Zoom lens

Abstract

The invention provides a zoom lens which sequentially comprises four lens groups from an object side to an image side along an optical axis, the four lens groups totally comprise first to ninth lenses, the zoom lens has wide-angle and telescopic states, the first lens has a positive refractive index, and the zoom lens satisfies the following conditional expressions: (ft + fw) / ImgH > = 5.00 and TTL / D11t21 < = 6.00, where fw is defined as the effective focal length of the zoom lens 1 in the wide-angle state, ImgH is defined as the effective focal length of the zoom lens 1 in the telescopic state, and TTL / D11t21 is defined as the effective focal length of the zoom lens 2 in the telescopic state. Ft is defined as the effective focal length of the zoom lens 1 in a telescopic state, ImgH is defined as the maximum image height of the zoom lens, TTL is defined as the distance from the object side surface of the first lens to the imaging surface on the optical axis, and D11t21 is defined as the distance from the object side surface of the first lens to the object side surface of the second lens on the optical axis.

Description

Technical Field

[0001] This invention relates to a zoom lens. Specifically, this invention is particularly directed to a zoom lens primarily used for capturing images and videos, such as a zoom lens applicable to portable electronic devices like mobile phones, cameras, tablet computers, and personal digital assistants (PDAs). Background Technology

[0002] The specifications of portable electronic products are constantly evolving, and their key component—the zoom lens—is also becoming more diversified. A zoom lens with zoom capabilities is called a zoom lens, and its applications extend beyond just shooting images and videos to include telephoto photography. Current portable electronic products primarily use a wide-angle lens combined with a telephoto lens to achieve 2x digital zoom. Since digital zoom is achieved by switching between lenses with different fixed focal lengths, the time it takes for the camera system to switch lenses causes discontinuities in image resolution, requiring additional processing power from the portable electronic product. Even with image processing, image resolution is still affected when switching between lenses with different focal lengths. Furthermore, due to the use of digital zoom, when the focal length of the telephoto lens exceeds twice that of the wide-angle lens, the significant difference between the two lenses increases the difficulty of image processing.

[0003] However, existing zoom lenses are much larger than the thickness of portable electronic products, making them unsuitable for mounting. Therefore, providing a telephoto lens that can be mounted in portable electronic products while offering a relatively high zoom ratio compared to an f / 35=26mm lens, and ensuring minimal image distortion during lens switching, is a problem the industry needs to solve. Furthermore, due to their longer focal lengths, zoom lenses are more susceptible to image quality degradation when the user moves the lens, which is another issue that needs to be addressed. Summary of the Invention

[0004] Therefore, various embodiments of the present invention propose a zoom lens that uses a light-deflecting element to provide a small depth that can be installed in a portable electronic product with limited thickness, and maintains good optical quality during zooming within a suitable telephoto and wide-angle field of view.

[0005] The zoom lens of the present invention includes, in sequence along an optical axis from an object side to an image side, a first lens, a second lens, a third lens, a fourth lens, a fifth lens, a sixth lens, a seventh lens, an eighth lens, and a ninth lens. Each of the first to the ninth lenses includes an object-side surface facing the object side and through which an imaging ray passes, and an image-side surface facing the image side and through which the imaging ray passes. The zoom lens contains only the above nine lenses, which form four lens groups. The relative positions of adjacent lens groups change in at least one axis, so that the zoom lens has a wide-angle state and a telephoto state.

[0006] In one embodiment of the present invention, the zoom lens includes only the above-mentioned nine lenses, which form four lens groups. The relative positions of adjacent lens groups change in at least one axis, so that the zoom lens has a wide-angle state and a telephoto state. The first lens has a positive refractive index, and the zoom lens satisfies the following conditions: (ft+fw) / ImgH≧5.00 and TTL / D11t21≦6.00, where fw is defined as the effective focal length of the zoom lens 1 in the wide-angle state, ft is defined as the effective focal length of the zoom lens 1 in the telephoto state, ImgH is defined as the maximum image height of the zoom lens, TTL is defined as the distance on the optical axis from the object side of the first lens to the image plane, and D11t21 is defined as the distance on the optical axis from the object side of the first lens to the object side of the second lens.

[0007] In another embodiment of the present invention, the zoom lens includes only the above-mentioned nine lenses, which form four lens groups. The relative positions of adjacent lens groups change in at least one axis, so that the zoom lens has a wide-angle state and a telephoto state. The first lens group has positive refractive index, the first lens has positive refractive index, and the zoom lens satisfies the following conditions: (ft+fw) / ImgH≧5.00, D11t21 / T2≧3.60, where fw is defined as the effective focal length of the zoom lens 1 in the wide-angle state, ft is defined as the effective focal length of the zoom lens 1 in the telephoto state, ImgH is defined as the maximum image height of the zoom lens, D11t21 is defined as the distance on the optical axis from the object side of the first lens to the object side of the second lens, and T2 is defined as the thickness of the second lens on the optical axis.

[0008] In another embodiment of the present invention, the first lens group has a positive refractive index, the first lens has a positive refractive index, and the zoom lens satisfies the following conditions: ((ft+fw) / ImgH≧5.00 and D11t21 / Tlast≧3.50, where fw is defined as the effective focal length of the zoom lens 1 in the wide-angle state, ft is defined as the effective focal length of the zoom lens 1 in the telephoto state, ImgH is defined as the maximum image height of the zoom lens, D11t21 is defined as the distance on the optical axis from the object side of the first lens to the object side of the second lens, and Tlast is defined as the thickness on the optical axis of the lens that is closest to an imaging plane among the nine lenses.

[0009] In the zoom lens of the present invention, each embodiment may further selectively satisfy the following conditions: D42t62 / T3≦5.70; D42t62 / G34≦7.50; D42t62 / G67≦3.40; D42t62 / T9≦4.50; D72t91 / T3≦9.50; D72t91 / G34≦14.80; D72t91 / G67≦13.00; D72t91 / T9≦10.80; (Fnot+Fnow) (D52t62+G78+G89) / G12≦1.80; (Fnot+Fnow) (D52t62+G78+G89) / (G34+G45)≦12.00; (Fnot+Fnow) (D52t62+G78+G89) / (T5+G67)≦6.80; (Fnot+Fnow) (D52t62+G78+G89) / (T7+T8)≦5.10; (Fnot+Fnow) (D52t62+G78+G89) / (T8+T9)≦9.20; fw / ALT≦2.30; ft / ALT≦2.90; (AAG+BFL) / ALT≦3.00; and HFOVt+HFOVw≦44.00 degrees.

[0010] Wherein, ALT is defined as the sum of the lens thicknesses of all lenses in a zoom lens along the optical axis; AAG is defined as the sum of the distances between all lenses in a zoom lens along the optical axis; BFL is defined as the distance from the image-side surface of the ninth lens to the image plane along the optical axis; D42t62 is defined as the distance from the image-side surface of the fourth lens to the image-side surface of the sixth lens along the optical axis; D52t62 is defined as the distance from the image-side surface of the fifth lens to the image-side surface of the sixth lens along the optical axis; and D72t91 is defined as the distance from the image-side surface of the seventh lens to the object-side surface of the ninth lens along the optical axis. T3 is defined as the thickness of the third lens on the optical axis, T5 as the thickness of the fifth lens on the optical axis, T8 as the thickness of the eighth lens on the optical axis, T9 as the thickness of the ninth lens on the optical axis, G12 as the distance on the optical axis from the image side of the first lens to the object side of the second lens, G34 as the distance on the optical axis from the image side of the third lens to the object side of the fourth lens, G45 as the distance on the optical axis from the image side of the fourth lens to the object side of the fifth lens, G67 as the distance on the optical axis from the image side of the sixth lens to the object side of the seventh lens, G78 as the distance on the optical axis from the image side of the seventh lens to the object side of the eighth lens, and G89 as the distance on the optical axis from the image side of the eighth lens to the object side of the ninth lens.

[0011] Fnot is defined as the aperture value of the zoom lens in telephoto mode, Fnow is defined as the aperture value of the zoom lens 1 in wide-angle mode, fw is defined as the effective focal length of the zoom lens in wide-angle mode, ft is defined as the effective focal length of the zoom lens in telephoto mode, HFOVw is defined as the half angle of view of the zoom lens in wide-angle mode, and HFOVt is defined as the half angle of view of the zoom lens in telephoto mode. Attached Figure Description

