Ultra-wide-angle lens and electronic device

Abstract

The ultra-wide-angle lens and the electronic equipment provided by the embodiments of the present specification comprise: a first lens, a second lens, a diaphragm, a third lens, a fourth lens, a fifth lens, a sixth lens and a filter. The refractive power of the first lens to the sixth lens is arranged in negative, positive, positive, negative, positive and negative, so that the first lens to the sixth lens can bear the light incidence angle more evenly and correct the aberration. The diaphragm is arranged between the second lens and the third lens, which can better correct the system coma, thereby ensuring the imaging clarity and the imaging quality. The ultra-wide-angle lens satisfies the following condition formula: 0.15 < D2 / (-f1) < 0.25. The ultra-wide-angle lens is compact in structure, low in distortion and good in imaging quality. The product provided by the present specification has the advantages of large field of view, no distortion and small size.

Description

TECHNICAL FIELD

[0001] The present specification relates to the technical field of optical imaging, and in particular to an ultra-wide-angle lens and an electronic device. BACKGROUND

[0002] Palmprint recognition technology is a new biometric feature recognition technology. Palmprint refers to all lines on the inside of the palm, mainly including wrinkles and main lines. These lines not only contain rich texture and direction information, but also have characteristics such as reliability, stability and uniqueness. Using these unique biological characteristics, palmprint recognition can be achieved. At the same time, "palm payment" is a payment method that is relatively friendly to personal information security, because palmprint is more private than other biometric features. However, the palmprint collected by the existing camera for palmprint payment is prone to distortion, and the imaging quality is poor, which affects the authenticity of the collection result. SUMMARY

[0003] The purpose of the present specification is to provide an ultra-wide-angle lens with a large field of view, no distortion, small volume, and an electronic device.

[0004] To achieve the above purpose, the embodiment of the first aspect of the present specification provides an ultra-wide-angle lens, from the object side to the image side, in turn comprising: a first lens, a second lens, a diaphragm, a third lens, a fourth lens, a fifth lens, a sixth lens, and a filter, the surface of the first lens to the sixth lens towards the object side is the object side surface, and the surface of the first lens to the sixth lens towards the image side is the image side surface;

[0005] The first lens has a negative refractive power, and the first lens is a convex moon-shaped lens with the convex surface towards the object side.

[0006] The second lens has a positive refractive power, and the second lens is a convex moon-shaped lens with the convex surface towards the object side.

[0007] The third lens has a positive refractive power, and the third lens is a double-convex lens.

[0008] The fourth lens has a negative refractive power, and the fourth lens is a double-concave lens.

[0009] The fifth lens has a positive refractive power, and the fifth lens is a double-convex lens.

[0010] The sixth lens has a negative refractive power.

[0011] The ultra-wide-angle lens satisfies the following conditional expression:

[0012] 0.15<D2 / (-f1)<0.25;

[0013] -2.7 < fa / fb < -1.6;

[0014] D2 is an air interval between the first lens and the second lens on the optical axis, f1 is a focal length of the first lens, fa is a combined focal length of the first lens and the second lens, and fb is a combined focal length of the third lens to the sixth lens.

[0015] The super wide-angle lens as described above, wherein the super wide-angle lens further satisfies the following conditional expression: 0.2 < f / TTL < 0.3; 6.5 < (TTL x f) / H < 7.5; f is an overall focal length of the super wide-angle lens, TTL is an optical total length of the super wide-angle lens, and H is an image height.

[0016] The super wide-angle lens as described above, wherein the super wide-angle lens further satisfies the following conditional expression: 0.75 < (R1-R2) / (R1+R2) < 0.9; R1 is a curvature radius of an object side surface of the first lens, and R2 is a curvature radius of an image side surface of the first lens.

[0017] The super wide-angle lens as described above, wherein the super wide-angle lens further satisfies the following conditional expression: -10 < f6 / f < -7; f is an overall focal length of the super wide-angle lens, and f6 is a focal length of the sixth lens.

[0018] The super wide-angle lens as described above, wherein the super wide-angle lens further satisfies the following conditional expression: 2 < (R9-R8) / (R9+R8) < 5; 1 < (R6-R7) / (R6+R7) < 4; R6 is a curvature radius of an object side surface of the third lens, R7 is a curvature radius of an image side surface of the third lens, R8 is a curvature radius of an object side surface of the fourth lens, and R9 is a curvature radius of an image side surface of the fourth lens.

