Large-aperture high-definition optical system and camera module applying same
By designing a large aperture high-definition optical system composed of 6 lenses, the existing optical lens has solved the problem of small light input and low resolution, and high-performance imaging is achieved, suitable for on-board vehicles or security fields.
Patent Information
- Application Number
- CN202510011037.2
- Authority / Receiving Office
- CN · China
- Patent Type
- Applications(China)
- Current Assignee / Owner
- Filing Date
- 2025-01-03
- Publication Date
- 2025-03-18
- Estimated Expiration
- 2045-01-03
AI Technical Summary
Existing optical lenses have shortcomings such as small light input and low resolution in the on-board or security field, which are difficult to meet the needs of high-performance imaging.
A large aperture high-definition optical system consisting of 6 lenses was designed to optimize lens aberration and improve imaging quality by reasonably allocating the lens's power and material parameters.
It realizes a large aperture, high-definition optical system with excellent temperature characteristics, small volume and short total length, enhancing its competitiveness in the field of on-board or security.
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Figure CN119644548A_ABST
Abstract
Description
Technical Field
[0001] The present application relates to the field of optical imaging, and in particular to a large aperture high-definition optical system and a camera module using the same. Background Art
[0002] With the advancement of science and technology and social and economic development, camera lenses are widely used in automotive or security fields, but camera lenses or optical systems often have disadvantages such as high cost, poor imaging quality, low pixels, narrow visual range, and small amount of light entering. Summary of the invention In order to overcome the shortcomings of existing optical lenses such as small light input and low resolution, the present application provides an optical system with a large aperture, high-definition resolution, excellent temperature characteristics, and a high pixel, and a camera module applied thereto, which takes into account the characteristics of large aperture, high-definition resolution, excellent temperature characteristics, and a small size and short overall length, and has greater competitiveness in the automotive or security fields.
[0003] A large aperture high-definition optical system, which is composed of a first lens, a second lens, a third lens, a fourth lens, a fifth lens, and a sixth lens in sequence from the object plane to the image plane along the optical axis; The object side of the first lens is convex, the image side is concave, and its optical power is negative; The object side of the second lens is concave, the image side is convex, and its optical power is negative; The object side and the image side of the third lens are both convex, and its optical power is positive; The object side and the image side of the fourth lens are both convex, and its optical power is positive; The object side of the fifth lens is concave, the image side is convex or concave, and its optical power is negative; The object side of the sixth lens is convex, the image side is convex or concave, and its optical power is positive.
[0004] Preferably, each lens of the optical system satisfies the following conditions: -5.50mm<f1<-3.50mm; -10.5mm<f2<-9.0mm; 3.7mm<f3<5.2mm; 2.8mm<f4<3.9mm; -4.7mm<f5<-4.1mm; 7.5mm<f6<15mm; Among them, f1 is the focal length of the first lens, f2 is the focal length of the second lens, f3 is the focal length of the third lens, f4 is the focal length of the fourth lens, f5 is the focal length of the fifth lens, and f6 is the focal length of the sixth lens.
[0005] Preferably, the curvature radii R of the object surface and the image surface side of the second lens both satisfy: R < 0.
[0006] Preferably, the optical system meets the following conditions: TTL ≤ 15.1 mm; Wherein, TTL is the on-axis distance from the object side of the first lens to the imaging surface.
[0007] Preferably, the material refractive index Nd1 and the material Abbe number constant Vd1 of the first lens satisfy: 1.53<Nd1<1.73, 55.00<Vd1<65.00; The material refractive index Nd2 and the material Abbe number constant Vd2 of the second lens satisfy: 1.51<Nd2<1.62, 50<Vd2<57; The material refractive index Nd3 and the material Abbe number constant Vd3 of the third lens satisfy: 1.9<Nd3<2, 25.00<Vd3<37.00; The material refractive index Nd4 and the material Abbe number constant Vd4 of the fourth lens satisfy: 1.51<Nd4<1.62, 50<Vd4<57; The material refractive index Nd5 and the material Abbe number constant Vd5 of the fifth lens satisfy: 1.62<Nd5<1.69, 19<Vd5<21; The material refractive index Nd6 and the material Abbe number constant Vd6 of the sixth lens satisfy: 1.51<Nd6<1.62, 50<Vd6<57.