[0012] Figure 1 A schematic diagram illustrating the method for determining the curvature shape of the zoom lens of the present invention. Figure 1 ; Figure 2 A schematic diagram illustrating the method for determining the curvature shape of the zoom lens of the present invention. Figure 2 ; Figure 3 A schematic diagram illustrating the method for determining the curvature shape of the zoom lens of the present invention. Figure 3 ; Figure 4 A schematic diagram illustrating the method for determining the curvature shape of the zoom lens of the present invention. Figure 4 ; Figure 5 A schematic diagram illustrating the method for determining the curvature shape of the zoom lens of the present invention. Figure 5 ; Figure 6 A schematic diagram illustrating a first embodiment of the zoom lens of the present invention; Figure 7 A schematic diagram illustrating the positional arrangement of each lens group and light-deflecting element in the zoom lens of the present invention; Figure 8A A schematic diagram of longitudinal spherical aberration and various aberrations of the zoom lens of the first embodiment at wide-angle and infinite object distance is shown; wherein, A is a schematic diagram of longitudinal spherical aberration, B is field curvature aberration in the sagittal direction, C is field curvature aberration in the meridional direction, and D is distortion aberration; Figure 8B A schematic diagram of longitudinal spherical aberration and various aberrations of the zoom lens of the first embodiment in telephoto mode and at infinite object distance is shown; wherein, E is a schematic diagram of longitudinal spherical aberration, F is field curvature aberration in the sagittal direction, G is field curvature aberration in the meridional direction, and H is distortion aberration; Figure 9A A schematic diagram illustrating the longitudinal spherical aberration and various aberrations of the zoom lens of the first embodiment in wide-angle and macro modes is shown; wherein, A is a schematic diagram of longitudinal spherical aberration, B is the field curvature aberration in the sagittal direction, C is the field curvature aberration in the meridional direction, and D is the distortion aberration; Figure 9B A schematic diagram of longitudinal spherical aberration and various aberrations of the zoom lens of the first embodiment in telephoto and macro modes is shown; wherein, E is a schematic diagram of longitudinal spherical aberration, F is field curvature aberration in the sagittal direction, G is field curvature aberration in the meridional direction, and H is distortion aberration; Figure 10 A schematic diagram illustrating a second embodiment of the zoom lens of the present invention; Figure 11A A schematic diagram of longitudinal spherical aberration and various aberrations of the zoom lens of the second embodiment at wide-angle and infinite object distance is shown; wherein, A is a schematic diagram of longitudinal spherical aberration, B is field curvature aberration in the sagittal direction, C is field curvature aberration in the meridional direction, and D is distortion aberration; Figure 11B A schematic diagram of longitudinal spherical aberration and various aberrations of the zoom lens of the second embodiment in telephoto mode and at infinite object distance is shown; wherein, E is a schematic diagram of longitudinal spherical aberration, F is field curvature aberration in the sagittal direction, G is field curvature aberration in the meridional direction, and H is distortion aberration; Figure 12 A schematic diagram illustrating a third embodiment of the zoom lens of the present invention; Figure 13A A schematic diagram of longitudinal spherical aberration and various aberrations of the zoom lens of the third embodiment at wide-angle and infinite object distance is shown; wherein, A is a schematic diagram of longitudinal spherical aberration, B is field curvature aberration in the sagittal direction, C is field curvature aberration in the meridional direction, and D is distortion aberration; Figure 13BA schematic diagram of longitudinal spherical aberration and various aberrations of the zoom lens of the third embodiment in telephoto mode and at infinite object distance is shown; wherein, E is a schematic diagram of longitudinal spherical aberration, F is field curvature aberration in the sagittal direction, G is field curvature aberration in the meridional direction, and H is distortion aberration; Figure 14 A schematic diagram illustrating a fourth embodiment of the zoom lens of the present invention; Figure 15A A schematic diagram of longitudinal spherical aberration and various aberrations of the zoom lens of the fourth embodiment at wide-angle and infinite object distance is shown; wherein, A is a schematic diagram of longitudinal spherical aberration, B is field curvature aberration in the sagittal direction, C is field curvature aberration in the meridional direction, and D is distortion aberration; Figure 15B A schematic diagram of longitudinal spherical aberration and various aberrations of the zoom lens of the fourth embodiment is shown in the telephoto state and when the object distance is infinite; wherein, E is a schematic diagram of longitudinal spherical aberration, F is the field curvature aberration in the sagittal direction, G is the field curvature aberration in the meridional direction, and H is the distortion aberration; Figure 16 A schematic diagram illustrating a fifth embodiment of the zoom lens of the present invention; Figure 17A A schematic diagram of longitudinal spherical aberration and various aberrations of the zoom lens of the fifth embodiment at wide-angle and infinite object distance is shown; wherein, A is a schematic diagram of longitudinal spherical aberration, B is field curvature aberration in the sagittal direction, C is field curvature aberration in the meridional direction, and D is distortion aberration; Figure 17B A schematic diagram of longitudinal spherical aberration and various aberrations of the zoom lens of the fifth embodiment in telephoto mode and at infinite object distance is shown; wherein, E is a schematic diagram of longitudinal spherical aberration, F is field curvature aberration in the sagittal direction, G is field curvature aberration in the meridional direction, and H is distortion aberration; Figure 18 A schematic diagram illustrating a sixth embodiment of the zoom lens of the present invention; Figure 19A A schematic diagram of longitudinal spherical aberration and various aberrations of the zoom lens of the sixth embodiment at wide-angle and infinite object distance is shown; wherein, A is a schematic diagram of longitudinal spherical aberration, B is field curvature aberration in the sagittal direction, C is field curvature aberration in the meridional direction, and D is distortion aberration; Figure 19B A schematic diagram of longitudinal spherical aberration and various aberrations of the zoom lens of the sixth embodiment is shown in the telephoto state and at infinite object distance; wherein, E is a schematic diagram of longitudinal spherical aberration, F is the field curvature aberration in the sagittal direction, G is the field curvature aberration in the meridional direction, and H is the distortion aberration; Figure 20 A schematic diagram illustrating a seventh embodiment of the zoom lens of the present invention; Figure 21AA schematic diagram illustrating the longitudinal spherical aberration and various aberrations of the zoom lens of the seventh embodiment in wide-angle mode and at infinite object distance is shown; wherein, A is a schematic diagram of longitudinal spherical aberration, B is the field curvature aberration in the sagittal direction, C is the field curvature aberration in the meridional direction, and D is the distortion aberration; Figure 21B A schematic diagram of longitudinal spherical aberration and various aberrations of the zoom lens of the seventh embodiment is shown in the telephoto state and at infinite object distance; wherein, E is a schematic diagram of longitudinal spherical aberration, F is the field curvature aberration in the sagittal direction, G is the field curvature aberration in the meridional direction, and H is the distortion aberration; Figure 22 A schematic diagram illustrating an eighth embodiment of the zoom lens of the present invention; Figure 23A A schematic diagram of longitudinal spherical aberration and various aberrations of the zoom lens of the eighth embodiment at wide-angle and infinite object distance is shown; wherein, A is a schematic diagram of longitudinal spherical aberration, B is field curvature aberration in the sagittal direction, C is field curvature aberration in the meridional direction, and D is distortion aberration; Figure 23B A schematic diagram of longitudinal spherical aberration and various aberrations of the zoom lens of the eighth embodiment is shown in the telephoto state and at infinite object distance; wherein, E is a schematic diagram of longitudinal spherical aberration, F is the field curvature aberration in the sagittal direction, G is the field curvature aberration in the meridional direction, and H is the distortion aberration; Figure 24 A schematic diagram illustrating a ninth embodiment of the zoom lens of the present invention; Figure 25A A schematic diagram illustrating the longitudinal spherical aberration and various aberrations of the zoom lens of the ninth embodiment in wide-angle mode and at infinite object distance is shown; wherein, A is a schematic diagram of longitudinal spherical aberration, B is the field curvature aberration in the sagittal direction, C is the field curvature aberration in the meridional direction, and D is the distortion aberration; Figure 25B A schematic diagram of longitudinal spherical aberration and various aberrations is shown for the zoom lens of the ninth embodiment in telephoto mode and at infinite object distance; wherein, E is a schematic diagram of longitudinal spherical aberration, F is field curvature aberration in the sagittal direction, G is field curvature aberration in the meridional direction, and H is distortion aberration; Figure 26 This shows detailed optical data for the first embodiment; Figure 27 This shows detailed aspherical data for the first embodiment; Figure 28 The optical data for the zoom lens in both telephoto and wide-angle states in the first embodiment are detailed. Figure 29 This shows detailed optical data for the second embodiment; Figure 30 This indicates detailed aspherical data for the second embodiment; Figure 31The optical data for the zoom lens in both telephoto and wide-angle states in the second embodiment are detailed. Figure 32 This describes the detailed optical data of the third embodiment; Figure 33 This describes the detailed aspherical data of the third embodiment; Figure 34 The optical data for the zoom lens in both telephoto and wide-angle states in the third embodiment are detailed. Figure 35 This shows the detailed optical data for the fourth embodiment; Figure 36 This shows the detailed aspherical data of the fourth embodiment; Figure 37 The optical data for the zoom lens in both telephoto and wide-angle states in the fourth embodiment are detailed. Figure 38 This shows detailed optical data for the fifth embodiment; Figure 39 This shows the detailed aspherical data of the fifth embodiment; Figure 40 The optical data for the zoom lens in both telephoto and wide-angle states in the fifth embodiment are shown in detail. Figure 41 This shows the detailed optical data for the sixth embodiment; Figure 42 This shows the detailed aspherical data of the sixth embodiment; Figure 43 The optical data for the zoom lens in both telephoto and wide-angle states in the sixth embodiment are detailed. Figure 44 This shows the detailed optical data of the seventh embodiment; Figure 45 This shows the detailed aspherical data of the seventh embodiment; Figure 46 The optical data for the zoom lens in both telephoto and wide-angle states in the seventh embodiment are shown in detail. Figure 47 This shows the detailed optical data of the eighth embodiment; Figure 48 This shows the detailed aspherical data of the eighth embodiment; Figure 49 The optical data for the zoom lens in both telephoto and wide-angle states in detail in the eighth embodiment are shown. Figure 50 This shows the detailed optical data of the ninth embodiment; Figure 51 This shows the detailed aspherical data of the ninth embodiment; Figure 52The optical data for the zoom lens in both telephoto and wide-angle states in the ninth embodiment are shown in detail. Figure 53 This section describes the key parameters for each embodiment; Figure 54 The key parameters for each embodiment are indicated.

[0013] Icon labels: 1: Zoom lens; 2: Aperture; 3: Filter; 4: Image plane; 5: Light deflector; 11, 21, 31, 41, 51, 61, 71, 81, 91: Side view of the object; 12, 22, 32, 42, 52, 62, 72, 82, 92: like a side view; 13, 16, 23, 26, 33, 36, 43, 46, 53, 56, 63, 66, 73, 76, 83, 86, 93, 96, Z1: Optical axis region; 14, 17, 24, 27, 34, 37, 44, 47, 54, 57, 64, 67, 74, 77, 84, 87, 94, 97, Z2: Circular region; 10: First lens; 20: Second lens; 30: Third lens; 40: Fourth lens; 50: Fifth lens; 60: Sixth lens; 70: Seventh lens; 80: Eighth lens; 90: Ninth lens; 100, 200, 300, 400, 500: Lenses; 130: Assembly section; 211, 212: Parallel rays; A1: Object side; A2: Image side; I: Optical axis; D1: First adjustable distance; D2: Second adjustable distance; D3: Third adjustable distance; LG1: First lens group; LG2: Second lens group; LG3: Third lens group; LG4: Fourth lens group; CP: Center point; CP1: First center point; CP2: Second center point; TP1: First conversion point; TP2: Second conversion point; OB: Optical boundary; I: Optical axis; Lc: Principal ray; Lm: Edge ray; EL: Extension line; Z3: Relay area; M, R: Intersection point; RA: Rotation axis. Detailed Implementation

[0014] The terms "optical axis region," "circumferential region," "concave surface," and "convex surface" used in this specification and the claims should be interpreted based on the definitions listed in this specification.

[0015] The optical system described in this specification includes at least one lens that receives imaging rays incident on the optical system from parallel to the optical axis to within a half-angle (HFOV) relative to the optical axis. The imaging rays pass through the optical system and form an image on the imaging plane. The statement "a lens has a positive (or negative) refractive index" means that the paraxial refractive index of the lens, calculated using Gaussian optics theory, is positive (or negative). The statement "the object side (or image side) of the lens" is defined as the specific range through which the imaging rays pass on the lens surface. The imaging rays include at least two types of rays: the chief ray (Lc) and the marginal ray (Lm) (e.g., ...). Figure 1 (As shown). The object side (or image side) of the lens can be divided into different regions depending on the location, including the optical axis region, the circumferential region, or one or more relay regions in some embodiments, which will be described in detail below.

[0016] Figure 1 This is a radial sectional view of lens 100. Two reference points are defined on the surface of lens 100: a center point and a transition point. The center point of the lens surface is the intersection of this surface and the optical axis I. For example... Figure 1 As illustrated, the first center point CP1 is located on the object-side surface 110 of lens 100, and the second center point CP2 is located on the image-side surface 120 of lens 100. A transition point is a point on the lens surface whose tangent is perpendicular to the optical axis I. The optical boundary OB of the lens surface is defined as the point where the outermost radially outermost edge ray Lm passing through the lens surface intersects the lens surface. All transition points are located between the optical axis I and the optical boundary OB of the lens surface. In addition, the surface of lens 100 may have no transition points or at least one transition point. If a single lens surface has multiple transition points, these transition points are named sequentially from the first transition point in the radially outward direction. For example, the first transition point TP1 (closest to the optical axis I), the second transition point TP2 (as shown in the example), and the third transition point TP2 (as shown in the example) are named sequentially from the first transition point in the radially outward direction. Figure 4 (as shown) and the Nth conversion point (farthest from optical axis I).

[0017] When the lens surface has at least one transition point, the region from the center point to the first transition point TP1 is defined as the optical axis region, which includes the center point. The region radially outward from the transition point farthest from optical axis I (the Nth transition point) to the optical boundary OB is defined as the circumferential region. In some embodiments, a relay region may be included between the optical axis region and the circumferential region; the number of relay regions depends on the number of transition points. When the lens surface has no transition points, 0% to 50% of the distance from optical axis I to the optical boundary OB of the lens surface is defined as the optical axis region, and 50% to 100% of the distance from optical axis I to the optical boundary OB of the lens surface is defined as the circumferential region.

[0018] When a ray parallel to optical axis I passes through a region, if the ray bends towards optical axis I and the intersection point with optical axis I is located on the image side A2 of the lens, then that region is a convex surface. When a ray parallel to optical axis I passes through a region, if the extension of the ray intersects optical axis I at the object side A1 of the lens, then that region is a concave surface.

[0019] In addition, see Figure 1 The lens 100 may also include an assembly portion 130 extending radially outward from the optical boundary OB. The assembly portion 130 is generally used for assembling the lens 100 to a corresponding element (not shown) in an optical system. Imaging rays do not reach the assembly portion 130. The structure and shape of the assembly portion 130 are merely illustrative examples of the invention and are not intended to limit the scope of the invention. The assembly portion 130 of the lens discussed below may be partially or entirely omitted in the drawings.

[0020] See Figure 2 Define the region between the center point CP and the first conversion point TP1 as the optical axis region Z1. Define the region between the first conversion point TP1 and the optical boundary OB of the lens surface as the circumferential region Z2. For example... Figure 2 As shown, parallel ray 211 intersects optical axis I at the image side A2 of lens 200 after passing through optical axis region Z1. That is, the focal point of parallel ray 211 passing through optical axis region Z1 is located at point R on the image side A2 of lens 200. Since the ray intersects optical axis I at the image side A2 of lens 200, optical axis region Z1 is convex. Conversely, parallel ray 212 diverges after passing through circular region Z2. Figure 2 As shown, the extension EL of parallel ray 212 after passing through the circular region Z2 intersects the optical axis I at the object side A1 of the lens 200. That is, the focal point of parallel ray 212 after passing through the circular region Z2 is located at point M on the object side A1 of the lens 200. Since the extension EL of the ray intersects the optical axis I at the object side A1 of the lens 200, the circular region Z2 is concave. Figure 2 In the lens 200 shown, the first conversion point TP1 is the boundary between the optical axis region and the circumferential region, that is, the first conversion point TP1 is the boundary point between the convex surface and the concave surface.

[0021] On the other hand, the convexity / concavity of the optical axis region can also be determined using the method commonly used by those knowledgeable in the field: judging the convexity / concavity of the lens's optical axis region by the sign of the paraxial radius of curvature (R-value). The R-value is commonly used in optical design software, such as Zemax or CodeV. It is also frequently found in lens data sheets within optical design software. For the object-side, a positive R-value indicates a convex optical axis region, while a negative R-value indicates a concave optical axis region. Conversely, for the image-side, a positive R-value indicates a concave optical axis region, while a negative R-value indicates a convex optical axis region. This method yields results consistent with the aforementioned method using the intersection of a ray / ray extension with the optical axis, where the focal point of a ray parallel to the optical axis is located on either the object-side or image-side of the lens to determine the convexity / concavity. The terms "a region is convex (or concave)," "a region is convex (or concave)," or "a convex (or concave) region" used in this specification may be used interchangeably.

[0022] Figures 3 to 5 Examples of determining the surface shape and boundaries of the lens region in various situations are provided, including the aforementioned optical axis region, circumferential region, and relay region.

[0023] Figure 3 This is a radial sectional view of lens 300. See also... Figure 3 The image-side surface 320 of lens 300 has only one transition point TP1 within the optical boundary OB. The optical axis region Z1 and circumferential region Z2 of the image-side surface 320 of lens 300 are as follows... Figure 3 As shown. The R value of the side surface 320 of this image is positive (i.e., R>0), therefore, the optical axis region Z1 is concave.

[0024] Generally, the surface shape of each region bounded by a transition point will be opposite to that of its adjacent regions. Therefore, the transition point can be used to define the change in surface shape, i.e., from the transition point, a surface changes from concave to convex or from convex to concave. Figure 3 In the middle, since the optical axis region Z1 is concave and its shape changes at the transition point TP1, the circumferential region Z2 is convex.

