system of Example 3, basic lens data is shown in Table 7, specifications and variable surface intervals are shown in Table 8, aspheric coefficients are shown in Table 9, and various aberration diagrams are shown in Table 10. Figure 8 .

[0486] [Table 7]

[0487] Example 3

[0488] Sn R D Nd vd θgF ED 1 71.6363 1.5005 1.92286 20.88 0.63992 50.00 2 47.7581 5.2149 1.59283 68.63 0.54286 48.17 3 112.6790 0.1000 47.68 4 52.7073 5.3223 1.80357 47.64 0.55541 46.57 5 197.5620 DD[5] 45.79 *6 143.9552 1.3005 1.85135 40.10 0.56954 31.60 *7 13.6561 8.2305 22.75 8 -32.2270 0.8992 1.68511 45.42 0.56452 21.88 9 19.7904 5.2153 1.92120 29.40 0.60050 20.73 10 -45.5336 2.2386 20.36 11 -20.3877 0.8004 1.59639 65.17 0.54254 19.00 12 -46.3394 DD

[12] 19.06 13(St) ∞ 0.8006 18.76 *14 29.1776 3.3620 1.65041 45.75 0.56505 19.97 *15 -3388.9635 6.5976 20.03 16 37.3585 0.8000 1.74300 37.30 0.58171 20.47 17 15.6275 6.5812 1.53988 75.76 0.54046 19.86 18 -42.8525 0.1219 19.81 19 239.4891 2.5420 1.56669 72.15 0.54232 19.35 20 -41.2348 0.8008 1.79280 42.22 0.56779 19.07 21 31.2115 1.2156 18.63 *22 20.1890 5.6053 1.50462 80.48 0.53922 19.13 *23 -25.7706 DD

[23] 18.90 24 344.4230 0.7000 1.59349 67.00 0.53667 18.00 25 22.1694 DD

[25] 17.97 *26 250.2970 2.7494 1.59201 67.02 0.53589 25.04 *27 -68.2775 20.6700 25.34

[0489] [Table 8]

[0490] Example 3

[0491] Wide Middle Tele Zr 1.0 2.0 3.5 f 16.49 32.99 58.38 FNo. 2.88 2.88 2.88 2ω[°] 86.6 44.8 25.8 DD[5] 0.80 13.83 28.36 DD

[12] 23.16 6.61 1.04 DD

[23] 2.32 7.10 7.32 DD

[25] 8.11 11.81 19.27

[0492] [Table 9]

[0493] Example 3

[0494]

[0495] [Example 4]

[0496] The structure and movement trajectory of the variable magnification optical system of Example 4 are shown in FIG. Fig. 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 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 first lens group G1, the second lens group G2, the third lens group G3 and the fourth lens group G4 change the intervals between the adjacent lens groups and move along the optical axis Z, and the fifth lens group G5 is fixed relative to the image plane Sim. The focusing group includes the fourth lens group G4, and when focusing from an object at infinity to the nearest object, the focusing group moves toward the image side.

[0497] 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 six lenses, aperture stop St and lenses L31 to L36, in order from the object side to the image side. The fourth lens group G4 includes one lens, L41. The fifth lens group G5 includes one lens, L51.

[0498] Regarding the variable magnification optical system of Example 4, basic lens data is shown in Table 10, specifications and variable surface intervals are shown in Table 11, aspheric coefficients are shown in Table 12, and various aberration diagrams are shown in Table 13. Fig.10 .

[0499] [Table 10] Example 4

[0500] Sn R D Nd vd θgF ED 1 70.0754 1.4991 1.92286 20.88 0.63992 50.00 2 46.0550 5.5631 1.59283 68.63 0.54286 48.14 3 115.1986 0.1000 47.68 4 49.3297 5.5057 1.81142 46.86 0.55692 46.53 5 168.1898 DD[5] 45.73 *6 151.4894 1.3004 1.85135 40.10 0.56954 31.37 *7 13.2223 8.2475 22.40 8 -31.5098 0.8108 1.66878 46.13 0.56362 21.56 9 19.5887 5.7943 1.92120 29.70 0.59953 20.46 10 -40.7007 1.6658 19.92 11 -21.1261 0.7999 1.70386 56.31 0.54350 19.00 12 -48.5401 DD

[12] 19.09 13(St) ∞ 0.8002 18.82 *14 29.8550 2.8306 1.67502 44.41 0.56701 20.00 *15 -62709.0793 6.0842 20.06 16 38.7249 0.8002 1.70588 37.36 0.58258 20.69 17 15.5639 6.8707 1.53037 77.05 0.53980 20.14 18 -37.7610 0.5879 20.12 19 119.3245 3.0041 1.52606 77.63 0.53950 19.37 20 -34.4485 0.7996 1.80376 43.22 0.56513 19.03 21 31.0527 1.2593 18.56 *22 20.0697 5.5134 1.49700 81.61 0.53887 19.09 *23 -25.1595 DD

[23] 18.90 24 187.7760 0.7000 1.59349 67.00 0.53667 18.00 25 21.3232 DD

[25] 17.91 *26 935.4608 2.4228 1.59201 67.02 0.53589 24.82 *27 -64.8687 19.9700 25.11

[0501] [Table 11] Example 4

[0502] Wide Middle Tele Zr 1.0 2.0 3.8 f 16.49 32.98 63.32 FNo. 2.88 2.88 2.88 2ω[°] 86.4 44.8 24.0 DD[5] 0.80 13.83 29.29 DD

[12] 23.82 7.04 1.02 DD

[23] 1.50 6.28 5.64 DD

[25] 8.59 11.03 19.86

[0503] [Table 12]

[0504] Example 4

[0505]

[0506] [Example 5]

[0507] The structure and movement trajectory of the variable magnification optical system of Example 5 are shown in FIG. Fig.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 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 first lens group G1, the second lens group G2, the third lens group G3 and the fourth lens group G4 change the intervals between the adjacent lens groups and move along the optical axis Z, and the fifth lens group G5 is fixed relative to the image plane Sim. The focusing group includes the fourth lens group G4, and when focusing from an object at infinity to the nearest object, the focusing group moves toward the image side.

[0508] 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 six lenses, aperture stop St and lenses L31 to L36, in order from the object side to the image side. The fourth lens group G4 includes one lens, L41. The fifth lens group G5 includes one lens, L51.

[0509] Regarding the variable magnification optical system of Example 5, basic lens data is shown in Table 13, specifications and variable surface intervals are shown in Table 14, aspheric coefficients are shown in Table 15, and various aberration diagrams are shown in Table 16. Fig.12 .

[0510] [Table 13]

[0511] Example 5

[0512] Sn R D Nd vd θgF ED 1 67.9583 1.4993 1.92286 20.88 0.63992 50.00 2 44.7631 5.7115 1.59283 68.63 0.54286 48.15 3 114.7013 0.1000 47.73 4 49.5121 5.3348 1.82192 45.81 0.55887 46.71 5 164.0298 DD[5] 46.01 *6 149.9945 1.3000 1.85135 40.10 0.56954 31.35 *7 13.1692 8.1784 22.34 8 -32.2167 0.8104 1.66035 40.80 0.57526 21.53 9 19.4217 5.7060 1.92119 27.99 0.60501 20.35 10 -40.9542 1.5446 19.80 11 -21.4235 0.7993 1.72947 55.03 0.54408 19.00 12 -50.3215 DD

[12] 19.08 13(St) ∞ 0.8008 18.85 *14 30.3499 2.7664 1.68690 42.79 0.57003 20.00 *15 4715.1210 6.0259 20.06 16 39.1887 0.8003 1.68316 36.89 0.58451 20.77 17 15.5885 6.9286 1.52529 77.73 0.53945 20.25 18 -36.9085 0.4232 20.23 19 100.8918 3.2483 1.56252 72.71 0.54203 19.47 20 -32.5050 0.7995 1.83037 43.23 0.56420 19.09 21 30.4978 1.1615 18.56 *22 19.9990 5.4686 1.49700 81.61 0.53887 19.07 *23 -25.2537 DD

[23] 18.90 24 173.8168 0.7000 1.59349 67.00 0.53667 18.00 25 21.1028 DD

[25] 17.91 *26 -569.6156 3.7823 1.59201 67.02 0.53589 24.43 *27 -56.4019 19.5000 25.12

[0513] [Table 14]

[0514] Example 5

[0515] Wide Middle Tele Zr 1.0 2.0 4.1 f 16.49 32.98 68.27 FNo. 2.88 2.88 2.88 2ω[°] 86.2 44.6 22.2 DD[5] 0.80 13.83 30.85 DD

[12] 24.19 7.32 0.82 DD

[23] 1.59 6.36 5.20 DD

[25] 7.67 9.67 19.36

[0516] [Table 15]

[0517] Example 5

[0518]

[0519] [Example 6]

[0520] The structure and movement trajectory of the variable magnification optical system of Example 6 are shown in FIG. Fig.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, 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 first lens group G1, the second lens group G2, the third lens group G3 and the fourth lens group G4 change the intervals between the adjacent lens groups and move along the optical axis Z, and the fifth lens group G5 is fixed relative to the image plane Sim. The focusing group includes the fourth lens group G4, and when focusing from an object at infinity to the nearest object, the focusing group moves toward the image side.

[0521] 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 six lenses, aperture stop St and lenses L31 to L36, in order from the object side to the image side. The fourth lens group G4 includes one lens, L41. The fifth lens group G5 includes one lens, L51.

[0522] Regarding the variable magnification optical system of Example 6, basic lens data is shown in Table 16, specifications and variable surface intervals are shown in Table 17, aspheric coefficients are shown in Table 18, and various aberration diagrams are shown in Table 19. Fig.14 .

[0523] [Table 16] Example 6

[0524] Sn R D Nd vd θgF ED 1 67.5702 1.4999 1.92286 20.88 0.63992 50.00 2 44.0811 5.8577 1.59283 68.63 0.54286 48.12 3 119.4873 0.1000 47.75 4 50.4385 5.0988 1.83508 44.49 0.56128 46.76 5 168.8211 DD[5] 46.18 *6 153.2642 1.3008 1.85135 40.10 0.56954 31.21 *7 13.1404 8.0528 22.22 8 -32.6248 0.8091 1.65063 36.63 0.58610 21.43 9 19.4056 5.5324 1.92119 26.36 0.61134 20.19 10 -42.3436 1.4705 19.63 11 21.6039 0.8000 1.74063 53.94 0.54543 19.00 12 -50.2245 DD

[12] 19.08 13(St) ∞ 0.7992 18.88 *14 30.5822 2.7057 1.69471 40.30 0.57530 20.00 *15 1357.1009 6.2863 20.05 16 39.4016 0.7997 1.68826 35.77 0.58748 20.78 17 15.6188 6.9679 1.54084 75.63 0.54053 20.26 18 -37.5651 0.1574 20.21 19 91.9991 3.3369 1.56938 71.78 0.54251 19.49 20 -31.5848 0.8001 1.84242 43.39 0.56342 19.11 21 29.8153 0.9374 18.58 *22 19.9281 5.4136 1.49700 81.61 0.53887 19.07 *23 -25.6009 DD

[23] 18.90 24 136.8929 0.7000 1.59349 67.00 0.53667 18.00 25 21.0741 DD

[25] 17.91 *26 -189.2358 5.7849 1.59201 67.02 0.53589 23.77 *27 -49.5684 19.3500 25.12

[0525] [Table 17] Example 6

[0526] Wide Middle Tele Zr 1.0 2.0 4.4 f 16.49 32.99 73.22 FNo. 2.88 2.88 2.88 2ω[°] 86.4 44.6 20.8 DD[5] 0.80 13.83 32.28 DD

[12] 24.45 7.64 0.64 DD

[23] 1.68 6.46 4.71 DD

[25] 6.46 8.21 18.54

[0527] [Table 18]

[0528] Example 6

[0529]

[0530] [Example 7]

[0531] The structure and movement trajectory of the variable magnification optical system of Example 7 are shown in FIG. Fig.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 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 first lens group G1, the second lens group G2, the third lens group G3 and the fourth lens group G4 change the intervals between the adjacent lens groups and move along the optical axis Z, and the fifth lens group G5 is fixed relative to the image plane Sim. The focusing group includes the fourth lens group G4, and when focusing from an object at infinity to the nearest object, the focusing group moves toward the image side.

[0532] 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 six lenses, aperture stop St and lenses L31 to L36, in order from the object side to the image side. The fourth lens group G4 includes one lens, L41. The fifth lens group G5 includes one lens, L51.

[0533] Regarding the variable magnification optical system of Example 7, basic lens data is shown in Table 19, specifications and variable surface intervals are shown in Table 20, aspheric coefficients are shown in Table 21, and various aberration diagrams are shown in Table 23. Fig.16 .

[0534] [Table 19]

[0535] Example 7

[0536] Sn R D Nd vd θgF ED 1 66.4029 1.4999 1.92286 20.88 0.63992 50.00 2 43.4926 5.9054 1.59283 68.63 0.54286 48.15 3 120.9729 0.1000 47.83 4 50.9564 4.9130 1.84199 43.80 0.56255 46.94 5 169.5880 DD[5] 46.46 *6 156.5100 1.3001 1.85135 40.10 0.56954 31.32 *7 13.1460 8.0109 22.20 8 -32.9440 0.8095 1.64267 34.09 0.59372 21.42 9 19.4528 5.4081 1.92119 25.29 0.61640 20.13 10 -43.5381 1.4558 19.57 11 -21.7109 0.8002 1.75047 52.95 0.54685 19.00 12 -49.8579 DD

[12] 19.08 13(St) ∞ 0.8001 18.91 *14 31.0149 2.6793 1.69223 39.61 0.57695 20.00 *15 1880.6629 6.2587 20.03 16 39.7491 0.8055 1.67065 35.70 0.58813 20.80 17 15.7227 7.0395 1.53379 76.58 0.54004 20.34 18 -37.5240 0.1191 20.32 19 87.1020 3.4333 1.58140 70.16 0.54334 19.64 20 -30.8275 0.7994 1.83963 43.30 0.56372 19.25 21 29.2392 0.7600 18.67 *22 19.9178 5.3578 1.49700 81.61 0.53887 19.07 *23 -25.6690 DD

[23] 18.90 24 121.7636 0.7000 1.59349 67.00 0.53667 18.00 25 21.1918 DD

[25] 17.94 *26 -111.0063 6.1492 1.59201 67.02 0.53589 23.77 *27 -43.7233 19.8200 25.40

[0537] [Table 20]

[0538] Example 7

[0539] Wide Middle Tele Zr 1.0 2.0 4.7 f 16.49 32.99 78.18 FNo. 2.88 2.88 2.88 2ω[°] 87.6 45.2 19.8 DD[5] 0.80 13.83 33.48 DD

[12] 24.54 7.72 0.42 DD

[23] 1.56 6.33 3.73 DD

[25] 5.91 7.40 19.09

[0540] [Table 21]

[0541] Example 7

[0542]

[0543] [Example 8]

[0544] The structure and movement trajectory of the variable magnification optical system of Example 8 are shown in FIG. Fig.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 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 first lens group G1, the second lens group G2, the third lens group G3 and the fourth lens group G4 change the intervals between the adjacent lens groups and move along the optical axis Z, and the fifth lens group G5 is fixed relative to the image plane Sim. The focusing group includes the fourth lens group G4, and when focusing from an object at infinity to the nearest object, the focusing group moves toward the image side.

