A small-distortion large-view-field high-definition lens based on a q-type aspheric surface

Abstract

The application discloses a small-distortion large-view-field high-definition lens based on Q- TYPE aspheric surface, which comprises first lens elements, second lens elements,..., tenth lens elements and an aperture diaphragm arranged in sequence from left to right, the aperture diaphragm is arranged between the fifth lens element and the sixth lens element, two aspheric surfaces are adopted in total, and the front surface of the first lens element and the front surface of the tenth lens element are both Q- type aspheric surfaces. The application applies the novel Q- type aspheric surface to the design of the wide-angle lens, reduces the weight and processing cost of the lens, realizes small distortion, a large aperture and high pixels, strictly limits the structural parameters of the lens elements, finally realizes the size requirements of a long back intercept, a short total length of the system and a small first surface lens, so as to meet the assembly requirements, improves the processing and detection precision to a certain extent due to the excellent characteristics of the Q- type, and improves the optimization efficiency.

Description

Technical Field

[0001] This invention relates to the field of optical imaging technology, and in particular to a high-definition lens with small distortion and large field of view based on a Q-TYPE aspherical surface. Background Technology

[0002] Currently, optical imaging technology is widely used in various fields. In some specific areas, wide-angle lenses are used to increase the field of view. An increased field of view inevitably introduces greater image distortion. To achieve minimal image distortion, multiple lenses or aspherical elements are often required. For example, the wide-angle lens in Chinese patent application number 201320761035.8 uses eight aspherical elements and is made of plastic to reduce manufacturing costs and difficulty. The wide-angle lens element in US patent number US4116536 uses 13 lens elements to reduce distortion to within 2.5%. Simultaneously, the development of imaging detector technology has greatly improved detector resolution and pixel count, which also places demands on the imaging quality of optical systems. The image quality, field of view, and image distortion of a lens determine the quality and design difficulty of a wide-angle lens, becoming important considerations in its design. Furthermore, specific packaging requirements for certain lens products impose strict constraints on their size and structure. For lenses with the same optical specifications, a relatively short overall optical length, a longer back focal length, and a smaller lens diameter are crucial for minimizing lens space and accommodating filter devices or folding mirrors. Additionally, using even-order aspherical surfaces often results in excessively small aspherical coefficients, leading to truncation errors in the computer's digital system during optimization. Moreover, the terms of even-order polynomials are not orthogonal, causing redundant interference and accuracy loss during optimization calculations, resulting in lower optimization efficiency. Summary of the Invention

[0003] The purpose of this invention is to provide a high-definition lens with small distortion and large field of view based on Q-TYPE aspherical lens, which can achieve a large aperture, small distortion and meet the high imaging quality of 2048×2048 pixels. At the same time, it has a long back focal length and a small total optical length and first lens diameter.

[0004] The technical solution adopted in this invention is as follows:

[0005] A high-definition lens with small distortion and large field of view based on Q-TYPE aspherical surface includes a first lens element, a second lens element, ... a ninth lens element, a tenth lens element arranged from left to right, and an aperture stop. The aperture stop is located between the fifth lens element and the sixth lens element. It uses two aspherical surfaces. The front surface of the first lens element and the front surface of the tenth lens element are both Q-type aspherical surfaces.

[0006] The first, second, and third lens elements are meniscus lens elements with negative optical power and convex towards the object side; the fourth lens element is a meniscus lens element with positive optical power and convex towards the object side.

[0007] The fifth lens element is a biconvex lens element with positive optical power;

[0008] The sixth, seventh, and eighth lens elements are cemented together to form a cemented lens element with positive optical power. The sixth lens element is a positive optical power lens element and is slightly convex toward the image plane. The seventh lens element is a negative optical power biconcave lens element, and the eighth lens element is a positive optical power biconvex lens element.