[0025] Figure 4 This is a radial sectional view of lens 400. See also... Figure 4 The object-side surface 410 of lens 400 has a first conversion point TP1 and a second conversion point TP2. The area between the optical axis I and the first conversion point TP1 is defined as the optical axis region Z1 of the object-side surface 410. The R value of this object-side surface 410 is positive (i.e., R>0), therefore, the optical axis region Z1 is convex.

[0026] The area between the second conversion point TP2 and the optical boundary OB of the object-side surface 410 of the lens 400 is defined as a circumferential region Z2, which is also a convex surface. Furthermore, the area between the first conversion point TP1 and the second conversion point TP2 is defined as a relay region Z3, which is also a concave surface. See again. Figure 4 The object-side surface 410, radially outward from the optical axis I, sequentially includes the optical axis region Z1 between the optical axis I and the first conversion point TP1, the relay region Z3 located between the first conversion point TP1 and the second conversion point TP2, and the circumferential region Z2 between the second conversion point TP2 and the optical boundary OB of the object-side surface 410 of the lens 400. Since the optical axis region Z1 is convex, and its surface shape changes to concave from the first conversion point TP1, the relay region Z3 is concave. Furthermore, its surface shape changes to convex again from the second conversion point TP2, so the circumferential region Z2 is convex.

[0027] Figure 5 This is a radial sectional view of lens 500. The object-side surface 510 of lens 500 has no transition point. For a lens surface without a transition point, such as the object-side surface 510 of lens 500, the region from 0% to 50% of the distance measured from the optical axis I to the optical boundary OB of the lens surface is defined as the optical axis region, and the region from 50% to 100% of the distance measured from the optical axis I to the optical boundary OB of the lens surface is defined as the circumferential region. See also Figure 5 The lens 500 shown defines the optical axis region Z1 of the object-side surface 510 as 50% of the distance from the optical axis I to the optical boundary OB of the lens 500 surface. The R value of this object-side surface 510 is positive (i.e., R>0), therefore, the optical axis region Z1 is convex. Since the object-side surface 510 of the lens 500 has no transition point, the circumferential region Z2 of the object-side surface 510 is also convex. The lens 500 may further have an assembly portion (not shown) extending radially outward from the circumferential region Z2.

[0028] Please refer to Figure 6 and Figure 7 ,like Figure 6 As shown, this embodiment provides a zoom lens 1, which, from the object side A1 where an object (not shown) is placed to the image side A2 where the image is formed, along the optical axis I, is mainly composed of nine lenses, which sequentially include a first lens group LG1, an aperture 2, a second lens group LG2, a third lens group LG3, a fourth lens group LG4, and an image plane 4. Each of the first lens group LG1, the second lens group LG2, the third lens group LG3, and the fourth lens group LG4 contains a plurality of lenses. Figure 6The illustration shows a first lens group LG1 including a first lens 10, a second lens group LG2 including a second lens 20, a third lens group LG3 including a third lens 30, a fourth lens 40, a fifth lens 50, and a sixth lens 60, and a fourth lens group LG4 including a seventh lens 70, an eighth lens 80, and a ninth lens 90, but the present invention is not limited thereto.

[0029] In various embodiments of the present invention, the zoom lens 1 is a zoom focusing lens that includes a light deflection element 5, such as a prism. Figure 7 A schematic diagram illustrating the positional relationship between the lens groups and the light-deflecting element 5 included in the zoom lens 1 of the present invention is shown. Figure 7 In this process, when light enters the zoom lens 1, it sequentially passes through the first lens group LG1, the light-deflecting element 5, the second lens group LG2, the third lens group LG3, and the fourth lens group LG4 before reaching the imaging surface 4. The main purpose of the light-deflecting element 5 is to change the direction of light travel and reduce the overall length of the zoom lens 1, thereby allowing the zoom lens 1 to be installed in a portable electronic product with limited thickness. To simplify the complexity of the software simulation of this invention, the lens configuration diagram of the zoom lens 1 shown in various embodiments of this invention (e.g., ...) is provided below. Figure 6 In all subsequent embodiments, the light-reflecting element 5 is depicted as a planar structure equivalent to a prism. However, it is understood that the actual positional relationship between the various lens groups and the light-reflecting element 5 in the zoom lens 1 of each embodiment should be as follows: Figure 7 As shown.

[0030] Furthermore, the light-reflecting element 5 is equipped with an optical anti-shake mechanism (not shown), which is used to drive the light-reflecting element 5 to perform compensation operations. Please refer to... Figure 7 The rotation axis RA is shown in the diagram. In this embodiment, the rotation axis RA is positioned 1.5 mm from the image-side surface (i.e., the surface near the second lens group LG2) of the light-reflecting element 5 towards the object-side surface (i.e., the surface near the first lens group LG1). When the zoom lens 1 vibrates, the optical image stabilization mechanism can drive the light-reflecting element 5 to rotate clockwise or counterclockwise along the X-axis with the rotation axis RA as the axis. By changing the angle of the light-reflecting element 5, the direction of the optical axis of light travel can be adjusted to compensate for image displacement on the imaging surface 4, thereby achieving the effect of optical image stabilization (OIS). Therefore, the relative positions of the first lens group LG1 and the second lens group LG2 will change.

[0031] The zoom lens 1 of the present invention also includes an adjustable distance. The adjustable distance is adjacent to each adjacent lens group, for example, it may be located between the second lens group LG2 and the aperture 2, between the third lens group LG3 and the fourth lens group LG4, or possibly between the filter 3 and the imaging plane 4. Each lens group can move along the optical axis I towards the object side A1 or the image side A2. When each lens group moves along the optical axis I, the length of the adjustable distance changes accordingly, allowing the zoom lens 1 of the present invention to form several different focusing states, thereby achieving the effect of magnification transformation, for example, forming a telephoto state corresponding to a telephoto lens and a wide-angle state corresponding to a short focal length lens. The zoom lens 1 of the present invention is a zoom lens designed to have both zoom and focusing functions.

[0032] In the drawings of this invention, the lens diagrams of each embodiment clearly reveal the number, surface shape, and other parameters of each lens in that embodiment. Since the number, surface shape, and other parameters of the lenses are the same in both the wide-angle and telephoto states of the zoom lens, only the distance between the lenses changes. To simplify the drawings, the lens diagrams in each embodiment show the structure of the zoom lens in the wide-angle state, but not the structure in the telephoto state. Furthermore, in the embodiments described below, the first embodiment fully illustrates the aberration diagrams for four different focusing states of the zoom lens (i.e., wide-angle state with infinite object distance, telephoto state with infinite object distance, wide-angle state with macro object distance, and telephoto state with macro object distance). For the sake of simplicity, the remaining embodiments only illustrate the aberration diagrams for two of the focusing states (i.e., wide-angle state with infinite object distance and telephoto state with infinite object distance). However, it is understood that the remaining aberration diagrams can still be reproduced through simulation using the surface shape parameters already disclosed in this invention.

[0033] Generally speaking, the first lens 10, second lens 20, third lens 30, fourth lens 40, fifth lens 50, sixth lens 60, seventh lens 70, eighth lens 80, and ninth lens 90 in the zoom lens 1 of this invention can all be made of transparent plastic material, but this invention is not limited thereto. Each lens has an appropriate refractive index. Optical axis I is the optical axis of the entire zoom lens 1, so the optical axis of each lens is the same as the optical axis of the zoom lens 1.

[0034] In various embodiments of the present invention, the filter 3 is disposed between the ninth lens 90 and the imaging surface 4. It can be a filter with various suitable functions, such as an infrared cut-off filter, which is used to prevent infrared rays in the imaging light from being transmitted to the imaging surface 4 and affecting the imaging quality.

[0035] In addition, this zoom lens 1 also includes an aperture stop 2, set in an appropriate position. Figure 6In this context, aperture 2 is set within an adjustable distance between the second lens group LG2 and the third lens group LG3, specifically between the second lens 20 and the third lens 30. For example... Figure 6 As illustrated, when light emitted from the object to be photographed (not shown) located on the object side A1 enters the zoom lens 1 of the present invention, it will sequentially pass through the first lens 10, the light deflection element 5, the second lens 20, the aperture 2, the third lens 30, the fourth lens 40, the fifth lens 50, the sixth lens 60, the seventh lens 70, the eighth lens 80, the ninth lens 90 and the filter 3, and then be focused on the imaging surface 4 on the image side A2 to form a clear image.

[0036] Each lens in the zoom lens 1 of the present invention has an object-side surface facing the object side A1 and through which imaging light passes, and an image-side surface facing the image side A2 and through which imaging light passes. Furthermore, each lens in the zoom lens 1 of the present invention also has an optical axis region and a circumferential region. For example, the first lens 10 has an object-side surface 11 and an image-side surface 12; the second lens 20 has an object-side surface 21 and an image-side surface 22; the third lens 30 has an object-side surface 31 and an image-side surface 32; the fourth lens 40 has an object-side surface 41 and an image-side surface 42; the fifth lens 50 has an object-side surface 51 and an image-side surface 52; the sixth lens 60 has an object-side surface 61 and an image-side surface 62; the seventh lens 70 has an object-side surface 71 and an image-side surface 72; the eighth lens 80 has an object-side surface 81 and an image-side surface 82; and the ninth lens 90 has an object-side surface 91 and an image-side surface 92. Each object-side surface and each image-side surface also has an optical axis region and a circumferential region.

[0037] Each lens in the zoom lens 1 of this invention also has a thickness T along the optical axis I. For example, the first lens 10 has a first lens thickness T1, the second lens 20 has a second lens thickness T2, the third lens 30 has a third lens thickness T3, the fourth lens 40 has a fourth lens thickness T4, the fifth lens 50 has a fifth lens thickness T5, the sixth lens 60 has a sixth lens thickness T6, the seventh lens 70 has a seventh lens thickness T7, the eighth lens 80 has an eighth lens thickness T8, and the ninth lens 90 has a ninth lens thickness T9. ALT is the sum of the thicknesses of all lenses in the zoom lens 1 of this invention along the optical axis I. Therefore, the ALT of the zoom lens 1 = T1 + T2 + T3 + T4 + T5 + T6 + T7 + T8 + T9. Furthermore, this invention defines Tlast as the thickness of the last lens (that is, the lens closest to the imaging plane 4, such as the ninth lens 90) along the optical axis I.

[0038] In the zoom lens 1 of the present invention, there is a distance between each lens located on the optical axis I. For example, G12 is the distance on optical axis I from the image side 12 of the first lens 10 to the object side 21 of the second lens 20; G23 is the distance on optical axis I from the image side 22 of the second lens 20 to the object side 31 of the third lens 30; G34 is the distance on optical axis I from the image side 32 of the third lens 30 to the object side 41 of the fourth lens 40; G45 is the distance on optical axis I from the image side 42 of the fourth lens 40 to the object side 51 of the fifth lens 50; G56 is the distance on optical axis I from the image side 52 of the fifth lens 50 to the object side 61 of the sixth lens 60; G67 is the distance on optical axis I from the image side 62 of the sixth lens 60 to the object side 71 of the seventh lens 70; G78 is the distance on optical axis I from the image side 72 of the seventh lens 70 to the object side 81 of the eighth lens 80; and G89 is the distance on optical axis I from the image side 82 of the eighth lens 80 to the object side 91 of the ninth lens 90. AAG is defined as the sum of the distances between all lenses of zoom lens 1 on optical axis I, i.e., AAG = G12 + G23 + G34 + G45 + G56 + G67 + G78 + G89. D1 is the first adjustable distance, i.e., the distance between the second lens group LG2 and aperture 2 on optical axis I; D2 is the second adjustable distance, i.e., the distance between the third lens group LG3 and the fourth lens group LG4 on optical axis I; D3 is the third adjustable distance, i.e., the distance between filter 3 and image plane 4 on optical axis I. Additionally, D0 can be defined as the distance from the object to the object side surface of the first lens 10 (i.e., object distance). When the object distance is infinity, D0 is infinitely large, while when the object distance is macro, D0 can be a significant value. TTL is the distance from the object side surface 11 of the first lens 10 to the image plane 4 on optical axis I, which is the system length of zoom lens 1. ImgH is the maximum image height of zoom lens 1.

[0039] In addition, D11t21 is the distance on optical axis I from the object side 11 of the first lens 10 to the object side 21 of the second lens 20, D42t62 is the distance on optical axis I from the image side 42 of the fourth lens 40 to the image side 62 of the sixth lens 60, D72t91 is the distance on optical axis I from the image side 72 of the seventh lens 70 to the object side 91 of the ninth lens 90, and D52t62 is the distance on optical axis I from the image side 52 of the fifth lens 50 to the image side 62 of the sixth lens 60.