[0545] 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 six lenses, aperture stop St and lenses L31 to L36, 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 one lens, L51.

[0546] Regarding the variable magnification optical system of Example 8, basic lens data is shown in Table 22, specifications and variable surface intervals are shown in Table 23, aspheric coefficients are shown in Table 24, and various aberration diagrams are shown in Table 25. Fig.18 .

[0547] [Table 22]

[0548] Example 8

[0549] Sn R D Nd vd θgF ED 1 234.5288 1.2680 1.91711 19.14 0.64785 50.60 2 137.2985 0.0200 49.60 3 137.2985 3.1564 1.48749 70.44 0.53062 49.59 4 1612.5329 0.0488 49.05 5 41.8647 6.6116 1.50343 80.63 0.53790 44.60 6 220.6656 DD[6] 43.81 *7 43.0824 0.7498 1.65839 59.76 0.54301 26.20 *8 11.0391 7.9350 19.13 *9 -21.6292 0.9998 1.58543 40.05 0.57909 18.47 *10 71.9763 0.0483 17.85 11 47.0396 2.7825 2.00001 23.37 0.62704 17.80 12 -52.0595 2.1664 17.55 13 -15.5292 0.4998 1.44404 89.67 0.53215 17.33 14 -86.0005 DD

[14] 17.34 15(St) ∞ 0.0000 16.80 *16 27.3070 4.1732 1.76736 35.01 0.58757 17.48 *17 -82.2728 1.3438 18.21 18 175.8865 0.5015 1.78572 26.58 0.61294 18.14 19 15.8583 4.2678 1.51286 79.19 0.53843 17.95 20 136.1151 0.1546 18.28 21 29.8794 5.0326 1.51286 79.19 0.53843 18.75 22 -31.1720 0.6998 1.71445 29.28 0.60568 18.75 23 -119.3914 0.0484 18.88 *24 35.9267 5.4177 1.51286 79.19 0.53843 18.89 *25 -19.1045 DD

[25] 19.00 26 430.9087 2.7498 1.93641 25.98 0.61300 17.45 27 -26.4342 0.7098 1.86178 40.37 0.57012 17.10 28 25.6887 DD

[28] 16.00 *29 -84.8758 3.7502 1.59023 67.37 0.54252 22.52 *30 -48.0395 13.0100 24.39

[0550] [Table 23]

[0551] Example 8

[0552] Wide Middle Tele Zr 1.0 1.9 3.2 f 16.44 31.58 53.22 FNo. 2.88 2.88 2.88 2ω[°] 86.4 45.8 27.0 DD[6] 0.10 17.45 32.19 DD

[14] 13.95 4.59 2.00 DD

[25] 0.47 2.19 0.10 DD

[28] 10.43 15.35 26.98

[0553] [Table 24]

[0554] Example 8

[0555]

[0556] [Example 9]

[0557] The structure and movement trajectory of the variable magnification optical system of Example 9 are shown in FIG. Fig.19 The variable power 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 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.

[0558] The final lens group GE includes the fifth lens group G5. When zooming from the wide-angle end to the telephoto end, the first lens group G1, the second lens group G2, the third lens group G3 and the fourth lens group G4 change the intervals between the adjacent lens groups and move along the optical axis Z, and the fifth lens group G5 is fixed relative to the image plane Sim. The focus group includes the fourth lens group G4, and when focusing from an infinitely distant object to the closest object, the focus group moves toward the image side.

[0559] 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 six lenses, aperture stop St and lenses L31 to L36, in order from the object side to the image side. The fourth lens group G4 includes one lens, L41. The fifth lens group G5 includes one lens, L51.

[0560] Regarding the variable magnification optical system of Example 9, basic lens data is shown in Table 25, specifications and variable surface intervals are shown in Table 26, aspheric coefficients are shown in Table 27, and various aberration diagrams are shown in Table 28. Fig. 20 .

[0561] [Table 25]

[0562] Example 9

[0563] Sn R D Nd vd θgF ED 1 79.5371 1.2500 1.92286 20.88 0.63992 50.00 2 58.0068 4.3887 1.59283 68.63 0.54286 48.71 3 137.9001 0.0489 48.22 4 50.3129 6.1194 1.59888 65.99 0.54299 46.57 5 317.1182 DD[5] 45.74 *6 185.1125 1.2500 1.78860 50.20 0.55039 30.82 *7 14.5610 7.8093 21.72 8 -28.5317 0.8102 1.61201 36.80 0.58670 21.19 9 23.7196 4.5111 1.99391 28.89 0.60046 19.57 10 -44.9709 1.2734 19.08 *11 -20.9882 0.8000 1.50696 72.83 0.53394 19.00 *12 -170.6727 DD

[12] 18.60 13(St) ∞ 0.0300 15.67 *14 27.3824 2.3474 1.72729 56.33 0.54273 16.56 *15 -5171.6327 1.2575 16.68 16 28.3016 0.8250 1.77225 43.20 0.56625 17.26 17 14.0442 5.2317 1.59345 66.86 0.54270 16.91 18 -41.0601 0.0502 16.90 19 -243.9579 3.5917 1.50000 55.14 0.55220 16.69 20 136.2119 0.8750 1.83010 23.94 0.61987 16.08 21 25.0442 5.6379 15.80 *22 18.8588 4.6162 1.50000 81.15 0.53770 18.00 *23 -30.0486 DD

[23] 18.00 *24 121.2733 0.6251 1.59201 67.02 0.53589 18.00 *25 18.8109 DD

[25] 17.99 26 133.6076 3.0000 1.59201 67.02 0.53589 25.03 27 -90.1338 15.4300 25.37

[0564] [Table 26] Example 9

[0565] Wide Middle Tele Zr 1.0 1.9 3.2 f 16.42 31.54 53.16 FNo. 2.88 2.88 2.88 2ω[°] 85.6 45.4 27.6 DD[5] 0.10 15.89 29.38 DD

[12] 20.59 7.06 2.40 DD

[23] 0.11 2.20 0.48 DD

[25] 5.53 8.98 17.13

[0566] [Table 27]

[0567] Example 9

[0568]

[0569] [Example 10]

[0570] The structure and movement trajectory of the variable magnification optical system of Example 10 are shown in FIG. Figure 21 The variable power 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 negative refractive power, and a fifth lens group G5 having positive refractive power. The middle group GM includes the third lens group G3 and the fourth lens group G4.

[0571] The final lens group GE includes the fifth lens group G5. When zooming from the wide-angle end to the telephoto end, all lens groups change the intervals between adjacent lens groups and move along the optical axis Z. The focus group includes the fourth lens group G4, and when focusing from an infinitely distant object to the closest object, the focus group moves toward the image side.

[0572] 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 five lenses, aperture stop St and lenses L31 to L35, in order from the object side to the image side. The fourth lens group G4 includes one lens, L41. The fifth lens group G5 includes three lenses, L51 to L53, in order from the object side to the image side.

[0573] Regarding the variable magnification optical system of Example 10, basic lens data is shown in Table 28, specifications and variable surface intervals are shown in Table 29, aspheric coefficients are shown in Table 30, and various aberration diagrams are shown in Table 31. Figure 22 .

[0574] [Table 28] Example 10

[0575] Sn R D Nd v d θgF ED 1 448.8748 1.6997 1.90001 20.00 0.64194 68.00 2 138.6900 5.9441 1.73922 55.28 0.54344 66.67 3 -775.1112 0.0488 66.35 4 74.8502 5.0563 1.81624 47.40 0.55551 62.10 5 166.7438 DD[5] 61.27 *6 56.5728 1.0101 1.90001 38.83 0.57319 39.37 *7 18.5054 12.3426 30.00 8 -54.2647 0.7804 1.67291 59.05 0.54250 29.44 9 46.0474 7.3514 1.73146 28.43 0.60807 29.76 10 -35.8563 1.3000 29.92 *11 25.4207 0.7728 1.43599 67.00 0.52556 29.79 *12 84.5329 DD

[12] 29.92 13(St) ∞ 2.3495 23.56 *14 74.0130 1.6120 1.56608 71.09 0.54127 24.58 *15 -664.3833 6.1388 24.78 16 56.5830 7.2037 1.56289 71.57 0.54110 27.80 17 -26.2627 0.7383 1.73682 29.59 0.60418 28.27 18 -30.6483 0.0496 28.82 *19 332.2425 0.7384 1.72165 30.48 0.60211 28.81 *20 29.9384 0.0465 28.57 21 27.6198 7.6181 1.57970 69.01 0.54198 28.65 22 -47.6310 DD

[22] 28.78 *23 104.7506 0.7048 1.84448 44.51 0.56092 27.40 *24 25.6513 DD

[24] 26.79 25 47.3683 7.7893 1.57051 41.78 0.57605 31.37 26 -35.4520 1.3512 31.54 27 -2384.9180 0.7665 1.54643 46.29 0.56764 29.66 28 43.6768 7.4675 29.00 29 -22.6279 0.8120 1.90001 35.85 0.58154 28.98 30 -45.4509 DD

[30] 31.48

[0576] [Table 29] Example 10

[0577] Wide Middle Tele Zr 1.0 1.8 2.7 f 24.70 44.07 67.76 FNo. 2.90 2.90 2.91 2ω[°] 85.2 50.6 33.6 DD[5] 1.10 16.23 37.01 DD

[12] 21.67 8.09 2.33 DD

[22] 3.84 2.05 1.10 DD

[24] 7.76 7.55 6.83 DD

[30] 12.00 24.57 30.51

[0578] [Table 30]

[0579] Example 10

[0580]

[0581] [Example 11]

[0582] 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, a sixth lens group G6 having positive 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, all lens groups change the intervals between adjacent lens groups and move along the optical axis Z.

[0583] The focusing group includes the fifth lens group G5, and when focusing from an object at infinity to a closest object, the focusing group moves toward the image side.

[0584] 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 three lenses, an aperture stop St and lenses L31 to L33, 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 one lens, L51. The sixth lens group G6 includes two lenses, L61 to L62, in order from the object side to the image side. The seventh lens group G7 includes one lens, L71.

[0585] Regarding the variable magnification optical system of Example 11, basic lens data is shown in Table 31, specifications and variable surface intervals are shown in Table 32, aspheric coefficients are shown in Table 33, and various aberration diagrams are shown in Table 34. Figure 24 .

[0586] [Table 31]

[0587] Embodiment 11

[0588] Sn R D Nd v d θgF ED 1 1096.8789 1.5616 1.93393 18.30 0.65369 62.00 2 344.2924 3.6116 1.43601 90.90 0.53134 61.29 3 -346.0898 0.0500 61.00 4 55.7302 7.5585 1.54414 57.60 0.54643 56.11 5 307.3548 DD[5] 55.22 *6 107.1565 0.7772 1.76513 52.63 0.54690 30.07 *7 17.8608 7.0171 24.00 8 -41.2629 1.6945 1.53532 75.77 0.53965 23.76 9 19.1679 7.8603 1.72951 31.93 0.59776 23.32 10 -80.9833 2.4447 22.64 11 -22.2956 0.5987 1.59015 67.38 0.54252 22.52 12 -51.1260 DD

[12] 22.89 13(St) ∞ 1.1632 22.94 *14 46.4690 6.1794 1.66067 59.65 0.54295 24.42 *15 -73.0107 2.5824 24.80 16 46.0080 7.5880 1.44672 89.26 0.53242 24.37 17 -22.3901 0.8239 1.89225 32.05 0.59280 23.81 18 -4961.1264 DD

[18] 24.36 19 25.8059 7.8431 1.43600 90.90 0.53134 26.00 20 -31.3914 0.0497 26.28 *21 -349.8784 2.2101 1.55662 72.53 0.54077 26.01 *22 -45.2250 DD

[22] 25.97 *23 206.1014 1.0606 1.72110 54.34 0.54543 25.92 *24 28.8879 DD

[24] 25.50 25 65.6805 8.1171 1.88464 29.20 0.60199 38.01 26 -48.9122 1.1773 1.59889 38.11 0.58345 37.93 27 109.7356 DD

[27] 36.55 28 -55.4265 0.9546 1.56193 71.72 0.54105 36.27 29 104.3863 DD

[29] 37.28

[0589] [Table 32]

[0590] Embodiment 11

[0591] Wide Middle Tele Zr 1.0 1.7 2.5 f 26.67 45.12 66.68 FN0. 2.92 2.92 2.92 2ω[°] 79.8 49.2 34.6 DD[5] 1.46 19.96 28.09 DD

[12] 12.11 4.77 0.54 DD

[18] 7.92 4.30 3.24 DD

[22] 2.55 1.45 1.53 DD

[24] 12.83 22.71 32.86 DD

[27] 6.29 8.74 5.31 DD

[29] 11.99 12.30 17.14

[0592] [Table 33]

[0593] Embodiment 11

[0594]

[0595] [Example 12]

[0596] 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 positive refractive power, a sixth lens group G6 having positive 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, all lens groups change the intervals between adjacent lens groups and move along the optical axis Z. When zooming from the wide-angle end to the telephoto end, the fourth lens group G4 and the seventh lens group G7 move in the same moving trajectory. When focusing, the fifth lens group G5 and the sixth lens group G6 change the intervals between each other and move. The object side focus group includes the fifth lens group G5, and the image side focus group includes the sixth lens group G6. When focusing from an infinitely distant object to a closest object, the object side focus group and the image side focus group move toward the object side.

[0597] The first lens group G1 includes three lenses L11 to L13 in order from the object side to the image side, and the second lens group G2 includes four lenses L21 to L24 in order from the object side to the image side.

[0598] The third lens group G3 includes an aperture stop St and two lenses, L31 to L32, 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. The sixth lens group G6 includes one lens, L61. The seventh lens group G7 includes three lenses, L71 to L73, in order from the object side to the image side.

[0599] Regarding the variable magnification optical system of Example 12, basic lens data is shown in Table 34, specifications and variable surface intervals are shown in Table 35, aspheric coefficients are shown in Table 36, and various aberration diagrams are shown in Table 37. Figure 26 .