[0009] The ninth lens element is an approximately plano-convex lens element with positive optical power, and is convex towards the object side;

[0010] The tenth lens element is a meniscus lens element with negative optical power and convex to the image side.

[0011] The expression for the elevation z relative to the radius r of the Q-type aspherical surface is as follows:

[0012]

[0013] Where u = r / r max r max Let c be the maximum light-transmitting half-aperture of the surface, c be the paraxial curvature, k be the quadratic coefficient, and D be the maximum light-transmitting half-aperture of the surface. con (u) is a series of orthonormalized Jacobi polynomials, expressed as:

[0014]

[0015] Where u = r / rmax, rmax is the maximum light-transmitting half-aperture of the surface, c is the paraxial curvature, k is the quadratic coefficient, and D(u) is a series of unit orthogonal Jacobi polynomials. D has two forms: weak Q-type polynomial (Qbfs) and strong Q-type polynomial (Qcon).

[0016] in:

[0017] The expression for a weak Q-type polynomial is:

[0018]

[0019] Compared to even-degree polynomials, Qbfs uses a set of orthogonal sets. This replaces the traditional power-law expression, where am represents the coefficients of each order of the polynomial, m represents the degree of the Jacobi polynomial, and M represents the largest degree of the polynomial used. Let m be the m-th polynomial. The first six terms can be represented in the following form:

[0020]

[0021] The expression for a strong Q-type polynomial is:

[0022]

[0023] Compared to even-degree polynomials, Qcon uses a set of orthogonal sets. This replaces the traditional power-law expression, where am represents the coefficients of each order of the polynomial, m represents the degree of the Jacobi polynomial, and M represents the largest degree of the polynomial used. Let m be the m-th polynomial. The first six terms can be represented in the following form:

[0024]

[0025] The field of view of the low-distortion high-definition wide-angle lens meets the requirement of 2ω = 80°~110°.

[0026] The ratio of the back crop (BF) to the focal length (f') of a low-distortion high-definition wide-angle lens satisfies 0.8 ≤ BF / f' ≤ 1.2.

[0027] The ratio of the effective aperture D1 of the first surface of a low-distortion high-definition wide-angle lens to the focal length is 2.5≤D1 / f'≤3.

[0028] The ratio of the total system length (TTL) to the effective focal length (f') of a low-distortion high-definition wide-angle lens satisfies 4 ≤ TTL / f' ≤ 6.

[0029] This invention applies a novel Q-type aspherical lens to the design of wide-angle lenses, achieving low distortion, large aperture, and high pixel count while reducing lens weight and manufacturing costs. Simultaneously, it strictly limits the lens element structural parameters, ultimately achieving the required dimensions of a longer back focal length, shorter overall system length, and smaller front lens element to meet assembly requirements. Furthermore, the superior characteristics of the Q-type lens improve manufacturing and inspection accuracy and enhance optimization efficiency to a certain extent. Attached Figure Description

[0030] To more clearly illustrate the technical solutions in the embodiments of the present invention or the prior art, the drawings used in the description of the embodiments or the prior art will be briefly introduced below. Obviously, the drawings described below are only some embodiments of the present invention. For those skilled in the art, other drawings can be obtained based on these drawings without creative effort.

[0031] Figure 1 This is a schematic diagram of the structure of the present invention;

[0032] Figure 2 This is the color difference curve diagram of the present invention;

[0033] Figure 3 This is an astigmatic curve diagram of the present invention;

[0034] Figure 4 This is a distortion curve diagram of the present invention;

[0035] Figure 5 This is a graph of the optical transfer function (MTF) of the present invention. Detailed Implementation

[0036] The technical solutions of the embodiments of the present invention will be clearly and completely described below with reference to the accompanying drawings. Obviously, the described embodiments are only some embodiments of the present invention, and not all embodiments. Based on the embodiments of the present invention, all other embodiments obtained by those skilled in the art without creative effort are within the scope of protection of the present invention.