[0040] When filter 3 is positioned between the ninth lens 90 and the imaging surface 4, G9F represents the distance from the ninth lens 90 to filter 3 on optical axis I, TF represents the thickness of filter 3 on optical axis I, GFP represents the distance from filter 3 to imaging surface 4 on optical axis I, and BFL is the back focal length of zoom lens 1, i.e., the distance from the image side surface 92 of the ninth lens 90 to imaging surface 4 on optical axis I, i.e., BFL = G9F + TF + GFP. Therefore, AAG + BFL is the sum of all distances between lenses plus the distance from the image side surface of the last lens (i.e., the ninth lens 90) to imaging surface 4; that is, the sum of G12, G23, G34, G45, G56, G67, G78, G89, G9F, TF, and GFP. Furthermore, if zoom lens 1 contains two or more optical axes in different directions (for example, the original direction of optical axis I is changed due to the light-deflecting element 5 provided in zoom lens 1), then the above distances are the sum of the distances along their respective corresponding optical axes I.

[0041] Furthermore, let us define: f1 as the focal length of the first lens 10; f2 as the focal length of the second lens 20; f3 as the focal length of the third lens 30; f4 as the focal length of the fourth lens 40; f5 as the focal length of the fifth lens 50; f6 as the focal length of the sixth lens 60; f7 as the focal length of the seventh lens 70; f8 as the focal length of the eighth lens 80; and f9 as the focal length of the ninth lens 90. Let n1 be the nd refractive index of the first lens 10; n2 be the nd refractive index of the second lens 20; n3 be the nd refractive index of the third lens 30; n4 be the nd refractive index of the fourth lens 40; n5 be the nd refractive index of the fifth lens 50; n6 be the nd refractive index of the sixth lens 60; n7 be the nd refractive index of the seventh lens 70; n8 be the nd refractive index of the eighth lens 80; and n9 be the nd refractive index of the ninth lens 90. fG1 is the focal length of the first lens group LG1; fG2 is the focal length of the second lens group LG2; fG3 is the focal length of the third lens group LG3; and Fg4 is the focal length of the fourth lens group LG4. V1 is the Vd Abbe number of the first lens 10; V2 is the Vd Abbe number of the second lens 20; V3 is the Vd Abbe number of the third lens 30; V4 is the Vd Abbe number of the fourth lens 40; V5 is the Vd Abbe number of the fifth lens 50; V6 is the Vd Abbe number of the sixth lens 60; V7 is the Vd Abbe number of the seventh lens 70; V8 is the Vd Abbe number of the eighth lens 80; and V9 is the Vd Abbe number of the ninth lens 90.

[0042] Additionally, fw is the effective focal length of zoom lens 1 in wide-angle mode; ft is the effective focal length of zoom lens 1 in telephoto mode. Fnow is the aperture value of zoom lens 1 in wide-angle mode; Fnot is the aperture value of zoom lens 1 in telephoto mode. HFOVw is the half-angle of zoom lens 1 in wide-angle mode, i.e., half of the maximum field of view; HFOVt is the half-angle of zoom lens 1 in telephoto mode, i.e., half of the maximum field of view.

[0043] In this invention, the following definitions are further provided: Δf is the change in effective focal length of zoom lens 1 between telephoto and wide-angle states, i.e., the difference between ft and fw; ΔFno is the change in aperture value of zoom lens 1 between telephoto and wide-angle states, i.e., the difference between Fnot and Fnow; ΔHFOV is the change in half-angle of zoom lens 1 between telephoto and wide-angle states, i.e., the difference between HFOVt and HFOVw; EPDt is the entrance pupil diameter of zoom lens 1 in telephoto state, equal to the effective focal length of zoom lens 1 in telephoto state divided by the aperture value; EPDw is the entrance pupil diameter of zoom lens 1 in wide-angle state, equal to the effective focal length of zoom lens 1 in wide-angle state divided by the aperture value. Furthermore, the object distance for all parameters in both telephoto and wide-angle states is infinite.

[0044] The material parameters of the lens disclosed in the optical datasheet of the embodiments are in the international glass code format of nd refractive index and Vd Abbe number, so that those skilled in the art can know the specific material implementation. Here, nd is the refractive index of the material at the d-helium yellow line of 587.56 nm, and Vd is calculated using the refractive index of the material at the d, F, and C wavelengths of the Fraunhofer spectrum. The focal length values ​​disclosed in the optical datasheet of the embodiments are calculated based on the refractive index of the optical system implemented at that wavelength. Since the primary wavelength of the embodiments of the present invention is 555 nm, the focal length values ​​of the present invention are calculated based on the refractive index of the material at 555 nm.

[0045] First Embodiment Please see Figure 6 The following describes a first embodiment of the zoom lens 1 of the present invention. In the following embodiments, the zoom lens 1 mainly includes four focusing states: wide-angle state with infinity object distance, telephoto state with infinity object distance, wide-angle state with macro object distance, and telephoto state with macro object distance. For the longitudinal spherical aberration on the imaging plane 4 of the zoom lens 1 in the wide-angle state and with infinity object distance, please refer to... Figure 8AFor Part A, the field curvature aberration of zoom lens 1 in the sagittal direction at wide-angle and infinite object distance, please refer to [reference needed]. Figure 8A For Part B, the field curvature aberrations in the tangential direction of zoom lens 1 at wide-angle and infinite object distance, please refer to [reference needed]. Figure 8A For Part C, distortion aberration of zoom lens 1 in wide-angle mode and at infinity object distance, please refer to [link / reference]. Figure 8A Part D. For the longitudinal spherical aberration on image plane 4 of zoom lens 1 in telephoto mode and at infinite object distance, please refer to [reference needed]. Figure 8B For section E, please refer to the field curvature aberration in the sagittal direction of zoom lens 1 in telephoto mode and at infinite object distance. Figure 8B For the F-section and field curvature aberrations of zoom lens 1 in the meridional direction at telephoto and infinite object distance, please refer to [reference needed]. Figure 8B For the G section, and the distortion and aberration of zoom lens 1 at telephoto and infinite object distance, please refer to [reference needed]. Figure 8B The H part. For longitudinal spherical aberration of zoom lens 1 in wide-angle and macro distance settings, please refer to... Figure 9A For Part A, please refer to the field curvature aberration in the sagittal direction of zoom lens 1 at wide-angle and macro distances. Figure 9A For Part B, please refer to the section on field curvature aberrations of zoom lens 1 in the meridional direction at wide-angle and macro distances. Figure 9A For Part C, please refer to the section on distortion and aberration of zoom lens 1 in wide-angle and macro settings. Figure 9A Part D. For longitudinal spherical aberration of zoom lens 1 in telephoto and macro modes, please refer to [reference needed]. Figure 9B For section E, please refer to the field curvature aberration in the sagittal direction of zoom lens 1 in wide-angle mode and macro mode. Figure 9B For the F-section and field curvature aberrations of zoom lens 1 in the meridional direction at wide-angle and macro distances, please refer to [reference needed]. Figure 9B For the G section, please refer to the distortion and aberration of zoom lens 1 in wide-angle mode and macro mode. Figure 9B The H part. In all embodiments, the Y-axis of each spherical aberration map represents the field of view, and its highest point is 1.0. In all embodiments, the Y-axis of each aberration map and distortion map represents the image height.

[0046] The zoom lens 1 of the first embodiment mainly consists of a first lens group LG1, a light-reflecting element 5, a second lens group LG2, an aperture 2, a third lens group LG3, a fourth lens group LG4, and an imaging plane 4. The first lens group LG1, the second lens group LG2, the third lens group LG3, and the fourth lens group LG4 contain a total of nine lenses with refractive power, namely, a first lens 10, a second lens 20, a third lens 30, a fourth lens 40, a fifth lens 50, a sixth lens 60, a seventh lens 70, an eighth lens 80, and a ninth lens 90. Specifically, the first lens group LG1 includes the first lens 10, the second lens group LG2 includes the second lens 20, the third lens group LG2 includes the third lens 30, the fourth lens 40, the fifth lens 50, and the sixth lens 60, and the fourth lens group LG4 includes the seventh lens 70, the eighth lens 80, and the ninth lens 90. The aperture 2 of the first embodiment is located between the second lens group LG2 and the third lens group LG3, specifically within the first adjustable distance D1 of the distance G23 between the second lens 20 and the third lens 30. In this embodiment, the first lens group LG1 has a positive refractive index, the second lens group LG2 has a negative refractive index, the third lens group LG3 has a positive refractive index, and the fourth lens group LG4 has a negative refractive index.

[0047] The first lens 10 has a positive refractive index. The optical axis region 13 of the object-side surface 11 of the first lens 10 is convex, and its circumferential region 14 is also convex. The optical axis region 16 of the image-side surface 12 of the first lens 10 is concave, and its circumferential region 17 is also concave. Both the object-side surface 11 and the image-side surface 12 of the first lens 10 are aspherical, but this is not a limitation.

[0048] The second lens 20 has a negative refractive index. The optical axis region 23 of the object-side surface 21 of the second lens 20 is concave, and its circumferential region 24 is also concave. The optical axis region 26 of the image-side surface 22 of the second lens 20 is convex, and its circumferential region 27 is also convex. Both the object-side surface 21 and the image-side surface 22 of the second lens 20 are aspherical, but this is not a limitation.

[0049] The third lens 30 has a positive refractive index. The optical axis region 33 and its circumferential region 34 of the object-side surface 31 of the third lens 30 are convex, and the optical axis region 36 and its circumferential region 37 of the image-side surface 32 of the third lens 30 are convex. Both the object-side surface 31 and the image-side surface 32 of the third lens 30 are aspherical, but this is not a limitation.

[0050] The fourth lens 40 has a negative refractive index. The optical axis region 43 of the object-side surface 41 of the fourth lens 40 is concave, and its circumferential region 44 is also concave. The optical axis region 46 of the image-side surface 42 of the fourth lens 40 is convex, and its circumferential region 47 is also convex. Both the object-side surface 41 and the image-side surface 42 of the fourth lens 40 are aspherical, but this is not a limitation.

[0051] The fifth lens 50 has a positive refractive index. The optical axis region 53 of the object-side surface 51 of the fifth lens 50 is concave, and its circumferential region 54 is also concave. The optical axis region 56 of the image-side surface 52 of the fifth lens 50 is convex, and its circumferential region 57 is also convex. Both the object-side surface 51 and the image-side surface 52 of the fifth lens 50 are aspherical, but this is not a limitation.

[0052] The sixth lens 60 has a positive refractive index. The optical axis region 63 of the object-side surface 61 of the sixth lens 60 is concave, and its circumferential region 64 is also concave. The optical axis region 66 of the image-side surface 62 of the sixth lens 60 is convex, and its circumferential region 67 is also convex. Both the object-side surface 61 and the image-side surface 62 of the sixth lens 60 are aspherical, but this is not a limitation.

[0053] The seventh lens 70 has a positive refractive index. The optical axis region 73 of the object-side surface 71 of the seventh lens 70 is convex, and its circumferential region 74 is also convex. The optical axis region 76 of the image-side surface 72 of the seventh lens 70 is convex, and its circumferential region 77 is concave. Both the object-side surface 71 and the image-side surface 72 of the seventh lens 70 are aspherical, but this is not a limitation.

[0054] The eighth lens 80 has a positive refractive index. The optical axis region 83 of the object-side surface 81 of the eighth lens 80 is concave, and its circumferential region 84 is also concave. The optical axis region 86 of the image-side surface 82 of the eighth lens 80 is concave, and its circumferential region 87 is also convex. Both the object-side surface 81 and the image-side surface 82 of the eighth lens 80 are aspherical, but this is not a limitation.

[0055] The ninth lens 90 has a negative refractive index. The optical axis region 93 and its circumferential region 94 of the object-side surface 91 of the ninth lens 90 are concave. The optical axis region 96 and its circumferential region 97 of the image-side surface 92 of the ninth lens 90 are concave. Both the object-side surface 91 and the image-side surface 92 of the ninth lens 90 are aspherical, but this is not a limitation.

[0056] In the zoom lens 1 of this embodiment, from the first lens 10 to the ninth lens 90, the object-side surface 11 / 21 / 31 / 41 / 51 / 61 / 71 / 81 / 91 and the image-side surface 12 / 22 / 32 / 42 / 52 / 62 / 72 / 82 / 92 may be aspherical, but are not limited thereto. If the object-side surface or image-side surface of the lens of the present invention is aspherical, such aspherical surface is defined by the following formula:

[0057] in: Y represents the perpendicular distance between a point on the aspherical surface and the optical axis I; Z represents the depth of the aspherical surface (the perpendicular distance between a point on the aspherical surface that is Y away from the optical axis I and the tangent plane that is tangent to the vertex on the optical axis I of the aspherical surface). R represents the radius of curvature of the lens surface near the optical axis I; K is the conic constant. a i Let a be the i-th order aspherical coefficient, where the a2 coefficient in each embodiment is 0.

[0058] The optical data of the zoom lens 1 system in the first embodiment are as follows: Figure 26 As shown, the aspherical data is as follows Figure 27 As shown, the optical data of zoom lens 1 in both telephoto and wide-angle states include: object distance D0, first adjustable distance D1, second adjustable distance D2, third adjustable distance D3, effective focal length (EFL), aperture value (Fno), half angle of view (HFOV), focal length fG1 of the first lens group LG1, focal length fG2 of the second lens group LG2, focal length fG3 of the third lens group LG3, and focal length fG4 of the fourth lens group LG4. Figure 28 As shown. In the zoom lens 1 system of the following embodiments, the zoom lens 1 in wide-angle and telephoto states will have different values ​​for object distance, adjustable distance, effective focal length, aperture value, and half angle of view. The effective focal length, image height, radius of curvature, thickness, distance, object distance, and length of the zoom lens 1 are all in millimeters (mm), and the unit of HFOV is degrees (or simply Deg. in the table). The object distance D0 for infinity is set to infinity, and the object distance D0 for macro is set to 300mm. In this embodiment, ImgH = 6.129mm; TTL = 42.646mm.