[0600] [Table 34] Example 12

[0601] Sn R D Nd v d θgF ED 1 75.2092 1.9998 1.91753 19.12 0.64799 64.00 2 56.9916 4.9581 1.77746 51.36 0.54871 60.05 3 89.4763 0.0500 58.61 4 58.7061 6.9894 1.48749 70.32 0.52917 55.60 5 270.1760 DD[5] 54.56 *6 49.7684 0.9462 1.62597 61.78 0.54356 36.80 *7 15.4526 9.6246 26.32 8 -52.5425 0.6500 1.70706 52.40 0.54948 25.15 9 35.1263 0.0500 23.05 10 29.6028 3.6509 1.84713 22.64 0.62854 22.89 11 32456.2274 3.4372 22.10 12 -21.7802 0.5910 1.72984 54.29 0.54519 21.96 13 -38.1719 DD

[13] 22.71 14(St) ∞ 1.9513 23.79 *15 171.3135 1.3762 1.80610 40.73 0.56940 25.30 *16 538.9825 0.0500 25.69 17 44.1206 4.1852 1.47099 85.57 0.53488 27.14 18 -137.2287 DD

[18] 27.42 19 57.8906 0.7358 1.58122 39.88 0.57956 28.14 20 19.7722 10.6496 1.48849 82.90 0.53665 27.87 21 -33.6095 DD

[21] 27.99 22 -25.4202 0.6528 1.96068 32.48 0.58948 25.17 23 -55.9445 0.0500 26.00 24 31.0471 6.7074 1.49710 81.59 0.53752 27.00 25 -45.2227 DD

[25] 27.00 *26 -7848.5070 4.6742 1.68885 58.27 0.54210 27.45 *27 -38.3404 DD

[27] 28.35 28 -69.7820 2.3282 2.00069 25.43 0.61417 28.32 29 -41.4180 0.0500 28.57 *30 -101.7653 1.2500 1.67311 59.04 0.54249 28.15 *31 39.5433 7.8369 28.02 *32 -23.6676 1.3752 1.67798 54.89 0.54485 28.20 *33 -52.9681 DD

[33] 31.05

[0602] [Table 35]

[0603] Example 12

[0604] Wide Middle Tele Zr 1.0 1.8 2.7 f 24.62 43.93 67.54 FNo. 2.88 2.92 2.92 2ω[°] 86.2 51.2 34.4 DD[5] 0.30 16.93 27.40 DD

[13] 11.52 5.63 2.41 DD

[18] 6.25 2.74 1.10 DD

[21] 5.06 7.50 9.20 DD

[25] 9.03 8.50 8.18 DD

[27] 4.09 2.19 0.80 DD

[33] 10.30 22.09 34.42

[0605] [Table 36]

[0606] Example 12

[0607]

[0608] [Example 13]

[0609] 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 positive refractive power, a sixth lens group G6 having positive 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, all lens groups change the intervals between adjacent lens groups and move along the optical axis Z. When focusing, the fifth lens group G5 and the sixth lens group G6 change the intervals between each other and move.

[0610] The object side focus group includes the fifth lens group G5, and the image side focus group includes the sixth lens group G6. When focusing from an infinitely distant object to a closest object, the object side focus group and the image side focus group move toward the object side.

[0611] 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 two lenses, L31 to L32, 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. The sixth lens group G6 includes one lens, L61. The seventh lens group G7 includes three lenses, L71 to L73, in order from the object side to the image side.

[0612] Regarding the variable magnification optical system of Example 13, basic lens data is shown in Table 37, specifications and variable surface intervals are shown in Table 38, aspheric coefficients are shown in Table 39, and various aberration diagrams are shown in Table 39. Figure 28 .

[0613] [Table 37]

[0614] Embodiment 13

[0615] Sn R D Nd v d θgF ED 1 87.5546 1.9998 1.82155 23.92 0.61972 64.00 2 63.8178 5.2698 1.48749 70.32 0.52917 60.67 3 123.0825 0.0482 59.62 4 54.7271 8.1691 1.48749 70.32 0.52917 55.60 5 473.5191 DD[5] 54.54 *6 35.5731 0.8128 1.88563 40.30 0.56957 31.53 *7 16.4878 7.7519 25.12 8 -68.7503 0.6359 1.57060 57.71 0.54556 24.50 9 34.6778 0.0474 22.18 10 28.3471 2.9234 1.93777 18.11 0.65503 22.39 11 95.3360 3.8698 22.12 12 -24.4374 0.5948 1.78720 50.37 0.55014 22.00 13 -112.5108 DD

[13] 22.87 14(St) ∞ 0.0000 24.11 *15 108.0960 1.8060 1.80610 40.73 0.56940 24.54 *16 -548.1834 0.0495 24.94 17 48.0267 2.9678 1.73192 46.52 0.56055 26.51 18 2317.3005 DD

[18] 26.65 19 60.8067 0.7041 1.63460 34.67 0.59220 27.25 20 17.8974 10.5880 1.54387 74.47 0.54011 27.03 21 -37.8119 DD

[21] 27.21 22 -29.0747 0.6549 1.99564 25.57 0.61462 25.05 23 -84.5848 0.0495 25.76 24 29.6882 6.4555 1.49961 81.21 0.53768 27.00 25 -51.2844 DD

[25] 27.00 *26 53.6001 6.1640 1.72316 42.52 0.56940 27.91 *27 -49.1560 DD

[27] 28.48 28 -75.9453 2.0729 2.00069 25.43 0.61417 28.13 29 -44.5487 0.0492 28.29 *30 373.2497 1.2498 1.78209 50.89 0.54939 27.23 *31 23.6440 11.4866 25.49 *32 -18.9244 1.4360 1.58913 61.15 0.53824 27.83 *33 -37.3079 DD

[33] 30.64

[0616] [Table 38]

[0617] Embodiment 13

[0618] Wide Middle Tele Zr 1.0 1.8 2.7 f 24.63 43.94 67.56 FNo. 2.92 2.91 2.92 2ω[°] 86.2 51.0 34.4 DD[5] 0.30 16.13 23.41 DD

[13] 9.86 5.29 2.30 DD

[18] 7.51 4.01 1.10 DD

[21] 5.22 7.32 9.59 DD

[25] 4.02 2.96 2.39 DD

[27] 1.69 0.80 0.80 DD

[33] 10.20 22.16 34.26

[0619] [Table 39]

[0620] Embodiment 13

[0621]

[0622] [Example 14]

[0623] 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 positive refractive power, a sixth lens group G6 having positive 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, all lens groups change the intervals between adjacent lens groups and move along the optical axis Z. When focusing, the fifth lens group G5 and the sixth lens group G6 change the intervals between each other and move.

[0624] The object side focus group includes the fifth lens group G5, and the image side focus group includes the sixth lens group G6. When focusing from an infinitely distant object to a closest object, the object side focus group and the image side focus group move toward the object side.

[0625] 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 two lenses, L31 to L32, 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. The sixth lens group G6 includes one lens, L61. The seventh lens group G7 includes three lenses, L71 to L73, in order from the object side to the image side.

[0626] Regarding the variable magnification optical system of Example 14, basic lens data is shown in Table 40, specifications and variable surface intervals are shown in Table 41, aspheric coefficients are shown in Table 42, and various aberration diagrams are shown in Table 43. Figure 30 .

[0627] [Table 40] Example 14

[0628] Sn R D Nd v d θgF ED 1 85.4035 1.9998 1.84615 22.69 0.62832 64.00 2 62.9483 5.2702 1.48749 70.32 0.52917 59.87 3 123.4398 0.0248 58.87 4 58.2891 7.6776 1.48749 70.32 0.52917 55.60 5 524.7122 DD[5] 54.58 *6 34.5620 0.7908 1.89821 39.01 0.57273 30.69 *7 16.4764 7.4776 24.42 8 -78.5835 0.6164 1.52347 77.58 0.53901 23.77 9 33.0723 0.0362 21.44 10 30.6628 2.6945 1.92623 19.06 0.64878 21.51 11 114.3505 3.1413 21.30 *12 -24.4275 0.5759 1.77150 51.97 0.54783 21.28 *13 -113.2017 DD

[13] 22.17 14(St) ∞ 0.0000 23.26 *15 110.9526 1.6761 1.80610 40.73 0.56940 23.82 *16 -508.0808 0.0351 24.09 17 47.1874 2.9278 1.71841 56.80 0.54255 25.52 18 -2250.0033 DD

[18] 25.70 19 57.4011 0.6842 1.64106 34.98 0.59111 26.43 20 19.0219 9.7773 1.53945 75.14 0.53987 26.35 21 -34.5952 DD

[21] 26.60 22 -28.0146 0.6543 2.00000 26.87 0.60688 24.82 23 -83.9027 0.0411 25.61 24 29.2078 6.5859 1.49229 82.32 0.53704 27.00 25 -49.4474 DD

[25] 27.00 *26 52.6945 5.0308 1.75166 47.59 0.55745 27.76 *27 -47.9160 DD

[27] 27.98 28 -80.6573 2.1705 2.00069 25.43 0.61417 27.58 29 -43.1507 0.0325 27.70 *30 717.1820 1.2499 1.79919 49.14 0.55213 26.60 *31 22.7717 10.6934 25.00 *32 -18.6246 1.3748 1.58913 61.15 0.53824 26.99 *33 -44.6204 DD

[33] 30.40

[0629] [Table 41]

[0630] Embodiment 14

[0631] Wide Middle Tele Zr 1.0 1.8 2.7 f 23.80 42.46 65.28 FNo. 2.91 2.91 2.92 2ω[°] 87.6 52.6 35.2 DD[5] 0.28 10.66 23.48 DD

[13] 10.28 4.36 2.28 DD

[18] 7.05 3.17 1.09 DD

[21] 4.98 6.92 9.30 DD

[25] 3.02 2.63 1.70 DD

[27] 1.65 1.36 0.77 DD

[33] 9.18 20.72 30.77

[0632] [Table 42]

[0633] Embodiment 14

[0634]

[0635] [Example 15]

[0636] 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, 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, all lens groups change the intervals between adjacent lens groups and move along the optical axis Z. The focusing group includes the fifth lens group G5, and when focusing from an object at infinity to the nearest object, the focusing group moves toward the object side.

[0637] 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 two lenses, aperture stop St and lenses L31 to L32, 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 three lenses, L51 to L53, in order from the object side to the image side. The sixth lens group G6 includes three lenses, L61 to L63, in order from the object side to the image side.

[0638] Regarding the variable magnification optical system of Example 15, basic lens data is shown in Table 43, specifications and variable surface intervals are shown in Table 44, aspheric coefficients are shown in Table 45, and various aberration diagrams are shown in Table 46. Figure 32 .

[0639] [Table 43]

[0640] Embodiment 15

[0641] Sn R D Nd v d θgF ED 1 71.7165 1.5744 1.80610 33.34 0.59048 63.00 2 51.7543 7.1666 1.48749 70.32 0.52917 59.27 3 118.3569 0.0425 57.94 4 58.1591 7.0752 1.48749 70.32 0.52917 54.40 5 326.7696 DD[5] 53.36 *6 67.0295 0.9124 1.75480 46.34 0.56010 36.50 *7 16.9661 9.2604 27.11 8 -68.9715 0.6794 1.60686 64.77 0.54344 26.20 9 43.5666 0.0375 24.50 10 37.5254 4.1274 1.82212 23.89 0.61978 24.38 11 -181.9522 2.5020 23.49 12 -26.5160 0.7383 1.62123 48.89 0.55956 23.28 13 -75.9754 DD

[13] 23.83 14(St) ∞ 2.5004 24.41 *15 80.7969 2.1077 1.80610 40.73 0.56940 27.19 *16 1933.9999 0.0467 27.47 17 45.1890 5.0530 1.56574 71.14 0.54125 28.83 18 -92.0999 DD

[18] 28.93 19 69.5984 0.7412 1.82484 28.31 0.60626 28.69 20 24.7147 8.3427 1.47027 85.68 0.53481 27.88 21 -45.5955 DD

[21] 27.95 22 -23.0319 0.6263 1.84234 36.55 0.58110 22.60 23 -51.6476 0.0422 24.12 24 42.5318 6.6150 1.55224 73.19 0.54054 27.58 25 -37.1890 8.2722 28.00 *26 -125.9263 2.8750 1.80610 40.73 0.56940 28.88 *27 -44.9594 DD

[27] 29.45 28 -62.6025 2.8168 2.00069 25.46 0.61402 30.18 29 -36.5748 0.0416 30.56 *30 -47.4647 1.7500 1.80610 40.73 0.56940 30.43 *31 -157.7842 4.2271 31.00 *32 -21.2612 0.8538 1.72207 56.62 0.54261 30.70 *33 -83.5279 DD

[33] 33.15

[0642] [Table 44]

[0643] Embodiment 15

[0644] Wide Middle Tele Zr 1.0 1.8 2.7 f 24.70 44.07 67.77 FNo. 2.88 2.88 2.88 2ω[°] 86.4 50.8 34.0 DD[5] 0.19 16.74 27.26 DD

[13] 15.69 5.81 2.30 DD

[18] 6.86 3.39 0.39 DD

[21] 5.95 14.28 24.77 DD

[27] 5.08 5.31 2.10 DD

[33] 10.29 15.93 23.05

[0645] [Table 45]

[0646] Embodiment 15

[0647]

[0648] [Example 16]

[0649] 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 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, all lens groups change the intervals between adjacent lens groups and move along the optical axis Z. The focusing group includes the fifth lens group G5, and when focusing from an object at infinity to the nearest object, the focusing group moves toward the image side.

[0650] 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 two lenses, aperture stop St and lenses L31 to L32, in order from the object side to the image side. The fourth lens group G4 includes four lenses, L41 to L44, in order from the object side to the image side. The fifth lens group G5 includes three lenses, L51 to L53, in order from the object side to the image side. The sixth lens group G6 includes one lens, L61.

[0651] Regarding the variable magnification optical system of Example 16, basic lens data is shown in Table 46, specifications and variable surface intervals are shown in Table 47, aspheric coefficients are shown in Table 48, and various aberration diagrams are shown in Table 49. Figure 34 .