[0037] like Figure 1 As shown, the present invention includes, from left to right, a first lens element 1, a second lens element 2, a third lens element 3, a fourth lens element 4, a fifth lens element 5, a sixth lens element 6, a seventh lens element 7, an eighth lens element 8, a ninth lens element 9, a tenth lens element 10, and an aperture stop STO. The aperture stop STO is positioned between the fifth lens element 5 and the sixth lens element 6, employing two aspherical surfaces. The front surfaces of both the first lens element and the tenth lens element 10 are Q-type aspherical surfaces. Aspherical optical lenses are more difficult to manufacture and more expensive than spherical lenses; using fewer aspherical lenses reduces lens costs.

[0038] The first lens element 1, the second lens element 2, and the third lens element 3 are meniscus lens elements with negative optical power and convex towards the object; the fourth lens element 4 is a meniscus lens element with positive optical power and convex towards the object.

[0039] The fifth lens element 5 is a biconvex lens element with positive optical power;

[0040] The sixth lens element 6, the seventh lens element 7, and the eighth lens element 8 are cemented together to form a cemented lens element with positive optical power. The sixth lens element 6 is a positive optical power lens element and is slightly convex toward the image plane. The seventh lens element 7 is a negative optical power biconcave lens element, and the eighth lens element 8 is a positive optical power biconvex lens element.

[0041] The ninth lens element 9 is an approximately plano-convex lens element with positive optical power and convex towards the object side;

[0042] The tenth lens element 10 is a meniscus lens element with negative optical power and is convex to the image side;

[0043] The expression for the elevation z relative to the radius r of the Q-type aspherical surface is as follows:

[0044]

[0045] Where u = r / r max r max Let c be the maximum light-transmitting half-aperture of the surface, c be the paraxial curvature, k be the quadratic coefficient, and D be the maximum light-transmitting half-aperture of the surface. con (u) is a series of orthonormalized Jacobi polynomials, expressed as:

[0046]

[0047] Where u = r / rmax, rmax is the maximum light-transmitting half-aperture of the surface, c is the paraxial curvature, k is the quadratic coefficient, and D(u) is a series of unit orthogonal Jacobi polynomials. D has two forms: weak Q-type polynomial (Qbfs) and strong Q-type polynomial (Qcon).

[0048] in:

[0049] The expression for a weak Q-type polynomial is:

[0050]

[0051] Compared to even-degree polynomials, Qbfs uses a set of orthogonal sets. This replaces the traditional power-law expression, where am represents the coefficients of each order of the polynomial, m represents the degree of the Jacobi polynomial, and M represents the largest degree of the polynomial used. Let m be the m-th polynomial. The first six terms can be represented in the following form:

[0052]

[0053]

[0054] The expression for a strong Q-type polynomial is:

[0055]

[0056] Compared to even-degree polynomials, Qcon uses a set of orthogonal sets. This replaces the traditional power-law expression, where am represents the coefficients of each order of the polynomial, m represents the degree of the Jacobi polynomial, and M represents the largest degree of the polynomial used. Let m be the m-th polynomial. The first six terms can be represented in the following form:

[0057]

[0058] The field of view range of the low-distortion high-definition wide-angle lens meets the requirement of 2ω = 80° to 110°. The input conditions designed in this application embodiment are subject to the above constraints; furthermore, if there are other design requirements, for example, when it is necessary to design a 110° (±55°) lens, the subsequent design process can be constrained by using the requirement that the imaging quality of all field of view angles between -55° and +55° meets the requirements as input.

[0059] The ratio of the back crop (BF) to the focal length (f') of a low-distortion high-definition wide-angle lens satisfies 0.8 ≤ BF / f' ≤ 1.2.

[0060] The ratio of the effective aperture D1 of the first surface of a low-distortion high-definition wide-angle lens to its focal length is 2.5 ≤ D1 / f' ≤ 3. The ratio of the total system length TTL to the effective focal length f' of the low-distortion high-definition wide-angle lens satisfies 4 ≤ TTL / f' ≤ 6.