[0059] In this embodiment, in wide-angle mode with infinite object distance, the longitudinal spherical aberration is ±0.04mm; the sagittal aberration is ±0.04mm; the meridional aberration is ±0.07mm; and the distortion aberration is ±2%. In telephoto mode with infinite object distance, the longitudinal spherical aberration is ±0.045mm; the sagittal aberration is ±0.05mm; the meridional aberration is ±0.08mm; and the distortion aberration is ±2%. In wide-angle mode with minimal object distance, the longitudinal spherical aberration is ±0.04mm; the sagittal aberration is ±0.04mm; the meridional aberration is ±0.08mm; and the distortion aberration is ±3%. In telephoto mode with minimal object distance, the longitudinal spherical aberration is ±0.04mm; the sagittal aberration is ±0.06mm; the meridional aberration is ±0.1mm; and the distortion aberration is ±2%.

[0060] Second Embodiment Please see Figure 10The diagram illustrates a second embodiment of the zoom lens 1 of the present invention. Note that, starting with the second embodiment, only the optical axis regions and circumferential regions of each lens with different surface shapes compared to the first embodiment are specifically marked on the diagram; the optical axis regions and circumferential regions with the same surface shapes as the lenses in the first embodiment, such as concave or convex surfaces, are not separately marked. Furthermore, as mentioned above, starting with the second embodiment, aberration diagrams for two focusing states of the zoom lens 1 (i.e., wide-angle state with infinite object distance and telephoto state with infinite object distance) are drawn, while aberration diagrams for other focusing states are not drawn. However, it is understood that the remaining undrawn aberration diagrams can still be reproduced through simulation using the surface shape parameters disclosed in this invention.

[0061] For the longitudinal spherical aberration on the imaging plane 4 of the zoom lens 1 in the second embodiment at wide-angle and infinite object distance, please refer to [reference needed]. Figure 11A For Part A, regarding the field curvature aberration in the sagittal direction of zoom lens 1 at wide-angle and infinite object distance, please refer to [reference needed]. Figure 11A For Part B, regarding the field curvature aberration of zoom lens 1 in the meridional direction at wide-angle and infinite object distance, please refer to [reference needed]. Figure 11A For Part C, regarding distortion and aberration of zoom lens 1 in wide-angle mode and at infinity object distance, please refer to [reference needed]. Figure 11A For part D, regarding the longitudinal spherical aberration of zoom lens 1 on image plane 4 when in telephoto mode and at infinite object distance, please refer to [reference needed]. Figure 11B For section E, please refer to the field curvature aberration in the sagittal direction of zoom lens 1 in telephoto mode and at infinite object distance. Figure 11B For the F-section and field curvature aberrations of zoom lens 1 in the meridional direction at telephoto and infinite object distance, please refer to [reference needed]. Figure 11B For the G part, and the distortion and aberration of zoom lens 1 in telephoto mode and at infinity object distance, please refer to [reference needed]. Figure 11BThe H part. The design of the second embodiment is similar to that of the first embodiment, except that the adjustable distance, lens refractive index, lens radius of curvature, lens thickness, lens aspherical coefficient, or back focal length are different. In addition, this embodiment differs from the first embodiment in that the third lens group LG3 has a negative refractive index, the fourth lens group LG4 has a positive refractive index, the optical axis region 26 of the image side 22 of the second lens 20 is concave and its circumferential region 27 is concave, the optical axis region 36 of the image side 32 of the third lens 30 is concave and its circumferential region 37 is concave, the fourth lens 40 has a positive refractive index, the optical axis region 43 of the object side 41 of the fourth lens 40 is convex and its circumferential region 44 is convex, the fifth lens 50 has a negative refractive index, and the third The fifth lens 50 has a concave optical axis region 56 on its image-side surface 52 and a concave circumferential region 57. The sixth lens 60 has a negative refractive index. The sixth lens 60 has a concave optical axis region 66 on its image-side surface 62 and a concave circumferential region 67. The seventh lens 70 has a convex circumferential region 77 on its image-side surface 72. The eighth lens 80 has a convex optical axis region 83 on its object-side surface 81 and a concave circumferential region 87 on its image-side surface 82. The ninth lens 90 has a convex optical axis region 93 on its object-side surface 91 and a convex circumferential region 94.

[0062] Detailed optical data for the second embodiment are as follows: Figure 29 As shown, the aspherical data is as follows Figure 30 As shown, the optical data of zoom lens 1 in both telephoto and wide-angle states include: object distance D0, first adjustable distance D1, second adjustable distance D2, third adjustable distance D3, effective focal length (EFL), aperture value (Fno), half angle of view (HFOV), focal length fG1 of the first lens group LG1, focal length fG2 of the second lens group LG2, focal length fG3 of the third lens group LG3, and focal length fG4 of the fourth lens group LG4. Figure 31 As shown. In this embodiment, ImgH = 6.129 mm; TTL = 56.349 mm.

[0063] In this embodiment, when the object distance is infinitely large and the angle is wide, the longitudinal spherical aberration is ±0.05mm; the sagittal aberration is ±0.05mm; the meridional aberration is ±0.08mm; and the distortion aberration is ±1%. When the object distance is infinitely large and the angle is telescopic, the longitudinal spherical aberration is ±0.07mm; the sagittal aberration is ±0.08mm; the meridional aberration is ±0.2mm; and the distortion aberration is ±1.4%.

[0064] Compared with the first embodiment, this embodiment has the following advantages: 1. In the wide-angle state and with infinite object distance, the distortion aberration of this embodiment is better than that of the first embodiment; 2. In the telephoto state and with infinite object distance, the distortion aberration of this embodiment is better than that of the first embodiment.

[0065] Third Embodiment Please see Figure 12 This illustrates a third embodiment of the zoom lens 1 of the present invention. For the longitudinal spherical aberration on the imaging plane 4 of the zoom lens 1 of the third embodiment at wide-angle and infinite object distance, please refer to... Figure 13A For Part A, regarding the field curvature aberration in the sagittal direction of zoom lens 1 at wide-angle and infinite object distance, please refer to [reference needed]. Figure 13A For Part B, regarding the field curvature aberration of zoom lens 1 in the meridional direction at wide-angle and infinite object distance, please refer to [reference needed]. Figure 13A For Part C, regarding distortion and aberration of zoom lens 1 in wide-angle mode and at infinity object distance, please refer to [reference needed]. Figure 13A For part D, regarding the longitudinal spherical aberration of zoom lens 1 on image plane 4 when in telephoto mode and at infinite object distance, please refer to [reference needed]. Figure 13B For section E, please refer to the field curvature aberration in the sagittal direction of zoom lens 1 in telephoto mode and at infinite object distance. Figure 13B For the F-section and field curvature aberrations of zoom lens 1 in the meridional direction at telephoto and infinite object distance, please refer to [reference needed]. Figure 13B For the G part, and the distortion and aberration of zoom lens 1 in telephoto mode and at infinity object distance, please refer to [reference needed]. Figure 13B The H part. The design of the third embodiment is similar to that of the first embodiment, except that the adjustable distance, lens refractive index, lens radius of curvature, lens thickness, lens aspherical coefficient, or back focal length are different. In addition, this embodiment differs from the first embodiment in that the fourth lens group LG4 has a positive refractive index, the optical axis region 23 of the object side 21 of the second lens 20 is convex and its circumferential region 24 is convex, the optical axis region 26 of the image side 22 of the second lens 20 is concave and its circumferential region 27 is concave, the fourth lens 40 has a positive refractive index, the optical axis region 43 of the object side 41 of the fourth lens 40 is convex and its circumferential region 44 is convex, and the fifth lens 50 has a negative refractive index, the optical axis region 53 of the object side 51 of the fifth lens 50 is convex and its circumferential region 54 is convex. The fifth lens 50 has a concave optical axis region 56 and a concave circumferential region 57 on its image-side surface 52. The sixth lens 60 has a negative refractive index. The sixth lens 60 has a convex optical axis region 63 and a convex circumferential region 64 on its object-side surface 61. The sixth lens 60 has a negative refractive index. The eighth lens 80 has a convex optical axis region 83 and a convex circumferential region 84 on its object-side surface 81. The ninth lens 90 has a convex optical axis region 93 and a convex circumferential region 94 on its object-side surface 91.

[0066] Detailed optical data for the third embodiment are as follows: Figure 32As shown in Figure 33, the aspherical data includes the object distance D0, first adjustable distance D1, second adjustable distance D2, third adjustable distance D3, effective focal length (EFL), aperture value (Fno), half angle of view (HFOV), and optical data for zoom lens 1 in both telephoto and wide-angle states, such as fG1 of the first lens group LG1, fG2 of the second lens group LG2, fG3 of the third lens group LG3, and fG4 of the fourth lens group LG4. Figure 34 As shown. In this embodiment, ImgH = 6.129 mm; TTL = 53.000 mm.

[0067] In this embodiment, when the object distance is infinitely large in the wide-angle view, the longitudinal spherical aberration is ±0.06 mm; the sagittal aberration is ±0.06 mm; the meridional aberration is ±0.08 mm; and the distortion aberration is ±0.4%. When the object distance is infinitely large in the telephoto view, the longitudinal spherical aberration is ±0.09 mm; the sagittal aberration is ±0.08 mm; the meridional aberration is ±0.1 mm; and the distortion aberration is ±0.5%.

[0068] Compared with the first embodiment, this embodiment has the following advantages: 1. In the wide-angle state and with infinite object distance, the distortion aberration of this embodiment is better than that of the first embodiment; 2. In the telephoto state and with infinite object distance, the distortion aberration of this embodiment is better than that of the first embodiment.

[0069] Fourth embodiment Please see Figure 14 This illustrates a fourth embodiment of the zoom lens 1 of the present invention. For the longitudinal spherical aberration on the imaging plane 4 of the zoom lens 1 of the fourth embodiment at wide-angle and infinite object distance, please refer to... Figure 15A For Part A, regarding the field curvature aberration in the sagittal direction of zoom lens 1 at wide-angle and infinite object distance, please refer to [reference needed]. Figure 15A For Part B, regarding the field curvature aberration of zoom lens 1 in the meridional direction at wide-angle and infinite object distance, please refer to [reference needed]. Figure 15A For Part C, regarding distortion and aberration of zoom lens 1 in wide-angle mode and at infinity object distance, please refer to [reference needed]. Figure 15A For part D, regarding the longitudinal spherical aberration of zoom lens 1 on image plane 4 when in telephoto mode and at infinite object distance, please refer to [reference needed]. Figure 15B For section E, please refer to the field curvature aberration in the sagittal direction of zoom lens 1 in telephoto mode and at infinite object distance. Figure 15B For the F-section and field curvature aberrations of zoom lens 1 in the meridional direction at telephoto and infinite object distance, please refer to [reference needed]. Figure 15B For the G part, and the distortion and aberration of zoom lens 1 in telephoto mode and at infinity object distance, please refer to [reference needed]. Figure 15BThe H part. The design of the fourth embodiment is similar to that of the first embodiment, except that the adjustable distance, lens refractive index, lens radius of curvature, lens thickness, lens aspherical coefficient, or back focal length are different. In addition, this embodiment differs from the first embodiment in that the optical axis region 23 of the object side 21 of the second lens 20 is convex and its circumferential region 24 is convex, the optical axis region 26 of the image side 22 of the second lens 20 is concave and its circumferential region 27 is concave, the third lens 30 has a negative refractive index, the optical axis region 36 of the image side 32 of the third lens 30 is concave and its circumferential region 37 is concave, the fourth lens 40 has a positive refractive index, the optical axis region 43 of the object side 41 of the fourth lens 40 is convex and its circumferential region 44 is convex, the fifth lens 50 has a negative refractive index, the sixth lens 60 has a negative refractive index, and the optical axis region 73 of the object side 71 of the seventh lens 70 is concave.

[0070] Detailed optical data for the fourth embodiment are as follows: Figure 35 As shown in Figure 36, the aspherical data includes the object distance D0, first adjustable distance D1, second adjustable distance D2, third adjustable distance D3, effective focal length (EFL), aperture value (Fno), half angle of view (HFOV), and optical data for zoom lens 1 in both telephoto and wide-angle states, such as fG1 of the first lens group LG1, fG2 of the second lens group LG2, fG3 of the third lens group LG3, and fG4 of the fourth lens group LG4. Figure 37 As shown. In this embodiment, ImgH = 6.129 mm; TTL = 44.885 mm.

[0071] In this embodiment, when the object distance is infinitely large in the wide-angle view, the longitudinal spherical aberration is ±0.06 mm; the sagittal aberration is ±0.06 mm; the meridional aberration is ±0.1 mm; and the distortion aberration is ±1.6%. When the object distance is infinitely large in the telephoto view, the longitudinal spherical aberration is ±0.08 mm; the sagittal aberration is ±0.08 mm; the meridional aberration is ±0.1 mm; and the distortion aberration is ±1%.