[0652] [Table 46] Example 16

[0653] Sn R D Nd v d θgF ED 1 185.4356 1.6998 2.00069 25.46 0.61402 68.00 2 117.0846 5.8609 1.77406 51.71 0.54821 65.47 3 3139.3192 0.0487 64.41 4 96.4814 4.8581 1.48749 70.32 0.52917 57.40 5 478.2547 DD[5] 56.51 *6 199.6561 1.1669 1.46766 86.08 0.53454 45.59 *7 16.9403 10.2003 29.80 8 -86.0681 0.7582 1.51856 78.32 0.53874 29.34 9 33.3739 0.0427 26.77 10 27.3870 4.5743 1.79904 25.55 0.61601 26.58 11 67.6044 4.6388 25.11 12 -31.1136 0.6295 1.65135 33.47 0.59535 24.25 13 -58.9444 DD

[13] 24.06 14(St) ∞ 0.0251 23.86 *15 36.2874 1.9618 1.86274 42.64 0.56440 24.98 *16 56.9214 3.6533 24.90 17 92.7198 2.2538 1.43751 90.67 0.53149 26.01 18 -1400.8606 DD

[18] 26.19 *19 48.7951 3.7069 1.72404 56.52 0.54265 26.93 *20 -76.1333 0.0478 26.62 21 -935.4759 0.6893 1.78084 32.11 0.59579 26.61 22 22.7013 10.0138 1.47622 84.77 0.53541 26.26 23 -62.0200 0.0490 27.20 *24 63.7975 7.7424 1.49146 82.45 0.53695 28.40 *25 -24.5473 DD

[25] 28.86 26 141.9261 2.4270 2.00069 25.46 0.61402 27.16 27 -185.1221 0.0440 26.89 28 414.1101 0.6857 1.71857 55.70 0.54369 26.46 29 20.9709 13.8466 24.84 *30 -25.7406 0.8009 1.64929 58.37 0.54288 27.38 *31 -256.4710 DD

[31] 31.02 32 85.5278 5.8393 1.63645 51.62 0.55359 34.60 33 -68.7096 DD

[33] 35.48

[0654] [Table 47] Example 16

[0655] Wide Middle Tele Zr 1.0 1.8 2.7 f 24.80 44.26 68.04 FNo. 2.96 2.96 2.99 2ω[°] 85.8 50.8 34.4 DD[5] 0.10 15.62 29.77 DD

[13] 17.48 8.04 2.41 DD

[18] 8.31 3.27 1.24 DD

[25] 1.25 0.42 0.10 DD

[31] 1.67 7.90 11.50 DD

[33] 13.75 24.12 35.36

[0656] [Table 48]

[0657] Example 16

[0658]

[0659] [Example 17]

[0660] The structure and movement trajectory of the variable magnification optical system of Example 17 are shown in FIG. Figure 35 . The zoom optical system of Example 17 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 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, all lens groups change the intervals between adjacent lens groups and move along the optical axis Z. When zooming from the wide-angle end to the telephoto end, the fourth lens group G4 and the sixth lens group G6 move in the same moving trajectory.

[0661] The focusing group includes the fifth lens group G5, and when focusing from an object at infinity to a closest object, the focusing group moves toward the image side.

[0662] 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 two lenses, aperture stop St and lenses L31 to L32, in order from the object side to the image side. The fourth lens group G4 includes four lenses, L41 to L44, in order from the object side to the image side. The fifth lens group G5 includes three lenses, L51 to L53, in order from the object side to the image side. The sixth lens group G6 includes one lens, L61. The seventh lens group G7 includes one lens, L71.

[0663] Regarding the variable magnification optical system of Example 17, basic lens data is shown in Table 49, specifications and variable surface intervals are shown in Table 50, aspheric coefficients are shown in Table 51, and various aberration diagrams are shown in Table 52. Figure 36 .

[0664] [Table 49]

[0665] Embodiment 17

[0666] Sn R D Nd v d θgF ED 1 136.9731 1.6053 1.80610 33.34 0.59048 64.00 2 117.6942 5.0055 1.48749 70.32 0.52917 62.95 3 675.3812 0.0498 62.26 4 48.8423 8.4506 1.48749 70.32 0.52917 56.48 5 178.2122 DD[5] 55.02 *6 239.9152 1.0850 1.57768 69.32 0.54187 38.41 *7 15.7158 8.9666 26.00 8 -44.9482 0.6647 1.43822 77.24 0.52569 25.63 9 31.6570 0.1000 23.54 10 27.7816 2.8847 1.99455 23.34 0.62718 23.42 11 56.1654 3.9590 22.57 12 -26.1327 1.3604 1.72401 28.80 0.60702 22.32 13 -37.5757 DD

[13] 22.34 14(St) ∞ 0.0000 22.70 *15 83.2529 1.7981 1.61881 63.85 0.54182 23.23 *16 -1601.3278 0.0498 23.49 17 54.3714 3.0457 1.45935 87.34 0.53370 24.28 18 -133.5754 DD

[18] 24.51 *19 139.1196 1.9939 1.88882 39.97 0.57034 24.72 *20 -86.4991 1.7416 25.02 21 -91.9752 0.6852 1.83980 32.70 0.59230 25.18 22 35.5534 7.5648 1.43789 90.61 0.53153 25.91 23 -26.1917 1.6363 26.63 *24 68.8964 7.3236 1.50344 80.63 0.53790 28.00 *25 -23.5601 DD

[25] 28.47 26 72.0742 4.2934 2.00069 25.46 0.61402 26.60 27 -94.0152 0.0496 26.04 28 -148.7356 0.9012 1.90700 33.67 0.58759 25.68 29 20.2136 5.9839 23.83 *30 -60.0086 1.6719 1.85222 43.72 0.56238 24.01 *31 -226.2105 DD

[31] 26.32 *32 2247.7361 1.9441 1.51633 64.06 0.53345 32.41 *33 221.0369 DD

[33] 33.31 34 115.7596 3.4325 2.00069 25.46 0.61402 36.87 35 -237.2568 DD

[35] 37.00

[0667] [Table 50]

[0668] Embodiment 17

[0669] Wide Middle Tele Zr 1.0 1.8 2.7 f 24.30 43.36 66.66 FNo. 2.88 2.88 2.89 2ω[°] 86.4 53.4 36.4 DD[5] 0.20 10.86 25.06 DD

[13] 13.71 6.08 2.84 DD

[18] 11.86 3.03 0.10 DD

[25] 2.75 1.44 0.10 DD

[31] 2.49 3.80 5.14 DD

[33] 1.15 11.15 14.32 DD

[35] 15.57 22.28 30.41

[0670] [Table 51]

[0671] Embodiment 17

[0672]

[0673]

[0674] [Example 18]

[0675] The structure and movement trajectory of the variable magnification optical system of Example 18 are shown in FIG. Fig.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 positive refractive power, a fifth lens group G5 having negative 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, all lens groups change the intervals between adjacent lens groups and move along the optical axis Z. When focusing, the fifth lens group G5 and the sixth lens group G6 change the intervals between each other and move.

[0676] The object side focus group includes the fifth lens group G5, and the image side focus group includes the sixth lens group G6. When focusing from an infinitely distant object to a closest object, the object side focus group and the image side focus group move toward the image side.

[0677] 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 three lenses, an aperture stop St and lenses L31 to L33, in order from the object side to the image side. The fourth lens group G4 includes four lenses, L41 to L44, 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. The sixth lens group G6 includes one lens, L61. The seventh lens group G7 includes one lens, L71.

[0678] Regarding the variable magnification optical system of Example 18, basic lens data is shown in Table 52, specifications and variable surface intervals are shown in Table 53, aspheric coefficients are shown in Table 54, and various aberration diagrams are shown in Table 55. Fig.38 .

[0679] [Table 52]

[0680] Embodiment 18

[0681] Sn R D Nd vd 0gF ED 1 1547.4089 1.6633 1.89947 20.03 0.64175 66.00 2 312.4311 3.4919 1.54964 73.59 0.54040 65.25 3 -763.7402 0.0462 64.97 4 67.3550 6.9318 1.73505 55.70 0.54312 61.37 5 272.3923 DD[5] 60.56 *6 95.7170 1.0011 1.79999 49.06 0.55229 38.97 *7 18.8909 8.9298 29.55 8 -60.2098 0.7664 1.49861 81.36 0.53762 29.63 9 36.1654 0.0382 27.33 10 29.8797 3.6778 1.87327 24.90 0.61792 27.17 11 102.6257 4.6582 26.42 12 -24.8651 0.6863 1.50964 79.68 0.53825 26.41 13 -53.8647 DD

[13] 26.25 14(St) ∞ 1.5001 22.36 15 56.4923 2.8950 1.94036 20.99 0.63874 24.65 16 -192.6816 2.8817 24.82 17 37.9050 6.8846 1.46118 87.06 0.53389 25.76 18 -26.8241 0.6710 1.83567 28.00 0.60700 25.61 19 234.8691 DD

[19] 26.17 *20 85.8723 4.2047 1.81534 47.49 0.55533 27.17 *21 -40.5913 0.0460 27.53 22 -55.3176 0.6993 1.81400 24.30 0.61898 27.16 23 23.8053 6.7430 1.45767 87.60 0.53353 27.51 24 -90.1705 0.0411 28.09 *25 57.4395 5.2802 1.82051 46.95 0.55637 29.50 *26 -49.2731 DD

[26] 30.02 27 257.6459 3.7084 1.94172 20.30 0.64210 30.66 28 -56.6320 0.0463 30.65 29 256.1702 0.7447 1.72095 52.83 0.54817 29.12 30 24.1217 DD

[30] 27.34 *31 -44.0389 0.8336 1.78792 40.02 0.57317 30.40 *32 -570.1594 DD

[32] 32.02 33 131.2105 2.8761 1.84218 22.89 0.62689 37.43 34 -387.5090 DD

[34] 37.60

[0682] [Table 53] Example 18

[0683] Wide Middle Tele Zr 1.0 1.8 2.7 f 24.74 44.15 67.88 FNo. 2.88 2.88 2.88 2ω[°] 87.0 50.8 33.8 DD[5] 1.50 18.70 35.15 DD

[13] 13.09 4.77 1.99 DD

[19] 6.99 3.19 1.90 DD

[26] 2.68 2.60 1.49 DD

[30] 11.17 10.71 7.01 DD

[32] 8.13 15.81 22.62 DD

[34] 11.99 17.18 26.87

[0684] [Table 54] Example 18

[0685]

[0686]

[0687] [Example 19]

[0688] The structure and movement trajectory of the variable magnification optical system of Example 19 are shown in FIG. Fig.39 . The zoom optical system of Example 19 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, all lens groups change the intervals with adjacent lens groups and move along the optical axis Z. When focusing, the fourth lens group G4 and the fifth lens group G5 change the intervals between each other and move. The object side focus group includes the fourth lens group G4, and the image side focus group includes the fifth lens group G5. When focusing from an object at infinity to the closest object, the object side focus group and the image side focus group move toward the image side.

[0689] 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 seven lenses, aperture stop St and lenses L31 to L37, 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 one lens, L51. The sixth lens group G6 includes one lens, L61.

[0690] Regarding the variable magnification optical system of Example 19, basic lens data is shown in Table 55, specifications and variable surface intervals are shown in Table 56, aspheric coefficients are shown in Table 57, and various aberration diagrams are shown in Table 58. Fig.40 .

[0691] [Table 55]

[0692] Embodiment 19

[0693]

[0694]

[0695] [Table 56]

[0696] Embodiment 19

[0697] Wide Middle Tele Zr 1.0 1.8 2.7 f 25.89 46.21 71.04 FNo. 3.29 3.30 3.30 2ω[°] 83.2 50.4 33.2 DD[5] 1.45 8.57 24.63 DD

[13] 14.08 4.70 2.00 DD

[26] 1.79 2.85 1.62 DD

[30] 14.75 13.12 11.57 DD

[32] 3.27 23.47 22.65 DD

[34] 17.39 14.76 29.99

[0698] [Table 57]

[0699] Embodiment 19

[0700]

[0701]

[0702] [Example 20]

[0703] The structure and movement trajectory of the variable magnification optical system of Example 20 are shown in FIG. Fig.41 . The variable power 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 positive refractive power, a fifth lens group G5 having negative refractive power, a sixth lens group G6 having negative refractive power, a seventh lens group G7 having positive refractive power, and an eighth lens group G8 having negative 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 varying the power from the wide-angle end to the telephoto end, all lens groups change the intervals between adjacent lens groups and move along the optical axis Z. When focusing, the fifth lens group G5 and the sixth lens group G6 change the intervals between each other and move. The object side focus group includes the fifth lens group G5, and the image side focus group includes the sixth lens group G6. When focusing from an infinitely distant object to a closest object, the object side focus group and the image side focus group move toward the image side.

[0704] The first lens group G1 includes three lenses, namely, lenses L11 to L13, in order from the object side to the image side. The second lens group G2 includes four lenses, namely, lenses L21 to L24, in order from the object side to the image side. The third lens group G3 includes three lenses, namely, aperture stop St and lenses L31 to L33, in order from the object side to the image side. The fourth lens group G4 includes four lenses, namely, lenses L41 to L44, in order from the object side to the image side. The fifth lens group G5 includes two lenses, namely, lenses L51 to L52, in order from the object side to the image side. The sixth lens group G6 includes one lens, namely, lens L61. The seventh lens group G7 includes one lens, namely, lens L71. The eighth lens group G8 includes one lens, namely, lens L81.

[0705] Regarding the variable magnification optical system of Example 20, basic lens data is shown in Table 58, specifications and variable surface intervals are shown in Table 59, aspheric coefficients are shown in Table 60, and various aberration diagrams are shown in Table 61. Fig.42 .

[0706] [Table 58]

[0707] Embodiment 20

[0708]

[0709]

[0710] [Table 59]

[0711] Embodiment 20

[0712] Wide Middle Tele Zr 1.0 1.8 2.7 f 24.81 44.26 68.05 FNo. 2.92 2.92 2.92 2ω[°] 85.6 49.8 33.2 DD[5] 1.49 18.39 33.72 DD

[13] 13.39 4.30 2.00 DD

[19] 5.87 2.59 1.50 DD

[26] 2.05 2.97 1.83 DD

[30] 10.44 10.98 8.57 DD

[32] 5.43 13.06 22.97 DD

[34] 1.92 2.28 3.43 DD

[36] 12.00 12.91 16.09

[0713] [Table 60]

[0714] Embodiment 20

[0715]

[0716] Tables 61 to 65 show the corresponding values ​​of conditional expressions (1) to (40) of the variable power optical systems of Examples 1 to 20. "-" is written in the column without a corresponding lens. The corresponding values ​​of the examples shown in Tables 61 to 65 can be used as the upper limit or lower limit of the conditional expression to set the preferred range of the conditional expression.