[0008] Preferably, the first lens and the third lens are spherical lenses, and the second lens, the fourth lens, the fifth lens and the sixth lens are aspherical lenses.
[0009] Preferably, the full field of view FOV of the optical system satisfies: 130°≤FOV.
[0010] Preferably, the fourth lens and the fifth lens form a cemented lens.
[0011] Preferably, the F number of the optical system is: 1.7≤F number≤1.9.
[0012] Preferably, the aperture stop of the optical system is located between the third lens and the fourth lens.
[0013] On the other hand, the present application also provides a camera lens, in which the above-mentioned optical system is installed.
[0014] Compared with the prior art, the present invention has the following beneficial effects: The present invention provides an optical system with large aperture, high-definition resolution, excellent temperature characteristics, and high pixels, and a camera module applied thereto, which is mainly composed of 6 lenses, and has the characteristics of large aperture, high-definition resolution, excellent temperature characteristics, small size and short total length, and has greater competitiveness in the vehicle-mounted or security field. BRIEF DESCRIPTION OF THE DRAWINGS
[0015] In order to more clearly illustrate the technical solutions in the embodiments of the present application, the following briefly introduces the drawings required for describing the embodiments.
[0016] Figure 1 It is a structural schematic diagram of the optical system or camera module of Example 1 of the present application; Figure 2 is an astigmatism and distortion curve diagram of the optical system or camera module of Example 1 of the present application; Figure 3 is an MTF curve diagram of the optical system or camera module of Example 1 of the present application; Figure 4 It is a structural schematic diagram of an optical system or a camera module according to Embodiment 2 of the present application; Figure 5 is an astigmatism and distortion curve diagram of the optical system or camera module of Example 2 of the present application; Figure 6 is an MTF curve diagram of the optical system or camera module of Example 2 of the present application; Figure 7 It is a structural schematic diagram of an optical system or a camera module according to Embodiment 3 of the present application; Figure 8 is an astigmatism and distortion curve diagram of the optical system or camera module of Example 3 of the present application; Fig. 9 It is an MTF curve diagram of the optical system or camera module of Example 3 of the present application. DETAILED DESCRIPTION
[0017] like Figure 1-9 As shown, the present application provides an optical system, which is composed of a first lens 1, a second lens 2, a third lens 3, a fourth lens 4, a fifth lens 5, an aperture 7, a sixth lens 6, an infrared filter 8, and a chip protection glass 9 in sequence from the object plane to the image plane 10 along the optical axis.
[0018] The object side of the first lens is convex, the image side is concave, and its optical power is negative; The object side of the second lens is concave, the image side is convex, and its optical power is negative; The object side and the image side of the third lens are both convex, and its optical power is positive; The object side and the image side of the fourth lens are both convex, and its optical power is positive; The object side of the fifth lens is concave, the image side is convex or concave, and its optical power is negative; The object side of the sixth lens is convex, the image side is convex or concave, and its optical power is positive; The present invention provides an optical system and a camera module used therein, which are mainly composed of 6 lenses, wherein the object surface side of the first lens is convex, the image surface side is concave, and the optical power is negative; the object surface side of the second lens is concave, the image surface side is convex, and the optical power is negative; the object surface side and the image surface side of the third lens are both convex, and the optical power is positive; the object surface side and the image surface side of the fourth lens are both convex, and the optical power is positive; the object surface side of the fifth lens is concave, the image surface side is convex or concave, and the optical power is negative; the object surface side of the sixth lens is convex, the image surface side is convex or concave, and the optical power is positive, the number of lenses is reasonable, the structure is simple, the optical power of the lenses is reasonably distributed, the lens aberration is optimized, the imaging quality of the optical system is improved, and the characteristics of large aperture, high-definition resolution, excellent temperature characteristics, small size and short total length are taken into account, and the optical system has greater competitiveness in the field of vehicle-mounted or security.