[0072] Compared with the first embodiment, this embodiment has the following advantages: 1. In the wide-angle state and with infinite object distance, the distortion aberration of this embodiment is better than that of the first embodiment; 2. In the telephoto state and with infinite object distance, the distortion aberration of this embodiment is better than that of the first embodiment.

[0073] Fifth Embodiment Please see Figure 16 This illustrates a fifth embodiment of the zoom lens 1 of the present invention. For the longitudinal spherical aberration on the imaging plane 4 of the zoom lens 1 of the fifth embodiment at wide-angle and infinite object distance, please refer to... Figure 17AFor Part A, regarding the field curvature aberration in the sagittal direction of zoom lens 1 at wide-angle and infinite object distance, please refer to [reference needed]. Figure 17A For Part B, regarding the field curvature aberration of zoom lens 1 in the meridional direction at wide-angle and infinite object distance, please refer to [reference needed]. Figure 17A For Part C, regarding distortion and aberration of zoom lens 1 in wide-angle mode and at infinity object distance, please refer to [reference needed]. Figure 17A For part D, regarding the longitudinal spherical aberration of zoom lens 1 on image plane 4 when in telephoto mode and at infinite object distance, please refer to [reference needed]. Figure 17B For section E, please refer to the field curvature aberration in the sagittal direction of zoom lens 1 in telephoto mode and at infinite object distance. Figure 17B For the F-section and field curvature aberrations of zoom lens 1 in the meridional direction at telephoto and infinite object distance, please refer to [reference needed]. Figure 17B For the G part, and the distortion and aberration of zoom lens 1 in telephoto mode and at infinity object distance, please refer to [reference needed]. Figure 17B The design of the fifth embodiment is similar to that of the first embodiment, except that the adjustable distance, lens refractive index, lens radius of curvature, lens thickness, lens aspherical coefficient, or back focal length are different. Furthermore, this embodiment differs from the first embodiment in that the seventh lens 70 has a negative refractive index, and the optical axis region 76 of the image-side surface 72 of the seventh lens 70 is concave; the eighth lens 80 has a negative refractive index, and the optical axis region 83 and its circumferential region 84 of the object-side surface 81 of the eighth lens 80 are convex, and the circumferential region 87 of the image-side surface 82 of the eighth lens 80 is concave; the ninth lens 90 has a positive refractive index, and the optical axis region 93 and its circumferential region 94 of the object-side surface 91 of the ninth lens 90 are convex.

[0074] Detailed optical data for the fifth embodiment are as follows: Figure 38 As shown in Figure 39, the aspherical data includes the object distance D0, first adjustable distance D1, second adjustable distance D2, third adjustable distance D3, effective focal length (EFL), aperture value (Fno), half angle of view (HFOV), and optical data for zoom lens 1 in both telephoto and wide-angle states, such as fG1 of the first lens group LG1, fG2 of the second lens group LG2, fG3 of the third lens group LG3, and fG4 of the fourth lens group LG4. Figure 40 As shown. In this embodiment, ImgH = 6.129 mm; TTL = 49.074 mm.

[0075] In this embodiment, when the object distance is infinitely large and the angle is wide, the longitudinal spherical aberration is ±0.02mm; the sagittal aberration is ±0.04mm; the meridional aberration is ±0.08mm; and the distortion aberration is ±3%. When the object distance is infinitely large and the angle is telescopic, the longitudinal spherical aberration is ±0.12mm; the sagittal aberration is ±0.12mm; the meridional aberration is ±0.12mm; and the distortion aberration is ±1.2%.

[0076] Compared with the first embodiment, this embodiment has the following advantages: 1. In the wide-angle state and with infinite object distance, the longitudinal spherical aberration of this embodiment is better than that of the first embodiment; 2. In the wide-angle state and with infinite object distance, the sagittal aberration of this embodiment is better than that of the first embodiment; 3. In the wide-angle state and with infinite object distance, the meridional aberration of this embodiment is better than that of the first embodiment; 4. In the telescope state and with infinite object distance, the distortion aberration of this embodiment is better than that of the first embodiment.

[0077] Sixth Embodiment Please see Figure 18 This illustrates a sixth embodiment of the zoom lens 1 of the present invention. For the longitudinal spherical aberration on the imaging plane 4 of the zoom lens 1 of the sixth embodiment at wide-angle and infinite object distance, please refer to... Figure 19A For Part A, regarding the field curvature aberration in the sagittal direction of zoom lens 1 at wide-angle and infinite object distance, please refer to [reference needed]. Figure 19A For Part B, regarding the field curvature aberration of zoom lens 1 in the meridional direction at wide-angle and infinite object distance, please refer to [reference needed]. Figure 19A For Part C, regarding distortion and aberration of zoom lens 1 in wide-angle mode and at infinity object distance, please refer to [reference needed]. Figure 19A For part D, regarding the longitudinal spherical aberration of zoom lens 1 on image plane 4 when in telephoto mode and at infinite object distance, please refer to [reference needed]. Figure 19B For section E, please refer to the field curvature aberration in the sagittal direction of zoom lens 1 in telephoto mode and at infinite object distance. Figure 19B For the F-section and field curvature aberrations of zoom lens 1 in the meridional direction at telephoto and infinite object distance, please refer to [reference needed]. Figure 19B For the G part, and the distortion and aberration of zoom lens 1 in telephoto mode and at infinity object distance, please refer to [reference needed]. Figure 19B The H part. The design of the sixth embodiment is similar to that of the first embodiment, except that the adjustable distance, lens refractive index, lens radius of curvature, lens thickness, lens aspherical coefficient, or back focal length are different. In addition, this embodiment differs from the first embodiment in that the fifth lens 50 has a negative refractive index, the circumferential region 57 of the image side 52 of the fifth lens 50 is concave, and the circumferential region 64 of the object side 61 of the sixth lens 60 is convex.

[0078] Detailed optical data for the sixth embodiment are as follows: Figure 41 As shown in Figure 42, the aspherical data includes the object distance D0, first adjustable distance D1, second adjustable distance D2, third adjustable distance D3, effective focal length (EFL), aperture value (Fno), half angle of view (HFOV), and optical data for zoom lens 1 in both telephoto and wide-angle states, such as fG1 of the first lens group LG1, fG2 of the second lens group LG2, fG3 of the third lens group LG3, and fG4 of the fourth lens group LG4. Figure 43 As shown. In this embodiment, ImgH = 6.129 mm; TTL = 59.331 mm.

[0079] In this embodiment, in wide-angle mode with infinite object distance, the longitudinal spherical aberration is 0.045 ± mm; the sagittal aberration is ± 0.2 mm; the meridional aberration is ± 1.0 mm; and the distortion aberration is ± 2%. In telephoto mode with infinite object distance, the longitudinal spherical aberration is ± 0.035 mm; the sagittal aberration is ± 0.05 mm; the meridional aberration is ± 0.1 mm; and the distortion aberration is ± 1.6%.

[0080] Compared with the first embodiment, this embodiment has the following advantages: 1. When the object distance is infinite in the telescope state, the longitudinal spherical aberration of this embodiment is better than that of the first embodiment; 2. When the object distance is infinite in the telescope state, the distortion aberration of this embodiment is better than that of the first embodiment.

[0081] Seventh Embodiment Please see Figure 20 This illustrates a seventh embodiment of the zoom lens 1 of the present invention. For the longitudinal spherical aberration on the imaging plane 4 of the zoom lens 1 of the seventh embodiment at wide-angle and infinite object distance, please refer to... Figure 21A For Part A, regarding the field curvature aberration in the sagittal direction of zoom lens 1 at wide-angle and infinite object distance, please refer to [reference needed]. Figure 21A For Part B, regarding the field curvature aberration of zoom lens 1 in the meridional direction at wide-angle and infinite object distance, please refer to [reference needed]. Figure 21A For Part C, regarding distortion and aberration of zoom lens 1 in wide-angle mode and at infinity object distance, please refer to [reference needed]. Figure 21A For part D, regarding the longitudinal spherical aberration of zoom lens 1 on image plane 4 when in telephoto mode and at infinite object distance, please refer to [reference needed]. Figure 21B For section E, please refer to the field curvature aberration in the sagittal direction of zoom lens 1 in telephoto mode and at infinite object distance. Figure 21B For the F-section and field curvature aberrations of zoom lens 1 in the meridional direction at telephoto and infinite object distance, please refer to [reference needed]. Figure 21B For the G part, and the distortion and aberration of zoom lens 1 in telephoto mode and at infinity object distance, please refer to [reference needed]. Figure 21BThe H part. The design of the seventh embodiment is similar to that of the first embodiment, except that the adjustable distance, lens refractive index, lens radius of curvature, lens thickness, lens aspherical coefficient, or back focal length are different. In addition, this embodiment differs from the first embodiment in that the optical axis region 23 of the object side 21 of the second lens 20 is convex and its circumferential region 24 is convex, and the optical axis region 26 of the image side 22 of the second lens 20 is concave and its circumferential region 27 is concave.

[0082] Detailed optical data for the seventh embodiment are as follows: Figure 44 As shown in Figure 45, the aspherical data includes the object distance D0, first adjustable distance D1, second adjustable distance D2, third adjustable distance D3, effective focal length (EFL), aperture value (Fno), half angle of view (HFOV), and optical data for zoom lens 1 in both telephoto and wide-angle states, such as fG1 of the first lens group LG1, fG2 of the second lens group LG2, fG3 of the third lens group LG3, and fG4 of the fourth lens group LG4. Figure 46 As shown. In this embodiment, under zoom mode, ImgH = 6.129mm; TTL = 42.780mm.

[0083] In this embodiment, in wide-angle mode with infinite object distance, the longitudinal spherical aberration is ±0.03mm; the sagittal aberration is ±0.04mm; the meridional aberration is ±0.08mm; and the distortion aberration is ±2%. In telephoto mode with infinite object distance, the longitudinal spherical aberration is ±0.07mm; the sagittal aberration is ±0.06mm; the meridional aberration is ±0.1mm; and the distortion aberration is ±1.6%.

[0084] Compared with the first embodiment, this embodiment has the following advantages: 1. In the wide-angle state and with infinite object distance, the longitudinal spherical aberration of this embodiment is better than that of the first embodiment; 2. In the telephoto state and with infinite object distance, the distortion aberration of this embodiment is better than that of the first embodiment.

[0085] Eighth embodiment Please see Figure 22 This illustrates an eighth embodiment of the zoom lens 1 of the present invention. For the longitudinal spherical aberration on the imaging plane 4 of the zoom lens 1 of the eighth embodiment at wide-angle and infinite object distance, please refer to... Figure 23A For Part A, regarding the field curvature aberration in the sagittal direction of zoom lens 1 at wide-angle and infinite object distance, please refer to [reference needed]. Figure 23A For Part B, regarding the field curvature aberration of zoom lens 1 in the meridional direction at wide-angle and infinite object distance, please refer to [reference needed]. Figure 23A For Part C, regarding distortion and aberration of zoom lens 1 in wide-angle mode and at infinity object distance, please refer to [reference needed]. Figure 23AFor part D, regarding the longitudinal spherical aberration of zoom lens 1 on image plane 4 when in telephoto mode and at infinite object distance, please refer to [reference needed]. Figure 23B For section E, please refer to the field curvature aberration in the sagittal direction of zoom lens 1 in telephoto mode and at infinite object distance. Figure 23B For the F-section and field curvature aberrations of zoom lens 1 in the meridional direction at telephoto and infinite object distance, please refer to [reference needed]. Figure 23B For the G part, and the distortion and aberration of zoom lens 1 in telephoto mode and at infinity object distance, please refer to [reference needed]. Figure 23B The design of the eighth embodiment is similar to that of the first embodiment, except that the adjustable distance, lens refractive index, lens radius of curvature, lens thickness, lens aspherical coefficient, or back focal length are different. Furthermore, this embodiment differs from the first embodiment in that the second lens group LG2 has a positive refractive index, the optical axis region 13 of the object side 11 of the first lens 10 is concave, the optical axis region 16 of the image side 12 of the first lens 10 is convex, the second lens 20 has a positive refractive index, the optical axis region 46 of the image side 42 of the fourth lens 40 is concave and its circumferential region 47 is concave, the optical axis region 53 of the object side 51 of the fifth lens 50 is concave and its circumferential region 54 is concave, the seventh lens 70 has a negative refractive index, the optical axis region 73 of the object side 71 of the seventh lens 70 is concave, and the circumferential region 97 of the image side 92 of the ninth lens 90 is convex.

[0086] Detailed optical data for the eighth embodiment are as follows: Figure 47 As shown in Figure 48, the aspherical data includes the object distance D0, first adjustable distance D1, second adjustable distance D2, third adjustable distance D3, effective focal length (EFL), aperture value (Fno), half angle of view (HFOV), and optical data for zoom lens 1 in both telephoto and wide-angle states, such as fG1 of the first lens group LG1, fG2 of the second lens group LG2, fG3 of the third lens group LG3, and fG4 of the fourth lens group LG4. Figure 49 As shown. In this embodiment, under zoom mode, ImgH = 6.129mm; TTL = 59.949mm.