[0061] The following specific embodiments further explain how this application is designed. These embodiments are applied to a wide-angle lens system with a field of view of 92°, an image pixel count of 2048×2048, and a pixel size of 12μm. The actual system consists of a front group with negative optical power and a rear group with positive optical power. The front group contains four lens elements (first lens element 1, second lens element 2, third lens element 3, and fourth lens element 4), and the rear group contains six lens elements (fifth lens element 5, sixth lens element 6, seventh lens element 7, eighth lens element 8, ninth lens element 9, and tenth lens element 10). Three of these lens elements (sixth lens element 6, seventh lens element 7, and eighth lens element 8) are cemented together to form a cemented lens element with positive optical power. The aperture stop is placed behind the first lens element of the rear group (i.e., the fifth lens element of the entire lens).

[0062] In the initial design phase, the front and rear lens groups must be individually corrected for chromatic aberration. This ensures that after splicing, both the front and rear groups can simultaneously correct for positional and magnification chromatic aberration. The design requirements are first met by gradually increasing the field of view and gradually decreasing the overall length, while continuously optimizing the system's curvature, lens element spacing, and thickness as variables. If necessary, lens elements can be added by splitting them, or removed by gradually decreasing their optical power and thickness. The system incorporates a triple-glued structure through optimization of surface curvature, lens element spacing, and thickness. Due to the unique manufacturing process of the triple-glued structure, the design employs a near-symmetrical triple-glued structure to avoid uneven stress distribution.

[0063] After the field of view and total length meet the requirements, it is easy to foresee that the system distortion will become larger, with the maximum distortion across the entire field of view exceeding 20%. To meet the specifications while ensuring image quality, aspherical surfaces need to be introduced to correct the distortion. To use as few aspherical surfaces as possible, a method of gradually increasing the number and order of aspherical surfaces is adopted. Through continuous optimization, it was finally determined that two aspherical surfaces would be used, with each aspherical surface having a maximum of three aspherical coefficients. Then, using the "find optimal aspherical surface position" function in the optical design software, it was finally determined that the front surfaces of both the first and tenth lens elements would be set as aspherical surfaces.

[0064] Here, a strong Q-type aspherical surface as described above is used, and distortion is constrained throughout the optimization process. Since the initial distortion is too large, it needs to be gradually reduced by constraining the distortion little by little to ensure that other optimization objectives are not severely compromised. Finally, by continuously changing the number of optimization operations and weights, the design objective is achieved.

[0065] The embodiments of the present invention will be described in detail below with reference to the accompanying drawings.

[0066] In practical implementation, to ensure that the incident angle of the image plane is not too large, this invention adopts a reverse telephoto structure, that is, the front group has negative optical power and the rear group has positive optical power. For the front group, the first lens element 1, the second lens element 2, and the third lens element 3 are all meniscus lens elements with negative optical power to ensure that the front group has negative optical power, while also expanding the field of view. Using three lens elements with negative optical power can ensure that the optical power borne by each lens element is not too large, reduce the degree of curvature, and reduce higher-order aberrations.

[0067] The first lens element 1 has a large thickness and aperture, and uses a low dispersion material (n1 = 1.52, v1 = 64.2), which can reduce the introduction of advanced chromatic aberration;

[0068] n1 represents the refractive index of the first type of material, which is an inherent optical parameter of a certain type of optical glass material.

[0069] V1 represents the Abbe number of the first type of material, which is an inherent optical parameter of a certain type of optical glass material.

[0070] The following information refers to the refractive index and Abbe number of different materials.

[0071] The second lens element 2 is made of a high refractive index material (n2 = 1.74, v2 = 44.9), which helps the light to diverge quickly, resulting in a relatively small incident angle of light in the rear group.