[0019] Further, as a preferred embodiment of the present invention but not limiting, each lens of the optical system satisfies the following conditions, wherein f1 is the focal length of the first lens, f2 is the focal length of the second lens, f3 is the focal length of the third lens, f4 is the focal length of the fourth lens, f5 is the focal length of the fifth lens, and f6 is the focal length of the sixth lens: (1) -5.50 mm<f1<-3.50 mm, by constraining the effective focal length of the first lens E1 within a reasonable range, the distortion of the system is controlled, and the imaging center has a higher angular resolution; (2) -10.5 mm<f2<-9.0 mm. By constraining the effective focal length of the second lens E2 within a reasonable range, the configured optical system has excellent temperature characteristics, thereby improving the imaging stability of the optical system at high and low temperatures and improving the imaging quality. (3) 3.7 mm<f3<5.2 mm. By constraining the effective focal length of the third lens E3 within a reasonable range, the spherical aberration of the system is fine-tuned and controlled, thereby effectively improving the imaging quality of the system. (4) 2.8 mm<f4<3.9 mm. By reasonably controlling the effective focal length of the fourth lens E4 within a reasonable range, the astigmatism and field curvature of the system are well corrected, effectively improving the imaging quality of the system. (5) -4.7 mm<f5<-4.1 mm. By constraining the effective focal length of the fifth lens E5 within a reasonable range, the configured optical system has excellent temperature characteristics, thereby improving the imaging stability of the optical system at high and low temperatures and improving the imaging quality. (6) 7.5 mm<f6<15 mm. By constraining the effective focal length of the sixth lens element E6 to a reasonable range, lens aberrations are optimized and the resolution performance is improved. Preferably, the material refractive index Nd1 and the material Abbe constant Vd1 of the first lens E1 satisfy: 1.53<Nd1<1.73, 55.00<Vd1<65.00. This design can effectively reduce chromatic aberration, optimize lens aberration, and thus effectively improve the imaging quality of the system; Preferably, the material refractive index Nd2 and the material Abbe number Vd2 of the second lens E2 satisfy: 1.51<Nd2<1.62, 50<Vd2<57, which can ensure good optical performance, further ensure the viewing angle, improve the lens resolution and adjust the lens distortion; Preferably, the material refractive index Nd3 and the material Abbe number Vd3 of the third lens E3 satisfy: 1.9<Nd3<2, 25.00<Vd3<37.00. This design can effectively reduce chromatic aberration, optimize lens aberration, and thus effectively improve the imaging quality of the system. Preferably, the material refractive index Nd4 and the material Abbe number Vd4 of the fourth lens E4 satisfy: 1.51<Nd4<1.62, 50<Vd4<57, which can ensure good optical performance, further ensure the viewing angle, improve the lens resolution and reduce distortion; Preferably, the material refractive index Nd5 and the material Abbe number Vd5 of the fifth lens E5 satisfy: 1.62<Nd5<1.69, 19<Vd5<21. This design can effectively reduce chromatic aberration, optimize lens aberration, and thus effectively improve the imaging quality of the system; Preferably, the material refractive index Nd6 and the material Abbe number Vd6 of the sixth lens E6 satisfy: 1.51<Nd6<1.62, 50<Vd6<57, which can ensure good optical performance, further ensure the viewing angle, improve the lens resolution and reduce distortion.
[0020] Furthermore, as a preferred embodiment of the present invention but not limitation, the curvature radii R of the object and image sides of the second lens both satisfy: R < 0. By controlling the R values of the object and image sides of the second lens, the field curvature can be effectively corrected and the imaging quality of the system can be improved.
[0021] Further, as a preferred embodiment of the present invention but not a limitation, the total optical length TTL of the optical system satisfies: TTL ≤ 15.1 mm. This design can integrate the entire optical system in a smaller range, which is conducive to the miniaturization of the optical system.
[0022] Further, as a preferred embodiment of the present invention but not limiting, the first lens and the third lens are spherical lenses, and the second lens, the fourth lens, the fifth lens, and the sixth lens are aspherical lenses. This design can improve the performance at high and low temperatures and at room temperature.
[0023] Further, as a preferred embodiment of the present invention but not a limitation, the full field of view FOV of the optical system satisfies: 130°≤FOV, and this design meets the application requirements of customers.
[0024] Furthermore, as a preferred embodiment of the present invention but not limiting, the fourth lens and the fifth lens form a cemented lens. This design increases the difference between the refractive index and the Abbe number of the lens, which can effectively reduce chromatic aberration.
[0025] Further, as a preferred embodiment of the present invention but not a limitation, the F number and FOV of the optical system satisfy: 1.7≤F number≤1.9, and the configuration of a large aperture can increase the amount of light entering the optical system and achieve higher imaging quality.