[0087] In this embodiment, in wide-angle mode with infinite object distance, the longitudinal spherical aberration is ±0.014 mm; the sagittal aberration is ±0.04 mm; the meridional aberration is ±0.2 mm; and the distortion aberration is ±3%. In telephoto mode with infinite object distance, the longitudinal spherical aberration is ±0.03 mm; the sagittal aberration is ±0.04 mm; the meridional aberration is ±0.08 mm; and the distortion aberration is ±2%.

[0088] Compared with the first embodiment, this embodiment has the following advantages: 1. In the wide-angle state and with infinite object distance, the longitudinal spherical aberration of this embodiment is better than that of the first embodiment; 2. In the telephoto state and with infinite object distance, the longitudinal spherical aberration of this embodiment is better than that of the first embodiment; 3. In the telephoto state and with infinite object distance, the sagittal aberration of this embodiment is better than that of the first embodiment.

[0089] Ninth Embodiment Please see Figure 24 This illustrates a ninth embodiment of the zoom lens 1 of the present invention. For the longitudinal spherical aberration on the imaging plane 4 of the zoom lens 1 of the ninth embodiment at wide-angle and infinite object distance, please refer to... Figure 25A For Part A, regarding the field curvature aberration in the sagittal direction of zoom lens 1 at wide-angle and infinite object distance, please refer to [reference needed]. Figure 25A For Part B, regarding the field curvature aberration of zoom lens 1 in the meridional direction at wide-angle and infinite object distance, please refer to [reference needed]. Figure 25A For Part C, regarding distortion and aberration of zoom lens 1 in wide-angle mode and at infinity object distance, please refer to [reference needed]. Figure 25A For part D, regarding the longitudinal spherical aberration of zoom lens 1 on image plane 4 when in telephoto mode and at infinite object distance, please refer to [reference needed]. Figure 25B For section E, please refer to the field curvature aberration in the sagittal direction of zoom lens 1 in telephoto mode and at infinite object distance. Figure 25B For the F-section and field curvature aberrations of zoom lens 1 in the meridional direction at telephoto and infinite object distance, please refer to [reference needed]. Figure 25B For the G part, and the distortion and aberration of zoom lens 1 in telephoto mode and at infinity object distance, please refer to [reference needed]. Figure 25BThe design of the ninth embodiment is similar to that of the first embodiment, except that the adjustable distance, lens refractive index, lens radius of curvature, lens thickness, lens aspheric coefficient, or back focal length are different. In this embodiment, unlike the first embodiment, the optical axis region 16 and its circumferential region 17 of the image-side surface 12 of the first lens 10 are planar, therefore neither the optical axis region 16 nor the circumferential region 17 of the image-side surface 12 of the first lens 10 has an aspheric coefficient. The optical axis region 23 and its circumferential region 24 of the object-side surface 21 of the second lens 20 are convex, and the optical axis region 26 and its circumferential region 27 of the image-side surface 22 of the second lens 20 are concave. The third lens 30 has a negative refractive index, and the optical axis region 33 and its circumferential region 34 of the object-side surface 31 of the third lens 30 are concave. The fourth lens 40 has a concave surface and a positive refractive index. The optical axis region 43 of the object-side surface 41 of the fourth lens 40 is convex, as is its circumferential region 44. The fifth lens 50 has a negative refractive index and a concave optical axis region 56 of its image-side surface 52. The sixth lens 60 has a convex optical axis region 63 of its object-side surface 61 and a convex circumferential region 64. The seventh lens 70 has a negative refractive index and a concave optical axis region 73 of its object-side surface 71. The eighth lens 80 has a convex optical axis region 83 of its object-side surface 81 and a convex optical axis region 86 of its image-side surface 82. Furthermore, in this embodiment, the first lens 10 and the light-deflecting element 5 are integrated into a single optical element.

[0090] Detailed optical data for the ninth embodiment are as follows: Figure 50 As shown in Figure 51, the aspherical data includes the object distance D0, first adjustable distance D1, second adjustable distance D2, third adjustable distance D3, effective focal length (EFL), aperture value (Fno), half angle of view (HFOV), and optical data for zoom lens 1 in both telephoto and wide-angle states, such as fG1 of the first lens group LG1, fG2 of the second lens group LG2, fG3 of the third lens group LG3, and fG4 of the fourth lens group LG4. Figure 52 As shown. In this embodiment, under zoom mode, ImgH = 6.129mm; TTL = 48.000mm.

[0091] In addition, in this embodiment... At wide-angle and infinite object distance, the longitudinal spherical aberration is ±0.025 mm; the sagittal aberration is ±0.04 mm; the meridional aberration is ±0.12 mm; and the distortion aberration is ±1.6%. At telephoto and infinite object distance, the longitudinal spherical aberration is ±0.035 mm; the sagittal aberration is ±0.035 mm; the meridional aberration is ±0.05 mm; and the distortion aberration is ±1.6%.

[0092] This embodiment has the following advantages over the first embodiment: 1. In wide-angle mode with infinite object distance, the longitudinal spherical aberration of this embodiment is superior to that of the first embodiment; 2. In wide-angle mode with infinite object distance, the distortion aberration of this embodiment is superior to that of the first embodiment; 3. In telephoto mode with infinite object distance, the longitudinal spherical aberration of this embodiment is superior to that of the first embodiment; 4. In telephoto mode with infinite object distance, the sagittal aberration of this embodiment is superior to that of the first embodiment; 5. In telephoto mode with infinite object distance, the meridional aberration of this embodiment is superior to that of the first embodiment; 6. In telephoto mode with infinite object distance, the distortion aberration of this embodiment is superior to that of the first embodiment.

[0093] In addition, the important parameters in each embodiment are compiled in Figure 53 , Figure 54 middle.

[0094] According to various embodiments of the present invention, a zoom lens is provided that, when the conditions described in the following paragraphs are met, has the following corresponding effects, as detailed in the following paragraphs: 1. The present invention is a zoom lens 1 having four lens groups, wherein the first lens group LG1 has a positive refractive index, the first lens 10 has a positive refractive index, (ft+fw) / ImgH ≥ 5.0, and when one of the following three conditions is met: TTL / D11t21 ≤ 6.00, D11t21 / T2 ≥ 3.60, or D11t21 / Tlast ≥ 3.50, it is advantageous to provide an optical deflection element between the first lens group LG1 and the second lens group LG2. element)5, in order to reduce the size of zoom lens 1, and to facilitate the setting of OIS optical image stabilization device within this range for lens movement compensation, reducing the impact of lens movement on image quality, and at the same time increasing the magnification of telephoto and wide-angle lenses. The preferred limits are 12.00≧(ft+fw) / ImgH≧5.00 and 2.10≦TTL / D11t21≦6.00, 52.00≧D11t21 / T2≧3.60 or 32.00≧D11t21 / Tlast≧3.50.

[0095] 2. The more features the zoom lens 1 of the present invention further satisfies, the more advantageous it is to design a zoom lens 1 that can be installed in a portable electronic product and to correct aberrations when the relative positions of the lens groups change during zooming. The condition is as follows: the circumferential region 14 of the object side 11 of the first lens 10 is convex, the circumferential region 74 of the object side 71 of the seventh lens 70 is concave, the optical axis region 86 of the image side 82 of the eighth lens 80 is concave, and the optical axis region 96 of the image side 92 of the ninth lens 90 is concave.

[0096] 3. The more features the zoom lens 1 of the present invention further satisfies, the more advantageous it is to reduce longitudinal spherical aberration in different fields of view, as follows: the fourth lens 40 has a negative refractive index, the optical axis region 43 of the object side surface 41 of the fourth lens 40 is concave, the circumferential region 44 of the object side surface 41 of the fourth lens 40 is concave, the sixth lens 60 has a positive refractive index, and the optical axis region 73 of the object side surface 71 of the seventh lens 70 is convex.

[0097] 4. When the zoom lens 1 of the present invention further satisfies the conditions that the fifth lens 50 has a positive refractive index and the circumferential region 64 of the object side surface 61 of the sixth lens 60 is concave, it is beneficial to reduce field curvature.

[0098] 5. When the zoom lens 1 of the present invention further satisfies more of the following conditions, it is more beneficial to reduce distortion in different fields of view. The conditions are: the seventh lens 70 has a positive refractive index, the eighth lens 80 has a positive refractive index, and the ninth lens 90 has a negative refractive index.

[0099] 6. To improve the telephoto effect, the zoom lens 1 of the present invention satisfies 5.00 ≤ TTL. The conditional expression (Fnow + Fnot) / fw≦23.00 is beneficial for zoom lens 1 to zoom within a limited system length. It also simultaneously limits the aperture value in both wide-angle and telephoto modes, allowing for the capture of more imaging light to improve the relative illumination of the image.

[0100] 7. The zoom lens 1 of the present invention further satisfies the condition 0.80≦(V1+V5) / V2≦2.00, which is beneficial to correct the chromatic aberration generated by the second lens 20 by designing the first lens 10 and the fifth lens.

[0101] 8. The zoom lens 1 of the present invention further satisfies the condition 0.80≦(V1+V8) / V2≦2.00, which is beneficial to correct the chromatic aberration generated by the second lens 20 by means of the design of the first lens 10 and the eighth lens 80.

[0102] 9. The zoom lens 1 of the present invention further satisfies the condition 0.70≦(V5+V8) / V2≦1.50, which is beneficial to correct the chromatic aberration generated by the second lens 20 by means of the design of the fifth lens 50 and the eighth lens 80.

[0103] 10. The zoom lens 1 of the present invention further satisfies the condition 1.90≦(V3+V4) / V1≦5.80, which is beneficial to correct the chromatic aberration of the first lens 10 by means of the design of the third lens 30 and the fourth lens 40.

[0104] 11. The zoom lens 1 of the present invention further satisfies the condition 1.80≦(V3+V4) / V7≦2.50, which is beneficial to correct the chromatic aberration of the seventh lens 70 by means of the design of the third lens 30 and the fourth lens 40.

[0105] 12. The zoom lens 1 of the present invention further satisfies the condition 1.80≦(V3+V4) / V9≦2.50, which is beneficial to correct the chromatic aberration of the ninth lens 90 by means of the design of the third lens 30 and the fourth lens 40.

[0106] 13. The zoom lens 1 of the present invention further satisfies the condition HFOVt+HFOVw≦44.00 degrees, which is beneficial to simultaneously improve the zoom ratio of the zoom lens 1 relative to the f35=26mm lens in both wide-angle and telephoto states. The preferred limitation is 18.00 degrees≦HFOVt+HFOVw≦44.00 degrees.

[0107] 14. The zoom lens 1 of the present invention further satisfies the conditions of 1.20≦ft / fw≦1.45, 4.00mm≦Δf≦10.50mm, 0.40≦ΔFno≦1.10 or 2.80 degrees≦ΔHFOV≦5.00 degrees, which is beneficial to improving the zoom ratio of the zoom lens 1 in wide-angle and telephoto states.

[0108] 15. The zoom lens 1 of the present invention has only nine lenses, which is beneficial to improve image quality while limiting the size.

[0109] 16. When the conditions listed in Table 1 below are met, the aberration can be corrected by combining the third lens group LG3 with other lenses.

[0110] Table 1

[0111] 17. When the conditions listed in Table 2 below are met, it is advantageous to use the fourth lens group LG4 in combination with other lenses to achieve the purpose of correcting aberrations.

[0112] Table 2

[0113] 18. When the conditions listed in Table 3 below are met, it is advantageous to reduce the aperture value of zoom lens 1 in both telephoto and wide-angle states by controlling the third lens group LG3 and other parameters of zoom lens 1, thereby increasing the brightness of zoom lens 1.

[0114] Table 3

[0115] 19. When the conditions listed in Table 4 below are met, it is advantageous to increase the focal length in wide-angle and telephoto states by reducing the total thickness of the lenses and increasing the variable distance between the lens groups, thereby achieving the purpose of increasing the magnification.

[0116] Table 4

[0117] In addition, any combination of parameters in the embodiments can be selected to increase lens constraints, thereby facilitating lens design with the same architecture as the present invention.

[0118] In view of the unpredictability of optical system design, under the framework of the present invention, meeting the above conditions can better shorten the length of the system, have a small aperture value, have excellent optical quality, or improve the assembly yield and improve the shortcomings of the prior art. Furthermore, the use of plastic material for the lens in the embodiments of the present invention can further reduce the weight of the lens and save costs.

[0119] The numerical ranges, including the maximum and minimum values, obtained from the combined proportional relationships of the optical parameters disclosed in the various embodiments of the present invention can all be implemented accordingly.

[0120] The embodiments of this invention disclose optical parameters including, but not limited to, focal length, lens thickness, and Abbe number (Vd). For example, the present invention discloses an optical parameter A and an optical parameter B in various embodiments. The specific explanations of the ranges covered by these optical parameters, the comparative relationships between the optical parameters, and the conditional ranges covered by the multiple embodiments are as follows: (1) The range covered by the optical parameters, for example: α2≤A≤α1 or β2≤B≤β1, where α1 is the maximum value of optical parameter A in multiple embodiments, α2 is the minimum value of optical parameter A in multiple embodiments, β1 is the maximum value of optical parameter B in multiple embodiments, and β2 is the minimum value of optical parameter B in multiple embodiments.

[0121] (2) Comparison of optical parameters, for example: A is greater than B or A is less than B.