[0072] The third lens element 3, made of a material with a lower refractive index and lower dispersion (n3 = 1.62, v3 = 58.2), is used in conjunction with the fourth lens element 4, which is located close to it, to correct the positional chromatic aberration in the previous group. (In the negative group, the negative lens element uses low-dispersion glass, and the positive lens element uses high-dispersion glass, which helps to correct the positional chromatic aberration.)

[0073] The fourth lens element 4 is a meniscus lens element with positive optical power. Its convex surface is convex to the object surface and close to the third lens element 3. At the same time, it uses high refractive index material and high dispersion material (n4=1.76, v4=27.5) to achieve the purpose of balancing the chromatic aberration of the front group.

[0074] The rear group consists of two positive single-lens elements, one positive cemented lens element, and one negative lens element, with the optical power allocated appropriately to ensure that the total optical power is positive.

[0075] The fifth lens element 5 is a biconvex lens element with positive optical power, undertaking part of the optical power of the rear group. On the one hand, it helps the diverging rays emitted from the front group to converge quickly; on the other hand, it also satisfies the principle of minimum deviation angle. At the same time, the fifth lens element 5 plays a role in balancing the higher-order spherical aberration of the system. The refractive index of the fifth lens element 5 is n5 = 1.66, and the Abbe constant is v5 = 50.9. The relatively high refractive index helps to reduce the curvature of the lens element, while the low dispersion does not introduce a large amount of chromatic aberration.

[0076] The sixth lens element 6, the seventh lens element 7, and the eighth lens element 8 are cemented together. This process helps correct chromatic aberration in the subsequent lens group. Furthermore, the eighth lens element 8, being a biconvex lens, is significant in reducing the light exit angle of the cemented lens element. Additionally, the seventh lens element 7 is a biconcave lens, and the overall structure of the cemented lens element is nearly symmetrical, which also helps balance the stress generated during the cementing process. The sixth and eighth lens elements 6 and 8 are positive lens elements made of low-refractive-index, low-dispersion materials (n6 = 1.60, v6 = 38.0; n8 = 1.62, v8 = 63.4), while the seventh lens element 7, being a negative lens element, is made of high-refractive-index, high-dispersion material (n7 = 1.72, v7 = 29.5) to correct positional chromatic aberration in the subsequent lens group and balance the overall chromatic aberration of the system.

[0077] The ninth lens element 9 is a plano-convex lens element with the convex surface in front, which satisfies the principle of minimum deviation angle. The ninth lens element 9 uses a high refractive index material (n9 = 1.74, v9 = 44.9) to avoid excessive bending of the lens element, reduce the introduction of higher aberrations, and at the same time have the function of converging light.

[0078] The first and tenth lens elements 10 are meniscus lenses with negative optical power, which have the function of correcting field curvature. To avoid introducing unnecessary chromatic aberration, low dispersion materials are still used (n10 = 1.62, v10 = 60.4).

[0079] The aperture stop is placed behind the first lens element of the rear group (i.e., the fifth lens element of the entire lens), and is positioned relatively forward of the rear group. On the one hand, this can reduce the light angle of the system's image plane and improve the relative illumination of the image plane. On the other hand, it can also reduce the effective light transmission diameter of the front group, thereby reducing the radial size of the entire system.

[0080] It is necessary to ensure that the lens back focal length (BF) is greater than 15mm to facilitate the installation of filter elements and reflector elements.

[0081] Ensure that the total system length TTL is less than 85mm and the effective light-transmitting aperture of the first surface is less than 50mm (46mm in this implementation case) to reduce the system's footprint and facilitate packaging.

[0082] In this embodiment, the front surfaces of both the first lens element 1 and the tenth lens element 10 are Q-type aspherical surfaces. Table 1 shows that the orders of magnitude of the Q-type polynomial coefficients in this embodiment are all in the range of 10. -3 Within 10, while the corresponding polynomial coefficients of even-degree aspherical surfaces are within 10. -5 -10 -12 (This is a common case when using even-order aspherical optimization), and is several orders of magnitude smaller than the coefficients of the corresponding Q-type polynomial.