[0026] Further, as a preferred embodiment of the present invention but not limitation, the aperture of the optical system is located between the fourth lens and the fifth lens. This design effectively improves the aberration of the system.
[0027] Specifically, as a preferred embodiment of the present invention but not limiting, Figure 1-3 As shown, in this embodiment 1, the focal length f1 of the first lens 1 is -4.66mm, the focal length f2 of the second lens 2 is -9.34mm, the focal length f3 of the third lens 3 is 4.57mm, the focal length f4 of the fourth lens 4 is 3.7mm, the focal length f5 of the fifth lens 5 is -4.37mm, the focal length f6 of the sixth lens 6 is 8.59mm, the total optical length TTL is 15mm, and the surface type, curvature radius, thickness and material parameters of each lens are shown in Table 1: Table 1: Basic parameters of the optical system of Example 1
[0028] In Table 1 above, along the optical axis from the object plane to the image plane, OBJ is the object plane; S1 and S2 correspond to the two surfaces of the first lens 1; S3 and S4 correspond to the two surfaces of the second lens 2; S5 and S6 correspond to the two surfaces of the third lens 3; S8 and S9 correspond to the two surfaces of the fourth lens 4; S9 and S10 correspond to the two surfaces of the fifth lens 5; S11 and S12 correspond to the two surfaces of the sixth lens 6; STO is the position of the aperture; S13 and S14 correspond to the two surfaces of the filter; S15 and S16 correspond to the two surfaces of the chip protection glass; IMA corresponds to the image plane.
[0029] Further, in Table 1, the object side surface and the image side surface of any one of the second lens 2, the fourth lens 4, the fifth lens 5 and the sixth lens 6 are aspherical surfaces, and the surface shape of each aspherical lens can be defined by but not limited to the following aspherical surface formula:
[0030] Wherein, x is the distance from the corresponding point on the aspherical surface to the plane tangent to the vertex of the surface, h is the distance from the corresponding point on the aspherical surface to the optical axis, c is the curvature of the vertex of the aspherical surface, k is the cone coefficient, and Ai is the coefficient corresponding to the i-th high-order term in the aspherical surface shape formula. Table 2 shows the cone coefficients and high-order term coefficients A4, A6, A8, A10, A12, A14, A16, A18 and A20 of each aspherical surface that can be used in Example 1.
[0031] Table 2: Aspheric surface related values of the lens surface of Example 1
[0032] Figure 2 The astigmatism and distortion curves of the optical imaging lens of Example 1 are shown, where astigmatism represents the meridional image curvature and the sagittal image curvature, and distortion represents the distortion magnitude values corresponding to different image heights; Figure 3 The MTF curve of the optical imaging lens of Example 1 is shown, which represents the MTF values in the meridian direction and sagittal direction of different fields of view at different spatial frequencies. Figure 2 and Figure 3 It can be seen that the optical imaging system provided in Example 1 can achieve good imaging quality and has higher imaging quality.
[0033] Specifically, as a preferred embodiment of the present invention but not limiting, Figure 4-6 As shown, in this embodiment 2, the focal length f1 of the first lens 1 is -4.46 mm, the focal length f2 of the second lens 2 is -9.46 mm, the focal length f3 of the third lens 3 is 4.69 mm, the focal length f4 of the fourth lens 4 is 3.29 mm, the focal length f5 of the fifth lens 5 is -4.69 mm, the focal length f6 of the sixth lens 6 is 13.24 mm, the total optical length TTL is 15 mm, and the surface type, curvature radius, thickness and material parameters of each lens are shown in Table 3: Table 3: Basic parameters of the optical system of Example 2
[0034] In Table 3 above, along the optical axis from the object plane to the image plane, OBJ is the object plane; S1 and S2 correspond to the two surfaces of the first lens 1; S3 and S4 correspond to the two surfaces of the second lens 2; S5 and S6 correspond to the two surfaces of the third lens 3; S8 and S9 correspond to the two surfaces of the fourth lens 4; S9 and S10 correspond to the two surfaces of the fifth lens 5; S11 and S12 correspond to the two surfaces of the sixth lens 6; STO is the position of the aperture; S13 and S14 correspond to the two surfaces of the filter; S15 and S16 correspond to the two surfaces of the chip protection glass; IMA corresponds to the image plane.