[0717] [Table 61]

[0718] Type No. Example 1 Example 2 Example 3 Example 4 (1) DDL1STw / TLw 0.441 0.461 0.465 0.475 (2) Fnot / (ft / fw) 0.890 0.889 0.814 0.750 (3) Bfw / (ft×tanωt) 1.395 1.540 1.546 1.483 (4) fw / (ft×tanωt) 1.212 1.229 1.234 1.225 (5) f1 / fL1STw -4.035 -3.882 -3.748 -3.525 (6) f1 / fL1 0.492 0.534 0.522 0.529 (7) fw / fL1STw 0.739 0.736 0.740 0.732 (8) TLw / (ft×tanωt) 7.865 8.886 8.810 8.742 (9) β2t / β2w 1.619 1.714 1.874 2.072 (10) |DDG12w-DDG12t| / TLt 0.179 0.186 0.198 0.205 (11) DDL1STw / f1 0.524 0.632 0.656 0.704 (12) DDL1STw / {(fw×tanωw)×log(ft / fw)} 5.992 6.904 6.423 6.180 (13) TLw / fw 6.490 7.232 7.141 7.134 (14) TLt / ft 2.629 2.611 2.387 2.191 (15) TLt / (ft×tanωt) 10.315 10.397 10.424 10.310 (16) f1 / fw 5.457 5.272 5.066 4.814 (17) f1 / (-f2) 5.521 5.414 5.299 5.081 (18) f1 / (ft / Fnot) 4.855 4.687 4.123 3.611 (19) <![CDATA[f1 / (fw×ft) 1 / 2 ]]> 3.033 2.929 2.693 2.457 (20) Denw / {(fw×tanωw)×log(ft / fw)} 3.151 3.274 3.094 2.968 (21) <![CDATA[Denw / (fw×ft) 1 / 2 ]]> 0.836 0.878 0.851 0.831 (22) d1 / (Denw×tanωw) 0.065 0.061 0.060 0.059 (23) fw / Dexw -0.266 -0.223 -0.232 -0.243 (24) EDf / EDr 1.977 1.969 1.973 1.991 (25) EDf / TLw 0.473 0.419 0.425 0.425 (26) ft / fw 3.237 3.240 3.539 3.839 (27) NlDJ 1.884 1.923 1.923 1.923 (28) vl 20.81 20.88 20.88 20.88 (29) NdL1+0.01×v dL1 2.092 2.132 2.132 2.132 (30) N2 1.487 1.593 1.593 1.593 (31) v dL 70.44 68.63 68.63 68.63 (32) NdL2+0.01×v dL2 2.192 2.279 2.279 2.279 (33) |ffoc / fMt| 0.578 0.665 0.595 0.597 (34) <![CDATA[|(1-βft 2 )×βfRt 2 |]]> 3.360 2.186 2.269 2.308 (35) (1 / Rcnf-1 / Rcnr) / (1 / Rynf-1 / Rynr) - - - - (36) (1 / Rcpf-1 / Rcpr) / (1 / Rypf-1 / Rypr) - - - - (37) (1 / Rcsnf-1 / Rcsnr) / (1 / Rysnf-1 / Rysnr) - - - - (38) (1 / Rcipf-1 / Rcipr) / (1 / Ryipf-1 / Ryipr) - - - - (39) (1 / Rcinf-1 / Rcinr) / (1 / Ryinf-1 / Ryinr) - - - - (40) (1 / RcEpf-1 / RcEpr) / (1 / RyEpf-1 / RyEpr) 1.485 1.053 1.060 1.038

[0719] [Table 62]

[0720] Type No. Example 5 Example 6 Example 7 Example 8 (1) DDL1STw / TLw 0.476 0.473 0.472 0.433 (2) Fnot / (ft / fw) 0.696 0.649 0.607 0.890 (3) Bfw / (ft×tanωt) 1.456 1.440 1.452 1.018 (4) fw / (ft×tanωt) 1.231 1.227 1.209 1.287 (5) f1 / fL1STw -3.454 -3.396 -3.342 -5.126 (6) f1 / fL1 -0.535 -0.546 -0.543 -0.267 (7) fw / fL1STw -0.726 -0.723 -0.719 -0.869 (8) TLw / (ft×tanωt) 8.784 8.775 8.626 7.287 (9) β2t / β2w 2.248 2.440 2.640 1.775 (10) |DDG12w-DDG12t| / TLt 0.215 0.224 0.231 0.248 (11) DDL1STw / f1 0.713 0.720 0.725 0.416 (12) DDL1STw / {(fw × tanωw) × log(ft / fw)} 5.880 5.562 5.195 5.122 (13) TLw / fw 7.134 7.152 7.138 5.663 (14) TLt / ft 2.045 1.922 1.811 2.432 (15) TLt / (ft × tanωt) 10.425 10.470 10.378 10.129 (16) f1 / fw 4.758 4.695 4.645 5.897 (17) f1 / (-f2) 5.005 4.930 4.867 6.758 (18) f1 / (ft / Fnot) 3.310 3.045 2.822 5.246 (19) <![CDATA[f1 / (fw×ft) 1 / 2 ]]> 2.338 2.228 2.133 3.278 (20) Denw / {(fw × tanωw) × log(ft / fw)} 2.832 2.677 2.505 2.956 (21) <![CDATA[Denw / (fw×ft) 1 / 2 ]]> 0.804 0.772 0.746 0.787 (22) d1 / (Denw × tanωw) 0.059 0.060 0.058 0.058 (23) fw / Dexw -0.250 -0.252 -0.253 -0.329 (24) EDf / EDr 1.990 1.990 1.969 2.075 (25) EDf / TLw 0.425 0.424 0.425 0.544 (26) ft / fw 4.139 4.440 4.741 3.237 (27) NdL1 1.923 1.923 1.923 1.917 (28) v dL1 20.88 20.88 20.88 19.15 (29) NdL1 + 0.01 × v dL1 2.132 2.132 2.132 2.109 (30) NdL2 1.593 1.593 1.593 1.487 (31) v dL2 68.63 68.63 68.63 70.44 (32) NdL2 + 0.01 × v dL2 2.279 2.279 2.279 2.192 (33) |ffoc / fMt| 0.541 0.523 0.503 0.876 (34) <![CDATA[|(1-βft 2 )×βfRt 2 |]]> 2.339 2.299 2.331 3.469 (35) (1 / Rcnf - 1 / Rcnr) / (1 / Rynf - 1 / Rynr) - - - - (36) (1 / Rcpf - 1 / Rcpr) / (1 / Rypf - 1 / Rypr) - - - - (37) (1 / Rcsnf - 1 / Rcsnr) / (1 / Rysnf - 1 / Rysnr) - - - - (38) (1 / Rcipf - 1 / Rcipr) / (1 / Ryipf - 1 / Ryipr) - - - - (39) (1 / Rcinf - 1 / Rcinr) / (1 / Ryinf - 1 / Ryinr) - - - - (40) |(1 / RcEpf - 1 / RcEpr) / (1 / RyEpf - 1 / RyEpr)| 1.037 1.053 1.076 3.594

[0721] [Table 63]

[0722] Equation number Example 9 Example 10 Example 11 Example 12 (1) DDL1STw / TLw 0.499 0.461 0.365 0.363 (2) Fnot / (ft / fw) 0.890 1.061 1.168 1.064 (3) Bfw / (ft × tanωt) 1.181 0.587 0.577 0.492 (4) fw / (ft × tanωt) 1.258 1.207 1.284 1.177 (5) f1 / fL1STw -3.330 -3.079 -3.991 -5.084 (6) f1 / fL1 -0.360 -0.563 -0.212 -0.477 (7) fw / fL1STw -0.636 -0.605 -0.932 -0.970 (8) TLw / (ft × tanωt) 7.513 6.260 6.166 5.902 (9) β2t / β2w 1.956 1.666 1.470 1.406 (10) |DDG12w - DDG12t| / TLt 0.242 0.225 0.165 0.169 (11) DDL1STw / f1 0.569 0.470 0.409 0.347 (12) DDLlSTw / {(fw × tanωw) × log(ft / fw)} 6.310 5.934 5.458 4.435 (13) TLw / fw 5.974 5.185 4.801 5.013 (14) TLt / ft 2.279 2.353 2.424 2.374 (15) TLt / (ft × tanωt) 9.279 7.795 7.783 7.671 (16) f1 / fw 5.236 5.092 4.281 5.243 (17) f1 / (-f2) 4.779 4.313 5.471 6.989 (18) f1 / (ft / Fnot) 4.658 5.402 5.001 5.580 (19) <![CDATA[f1 / (fw×ft) 1 / 2 ]]> 2.910 3.075 2.708 3.165 (20) Denw / {(fw × tanωw) × log(ft / fw)} 3.365 3.163 3.323 3.049 (21) <![CDATA[Denw / (fw×ft) 1 / 2 ]]> 0.884 0.770 0.675 0.755 (22) d1 / (Denw × tanωw) 0.052 0.059 0.068 0.069 (23) fw / Dexw -0.315 -0.596 -0.443 -0.473 (24) EDf / EDr 1.971 2.160 1.663 2.061 (25) EDf / TLw 0.510 0.531 0.484 0.519 (26) ft / fw 3.237 2.743 2.500 2.744 (27) NdL1 1.923 1.900 1.934 1.918 (28) v dL1 20.88 20.00 18.30 19.12 (29) NdL1 + 0.01 × v dL1 2.132 2.100 2.117 2.109 (30) NdL2 1.593 1.739 1.436 1.777 (31) v dL2 68.63 55.28 90.84 51.36 (32) NdL2 + 0.01 × v dL2 2.279 2.292 2.344 2.291 (33) |ffoc / fMt| 0.730 1.006 1.062 1.865 (34) <![CDATA[|(1-βft 2 )×βfRt 2 |]]> 2.043 4.341 3.674 3.299 (35) (1 / Rcnf - 1 / Rcnr) / (1 / Rynf - 1 / Rynr) - - - - (36) (1 / Rcpf - 1 / Rcpr) / (1 / Rypf - 1 / Rypr) - - - - (37) (1 / Rcsnf - 1 / Rcsnr) / (1 / Rysnf - 1 / Rysnr) 1.000 0.960 1.029 - (38) (1 / Rcipf - 1 / Rcipr) / (1 / Ryipf - 1 / Ryipr) - - - 18.414 (39) (1 / Rcinf - 1 / Rcinr) / (1 / Ryinf - 1 / Ryinr) - - - - (40) |(1 / RcEpf - 1 / RcEpr) / (1 / RyEpf - 1 / RyEpr)| - - - -

[0723] [Table 64]

[0724] Equation number Example 13 Example 14 Example 15 Example 16 (1) DDL1STw / TLw 0.362 0.373 0.400 0.398 (2) Fnot / (ft / fw) 1.065 1.064 1.050 1.090 (3) Bfw / (ft×tanωt) 0.489 0.443 0.497 0.653 (4) fw / (ft×tanωt) 1.179 1.149 1.193 1.178 (5) f1 / fL1STw -5.974 -6.018 -4.595 -4.682 (6) f1 / fL1 -0.416 -0.440 -0.530 -0.431 (7) fw / fL1STw -1.188 -1.104 -0.895 -0.839 (8) TLw / (ft×tanωt) 5.581 5.296 6.040 6.212 (9) β2t / β2w 1.333 1.309 1.413 1.399 (10) |DDG12w - DDG12t| / TLt 0.152 0.163 0.168 0.176 (11) DDL1STw / f1 0.341 0.315 0.394 0.376 (12) DDL1STw / {(fw×tanωw)×log(ft / fw)} 4.188 4.086 4.919 5.154 (13) TLw / fw 4.736 4.609 5.064 5.275 (14) TLt / ft 2.246 2.185 2.375 2.478 (15) TLt / (ft×tanωt) 7.256 6.888 7.768 8.007 (16) f1 / fw 5.028 5.453 5.134 5.582 (17) f1 / (-f2) 7.995 7.947 6.296 6.234 (18) f1 / (ft / Fnot) 5.357 5.804 5.392 6.085 (19) <![CDATA[f1 / (fw×ft) 1 / 2 ]]> 3.037 3.292 3.100 3.371 (20) Denw / {(fw×tanωw)×log(ft / fw)} 2.990 2.905 3.173 3.122 (21) <![CDATA[Denw / (fw×ft) 1 / 2 ]]> 0.740 0.737 0.788 0.768 (22) d1 / (Denw×tanωw) 0.071 0.072 0.052 0.058 (23) fw / Dexw -0.499 -0.560 -0.533 -0.330 (24) EDf / EDr 2.089 2.105 1.900 1.917 (25) EDf / TLw 0.549 0.584 0.504 0.520 (26) ft / fw 2.741 2.743 2.742 2.743 (27) NdL1 1.822 1.846 1.806 2.001 (28) v dL1 23.92 22.69 33.34 25.46 (29) NdL1 + 0.01×v dL1 2.061 2.073 2.140 2.255 (30) NdL2 1.487 1.487 1.487 1.774 (31) v dL2 70.32 70.32 70.32 51.71 (32) NdL2 + 0.01×v dL2 2.191 2.191 2.191 2.291 (33) |ffoc / fMt| 1.404 1.395 1.190 0.789 (34) <![CDATA[|(1-βft 2 )×βfRt 2 |]]> 6.287 6.334 1.948 6.268 (35) (1 / Rcnf - 1 / Rcnr) / (1 / Rynf - 1 / Rynr) - - - 0.959 (36) (1 / Rcpf - 1 / Rcpr) / (1 / Rypf - 1 / Rypr) - - -37.927 - (37) (1 / Rcsnf - 1 / Rcsnr) / (1 / Rysnf - 1 / Rysnr) - - - - (38) (1 / Rcipf - 1 / Rcipr) / (1 / Ryipf - 1 / Ryipr) 4.044 3.739 - - (39) (1 / Rcinf - 1 / Rcinr) / (1 / Ryinf - 1 / Ryinr) - - - - (40) |(1 / RcEpf - 1 / RcEpr) / (1 / RyEpf - 1 / RyEpr)| - - - -

[0725] [Table 65]