[0083] Table 1. Parameters of the designed Q-type aspheres and corresponding even-order aspheres

[0084]

[0085]

[0086] In the embodiments of the present invention, the system focal length is 16.8mm, the image-side F number is 2.5, the field of view is 92°, the total length is 84.7mm, the back clipping is 15.263mm, the pixel count is 2048×2048, and the pixel size is 12×12um.

[0087] From the two-dimensional structural diagram of the optical system, it can be seen that none of the components in the system have edges that are too thin or too thick, nor are there any severe deformations caused by aspherical surfaces. Furthermore, Figures 2 to 5 The optical performance curves of the system are shown, and a detailed evaluation of the system performance is given. Figure 2 The spherical aberration curve (also known as the chromatic aberration curve) shows the spherical aberration and chromatic aberration at various wavelengths, represented by the wavelengths of the commonly used F, d, and C colors, with units in mm. As can be seen from the graph, the system's chromatic aberration is well corrected near the 0.8 aperture band, and the second-order spectrum is also relatively small. Figure 3 The figure shows the astigmatism curve, in mm. As can be seen from the figure, the astigmatism of the system has been corrected, and the field curvature value is less than 0.2. To ensure imaging quality at the edge aperture, the system has a small amount of defocus. Figure 4 The distortion curves show the relative distortion magnitudes at different field-of-view angles. It can be seen that the distortion across the entire field of view is very small, all not exceeding 0.5%. Figure 5 The MTF curve represents the overall imaging quality of an optical system. As can be seen from the curve, the image quality in this implementation case reaches the required level.

[0088] This invention employs a glass material design, resulting in superior light transmission. The lens achieves wide-angle, low-distortion, large relative aperture, and long back focal length, meeting the requirements for high-definition imaging at 2048×2048 pixels. The longer back focal length allows the lens elements and filters to be further away from the image sensor, effectively reducing the surface cleanliness requirements for each lens element and filter. The use of two aspherical elements effectively corrects aberrations, achieving satisfactory image quality. The Q-type aspherical polynomials used, under the same computing platform, have polynomial coefficients several orders of magnitude larger than those of corresponding even-order aspherical polynomials. This effectively reduces the impact of computer digital system truncation errors on the optimization process, improving the efficiency of optical system optimization design and enhancing the processing and inspection accuracy of aspherical optical components. The second term in the Q-type aspherical expression uses a series of orthogonal Jacobi polynomials, which avoids redundant interference between polynomial terms when performing optimization calculations in the even-order aspherical expression. This makes the optimization efficiency of the optical system higher, which helps to speed up the design process and obtain high-quality design results.

[0089] Compared to lenses with the same parameters in existing technologies, this invention achieves high-definition imaging of 2048×2048 pixels using eight spherical lens elements and two aspherical lens elements (each containing one aspherical element), while controlling distortion to within 0.5%, resulting in satisfactory image quality. The MTF across the entire field of view is above 0.5 at the Nyquist frequency of 42 lp / mm. Furthermore, the overall length of the lens and the effective diameter of the first lens element are smaller, which is more conducive to packaging. The longer back focal length of the lens allows the lens elements and filters to be further away from the image sensor, effectively reducing the surface cleanliness requirements for each lens element and filter, and further facilitating camera assembly and production.

[0090] In the description of this invention, it should be noted that the directional terms such as "center", "lateral", "longitudinal", "length", "width", "thickness", "upper", "lower", "front", "rear", "left", "right", "vertical", "horizontal", "top", "bottom", "inner", "outer", "clockwise", and "counterclockwise" indicate the orientation and positional relationship based on the orientation or positional relationship shown in the accompanying drawings. They are only for the convenience of describing this invention and simplifying the description, and do not indicate or imply that the device or element referred to must have a specific orientation, or be constructed and operated in a specific orientation. They should not be construed as limiting the specific protection scope of this invention.