[0122] (3) The conditional range covered by multiple embodiments, specifically, the combination or proportional relationship obtained by possible calculations of a plurality of optical parameters of the same embodiment, defined as E. E may be, for example: A+B or AB or A / B or A B or (A) B) 1 / 2 E satisfies the condition E≤γ1 or E≧γ2 or γ2≤E≤γ1, where γ1 and γ2 are the values ​​obtained by calculation of optical parameter A and optical parameter B in the same embodiment, and γ1 is the maximum value in multiple embodiments of the present invention, and γ2 is the minimum value in multiple embodiments of the present invention.

[0123] The range covered by the aforementioned optical parameters, the comparative relationships between the optical parameters, and the maximum, minimum, and numerical ranges within these conditions are all features upon which the present invention can be implemented, and all fall within the scope disclosed in the present invention. The above are merely illustrative examples and should not be construed as limiting.

[0124] All embodiments of the present invention are feasible, and some feature combinations can be extracted from the same embodiment. Compared with the prior art, these feature combinations can achieve unexpected effects. These feature combinations include, but are not limited to, combinations of features such as surface shape, refractive index, and conditional features. The disclosure of the embodiments of the present invention is a specific example to illustrate the principles of the present invention and should not be limited to the disclosed embodiments. Furthermore, the embodiments and their accompanying drawings are only for illustrative purposes and are not limited thereto.

[0125] The foregoing outlines the features of several embodiments, enabling those skilled in the art to fully understand the various aspects of the invention. Those skilled in the art should recognize that the invention provides a basis for designing or modifying other processes and structures to achieve substantially the same functionality and / or results as the embodiments described above. Furthermore, such equivalent configurations do not depart from the spirit and scope of the invention, and various changes, substitutions, and modifications can be made without departing from that spirit and scope.

Claims

1. A zoom lens characterized by comprising: In order from an object side to an image side along an optical axis, a first lens, a second lens, a third lens, a fourth lens, a fifth lens, a sixth lens, a seventh lens, an eighth lens, and a ninth lens are sequentially included, and each of the first lens to the ninth lens includes an object side surface facing the object side and passing an imaging light ray and an image side surface facing the image side and passing the imaging light ray; The zoom lens includes only the nine lenses, the nine lenses form four lens groups, and a relative position in at least one axial direction between adjacent lens groups changes, so that the zoom lens has a wide angle state and a telephoto state; The first lens has a positive refractive power; The zoom lens satisfies the following conditional expressions: (ft+fw) / ImgH≧5.00 and TTL / D11t21≦6.00, where fw is defined as an effective focal length of the zoom lens 1 in the wide angle state, ft is defined as an effective focal length of the zoom lens 1 in the telephoto state, ImgH is defined as a maximum image height of the zoom lens, TTL is defined as a distance on the optical axis from the object side surface of the first lens to the image surface, and D11t21 is defined as a distance on the optical axis from the object side surface of the first lens to the object side surface of the second lens.

2. A zoom lens characterized by comprising: In order from an object side to an image side along an optical axis, a first lens, a second lens, a third lens, a fourth lens, a fifth lens, a sixth lens, a seventh lens, an eighth lens, and a ninth lens are sequentially included, and each of the first lens to the ninth lens includes an object side surface facing the object side and passing an imaging light ray and an image side surface facing the image side and passing the imaging light ray; The zoom lens includes only the nine lenses, the nine lenses form four lens groups, and a relative position in at least one axial direction between adjacent lens groups changes, so that the zoom lens has a wide angle state and a telephoto state; The first lens group has a positive refractive power; The first lens has a positive refractive power; The zoom lens satisfies the following conditional expressions: (ft+fw) / ImgH≧5.00, D11t21 / T2≧3.60, where fw is defined as an effective focal length of the zoom lens 1 in the wide angle state, ft is defined as an effective focal length of the zoom lens 1 in the telephoto state, ImgH is defined as a maximum image height of the zoom lens, D11t21 is defined as a distance on the optical axis from the object side surface of the first lens to the object side surface of the second lens, and T2 is defined as a thickness on the optical axis of the second lens.

3. A zoom lens characterized by comprising: In order from an object side to an image side along an optical axis, a first lens, a second lens, a third lens, a fourth lens, a fifth lens, a sixth lens, a seventh lens, an eighth lens, and a ninth lens are sequentially included, and each of the first lens to the ninth lens includes an object side surface facing the object side and passing an imaging light ray and an image side surface facing the image side and passing the imaging light ray; The zoom lens includes only the above nine lenses, the above nine lenses form four lens groups, and the relative positions of adjacent lens groups change in at least one axial direction, so that the zoom lens has a wide-angle state and a telephoto state; The first lens group has positive refractive power; The first lens has positive refractive power; The zoom lens satisfies the following condition formula: ((ft+fw) / ImgH≧5.00 and D11t21 / Tlast≧3.50, where fw is defined as the effective focal length of the zoom lens 1 in the wide-angle state, ft is defined as the effective focal length of the zoom lens 1 in the telephoto state, ImgH is defined as the maximum image height of the zoom lens, D11t21 is defined as the distance on the optical axis from the object side of the first lens to the object side of the second lens, and Tlast is defined as the thickness of the lens closest to an imaging surface among the nine lenses on the optical axis.

4. The zoom lens according to claim 1 or 2 or 3, characterized by: The zoom lens satisfies the following condition formula: D42t62 / T3≦5.70, where D42t62 is defined as the distance on the optical axis from the image side of the fourth lens to the image side of the sixth lens, and T3 is defined as the thickness of the third lens on the optical axis.

5. The zoom lens according to claim 1 or 2 or 3, characterized by: The zoom lens satisfies the following condition formula: D42t62 / G34≦7.50, where D42t62 is defined as the distance on the optical axis from the image side of the fourth lens to the image side of the sixth lens, and G34 is defined as the distance on the optical axis from the image side of the third lens to the object side of the fourth lens.

6. The zoom lens according to claim 1 or 2 or 3, characterized by: The zoom lens satisfies the following condition formula: D42t62 / G67≦3.40, where D42t62 is defined as the distance on the optical axis from the image side of the fourth lens to the image side of the sixth lens, and G67 is defined as the distance on the optical axis from the image side of the sixth lens to the object side of the seventh lens.

7. The zoom lens according to claim 1 or 2 or 3, characterized by: The zoom lens satisfies the following condition formula: D42t62 / T9≦4.50, where D42t62 is defined as the distance on the optical axis from the image side of the fourth lens to the image side of the sixth lens, and T9 is defined as the thickness of the ninth lens on the optical axis.

8. The zoom lens according to claim 1 or 2 or 3, characterized by: The zoom lens satisfies the following condition formula: D72t91 / T3≦9.50, where D72t91 is defined as the distance on the optical axis from the image side of the seventh lens to the object side of the ninth lens, and T3 is defined as the thickness of the third lens on the optical axis.

9. The zoom lens according to claim 1 or 2 or 3, characterized by: The zoom lens satisfies the following condition formula: D72t91 / G34≦14.80, where D72t91 is defined as the distance on the optical axis from the image side of the seventh lens to the object side of the ninth lens, and G34 is defined as the distance on the optical axis from the image side of the third lens to the object side of the fourth lens.

10. The zoom lens according to claim 1 or 2 or 3, characterized by: The zoom lens satisfies the following condition formula: D72t91 / G67≦13.00, where D72t91 is defined as the distance on the optical axis from the image side of the seventh lens to the object side of the ninth lens, and G67 is defined as the distance on the optical axis from the image side of the sixth lens to the object side of the seventh lens.

11. The zoom lens according to claim 1 or 2 or 3, characterized by: wherein the zoom lens satisfies the following conditional expression: D72t91 / T9≦10.80, where D72t91 is defined as the distance on the optical axis from the image-side surface of the seventh lens to the object-side surface of the ninth lens, and T9 is defined as the thickness on the optical axis of the ninth lens.

12. The zoom lens according to claim 1 or 2 or 3, characterized by: wherein the zoom lens satisfies the following conditional expression: (Fnot + Fnow) (D52t62 + G78 + G89) / G12 ≦ 1.80, where Fnot is defined as the aperture value of the zoom lens in the tele state, Fnow is defined as the aperture value of the zoom lens 1 in the wide state, D52t62 is defined as the distance on the optical axis from the image side surface of the fifth lens to the image side surface of the sixth lens, G12 is defined as the distance on the optical axis from the image side surface of the first lens to the object side surface of the second lens, G78 is defined as the distance on the optical axis from the image side surface of the seventh lens to the object side surface of the eighth lens, and G89 is defined as the distance on the optical axis from the image side surface of the eighth lens to the object side surface of the ninth lens.

13. The zoom lens according to claim 1 or 2 or 3, characterized by: wherein the zoom lens satisfies the following conditional expression: (Fnot+Fnow) (D52t62+G78+G89) / (G34+G45)≦12.00, where Fnot is defined as the aperture value of the zoom lens in the tele state, Fnow is defined as the aperture value of the zoom lens 1 in the wide state, D52t62 is defined as the distance on the optical axis from the image side surface of the fifth lens to the image side surface of the sixth lens, G34 is defined as the distance on the optical axis from the image side surface of the third lens to the object side surface of the fourth lens, G45 is defined as the distance on the optical axis from the image side surface of the fourth lens to the object side surface of the fifth lens, G78 is defined as the distance on the optical axis from the image side surface of the seventh lens to the object side surface of the eighth lens, and G89 is defined as the distance on the optical axis from the image side surface of the eighth lens to the object side surface of the ninth lens.

14. The zoom lens according to claim 1 or 2 or 3, characterized by: wherein the zoom lens satisfies the following conditional expression: (Fnot + Fnow) (D52t62 + G78 + G89) / (T5 + G67) ≦ 6.80, where Fnot is defined as the aperture value of the zoom lens in the tele state, Fnow is defined as the aperture value of the zoom lens 1 in the wide state, D52t62 is defined as the distance on the optical axis from the image side surface of the fifth lens to the image side surface of the sixth lens, T5 is defined as the thickness on the optical axis of the fifth lens, G67 is defined as the distance on the optical axis from the image side surface of the sixth lens to the object side surface of the seventh lens, G78 is defined as the distance on the optical axis from the image side surface of the seventh lens to the object side surface of the eighth lens, and G89 is defined as the distance on the optical axis from the image side surface of the eighth lens to the object side surface of the ninth lens.

15. The zoom lens according to claim 1 or 2 or 3, characterized by: wherein the zoom lens satisfies the following conditional expression: (Fnot + Fnow) (D52t62 + G78 + G89) / (T7 + T8) ≦ 5.10, where Fnot is defined as the aperture value of the zoom lens in the tele state, Fnow is defined as the aperture value of the zoom lens 1 in the wide state, D52t62 is defined as the distance on the optical axis from the image side surface of the fifth lens to the image side surface of the sixth lens, T7 is defined as the thickness on the optical axis of the seventh lens, T8 is defined as the thickness on the optical axis of the eighth lens, G78 is defined as the distance on the optical axis from the image side surface of the seventh lens to the object side surface of the eighth lens, and G89 is defined as the distance on the optical axis from the image side surface of the eighth lens to the object side surface of the ninth lens.

16. The zoom lens according to claim 1 or 2 or 3, characterized by: wherein the zoom lens satisfies the following conditional expression: (Fnot + Fnow) (D52t62 + G78 + G89) / (T8 + T9) ≦ 9.20, where Fnot is defined as the aperture value of the zoom lens in the tele state, Fnow is defined as the aperture value of the zoom lens 1 in the wide state, D52t62 is defined as the distance on the optical axis from the image side surface of the fifth lens to the image side surface of the sixth lens, T8 is defined as the thickness on the optical axis of the eighth lens, T9 is defined as the thickness on the optical axis of the ninth lens, G78 is defined as the distance on the optical axis from the image side surface of the seventh lens to the object side surface of the eighth lens, and G89 is defined as the distance on the optical axis from the image side surface of the eighth lens to the object side surface of the ninth lens.

17. The zoom lens according to claim 1 or 2 or 3, characterized by: wherein the zoom lens satisfies the following conditional expression: fw / ALT≦2.30, where fw is defined as the effective focal length of the zoom lens in the wide state, and ALT is defined as the sum of the thicknesses on the optical axis of all the lenses of the zoom lens.

18. The zoom lens according to claim 1 or 2 or 3, characterized by: wherein the zoom lens satisfies the following conditional expression: ft / ALT≦2.90, where ft is defined as the effective focal length of the zoom lens in the tele state, and ALT is defined as the sum of the thicknesses on the optical axis of all the lenses of the zoom lens.

19. The zoom lens according to claim 1 or 2 or 3, characterized by: wherein the zoom lens satisfies the following conditional expression: (AAG+BFL) / ALT≦3.00, AAG is defined as the sum of the spacings on the optical axis of all the lenses of the zoom lens, BFL is defined as the distance on the optical axis from the image-side surface of the ninth lens to the image plane, and ALT is defined as the sum of the thicknesses on the optical axis of all the lenses of the zoom lens.

20. The zoom lens according to claim 1 or 2 or 3, characterized by: wherein the zoom lens satisfies the following conditional expression: HFOVt+HFOVw≦44.00 degrees, where HFOVw is defined as the half field of view of the zoom lens in the wide state, and HFOVt is defined as the half field of view of the zoom lens in the tele state.

Images