[0726] Equation number Example 17 Example 18 Example 19 Example 20 (1) DDL1STw / TLw 0.381 0.365 0.417 0.361 (2) Fnot / (ft / fw) 1.054 1.050 1.202 1.064 (3) Bfw / (ft×tanωt) 0.710 0.581 0.820 0.591 (4) fw / (ft×tanωt) 1.109 1.200 1.222 1.223 (5) f1 / fL1STw -3.749 -4.572 -4.140 -4.583 (6) f1 / fL1 -0.095 -0.269 -0.579 -0.293 (7) fw / fL1STw -0.893 -0.964 -1.024 -0.985 (8) TLw / (ft×tanωt) 5.748 6.181 6.183 6.274 (9) β2t / β2w 1.547 1.628 1.477 1.604 (10) |DDG12w - DDG12t| / TLt 0.159 0.199 0.136 0.196 (11) DDL1STw / f1 0.471 0.396 0.521 0.398 (12) DDLlSTw / {(fw×tanωw)×log(ft / fw)} 4.804 4.516 5.415 4.566 (13) TLw / fw 5.184 5.153 5.059 5.131 (14) TLt / ft 2.344 2.489 2.403 2.421 (15) TLt / (ft×tanωt) 7.128 8.193 8.060 8.122 (16) f1 / fw 4.198 4.743 4.043 4.654 (17) f1 / (f2) 5.438 6.149 6.038 6.183 (18) f1 / (ft / Fnot) 4.423 4.978 4.861 4.954 (19) <![CDATA[f1 / (fw×ft) 1 / 2 ]]> 2.535 2.863 2.440 2.810 (20) Denw / {(fw×tanωw)×log(ft / fw)} 3.182 2.768 3.335 2.840 (21) <![CDATA[Denw / (fw×ft) 1 / 2 ]]> 0.791 0.695 0.784 0.696 (22) d1 / (Denw×tanωw) 0.054 0.062 0.060 0.063 (23) fw / Dexw -0.289 -0.281 -0.411 -0.363 (24) EDf / EDr 1.730 1.755 1.761 1.751 (25) EDf / TLw 0.508 0.518 0.484 0.519 (26) ft / fw 2.743 2.744 2.744 2.743 (27) NdL1 1.806 1.899 1.891 1.890 (28) v dL1 33.34 20.03 20.44 20.51 (29) NdL1 + 0.01×v dL1 2.140 2.100 2.096 2.095 (30) NdL2 1.487 1.550 1.699 1.558 (31) v dL2 70.32 73.59 42.76 72.39 (32) NdL2 + 0.01×v dL2 2.191 2.286 2.127 2.282 (33) ffoc / fMt 1.034 2.193 1.989 1.381 (34) <![CDATA[|(1-βft 2 )×βfRt 2 |]]> 4.069 1.725 2.428 0.700 (35) (1 / Rcnf - 1 / Rcnr) / (1 / Rynf - 1 / Rynr) 0.455 - - - (36) (1 / Repf - 1 / Rcpr) / (1 / Rypf - 1 / Rypr) - - - - (37) (1 / Rcsnf - 1 / Rcsnr) / (1 / Rysnf - 1 / Rysnr) - - - - (38) (1 / Rcipf-1 / Rcipr) / (1 / Ryipf-1 / Ryipr) - - - - (39) (1 / Rcinf-1 / Rcinr) / (1 / Ryinf-1 / Ryinr) - 0.836 1.071 0.815 (40) (1 / RcEpf-1 / ReEpr) / (1 / RyEpf-1 / RyEpr) - - - -

[0727] The variable power optical systems of Examples 1 to 20 are compact, but the F value is 3.3 or less in the entire variable power range, achieving a small F value. In particular, in some examples, the F value is 3 or less in the entire variable power range. In addition, the variable power optical systems of Examples 1 to 20 correct various aberrations well in the entire variable power range, thereby maintaining high optical performance.

[0728] Next, an imaging device according to an embodiment of the present invention will be described. Fig.43 and Fig.44 , an external view of a camera 30 which is an imaging device according to an embodiment of the present invention is shown.

[0729] Fig.43 1 is a perspective view showing the camera 30 as viewed from the front side. Fig.44 The camera 30 is a perspective view viewed 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 power optical system 1 according to one embodiment of the present invention housed in a lens barrel.

[0730] The camera 30 includes a camera body 31, and a shutter button 32 and a power button 33 are provided on the upper surface of the camera body 31. In addition, an operation unit 34, an operation unit 35 and a display unit 36 ​​are provided on the back surface of the camera body 31. The display unit 36 ​​can display the captured image and the image existing in the angle of view before the capture.

[0731] A photographing opening through which light from a photographic subject enters is provided at the center of the front surface of the camera body 31 , and a bayonet mount 37 is provided at a position corresponding to the photographing opening. The interchangeable lens 20 is mounted on the camera body 31 via the bayonet mount 37 .

[0732] An imaging element such as a CCD (Charge Coupled Device) or a CMOS (Complementary Metal Oxide Semiconductor) that outputs an imaging signal corresponding to an image of a subject 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 are provided in the camera body 31. In the camera 30, a still image or a moving image can be captured by pressing a shutter button 32, and image data obtained by the capturing is recorded in the above-mentioned recording medium.

[0733] The above embodiments and examples are used to illustrate the technology of the present invention, but the technology of the present invention is not limited to the above embodiments and examples, and various modifications are possible. For example, the radius of curvature, surface spacing, refractive index, Abbe number and aspheric coefficient of each lens are not limited to the values ​​shown in the above embodiments, and other values ​​can be used.

[0734] 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 cameras other than mirrorless cameras, film cameras, video cameras, and security cameras.

[0735] The following additional notes are further disclosed with respect to the above-mentioned embodiments and examples.

[0736] [Supplementary Item 1]

[0737] 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,

[0738] The intermediate group includes more than 1 and less than 5 lens groups,

[0739] When changing the magnification, the distance between the first lens group and the second lens group changes, the distance between the second lens group and the intermediate group changes, and the distance between the intermediate group and the final lens group changes.

[0740] In the case where the intermediate group includes a plurality of lens groups, when the magnification is changed, all intervals between adjacent lens groups in the intermediate group are changed.

[0741] An aperture stop is arranged between the lens surface closest to the image side of the second lens group and the lens surface closest to the object side of the final lens group,

[0742] 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.

[0743] When the distance on the optical axis from the object-side surface of the first lens to the aperture stop in a state where the lens is focused on an infinitely distant object at a wide angle end is DDL1STw,

[0744] The sum of the distance on the optical axis from the object-side surface of the first lens to the lens surface closest to the image side of the final lens group in a state where the object at the infinite distance at the wide-angle end is focused and the back focal length of the entire system in terms of air conversion distance is defined as TLw.

[0745] Set the open F value when focusing on an object at infinity at the telephoto end to Fnot.

[0746] Let the focal length of the entire system when focusing on an infinitely distant object at the telephoto end be ft,

[0747] Let fw be the focal length of the entire system when focusing on an infinitely far object at the wide angle end.

[0748] Let Bfw be the back focal length of the entire system at the wide angle end measured in terms of air conversion distance.

[0749] When the maximum half angle of view in the state of focusing on an infinitely distant object at the telephoto end is ωt,

[0750] The variable magnification optical system satisfies the following conditional expressions (1), (2) and (3):

[0751] 0<DDL1STw / TLw<0.5 (1)

[0752] 0.5<Fnot / (ft / fw)<1.3 (2)

[0753] 0.15<Bfw / (ft×tanωt)<2 (3).

[0754] [Supplementary Item 2]

[0755] According to the variable power optical system described in Supplementary Item 1, it satisfies the following conditional expression (4):

[0756] 1<fw / (ft×tanωt)<1.4 (4).

[0757] [Supplementary item 3]

[0758] The variable magnification optical system according to Supplementary Item 1 or 2, wherein:

[0759] When the focal length of the first lens group is set to f1,

[0760] When the composite focal length of the optical system from the first lens to the aperture stop in a state of focusing on an infinitely distant object at the wide-angle end is fL1STw, the variable power optical system satisfies the following conditional expression (5),

[0761] -6.6<f1 / fL1STw<-1.5 (5).

[0762] [Supplementary Item 4]

[0763] The variable magnification optical system according to supplementary item 1, wherein:

[0764] When the focal length of the first lens group is set to f1,

[0765] When the focal length of the first lens is fL1,

[0766] The variable magnification optical system satisfies the following conditional formula (6):

[0767] -0.9<f1 / fL1<-0.05 (6).

[0768] [Supplementary Item 5]

[0769] A variable magnification optical system according to any one of supplementary items 1 to 4, wherein:

[0770] When the combined focal length of the optical system from the first lens to the aperture stop in a state where the object at infinity at the wide angle end is focused is fL1STw,

[0771] The variable magnification optical system satisfies the following conditional formula (7):

[0772] -1.4<fw / fL1STw<-0.3 (7).

[0773] [Supplementary Item 6]

[0774] The variable magnification optical system according to supplementary item 1, wherein:

[0775] When the composite focal length of the optical system from the first lens to the aperture stop in a state where the object at infinity at the wide angle end is focused is fL1STw,

[0776] The focal length of the first lens group is set to f1,

[0777] When the focal length of the first lens is fL1,

[0778] The variable magnification optical system satisfies the following conditional expressions (4), (5), (6) and (7),

[0779] 1<fw / (ft×tanωt)<1.4 (4)

[0780] -6.6<f1 / fL1STw<-1.5 (5)

[0781] -0.9<f1 / fL1<-0.05 (6)

[0782] -1.4<fw / fL1STw<-0.3 (7).

[0783] [Supplementary Note 7]

[0784] A variable magnification optical system according to any one of Supplementary Items 1 to 6, which satisfies the following conditional expression (8):

[0785] 2<TLw / (ft×tanωt)<9 (8).

[0786] [Supplementary Item 8]

[0787] A variable magnification optical system according to any one of supplementary items 1 to 7, wherein:

[0788] When the lateral magnification of the second lens unit in a state of focusing on an infinitely distant object at a telephoto end is β2t,

[0789] 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,

[0790] The variable magnification optical system satisfies the following conditional formula (9):

[0791] 1.1<β2t / β2w<3 (9).

[0792] [Supplementary Item 9]

[0793] A variable magnification optical system according to any one of supplementary items 1 to 8, wherein:

[0794] When the distance between the first lens group and the second lens group on the optical axis in a state where the lens is focused on an infinitely distant object at a wide angle end is set to DDG12w,

[0795] The distance between the first lens group and the second lens group on the optical axis in a state of focusing on an infinitely distant object at a telephoto end is DDG12t,

[0796] When the sum of the distance on the optical axis from the object side surface of the first lens 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 terms of air conversion distance is denoted as TLt,

[0797] The variable magnification optical system satisfies the following conditional formula (10):

[0798] 0.1<|DDG12w-DDG12t| / TLt<0.3 (10).

[0799] [Supplementary Item 10]

[0800] A variable magnification optical system according to any one of supplementary items 1 to 9, wherein:

[0801] When the focal length of the first lens unit is f1,

[0802] The variable magnification optical system satisfies the following conditional formula (11):

[0803] 0.2<DDL1STw / f1<0.8 (11).

[0804] [Supplementary Item 11]

[0805] A variable magnification optical system according to any one of supplementary items 1 to 10, wherein:

[0806] When the maximum half angle of view in a state where the object at infinity is focused at the wide angle end is ωw,

[0807] The variable magnification optical system satisfies the following conditional formula (12):

[0808] 3<DDL1STw / {(fw×tanωw)×log(ft / fw)}<9 (12).

[0809] [Supplementary Item 12]

[0810] A variable magnification optical system according to any one of supplementary items 1 to 11, which satisfies the following conditional formula (13):

[0811] 3<TLw / fw<8(13).

[0812] [Supplementary Item 13]

[0813] A variable magnification optical system according to any one of supplementary items 1 to 12, wherein:

[0814] When the sum of the distance on the optical axis from the object side surface of the first lens 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 terms of air conversion distance is denoted as TLt,

[0815] The variable magnification optical system satisfies the following conditional formula (14):

[0816] 1.5<TLt / ft<3 (14).

[0817] [Supplementary Item 14]

[0818] A variable magnification optical system according to any one of supplementary items 1 to 13, wherein:

[0819] When the sum of the distance on the optical axis from the object side surface of the first lens 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 terms of air conversion distance is denoted as TLt,

[0820] The variable magnification optical system satisfies the following conditional formula (15):

[0821] 5<TLt / (ft×tanωt)<11 (15).

[0822] [Supplementary Item 15]

[0823] A variable magnification optical system according to any one of supplementary items 1 to 14, wherein:

[0824] When the focal length of the first lens unit is f1,

[0825] The variable magnification optical system satisfies the following conditional formula (16):

[0826] 3<f1 / fw<7(16).

[0827] [Supplementary Item 16]

[0828] A variable magnification optical system according to any one of supplementary items 1 to 15, wherein:

[0829] When the focal length of the first lens group is set to f1,

[0830] When the focal length of the second lens unit is set to f2,

[0831] The variable magnification optical system satisfies the following conditional formula (17):

[0832] 3<f1 / (-f2)<9(17).

[0833] [Supplementary Item 17]

[0834] A variable magnification optical system according to any one of supplementary items 1 to 16, wherein:

[0835] When the focal length of the first lens unit is f1,

[0836] The variable magnification optical system satisfies the following conditional formula (18):

[0837] 2<f1 / (ft / Fnot)<7 (18).

[0838] [Supplementary Item 18]

[0839] A variable magnification optical system according to any one of supplementary items 1 to 17, wherein:

[0840] When the focal length of the first lens unit is f1,

[0841] The variable magnification optical system satisfies the following conditional formula (19):

[0842] 1.8<f1 / (fw×ft) 1 / 2 <4.2 (19).

[0843] [Supplementary Item 19]

[0844] A variable magnification optical system according to any one of supplementary items 1 to 18, wherein:

[0845] When the distance on the optical axis from the object-side surface of the first lens to the paraxial entrance pupil position in a state where the image is focused on an infinitely distant object at the wide-angle end is Denw,

[0846] When the maximum half angle of view in the state of focusing on an infinitely distant object at the wide angle end is ωw,

[0847] The variable magnification optical system satisfies the following conditional formula (20):

[0848] 2<Denw / {(fw×tanωw)×log(ft / fw)}<4.5 (20).

[0849] [Supplementary item 20]

[0850] A variable magnification optical system according to any one of supplementary items 1 to 19, wherein:

[0851] When the distance on the optical axis from the object-side surface of the first lens to the paraxial entrance pupil position in a state where the object at infinity at the wide-angle end is focused is Denw,

[0852] The variable magnification optical system satisfies the following conditional formula (21):

[0853] 0.5<Denw / (fw×ft) 1 / 2 <1 (21).

[0854] [Supplementary item 21]

[0855] A variable magnification optical system according to any one of supplementary items 1 to 20, wherein:

[0856] When the center thickness of the first lens is set to d1,

[0857] Let Denw be the distance on the optical axis from the object-side surface of the first lens to the paraxial entrance pupil position in a state where an infinitely distant object at a wide-angle end is focused.

[0858] When the maximum half angle of view in the state of focusing on an infinitely distant object at the wide angle end is ωw,

[0859] The variable magnification optical system satisfies the following conditional formula (22):

[0860] 0.04<d1 / (Denw×tanωw)<0.09 (22).

[0861] [Supplementary item 22]

[0862] A variable magnification optical system according to any one of supplementary items 1 to 21, wherein:

[0863] When the distance on the optical axis from the image plane to the paraxial exit pupil position in a state where the image is focused on an infinitely distant object at the wide angle end is defined as Dexw,

[0864] In the notation of Dexw, the distance on the image side based on the image plane is set as positive, and the distance on the object side is set as negative.

[0865] When an optical component without refractive power is arranged between the image plane and the paraxial exit pupil position, when Dexw is calculated using the air conversion distance for the optical component,

[0866] The variable magnification optical system satisfies the following conditional formula (23):

[0867] -0.65<fw / Dexw<-0.2 (23).