[0035] Further, in Table 3, the object side surface and the image side surface of any one of the second lens 2, the fourth lens 4, the fifth lens 5 and the sixth lens 6 are aspherical surfaces, and the surface shape of each aspherical lens can be defined by but not limited to the following aspherical surface formula:
[0036] Wherein, x is the distance from the corresponding point on the aspherical surface to the plane tangent to the vertex of the surface, h is the distance from the corresponding point on the aspherical surface to the optical axis, c is the curvature of the vertex of the aspherical surface, k is the cone coefficient, and Ai is the coefficient corresponding to the i-th high-order term in the aspherical surface shape formula. Table 4 shows the cone coefficients and high-order term coefficients A4, A6, A8, A10, A12, A14, A16, A18 and A20 of each aspherical surface that can be used in Example 2.
[0037] Table 4: Aspheric surface related values of lens surface in Example 2
[0038] Figure 5 The astigmatism and distortion curves of the optical imaging lens of Example 2 are shown, where astigmatism represents the meridional image curvature and the sagittal image curvature, and distortion represents the distortion magnitude values corresponding to different image heights; Figure 6 The MTF curve of the optical imaging lens of Example 2 is shown, which represents the MTF values in the meridian direction and sagittal direction of different fields of view at different spatial frequencies. Figure 5 and Figure 6 It can be seen that the optical imaging system provided in Example 2 can achieve good imaging quality and has higher imaging quality.
[0039] Specifically, as a preferred embodiment of the present invention but not limiting, Figure 7-9As shown, in this embodiment 3, the focal length f1 of the first lens 1 is -4.44 mm, the focal length f2 of the second lens 2 is -9.30 mm, the focal length f3 of the third lens 3 is 4.57 mm, the focal length f4 of the fourth lens 4 is 3.23 mm, the focal length f5 of the fifth lens 5 is -4.50 mm, the focal length f6 of the sixth lens 6 is 12.97 mm, the total optical length TTL is 15 mm, and the surface type, curvature radius, thickness and material parameters of each lens are shown in Table 5: Table 5: Basic parameters of the optical system of Example 3
[0040] In Table 5 above, along the optical axis from the object plane to the image plane, OBJ is the object plane; S1 and S2 correspond to the two surfaces of the first lens 1; S3 and S4 correspond to the two surfaces of the second lens 2; S5 and S6 correspond to the two surfaces of the third lens 3; S8 and S9 correspond to the two surfaces of the fourth lens 4; S9 and S10 correspond to the two surfaces of the fifth lens 5; S11 and S12 correspond to the two surfaces of the sixth lens 6; STO is the position of the aperture; S13 and S14 correspond to the two surfaces of the filter; S15 and S16 correspond to the two surfaces of the chip protection glass; IMA corresponds to the image plane.
[0041] Further, in Table 5, the object side surface and the image side surface of any one of the second lens 2, the fourth lens 4, the fifth lens 5 and the sixth lens 6 are aspherical surfaces, and the surface shape of each aspherical lens can be defined by but not limited to the following aspherical surface formula:
[0042] Wherein, x is the distance from the corresponding point on the aspheric surface to the plane tangent to the vertex of the surface, h is the distance from the corresponding point on the aspheric surface to the optical axis, c is the curvature of the vertex of the aspheric surface, k is the cone coefficient, and Ai is the coefficient corresponding to the i-th high-order term in the aspheric surface shape formula. Table 6 shows the cone coefficients and high-order term coefficients A4, A6, A8, A10, A12, A14, A16, A18 and A20 of each aspheric surface that can be used in Example 3.
[0043] Table 6: Aspheric surface related values of lens surface in Example 3
[0044] Figure 8 The astigmatism and distortion curves of the optical imaging lens of Example 3 are shown, where astigmatism represents the meridional image curvature and the sagittal image curvature, and distortion represents the distortion magnitude values corresponding to different image heights; Fig. 9 The MTF curve of the optical imaging lens of Example 3 is shown, which represents the MTF values in the meridian direction and sagittal direction of different fields of view at different spatial frequencies. Figure 8 and Fig. 9 It can be seen that the optical imaging system provided in Example 3 can achieve good imaging quality and has higher imaging quality.