[0019] The super wide-angle lens as described above, wherein the fourth lens is bent toward the object side as a whole.

[0020] The super wide-angle lens as described above, wherein the first lens to the sixth lens are all even aspheric lenses.

[0021] The super wide-angle lens as described above, wherein the aspheres of the first lens to the sixth lens are defined by the following equation of even aspheres: c is a curvature of the lens, r is a distance from any point on the asphere to the optical axis, k is a conic coefficient of the quadratic surface, and ai is a coefficient of the high-order term.

[0022] Compared with the prior art, the above technical solution has the following advantages:

[0023] The super wide-angle lens has good imaging performance in two wave bands of 470nm-650nm (visible light wave band) and 830nm-950nm (near-infrared wave band), the super wide-angle lens can be adapted to a 1 / 2.9 inch sensor at most, thereby increasing the use range of the super wide-angle lens; the maximum field of view angle of the super wide-angle lens is 120°, the optical distortion of the super wide-angle lens is less than ±3% in the field of view range, the TV distortion is less than 1%, and the edge relative luminance is greater than 25%, thereby enabling the lens to better capture the required feature information; the maximum chief ray angle (CAR) of the super wide-angle lens is not more than 20°, and the total optical length is less than 7.6mm, thereby making the lens structure compact and small in size; the super wide-angle lens also has the working characteristic of large depth of field, the near depth of field of the super wide-angle lens is 6.7cm and the far depth of field is 19.6cm corresponding to the 10cm focusing, and the super wide-angle lens also has the function of aperture adjustment, the depth of field range can be further adjusted and increased according to the actual working requirement, thereby enabling the super wide-angle lens to better adapt to different groups of people and application scenarios.

[0024] The embodiment of the second aspect of the present specification provides an electronic device comprising the super wide-angle lens described above.

[0025] Compared with the prior art, the technical scheme has the following advantages:

[0026] The field of view angle of the electronic device is large, the collected image is not distorted, the imaging quality is good, and the electronic device can have good imaging performance in different wave bands, thereby increasing the use range of the product. BRIEF DESCRIPTION OF DRAWINGS

[0027] The following drawings are only intended to schematically illustrate and explain the present specification, and do not limit the scope of the present specification. Among them:

[0028] Figure 1 is a structural schematic diagram of the super wide-angle lens described in the present specification;

[0029] Figure 2 is a MTF performance schematic diagram of the first embodiment of the super wide-angle lens described in the present specification when working in the visible light wave band;

[0030] Figure 3 is a MTF performance schematic diagram of the first embodiment of the super wide-angle lens described in the present specification when working in the near-infrared wave band;

[0031] Figure 4 is a field curvature and distortion schematic diagram of the first embodiment of the super wide-angle lens described in the present specification when working in the visible light wave band;

[0032] Figure 5 is a field curvature and distortion schematic diagram of the first embodiment of the super wide-angle lens described in the present specification when working in the near-infrared wave band;

[0033] Figure 6 is a schematic diagram of the axial chromatic aberration of the first embodiment of the super wide-angle mirror described in the present specification when it works in the visible light band;

[0034] Figure 7 is a schematic diagram of the axial chromatic aberration of the second embodiment of the super wide-angle mirror described in the present specification when it works in the near-infrared band;

[0035] Figure 8 is a schematic diagram of the MTF performance of the second embodiment of the super wide-angle mirror described in the present specification when it works in the visible light band;

[0036] Figure 9 is a schematic diagram of the MTF performance of the second embodiment of the super wide-angle mirror described in the present specification when it works in the near-infrared band;

[0037] Figure 10 is a schematic diagram of the field curvature and distortion of the second embodiment of the super wide-angle mirror described in the present specification when it works in the visible light band;

[0038] Figure 11 is a schematic diagram of the field curvature and distortion of the second embodiment of the super wide-angle mirror described in the present specification when it works in the near-infrared band;

[0039] Figure 12 is a schematic diagram of the axial chromatic aberration of the second embodiment of the super wide-angle mirror described in the present specification when it works in the visible light band;

[0040] Figure 13 is a schematic diagram of the axial chromatic aberration of the second embodiment of the super wide-angle mirror described in the present specification when it works in the near-infrared band.