[0868] [Supplementary item 23]

[0869] A variable magnification optical system according to any one of supplementary items 1 to 22, wherein:

[0870] When the effective diameter of the object side surface of the first lens is EDf,

[0871] When the effective diameter of the lens surface closest to the image side of the final lens group is EDr,

[0872] The variable magnification optical system satisfies the following conditional formula (24):

[0873] 1.5<EDf / EDr<3 (24).

[0874] [Supplementary item 24]

[0875] A variable magnification optical system according to any one of supplementary items 1 to 23, wherein:

[0876] When the effective diameter of the object-side surface of the first lens is EDf,

[0877] The variable magnification optical system satisfies the following conditional formula (25):

[0878] 0.35<EDf / TLw<0.65 (25).

[0879] [Supplementary item 25]

[0880] A variable power optical system according to any one of supplementary items 1 to 24, which satisfies the following conditional formula (26):

[0881] 2.2<ft / fw<4.8 (26).

[0882] [Supplementary item 26]

[0883] A variable magnification optical system according to any one of supplementary items 1 to 25, wherein:

[0884] When the refractive index of the first lens with respect to the d-line is NdL1,

[0885] When the d-line-based Abbe number of the first lens is v dL1,

[0886] The variable magnification optical system satisfies the following conditional equations (27), (28) and (29):

[0887] 1.8<NdL1<2.01 (27)

[0888] 15<v dL1<45 (28)

[0889] 2<NdL1+0.01×v dL1<2.5 (29).

[0890] [Supplementary item 27]

[0891] A variable magnification optical system according to any one of supplementary items 1 to 26, wherein:

[0892] When the refractive index of the second lens with respect to the d-line is NdL2,

[0893] When the d-line-based Abbe number of the second lens is v dL2,

[0894] The variable magnification optical system satisfies the following conditional equations (30), (31) and (32):

[0895] 1.43<NdL2<1.81 (30)

[0896] 45<v dL2<96 (31)

[0897] 2<NdL2+0.01×v dL2<2.5 (32).

[0898] [Supplementary item 28]

[0899] A variable magnification optical system according to any one of supplementary items 1 to 27, comprising at least one focus group that moves during magnification change and during focusing,

[0900] The focal length of the focus group having the smallest absolute value of focal length among the focus groups included in the variable magnification optical system is set to ffoc,

[0901] When the focal length of the middle group in a state of focusing on an infinitely distant object at the telephoto end is set to fMt,

[0902] The variable magnification optical system satisfies the following conditional formula (33):

[0903] 0.3<|ffoc / fMt|<4 (33).

[0904] [Supplementary item 29]

[0905] A variable magnification optical system according to any one of supplementary items 1 to 28, comprising at least one focus group that moves during magnification change and during focusing,

[0906] The lateral magnification in a state where the focusing group having the largest absolute value of focal length among the focusing groups included in the variable power optical system focuses on an infinitely distant object at a telephoto end is βft,

[0907] When the composite lateral magnification when all lenses on the image side of the focusing group having the largest absolute value of the focal length are focused on an infinitely distant object at the telephoto end is βfRt, the variable power optical system satisfies the following conditional expression (34),

[0908] 1<|(1-βft 2 )×βfRt 2 |<8 (34).

[0909] [Supplementary item 30]

[0910] A variable magnification optical system according to any one of supplementary items 1 to 29, wherein:

[0911] One of the lens groups included in the intermediate group is a focus group that moves during zooming and focusing.

[0912] [Supplementary item 31]

[0913] The variable magnification optical system according to supplementary item 30, wherein:

[0914] The focusing group includes one positive lens and two negative lenses.

[0915] [Supplementary item 32]

[0916] A variable magnification optical system according to supplementary item 31, wherein:

[0917] The negative lens closest to the image side of the focusing group is an aspherical lens.

[0918] When the paraxial curvature radius of the object-side surface of the aspheric lens is set to Rcnf,

[0919] The paraxial curvature radius of the image-side surface of the aspheric lens is set to Rcnr,

[0920] The curvature radius at the position of the maximum effective diameter of the object-side surface of the aspherical lens is denoted as Rynf.

[0921] When the curvature radius at the position of the maximum effective diameter of the image-side surface of the aspherical lens is denoted as Rynr,

[0922] The variable magnification optical system satisfies the following conditional formula (35):

[0923] 0.1<(1 / Rcnf-1 / Rcnr) / (1 / Rynf-1 / Rynr)<3 (35).

[0924] [Supplementary item 33]

[0925] The variable magnification optical system according to supplementary item 30, wherein:

[0926] The focusing group includes one negative lens and two positive lenses.

[0927] [Supplementary item 34]

[0928] A variable magnification optical system according to supplementary item 33, wherein:

[0929] The positive lens closest to the image side of the focusing group is an aspherical lens.

[0930] When the paraxial curvature radius of the object-side surface of the aspheric lens is set to Rcpf,

[0931] The paraxial curvature radius of the image-side surface of the aspheric lens is set to Rcpr,

[0932] The curvature radius at the position of the maximum effective diameter of the object-side surface of the aspherical lens is defined as Rypf.

[0933] When the curvature radius at the position of the maximum effective diameter of the image-side surface of the aspherical lens is denoted as Rypr,

[0934] The variable magnification optical system satisfies the following conditional formula (36):

[0935] -120<(1 / Rcpf-1 / Rcpr) / (1 / Rypf-1 / Rypr)<-3 (36).

[0936] [Supplementary item 35]

[0937] The variable magnification optical system according to supplementary item 30, wherein:

[0938] The focusing group includes a positive lens and a negative lens.

[0939] [Supplementary item 36]

[0940] The variable magnification optical system according to supplementary item 30, wherein:

[0941] The focusing group includes a negative lens.

[0942] [Supplementary item 37]

[0943] A variable magnification optical system according to supplementary item 36, wherein:

[0944] The negative lens of the focusing group is an aspherical lens,

[0945] When the paraxial curvature radius of the object-side surface of the aspheric lens is set to Rcsnf,

[0946] The paraxial curvature radius of the image-side surface of the aspheric lens is set to Rcsnr,

[0947] The curvature radius at the position of the maximum effective diameter of the object-side surface of the aspherical lens is denoted by Rysnf.

[0948] When the curvature radius at the position of the maximum effective diameter of the image-side surface of the aspherical lens is denoted as Rysnr,

[0949] The variable magnification optical system satisfies the following conditional formula (37):

[0950] 0.1<(1 / Rcsnf-1 / Rcsnr) / (1 / Rysnf-1 / Rysnr)<3.5 (37).

[0951] [Supplementary item 38]

[0952] A variable magnification optical system according to any one of supplementary items 1 to 29, wherein:

[0953] Two lens groups in the middle group are focus groups that move with the distance between them changing during zooming and focusing.

[0954] [Supplementary item 39]

[0955] A variable magnification optical system according to supplementary item 38, wherein:

[0956] When the lens group disposed on the object side of the two lens groups is set as the object side focus group and the lens group disposed on the image side is set as the image side focus group,

[0957] The object side focusing group includes a negative lens and a positive lens.

[0958] The image side focusing group includes a positive lens.

[0959] [Supplementary item 40]

[0960] A variable magnification optical system according to supplementary item 39, wherein:

[0961] The positive lens of the image side focusing group is an aspherical lens,

[0962] When the paraxial curvature radius of the object-side surface of the aspheric lens is set to Rc ipf,

[0963] The paraxial curvature radius of the image-side surface of the aspheric lens is set to Rcipr,

[0964] The curvature radius at the position of the maximum effective diameter of the object-side surface of the aspherical lens is defined as Ryipf.

[0965] When the curvature radius at the position of the maximum effective diameter of the image-side surface of the aspherical lens is denoted as Ryipr,

[0966] The variable magnification optical system satisfies the following conditional formula (38):

[0967] 1<(1 / Rcipf-1 / Rcipr) / (1 / Ryipf-1 / Ryipr)<100 (38).

[0968] [Supplementary Item 41]

[0969] A variable magnification optical system according to supplementary item 38, wherein:

[0970] When the lens group disposed on the object side of the two lens groups is set as the object side focus group and the lens group disposed on the image side is set as the image side focus group,

[0971] The object side focusing group includes a positive lens and a negative lens.

[0972] The image side focusing group includes a negative lens.

[0973] [Supplementary item 42]

[0974] A variable magnification optical system according to supplementary item 41, wherein:

[0975] The negative lens of the image side focusing group is an aspherical lens,

[0976] When the paraxial curvature radius of the object-side surface of the aspheric lens is set to Rc inf,

[0977] The paraxial curvature radius of the image-side surface of the aspheric lens is denoted by Rc inr.

[0978] The curvature radius at the position of the maximum effective diameter of the object-side surface of the aspherical lens is set to Ryinf,

[0979] When the curvature radius at the position of the maximum effective diameter of the image-side surface of the aspherical lens is denoted as Ryinr,

[0980] The zoom optical system satisfies the following conditional formula (39):

[0981] 0.1<(1 / Rcinf-1 / Rcinr) / (1 / Ryinf-1 / Ryinr)<3.5(39).

[0982] [Supplementary item 43]

[0983] The variable power optical system according to any one of Supplementary Items 1 to 42, comprising a plurality of lens groups that move along the same movement trajectory when variable power is performed from a wide angle end to a telephoto end.

[0984] [Supplementary item 44]

[0985] A variable magnification optical system according to any one of supplementary items 1 to 43, wherein:

[0986] The middle group includes the aperture stop on the most object side.

[0987] [Supplementary item 45]

[0988] A variable magnification optical system according to any one of supplementary items 1 to 44, wherein:

[0989] 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.

[0990] The final lens group has positive refractive power.

[0991] [Supplementary item 46]

[0992] A variable magnification optical system according to supplementary item 45, wherein:

[0993] The final lens group is fixed relative to the image plane during zooming.

[0994] [Supplementary Item 47]

[0995] A variable magnification optical system according to supplementary item 46, wherein:

[0996] The final lens group includes a positive lens which is an aspherical lens.

[0997] When the paraxial curvature radius of the object-side surface of the aspheric lens is set to RcEpf,

[0998] The paraxial curvature radius of the image-side surface of the aspheric lens is set to RcEpr,

[0999] The curvature radius at the position of the maximum effective diameter of the object-side surface of the aspherical lens is denoted by RyEpf.

[1000] When the curvature radius at the position of the maximum effective diameter of the image-side surface of the aspherical lens is denoted as RyEpr,

[1001] The variable magnification optical system satisfies the following conditional formula (40):

[1002] 0.1<(1 / RcEpf-1 / RcEpr) / (1 / RyEpf-1 / RyEpr)<5(40).

[1003] [Supplementary item 48]

[1004] A variable magnification optical system according to supplementary item 45, wherein:

[1005] The final lens group moves during zooming.

[1006] [Supplementary item 49]

[1007] A variable magnification optical system according to any one of supplementary items 1 to 44, wherein:

[1008] 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, and a lens group with negative refractive power.

[1009] The final lens group has positive refractive power.

[1010] [Supplementary item 50]

[1011] A variable magnification optical system according to any one of supplementary items 1 to 44, wherein:

[1012] 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, and a lens group with positive refractive power.

[1013] The final lens group has negative refractive power.

[1014] [Supplementary item 51]

[1015] A variable magnification optical system according to any one of supplementary items 1 to 44, wherein:

[1016] 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, and a lens group with negative refractive power.

[1017] The final lens group has positive refractive power.

[1018] [Supplementary item 52]

[1019] A variable magnification optical system according to any one of supplementary items 1 to 44, wherein:

[1020] 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 positive refractive power, in sequence.

[1021] The final lens group has negative refractive power.

[1022] [Supplementary item 53]

[1023] A variable magnification optical system according to any one of supplementary items 1 to 44, wherein:

[1024] 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, in sequence.

[1025] The final lens group has negative refractive power.

[1026] [Supplementary item 54]

[1027] A variable magnification optical system according to any one of supplementary items 1 to 44, wherein:

[1028] 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 negative refractive power, in sequence.

[1029] The final lens group has positive refractive power.

[1030] [Supplementary item 55]

[1031] A variable magnification optical system according to any one of supplementary items 1 to 44, wherein:

[1032] 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, a lens group with negative refractive power, and a lens group with positive refractive power,

[1033] The final lens group has negative refractive power.

[1034] [Supplementary item 56]

[1035] A variable magnification optical system according to any one of supplementary items 49 to 55, wherein:

[1036] The final lens group moves during zooming.

[1037] [Supplementary item 57]

[1038] An imaging device comprising the variable magnification optical system according to any one of Supplementary Items 1 to 56.

[1039] 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 was specifically and individually described as being 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 1 and less than 5 lens groups, When changing the magnification, the distance between the first lens group and the second lens group changes, the distance between the second lens group and the intermediate group changes, and the distance between the intermediate group and the final lens group changes. In the case where the intermediate group includes a plurality of lens groups, when the magnification is changed, all intervals between adjacent lens groups in the intermediate group are changed. An aperture stop is arranged between the lens surface closest to the image side of the second lens group and the lens surface closest to the object side of the final lens group, 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. When the distance on the optical axis from the object-side surface of the first lens to the aperture stop in a state where the lens is focused on an infinitely distant object at a wide angle end is DDL1STw, The sum of the distance on the optical axis from the object-side surface of the first lens to the lens surface closest to the image side of the final lens group in a state where the object at the infinite distance at the wide-angle end is focused and the back focal length of the entire system in terms of 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. Let the focal length of the entire system when focusing on an infinitely distant object at the telephoto end be ft, Let fw be the focal length of the entire system when focusing on an infinitely far object at the wide angle end. Let Bfw be the back focal length of the entire system at the wide angle end measured in terms of air conversion distance. When the maximum half angle of view in the state of focusing on an infinitely distant object at the telephoto end is ωt, The variable magnification optical system satisfies the following conditional expressions (1), (2) and (3): 0 <DDL1STw / TLw<0.5 (1) 0.5 <Fnot / (ft / fw)<1.3 (2) 0.15 <Bfw / (ft×tanωt)<2 (3)。 2. The variable magnification optical system according to claim 1, which satisfies the following conditional formula (4): 1 <fw / (ft×tanωt)<1.4 (4)。 3. 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 composite focal length of the optical system from the first lens to the aperture stop in a state of focusing on an infinitely distant object at the wide-angle end is fL1STw, the variable power optical system satisfies the following conditional expression (5), -6.6 <f1 / fL1STw<-1.5 (5)。 4. 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 first lens is set to fL1, the variable power optical system satisfies the following conditional expression (6): -0.9 <f1 / fL1<-0.05 (6)。 5. The variable magnification optical system according to claim 1, wherein: When the combined focal length of the optical system from the first lens to the aperture stop in a state where the object at infinity at the wide angle end is focused is fL1STw, The variable magnification optical system satisfies the following conditional formula (7): -1.4 <fw / fL1STw<-0.3 (7)。 6. The variable magnification optical system according to claim 1, wherein: When the composite focal length of the optical system from the first lens to the aperture stop in a state where the object at infinity at the wide angle end is focused is fL1STw, The focal length of the first lens group is set to f1, When the focal length of the first lens is fL1, the variable power optical system satisfies the following conditional expressions (4), (5), (6) and (7): 1 <fw / (ft×tanωt)<1.4 (4) -6.6<f1 / fL1STw<-1.5 (5) -0.9 <f1 / fL1<-0.05 (6) -1.4 <fw / fL1STw<-0.3 (7)。 7. The variable magnification optical system according to claim 1, wherein: The variable magnification optical system satisfies the following conditional formula (8): 2 <TLw / (ft×tanωt)<9 (8)。 8. The variable magnification optical system according to claim 1, wherein: When the lateral magnification of the second lens unit in a state of focusing on an infinitely distant object at a telephoto end is β2t, When the lateral magnification of the second lens group in a state of focusing on an infinitely distant object at the wide-angle end is set to β 2w, the variable power optical system satisfies the following conditional expression (9): 1.1<β 2t / β 2w<3 (9).

