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CN-120215107-B - Optical system design method based on super-structured lens Sedel aberration

CN120215107BCN 120215107 BCN120215107 BCN 120215107BCN-120215107-B

Abstract

The invention relates to the technical field of optical design, and provides an optical system design method based on super-structure lens Sedel aberration, which comprises the following steps of determining a Sedel aberration function of a super-structure surface; the Sedel aberration function comprises a spherical aberration coefficient, a coma aberration coefficient and an astigmatism coefficient, an objective function is determined according to the Sedel aberration function, optimization processing is carried out according to the objective function to obtain an optimization processing result, and structural parameters of the objective optical system are determined according to the optimization processing result. Through the mode, the invention establishes the super-structure lens Sedel aberration calculation system, the Sedel aberration of the super-structure lens calculated by the system can be directly and linearly overlapped with the Sedel aberration of the traditional refraction and reflection system, the characteristic provides a theoretical basis for the design of the composite optical system, and finally, the collaborative design of the super-structure lens and the aberration of the traditional optical system is realized.

Inventors

  • ZHENG ZHENRONG
  • ZHANG CHANGWEI

Assignees

  • 浙江大学

Dates

Publication Date
20260508
Application Date
20250221
Priority Date
20250218

Claims (10)

  1. 1. An optical system design method based on super-structured lens seidel aberration, comprising: Determining a seidel aberration function of the super-structured surface, wherein the seidel aberration function comprises a spherical aberration coefficient, a coma aberration coefficient and an astigmatism coefficient; determining an objective function from the seidel aberration function; performing optimization processing according to the objective function to obtain an optimization processing result; determining structural parameters of the target optical system according to the optimization processing result; the spherical aberration coefficient Expressed as: , Or alternatively ; The coma coefficient Expressed as: , Or alternatively ; The astigmatic coefficient Expressed as: , Or alternatively ; Wherein, the The refractive index of the medium to the left of the super-structured surface denoted by the number i, Representing the refractive index of the medium on the left side of the super-structured surface with the sequence number of i+1; representing the incident angle between the first paraxial ray and the super-structured surface with the serial number of i; representing the incidence height of the first paraxial ray and the super-structured surface with the sequence number of i; the emergent included angle between the first paraxial ray and the super-structured surface with the serial number of i is shown; representing the incident angle between the second paraxial ray and the super-structured surface with the serial number of i; representing the incidence height of the second paraxial ray and the super-structured surface with the sequence number of i; the emergent included angle between the second paraxial ray and the super-structured surface with the serial number of i is represented, wherein the first paraxial ray is edge ray, and the second paraxial ray is principal ray; an image Fang Jiaoju representing a super-structured surface with a sequence number i; Represents the dominant wavelength of the incident light; Additional phase terms above fourth order, representing the super-structured surface with index i.
  2. 2. The method for designing an optical system based on super-structured lens seidel aberration according to claim 1, characterized in that the seidel aberration function further includes a field curvature coefficient and a distortion coefficient; The field curvature coefficient Expressed as: ; the distortion coefficient Expressed as: , Or alternatively 。
  3. 3. The method for designing an optical system based on super-structured lens seidel aberration according to claim 1, characterized in that the seidel aberration function further includes a positional chromatic aberration coefficient and a magnification chromatic aberration coefficient; The positional color difference coefficient Expressed as: , Or alternatively ; The multiplying power chromatic aberration coefficient Expressed as: , Or alternatively ; Wherein, the Representing the refractive index difference of the medium at the left side of the super-structured surface after the wavelength is changed; representing the refractive index difference of the right medium of the super-structured surface with the serial number i after the wavelength is changed from the dominant wavelength to the dispersion wavelength; representing the refractive index difference of the medium on the left side of the super-structured surface with the serial number of i+1 after the wavelength is changed from the dominant wavelength to the dispersion wavelength; The difference between the focal length of the image side at the wavelength of the chromatic dispersion to be studied and the focal length of the image side of the dominant wavelength for the super-structured surface with the number i is shown.
  4. 4. The method for designing an optical system based on super-structured lens seidel aberration according to any one of claims 1 to 3, characterized by further comprising: when the target optical system includes an over-structured surface and other optical surfaces other than the over-structured surface, determining a first type of seidel aberration function of the over-structured surface and a second type of seidel aberration function of the other optical surfaces, respectively; determining a hybrid objective function from the first type of seidel aberration function and the second type of seidel aberration function; optimizing the mixed objective function to obtain a mixed optimization result; and determining structural parameters of the target optical system based on the mixed optimization processing result.
  5. 5. The method of claim 4, wherein determining the first type of seidel aberration function of the super-structured surface and the second type of seidel aberration function of the other optical surface, respectively, comprises: determining a corresponding seidel aberration function according to the type of each surface in the target optical system; If the ith surface in the target optical system is determined to be the super-constructed surface, determining a first type of seidel aberration function of the ith surface according to a first mode; if the ith surface in the target optical system is determined to be the other optical surface, a second type of seidel aberration function of the ith surface is determined in a second manner.
  6. 6. The method for designing an optical system based on super-structured lens seidel aberrations of claim 5, wherein the hybrid objective function Expressed as: ; Wherein, the The function is related to Or 0; The related spherical aberration coefficients are obtained according to the spherical aberration coefficients in the first type of seidel aberration function and the spherical aberration coefficients in the second type of seidel aberration function; The function is related to Or 0; is a related coma coefficient obtained according to the coma coefficient in the first kind of seidel aberration function and the coma coefficient in the second kind of seidel aberration function; The function is related to Or 0; The relevant astigmatic coefficients are obtained according to the astigmatic coefficients in the first type of seidel aberration function and the astigmatic coefficients in the second type of seidel aberration function; The function is related to Or 0; The correlation field curvature coefficient is obtained according to the field curvature coefficient in the first type of the Sield aberration function and the field curvature coefficient in the second type of the Sield aberration function; The function is related to Or 0; the correlation distortion coefficient is obtained according to the distortion coefficient in the first type of the Sielder aberration function and the distortion coefficient in the second type of the Sielder aberration function; The function is related to Or 0; The correlation position chromatic aberration coefficient is obtained according to the position chromatic aberration coefficient in the first type of the Sield aberration function and the position chromatic aberration coefficient in the second type of the Sield aberration function; The function is related to Or 0; the related magnification chromatic aberration coefficient is obtained according to the magnification chromatic aberration coefficient in the first kind of the Sielder aberration function and the magnification chromatic aberration coefficient in the second kind of the Sielder aberration function.
  7. 7. The method for designing an optical system based on super-structured lens Sedel aberration according to claim 6, ; ; ; ; ; ; ; Wherein m represents the total number of super-structured surfaces and other optical surfaces in the target optical system; Is about An increasing function of (2); the spherical aberration coefficient of the super-structured surface or other optical surface with the sequence number of i; Is about An increasing function of (2); the spherical aberration coefficient of the super-structured surface or other optical surface with the sequence number of i; Is about An increasing function of (2); the spherical aberration coefficient of the super-structured surface or other optical surface with the sequence number of i; Is about An increasing function of (2); the spherical aberration coefficient of the super-structured surface or other optical surface with the sequence number of i; Is about An increasing function of (2); the spherical aberration coefficient of the super-structured surface or other optical surface with the sequence number of i; Is about An increasing function of (2); the spherical aberration coefficient of the super-structured surface or other optical surface with the sequence number of i; Is about An increasing function of (2); Refers to the spherical aberration coefficient of the super-structured surface or other optical surface, numbered i.
  8. 8. An electronic device comprising a memory, a processor and a computer program stored on the memory and running on the processor, characterized in that the processor implements the method for designing an optical system based on super-structured lens seidel aberrations according to any one of claims 1 to 7 when executing the computer program.
  9. 9. A non-transitory computer-readable storage medium having stored thereon a computer program, wherein the computer program, when executed by a processor, implements the optical system design method based on super-structured lens seidel aberrations according to any one of claims 1 to 7.
  10. 10. A computer program product comprising a computer program, characterized in that the computer program, when executed by a processor, implements the optical system design method based on super-structured lens seidel aberrations according to any one of claims 1 to 7.