[0091] It should be noted that the terms "comprising" and "having" and any variations thereof in the specification and claims of this application are intended to cover non-exclusive inclusion. For example, a process, method, system, product, or device that includes a series of steps or units is not necessarily limited to those steps or units that are explicitly listed, but may include other steps or units that are not explicitly listed or that are inherent to such process, method, product, or device.

[0092] Note that the above description is merely a preferred embodiment and application of the technical principles of the present invention. Those skilled in the art will understand that the present invention is not limited to the specific embodiments described herein, and various obvious changes, readjustments, and substitutions can be made without departing from the scope of protection of the present invention. Therefore, although the present invention has been described in detail through the above embodiments, the present invention is not limited to the specific embodiments described herein, and may include many other effective embodiments without departing from the concept of the present invention. The scope of the present invention is determined by the scope of the appended claims.

Claims

1. A small distortion large field high definition lens based on Q-TYPE aspheric surface, characterized in that: The lens comprises first lens element, second lens element, third lens element, fourth lens element, fifth lens element, sixth lens element, seventh lens element, eighth lens element, ninth lens element, tenth lens element and an aperture stop arranged in sequence from left to right, the aperture stop is arranged between the fifth lens element and the sixth lens element, two aspheric surfaces are adopted, the front surface of the first lens element and the front surface of the tenth lens element are Q-type aspheric surfaces; The first lens element, the second lens element and the third lens element are meniscus lens elements with negative focal power and convex to the object side; the fourth lens element is a meniscus lens element with positive focal power and convex to the object side; The fifth lens element is a biconvex lens element with positive focal power; The sixth lens element, the seventh lens element and the eighth lens element are cemented together to form a cemented lens element with positive focal power, wherein the sixth lens element is a positive lens element convex to the image side, the seventh lens element is a biconcave lens element with negative focal power, and the eighth lens element is a biconvex lens element with positive focal power; The ninth lens element is a plano-convex lens element with positive focal power and convex to the object side; The tenth lens element is a meniscus lens element with negative focal power and convex to the image side.

2. The small distortion large view high definition lens based on Q-TYPE aspherical surface of claim 1, wherein: The Q-type aspheric surface has the following expression of sag z relative to radius r: where u = r / rmax, rmax is the maximum clear aperture of the surface, c is the paraxial curvature, k is the quadratic term coefficient, D(u) is a series of orthonormalized Jacobi polynomials, D has two representations, weak Q-type polynomials Qbfs and strong Q-type polynomials Qcon; where: The weak Q-type polynomial has the following expression: ； Qbfs chooses a set of orthogonal sets , m = 0, 1, 2, …} to replace the traditional power index expression, where am is the coefficient of each polynomial, m is the order of Jacobi polynomial, M is the maximum order of the polynomial used, is the mth polynomial.

3. The small distortion large view high definition lens based on Q-TYPE aspherical surface of claim 1, wherein: The field of view of the small-distortion high-definition wide-angle lens satisfies 2ω=80°~110°.

4. The small distortion large view high definition lens based on Q-TYPE aspherical surface of claim 1, wherein: The ratio of the back focal length BF to the focal length f' of the small-distortion high-definition wide-angle lens satisfies 0.8≤BF / f'≤1.

2.

5. The small distortion large view high definition lens based on Q-TYPE aspherical surface of claim 1, wherein: The ratio of the effective clear aperture D1 of the first surface of the small-distortion high-definition wide-angle lens to the focal length f' satisfies 2.5≤D1 / f'≤3.

6. The small distortion large view high definition lens based on Q-TYPE aspherical surface of claim 1, wherein: The ratio of the total track length TTL to the effective focal length f' of the small-distortion high-definition wide-angle lens satisfies 4≤TTL / f'≤6.

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