9. The variable magnification optical system according to claim 1, wherein: When the distance between the first lens group and the second lens group on the optical axis in a state where the lens is focused on an infinitely distant object at a wide angle end is set to DDG12w, The distance between the first lens group and the second lens group on the optical axis in a state of focusing on an infinitely distant object at a telephoto end is DDG12t, When the sum of the distance on the optical axis from the object-side surface of the first lens 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 focal length of the entire system in terms of air conversion distance is set as TLt, the variable magnification optical system satisfies the following conditional expression (10), 0.1<|DDG12w-DDG12t| / TLt<0.3 (10).

10. The variable power optical system according to claim 1, wherein: When the focal length of the first lens unit is f1, The variable magnification optical system satisfies the following conditional formula (11): 0.2 <DDL1STw / f1<0.8 (11)。 11. The variable magnification optical system according to claim 1, wherein: When the maximum half angle of view in a state where the focus is on an infinitely distant object at the wide angle end is set to ωw, the variable power optical system satisfies the following conditional expression (12): 3 <DDL1STw / {(fw×tanωw)×log(ft / fw)}<9 (12)。 12. The variable magnification optical system according to claim 1, which satisfies the following conditional expression (13): 3 <TLw / fw<8 (13)。 13. The variable power optical system according to claim 1, wherein: When the sum of the distance on the optical axis from the object-side surface of the first lens 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 focal length of the entire system in terms of air conversion distance is set as TLt, the variable magnification optical system satisfies the following conditional expression (14), 1.5 <TLt / ft<3 (14)。 14. The variable power optical system according to claim 1, wherein: When the sum of the distance on the optical axis from the object-side surface of the first lens 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 focal length of the entire system in terms of air conversion distance is set as TLt, the variable magnification optical system satisfies the following conditional expression (15), 5 <TLt / (ft×tanωt)<11 (15)。 15. The variable power optical system according to claim 1, wherein: When the focal length of the first lens unit is f1, The variable magnification optical system satisfies the following conditional formula (16): 3 <f1 / fw<7 (16)。 16. 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 second lens unit is set to f2, The variable magnification optical system satisfies the following conditional formula (17): 3 <f1 / (-f2)<9 (17)。 17. The variable power optical system according to claim 1, wherein: When the focal length of the first lens unit is f1, The variable magnification optical system satisfies the following conditional formula (18): 2 <f1 / (ft / Fnot)<7 (18)。 18. The variable power optical system according to claim 1, wherein: When the focal length of the first lens unit is f1, The variable magnification optical system satisfies the following conditional formula (19): 1.8<f1 / (fw×ft) 1 / 2 <4.2 (19)。 19. The variable power optical system according to claim 1, wherein: When the distance on the optical axis from the object-side surface of the first lens to the paraxial entrance pupil position in a state where the image 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 distant object at the wide angle end is ωw, The variable magnification optical system satisfies the following conditional formula (20): 2 <Denw / {(fw×tanωw)×log(ft / fw)}<4.5 (20)。 20. The variable power optical system according to claim 1, wherein: When the distance on the optical axis from the object-side surface of the first lens to the paraxial entrance pupil position in a state where the object at infinity at the wide-angle end is focused is Denw, The variable magnification optical system satisfies the following conditional formula (21): 0.5<Denw / (fw×ft) 1 / 2 <1 (21)。 21. The variable power optical system according to claim 1, wherein: When the center thickness of the first lens is set to d1, Let Denw be the distance on the optical axis from the object-side surface of the first lens to the paraxial entrance pupil position in a state where an infinitely distant object at a wide-angle end is focused. When the maximum half angle of view in the state of focusing on an infinitely distant object at the wide angle end is ωw, The variable magnification optical system satisfies the following conditional formula (22): 0.04 <d1 / (Denw×tanωw)<0.09 (22)。 22. The variable power optical system according to claim 1, wherein: When the distance on the optical axis from the image plane to the paraxial exit pupil position in a state where the image is focused on an infinitely distant object at the wide angle end is defined as Dexw, In the notation of Dexw, the distance on the image side based on the image plane is set as positive, and the distance on the object side is set as negative. When an optical component having no refractive power is arranged between the image plane and the paraxial exit pupil position, when Dexw is calculated using the air conversion distance for the optical component, The variable magnification optical system satisfies the following conditional formula (23): -0.65 <fw / Dexw<-0.2 (23)。 23. The variable power optical system according to claim 1, wherein: When the effective diameter of the object side surface of the first lens is EDf, When the effective diameter of the lens surface closest to the image side of the final lens group is EDr, The variable magnification optical system satisfies the following conditional formula (24): 1.5 <EDf / EDr<3 (24)。 24. The variable power optical system according to claim 1, wherein: When the effective diameter of the object-side surface of the first lens is EDf, The variable magnification optical system satisfies the following conditional formula (25): 0.35 <EDf / TLw<0.65 (25)。 25. The variable power optical system according to claim 1, which satisfies the following conditional expression (26): 2.2 <ft / fw<4.8 (26)。 26. The variable power optical system according to claim 1, wherein: When the refractive index of the first lens with respect to the d-line is NdL1, When the d-line-based Abbe number of the first lens is v dL1, The variable magnification optical system satisfies the following conditional equations (27), (28) and (29): 1.8 <NdL1<2.01 (27) 15 <v dL1<45 (28) 2 <NdL1+0.01×v dL1<2.5 (29)。 27. The variable power optical system according to claim 1, wherein: When the refractive index of the second lens with respect to the d-line is NdL2, When the d-line-based Abbe number of the second lens is v dL2, The variable magnification optical system satisfies the following conditional equations (30), (31) and (32): 1.43 <NdL2<1.81 (30) 45 <v dL2<96 (31) 2 <NdL2+0.01×v dL2<2.5 (32)。 28. The variable power optical system according to claim 1, comprising at least one focus group that moves during variable power and during focusing. The focal length of the focus group having the smallest absolute value of focal length among the focus groups included in the variable magnification optical system is set to ffoc, When the focal length of the middle group in a state of focusing on an infinitely distant object at the telephoto end is set to fMt, The variable magnification optical system satisfies the following conditional formula (33): 0.3 <ffoc / fMt<4 (33)。 29. The variable power optical system according to claim 1, comprising at least one focus group that moves during variable power and during focusing. The lateral magnification in a state where the focusing group having the largest absolute value of focal length among the focusing groups included in the variable power optical system focuses on an infinitely distant object at a telephoto end is set to β ft, When the composite lateral magnification in a state where all lenses on the image side of the focus group having the largest absolute value of the focal length are focused on an infinitely distant object at the telephoto end is β fRt, The variable magnification optical system satisfies the following conditional formula (34): 1<|(1-β ft 2 )×β fRt 2 |<8 (34).

30. The variable power optical system according to claim 1, wherein: One of the lens groups included in the intermediate group is a focus group that moves during zooming and focusing.

31. The variable power optical system according to claim 30, wherein: The focusing group includes one positive lens and two negative lenses.

32. The variable power optical system according to claim 31, wherein: The negative lens closest to the image side of the focusing group is an aspherical lens. When the paraxial curvature radius of the object-side surface of the aspheric lens is set to Rcnf, The paraxial curvature radius of the image-side surface of the aspheric lens is set to Rcnr, The curvature radius at the position of the maximum effective diameter of the object-side surface of the aspherical lens is denoted as Rynf. When the curvature radius at the position of the maximum effective diameter of the image-side surface of the aspherical lens is denoted as Rynr, The variable magnification optical system satisfies the following conditional formula (35): 0.1<(1 / Rcnf-1 / Rcnr) / (1 / Rynf-1 / Rynr)<3 (35).

33. The variable power optical system according to claim 30, wherein: The focusing group includes one negative lens and two positive lenses.

34. The variable power optical system according to claim 33, wherein: The positive lens closest to the image side of the focusing group is an aspherical lens. When the paraxial curvature radius of the object-side surface of the aspheric lens is set to Rcpf, The paraxial curvature radius of the image-side surface of the aspheric lens is set to Rcpr, The curvature radius at the position of the maximum effective diameter of the object-side surface of the aspherical lens is defined as Rypf. When the curvature radius at the position of the maximum effective diameter of the image-side surface of the aspherical lens is denoted as Rypr, The variable magnification optical system satisfies the following conditional formula (36): -120<(1 / Rcpf-1 / Rcpr) / (1 / Rypf-1 / Rypr)<-3 (36).

35. The variable power optical system according to claim 30, wherein: The focusing group includes a positive lens and a negative lens.

36. The variable power optical system according to claim 30, wherein: The focusing group includes a negative lens.

37. The variable power optical system according to claim 36, wherein: The negative lens of the focusing group is an aspherical lens, When the paraxial curvature radius of the object-side surface of the aspheric lens is set to Rcsnf, The paraxial curvature radius of the image-side surface of the aspheric lens is set to Rcsnr, The curvature radius at the position of the maximum effective diameter of the object-side surface of the aspherical lens is denoted by Rysnf. When the curvature radius at the position of the maximum effective diameter of the image-side surface of the aspherical lens is denoted as Rysnr, The variable magnification optical system satisfies the following conditional formula (37): 0.1<(1 / Rcsnf-1 / Rcsnr) / (1 / Rysnf-1 / Rysnr)<3.5 (37).

38. The variable power optical system according to claim 1, wherein: Two lens groups in the middle group are focus groups that move with the distance between them changing during zooming and focusing.

39. The variable power optical system according to claim 38, wherein: When the lens group disposed on the object side of the two lens groups is set as the object side focus group and the lens group disposed on the image side is set as the image side focus group, The object side focusing group includes a negative lens and a positive lens. The image side focusing group includes a positive lens.

40. The variable power optical system according to claim 39, wherein: The positive lens of the image side focusing group is an aspherical lens, When the paraxial curvature radius of the object-side surface of the aspheric lens is set to Rcipf, The paraxial curvature radius of the image-side surface of the aspheric lens is denoted by Rcipr. The curvature radius at the position of the maximum effective diameter of the object-side surface of the aspherical lens is defined as Ryipf. When the curvature radius at the position of the maximum effective diameter of the image-side surface of the aspherical lens is denoted as Ryipr, The variable magnification optical system satisfies the following conditional formula (38): 1<(1 / Rcipf-1 / Rcipr) / (1 / Ryipf-1 / Ryipr)<100 (38).

41. The variable power optical system according to claim 38, wherein: When the lens group disposed on the object side of the two lens groups is set as the object side focus group and the lens group disposed on the image side is set as the image side focus group, The object side focusing group includes a positive lens and a negative lens. The image side focusing group includes a negative lens.

42. The variable power optical system according to claim 41, wherein: The negative lens of the image side focusing group is an aspherical lens, When the paraxial curvature radius of the object-side surface of the aspheric lens is set to Rcinf, The paraxial curvature radius of the image-side surface of the aspheric lens is set to Rcinr, The curvature radius at the position of the maximum effective diameter of the object-side surface of the aspherical lens is set to Ryinf, When the curvature radius at the position of the maximum effective diameter of the image-side surface of the aspherical lens is denoted as Ryinr, The zoom optical system satisfies the following conditional formula (39): 0.1<(1 / Rcinf-1 / Rcinr) / (1 / Ryinf-1 / Ryinr)<3.5 (39).

43. The variable power optical system according to claim 1, comprising a plurality of lens groups that move along the same movement trajectory when variable power is performed from a wide angle end to a telephoto end.

44. The variable power optical system according to claim 1, wherein: The middle group includes the aperture stop on the most object side.

45. 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. The final lens group has positive refractive power.

46. ​​The variable power optical system according to claim 45, wherein: The final lens group is fixed relative to the image plane during zooming.

47. The variable power optical system according to claim 46, wherein: The final lens group includes a positive lens which is an aspherical lens. When the paraxial curvature radius of the object-side surface of the aspheric lens is set to RcEpf, The paraxial curvature radius of the image-side surface of the aspheric lens is set to RcEpr, The curvature radius at the position of the maximum effective diameter of the object-side surface of the aspherical lens is denoted by RyEpf. When the curvature radius at the position of the maximum effective diameter of the image-side surface of the aspherical lens is denoted as RyEpr, The variable magnification optical system satisfies the following conditional formula (40): 0.1<|(1 / RcEpf-1 / RcEpr) / (1 / RyEpf-1 / RyEpr)|<5 (40).

48. The variable power optical system according to claim 45, wherein: The final lens group moves during zooming.

49. 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, and a lens group with negative refractive power. The final lens group has positive refractive power.

50. The variable power optical system according to claim 49, wherein: The final lens group moves during zooming.

51. 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, and a lens group with positive refractive power. The final lens group has negative refractive power.

52. The variable power optical system according to claim 51, wherein: The final lens group moves during zooming.

53. 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, and a lens group with negative refractive power. The final lens group has positive refractive power.

54. The variable power optical system according to claim 53, wherein: The final lens group moves during zooming.

55. 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 positive refractive power, in sequence. The final lens group has negative refractive power.

56. The variable power optical system according to claim 55, wherein: The final lens group moves during zooming.

57. 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, in sequence. The final lens group has negative refractive power.

58. The variable power optical system according to claim 57, wherein: The final lens group moves during zooming.

59. 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 negative refractive power, in sequence. The final lens group has positive refractive power.

60. The variable power optical system according to claim 59, wherein: The final lens group moves during zooming.

61. 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, a lens group with negative refractive power, and a lens group with positive refractive power, The final lens group has negative refractive power.

62. The variable power optical system according to claim 61, wherein: The final lens group moves during zooming.

63. An imaging device comprising the variable power optical system according to any one of claims 1 to 62.

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