[0041] BRIEF DESCRIPTION OF DRAWINGS

[0042] 10, first lens; 20, second lens; 30, diaphragm; 40, third lens; 50, fourth lens; 60, fifth lens; 70, sixth lens; 80, filter; 90, image plane. DETAILED DESCRIPTION

[0043] The present specification will be further explained with reference to the accompanying drawings and examples. The characteristics and advantages of the present specification will become more apparent by these explanations.

[0044] The term "exemplary" is used herein to mean "serving as an example, instance, or illustration." Any implementation described herein as "exemplary" is not necessarily to be construed as preferred or advantageous over other implementations. Unless specifically stated otherwise, the drawings are not drawn to scale and the depiction of certain items in the drawings is intentionally exaggerated to improve the overall clarity and ease of understanding of the drawings.

[0045] Furthermore, the technical features described in the different embodiments of this specification below can be combined with each other as long as they do not conflict with each other. The following discussion provides multiple embodiments of this specification. Although each embodiment represents a single combination of the applications, different embodiments of this specification can be substituted or combined; therefore, this specification can also be considered to include all possible combinations of the same and / or different embodiments described. Thus, if one embodiment includes A, B, and C, and another embodiment includes a combination of B and D, then this specification should also be considered to include embodiments containing one or more other all other possible combinations of A, B, C, and D, even if such embodiments are not explicitly described in the following text. Furthermore, the technical features described in the different embodiments of this specification below can be combined with each other as long as they do not conflict with each other.

[0046] like Figure 1 As shown, the ultra-wide-angle lens provided in the first aspect of this specification, from the object side to the image side, sequentially includes: a first lens 10, a second lens 20, an aperture stop 30, a third lens 40, a fourth lens 50, a fifth lens 60, a sixth lens 70, and a filter 80. The aperture stop 30 is positioned between the second lens 20 and the third lens 40, which can effectively correct system coma, thereby ensuring image sharpness and image quality.

[0047] The object-side surface of the first lens 10 to the sixth lens 70 is called the object-side surface, and the image-side surface of the first lens 10 to the sixth lens 70 is called the image-side surface.

[0048] The first lens 10 has negative refractive power and is a meniscus lens with its convex surface facing the object side.

[0049] The second lens 20 has positive refractive power and is a meniscus lens with its convex surface facing the object side.

[0050] The third lens 40 has positive refractive power and is a biconvex lens.

[0051] The fourth lens 50 has negative refractive power and is a biconcave lens.

[0052] The fifth lens 60 has positive refractive power and is a biconvex lens.

[0053] The sixth lens 70 has negative refractive power. While correcting aberrations, the principal beam angle can be adjusted to better match the sensor.

[0054] The refractive forces of the first lens 10 to the sixth lens 70 are arranged in the order of negative, positive, positive, negative, positive, negative, which allows the first lens 10 to the sixth lens 70 to bear the incident angle of light more evenly and correct the aberration.

[0055] The ultra-wide-angle lens satisfies the following conditional expression:

[0056] 0.15 < D2 / (-f1) < 0.25.

[0057] D2 is the air gap between the first lens 10 and the second lens 20 on the optical axis, and f1 is the focal length of the first lens 10.

[0058] When D2 / (-f1) is greater than or equal to 0.25, the negative distortion of the ultra-wide-angle lens is difficult to correct; when D2 / (-f1) is less than or equal to 0.15, the distance between the first lens 10 and the second lens 20 is too close, resulting in excessive field curvature of the ultra-wide-angle lens, and the image plane 90 is curved; therefore, D2 / (-f1) is between 0.15 and 0.25, making the ultra-wide-angle lens compact, low-distortion, and having good imaging quality.

[0059] The ultra-wide-angle lens provided in the specification has good imaging performance in two wavebands of 470nm-650nm and 830nm-950nm, and the maximum sensor that can be adapted by the ultra-wide-angle lens is 1 / 2.9 inches, thereby increasing the use range of the ultra-wide-angle lens; the maximum field angle of the ultra-wide-angle lens is 120°, the optical distortion of the ultra-wide-angle lens in the field range is less than ±3%, the TV distortion is less than 1%, and the edge relative luminance is greater than 25%, thereby enabling the lens to better capture the required feature information; the main light angle of the ultra-wide-angle lens is not more than 20°, and the total optical length is less than 7.6mm, thereby making the lens structure compact and small in size; the ultra-wide-angle lens also has the working characteristic of large depth of field, corresponding to the 10cm focusing distance, the near depth of field of the ultra-wide-angle lens is 6.7cm, the far depth of field is 19.6cm, and the ultra-wide-angle lens also has the function of adjustable aperture, and the depth of field range can be further adjusted and increased according to the actual working requirements, thereby enabling the lens to better adapt to different groups of people and application scenarios.