[0045] Further, in Examples 1-3, the basic data are as follows: Table 7: Basic data of Examples 1-3
[0046] A camera module at least includes an optical lens, in which the above-mentioned optical system is installed. The camera lens of the embodiment of the present invention is mainly composed of 6 lenses, with a reasonable number of lenses and a simple structure. By reasonably allocating the optical power of the lenses and optimizing the lens aberration, the imaging quality of the optical system is improved, and the characteristics of large aperture, high-definition resolution, excellent temperature characteristics, small size and short total length are taken into account, which has greater competitiveness in the vehicle-mounted or security field.
[0047] As described above, one or more implementation methods are provided in combination with specific contents, and the specific implementation of the present invention is not limited to these descriptions. Any similarity or similarity with the method, structure, etc. of the present invention, or any technical deduction or replacement based on the concept of the present invention, shall be regarded as the protection scope of the present invention.
Claims
1. A large aperture high-definition optical system, which is composed of a first lens, a second lens, a third lens, a fourth lens, a fifth lens, and a sixth lens in sequence from the object plane to the image plane along the optical axis, characterized in that: The object side of the first lens is convex, the image side is concave, and its optical power is negative; The object side of the second lens is concave, the image side is convex, and its optical power is negative; The object side and the image side of the third lens are both convex, and its optical power is positive; The object side and the image side of the fourth lens are both convex, and its optical power is positive; The object side of the fifth lens is concave, the image side is convex or concave, and its optical power is negative; The object side of the sixth lens is convex, the image side is convex or concave, and its optical power is positive; Each lens of the optical system meets the following conditions: -5.50mm<f1<-3.50mm; -10.5mm<f2<-9.0mm; 3.7mm<f3<5.2mm; 2.8mm<f4<3.9mm; -4.7mm<f5<-4.1mm; 7.5mm<f6<15mm; Among them, f1 is the focal length of the first lens, f2 is the focal length of the second lens, f3 is the focal length of the third lens, f4 is the focal length of the fourth lens, f5 is the focal length of the fifth lens, and f6 is the focal length of the sixth lens.
2. The large aperture high definition optical system according to claim 1, characterized in that: The curvature radii R of the object surface and the image surface side of the second lens both satisfy: R < 0.
3. The large aperture high definition optical system according to claim 1, characterized in that: The optical system meets the following conditions: TTL ≤ 15.1mm; Wherein, TTL is the on-axis distance from the object side of the first lens to the imaging surface.
4. The large aperture high definition optical system according to any one of claims 1 to 3, characterized in that: The material refractive index Nd1 and the material Abbe number constant Vd1 of the first lens satisfy: 1.53<Nd1<1.73, 55.00<Vd1<65.00; The material refractive index Nd2 and the material Abbe number constant Vd2 of the second lens satisfy: 1.51<Nd2<1.62, 50<Vd2<57; The material refractive index Nd3 and the material Abbe number constant Vd3 of the third lens satisfy: 1.9<Nd3<2, 25.00<Vd3<37.00; The material refractive index Nd4 and the material Abbe number constant Vd4 of the fourth lens satisfy: 1.51<Nd4<1.62, 50<Vd4<57; The material refractive index Nd5 and the material Abbe number constant Vd5 of the fifth lens satisfy: 1.62<Nd5<1.69, 19<Vd5<21; The material refractive index Nd6 and the material Abbe number constant Vd6 of the sixth lens satisfy: 1.51<Nd6<1.62, 50<Vd6<57.
5. The large aperture high definition optical system according to any one of claims 1 to 3, characterized in that: The first lens and the third lens are spherical lenses, and the second lens, the fourth lens, the fifth lens and the sixth lens are aspherical lenses.
6. The large aperture high definition optical system according to any one of claims 1 to 3, characterized in that: The full field of view FOV of the optical system satisfies: 130°≤FOV.
7. The large aperture high definition optical system according to any one of claims 1 to 3, characterized in that: The fourth lens and the fifth lens form a cemented lens.
8. The large aperture high definition optical system according to any one of claims 1 to 3, characterized in that: The F number of the optical system is: 1.7≤F number≤1.
9.
9. The large aperture high definition optical system according to any one of claims 1 to 3, characterized in that: The aperture stop of the optical system is located between the third lens and the fourth lens.
10. A camera module, comprising at least an optical lens, characterized in that: The optical lens is equipped with a large aperture high-definition optical system as described in any one of claims 1 to 9.
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