[0060] In an embodiment of the specification, the ultra-wide-angle lens also satisfies the following conditional expression:

[0061] 0.2 < f / TTL < 0.3, and 6.5 < (TTLxf) / H < 7.5.

[0062] f is the overall focal length of the ultra-wide-angle lens, TTL is the total optical length of the ultra-wide-angle lens, and H is the image height.

[0063] The above conditions make the design difficulty of the ultra-wide-angle lens within a reasonable range, the tolerance of the ultra-wide-angle lens can be guaranteed, which is conducive to subsequent processing and assembly, and the overall lens structure is compact.

[0064] In an embodiment of the specification, the ultra-wide-angle lens also satisfies the following conditional expression:

[0065] 0.75 < (R1-R2) / (R1+R2) < 0.9.

[0066] R1 is the curvature radius of the object side surface of the first lens 10, and R2 is the curvature radius of the image side surface of the first lens 10.

[0067] When the value of (R1-R2) / (R1+R2) is not in the above range, the spherical aberration correction of the super wide-angle lens is not ideal, the residual spherical aberration is too large, and excellent optical performance cannot be obtained. Therefore, the value of (R1-R2) / (R1+R2) is in the above range, which ensures that the super wide-angle lens has good imaging quality.

[0068] In an embodiment of the present specification, the super wide-angle lens also satisfies the following conditional expression:

[0069] -2.7 < fa / fb < -1.6.

[0070] fa is the combined focal length of the first lens 10 and the second lens 20, and fb is the combined focal length of the third lens 40 to the sixth lens 70.

[0071] The above condition can ensure that the focal length of the lens on both sides of the stop 30 is reasonable, and can better correct astigmatism, coma, and lateral chromatic aberration, thereby ensuring the clarity of the image and the quality of the image.

[0072] In an embodiment of the present specification, the super wide-angle lens also satisfies the following conditional expression:

[0073] -10 < f6 / f < -7.

[0074] f is the overall focal length of the super wide-angle lens, and f6 is the focal length of the sixth lens 70.

[0075] The above condition enables better correction of off-axis aberrations of the super wide-angle lens, especially the astigmatism part, to ensure that the super wide-angle lens also has excellent imaging performance at a large field angle, thereby ensuring that the super wide-angle lens has good imaging quality.

[0076] In an embodiment of the present specification, the super wide-angle lens also satisfies the following conditional expression:

[0077] 2 < (R9-R8) / (R9+R8) < 5, and 1 < (R6-R7) / (R6+R7) < 4.

[0078] R6 is the curvature radius of the object side surface of the third lens 40, R7 is the curvature radius of the image side surface of the third lens 40, R8 is the curvature radius of the object side surface of the fourth lens 50, and R9 is the curvature radius of the image side surface of the fourth lens 50.

[0079] The conditional expression is a supplement to the shape condition of the lens. On the basis of satisfying the conditional expression, the preferred range of the near-axis curvature radius of each lens is specified, which is beneficial to balancing the overall aberration of the system and making the system have excellent imaging effect, so as to ensure that the super wide-angle lens has good imaging quality.

[0080] In one embodiment of the present specification, the fourth lens 50 is bent as a whole to the object side.

[0081] The above structure can correct the field curvature and astigmatism of the super wide-angle lens, so that the super wide-angle lens has excellent imaging effect and good imaging quality.

[0082] In one embodiment of the present specification, the first lens 10 to the sixth lens 70 are all even aspheric lenses. Specifically, the aspheres of the first lens 10 to the sixth lens 70 are defined by the following equation of even asphere:

[0083]

[0084] c is the curvature of the lens, r is the distance from any point on the asphere to the optical axis, k is the conic coefficient of the quadratic surface, ai is the coefficient of the high-order term,

[0085] The above structure can make the lens have more optimization variables to correct aberration, improve thermal stability, reduce the number of lenses used, and effectively reduce the volume and cost of the present application.

[0086] By the above configuration of the lens, and by setting the ratio of the effective focal length of each lens to the effective focal length of the lens, the overall performance of the lens is optimized by controlling the curvature, thickness, spacing of the lenses, aspheric coefficients, and selection of lens materials, so that the super wide-angle lens can simultaneously exhibit excellent performance in two wide wavelength bands of visible light and near-infrared.

[0087] The purpose of the technical solution and the points of the present application will be made clearer by combining specific embodiments and the accompanying drawings.

[0088] The meanings of the labels shown in the tables and descriptions are as follows.

[0089] S1, S3, S6, S8, S10, S12, S14 are respectively the numbers of the object side of the first lens 10 to the sixth lens 70 and the filter 80, S2, S4, S7, S9, S11, S13, S15 are respectively the numbers of the image side of the first lens 10 to the sixth lens 70 and the filter 80, and S5 is the number of the diaphragm 30.

[0090] In addition, in each table showing the conic constant and aspheric coefficient shown below, the numerical expression is expressed by using the exponential expression with 10 as the base. For example, "0.12E-05" means "0.12x10-5 ”, “9.87E+03” means “9.87×10 3 ”.

[0091] Embodiment One

[0092] Figures 2-7 Performance curves of Embodiment One in different wavebands.

[0093] The relevant parameters of each surface of the first lens to the sixth lens are shown in Table 1 and Table 2. The unit of focal length, on-axis interval, radius of curvature, and on-axis thickness is mm.

[0094] Table 1

[0095]

[0096] Wherein the thickness represents the distance from one surface to the next surface along the optical axis.

[0097] The aspheric coefficients of each surface of each lens in the super wide-angle lens are shown in Table 2.

[0098] Table 2

[0099]

[0100] The numerical values corresponding to each condition formula of the present embodiment are shown in the following table. Obviously, the present embodiment meets all the requirements of the above condition formulas.

[0101] Table 3

[0102]

[0103] Figure 2 and Figure 3 respectively represent the MTF performance of the lens in the visible light waveband and the near-infrared waveband in Embodiment One; wherein the MTF values (vertical coordinates) at different half image heights (horizontal coordinates) are shown in the figures. It can be seen from the figures that the overall curve values are relatively high, and the curve values decrease smoothly with the increase of the half image height, indicating that the MTF of each field of view of the lens in the embodiment is good.

[0104] Figure 4 and Figure 5 respectively represent the field curvature and distortion of the lens in the visible light waveband and the near-infrared waveband in Embodiment One. The left side represents the field curvature amount, and the right side represents the distortion. In the distortion figure, the horizontal coordinate represents the percentage of the distortion value, and the vertical coordinate represents the half field angle. It can be seen that the optical distortion is lower than ±3%, the TV distortion is lower than 1%, and the lens has good low distortion effect.

[0105] Figure 6 and Figure 7respectively represent the axial chromatic aberration of the lens in Example 1 when working in the visible light band and the near-infrared band, respectively. It can be seen that the maximum axial chromatic aberration in the two bands is less than 3 um.

[0106] Example 2

[0107] Figures 8-13 Performance curves of Example 2 when working in different bands.

[0108] The relevant parameters of each surface of the first lens to the sixth lens are shown in Tables 4 and 5. The unit of focal length, on-axis interval, radius of curvature, and on-axis thickness is mm.

[0109] Table 4

[0110]

[0111] The aspheric coefficients of each surface of each lens in the super-wide-angle lens are shown in Table 5.

[0112] Table 5

[0113]

[0114] The numerical values of the conditions corresponding to each embodiment are shown in the following table. Obviously, the embodiment meets all the requirements of the above conditions.

[0115] Table 6

[0116]

[0117] Figure 8 and Figure 9 respectively represent the MTF performance of the lens in Example 2 when working in the visible light band and the near-infrared band; wherein the MTF values (vertical coordinates) at different half image heights (horizontal coordinates), it can be seen from the figure that the overall curve value is relatively high, and the curve value decreases smoothly with the increase of the half image height, indicating that the MTF of each field of view of the lens in this embodiment is good.

[0118] Figure 10 and Figure 11 respectively represent the field curvature and distortion of the lens in Example 2 when working in the visible light band and the near-infrared band, respectively. The left side represents the field curvature, and the right side represents the distortion. In the distortion graph, the horizontal coordinate represents the percentage of the distortion value, and the vertical coordinate represents the half field angle; it can be seen that the optical distortion is less than ±3%, the TV distortion is less than 1%, and it has good low-distortion effect.

[0119] Figure 12 and Figure 13 respectively represent the axial chromatic aberration of the lens in Example 2 when working in the visible light band and the near-infrared band, respectively. It can be seen that the maximum axial chromatic aberration in the two bands is less than 3 um.

[0120] The electronic device provided by the embodiment of the second aspect of the present specification comprises the ultra-wide-angle lens.

[0121] The electronic device provided by the present specification has a large field of view, the collected image is not distorted, the imaging quality is good, and the imaging performance in different wave bands is good, thereby increasing the use range of the product.

[0122] In the description of the present specification, it should be noted that the terms "first", "second", "third", "fourth", "fifth", "sixth" are only for the purpose of description, and cannot be understood as indicating or implying relative importance. The above describes the present specification in combination with the preferred embodiments, but these embodiments are only exemplary and serve only to illustrate. On this basis, various substitutions and improvements can be made to the present specification, and these all fall within the protection scope of the present specification.

Claims

1. An ultra-wide-angle lens, characterized in that, The ultra-wide-angle lens is a six-element lens. From the object side to the image side, the ultra-wide-angle lens includes, in sequence along the optical axis: a first lens, a second lens, an aperture stop, a third lens, a fourth lens, a fifth lens, a sixth lens, and a filter. The surfaces of the first lens to the sixth lens facing the object side are called the object-side surfaces, and the surfaces of the first lens to the sixth lens facing the image side are called the image-side surfaces. The first lens has negative refractive power and is a meniscus lens with its convex surface facing the object side. The second lens has positive refractive power and is a meniscus lens with its convex surface facing the object side; The third lens has positive refractive power and is a biconvex lens; The fourth lens has negative refractive power and is a biconcave lens. The fifth lens has positive refractive power and is a biconvex lens; The sixth lens has negative refractive power; The ultra-wide-angle lens satisfies the following condition: 0.15 <D2 / (-f1)<0.25,-2.7<fa / fb<-1.6; D2 is the air gap between the first and second lenses on the optical axis, f1 is the focal length of the first lens, fa is the combined focal length of the first and second lenses, and fb is the combined focal length of the third to sixth lenses.

2. The ultra-wide-angle lens according to claim 1, characterized in that, The ultra-wide-angle lens also satisfies the following condition: 0.2 <f / TTL<0.3;6.5<(TTL×f) / H<7.5; f is the overall focal length of the ultra-wide-angle lens, TTL is the total optical length of the ultra-wide-angle lens, and H is the image height.

3. The ultra-wide-angle lens according to claim 1, characterized in that, The ultra-wide-angle lens also satisfies the following condition: 0.75 < (R1-R2) / (R1+R2) < 0.9; R1 is the radius of curvature of the object side of the first lens, and R2 is the radius of curvature of the image side of the first lens.

4. The ultra-wide-angle lens according to claim 1, characterized in that, The ultra-wide-angle lens also satisfies the following condition: -10 <f6 / f<-7; f is the overall focal length of the ultra-wide-angle lens, and f6 is the focal length of the sixth lens.

5. The ultra-wide-angle lens according to claim 1, characterized in that, The ultra-wide-angle lens also satisfies the following condition: 2<(R9-R8) / (R9+R8)<5; 1<(R6-R7) / (R6+R7)<4; R6 is the radius of curvature of the object side of the third lens, R7 is the radius of curvature of the image side of the third lens, R8 is the radius of curvature of the object side of the fourth lens, and R9 is the radius of curvature of the image side of the fourth lens.

6. The ultra-wide-angle lens according to claim 1, characterized in that, The fourth lens is bent towards the object side.

7. The ultra-wide-angle lens according to claim 1, characterized in that, The first lens to the sixth lens are all even-order aspherical lenses.

8. The ultra-wide-angle lens according to claim 7, characterized in that, The aspherical surfaces of the first lens through the sixth lens are all defined by the following equations for even-order aspherical surfaces: ； c is the curvature of the lens, r is the distance from any point on the aspherical surface to the optical axis, k is the conic coefficient of the quadratic surface, and ai is the coefficient of higher-order terms.

9. An electronic device, characterized in that, Including the ultra-wide-angle lens as described in any one of claims 1-8.

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