Description

Optical system design method based on super-structured lens Sedel aberration Technical Field The invention relates to the technical field of optical design, in particular to an optical system design method based on super-structure lens Sedel aberration. Background The super-structured lens is used as a novel planar optical device, has the advantages of ultra-thin, light weight and the like, and has important application value in pushing miniaturization of an imaging system. However, current super-structured lens designs are overly dependent on optimization algorithms, but lack systematic aberration theory as a guideline. Particularly when integrated with conventional catadioptric optical systems, the lack of a uniform frame of aberration theory makes it difficult to achieve a synergistic design of the overall system. In addition, under the condition of the prior art, the complete seidel aberration system of the super-structure lens is not established yet, so that the super-structure lens and the traditional optical system are difficult to realize effective linkage and cooperation in terms of aberration. Disclosure of Invention The invention provides an optical system design method based on super-structure lens Sedel aberration, which is used for solving the technical problems that the design of the super-structure lens in the prior art lacks a unified framework and cannot realize effective linkage with the design of the traditional optical system. The invention provides an optical system design method based on super-structured lens Sedel aberration, which comprises the steps of determining a Sedel aberration function of a super-structured surface, wherein the Sedel aberration function comprises a spherical aberration coefficient, a coma aberration coefficient and an astigmatism coefficient; Coefficient of spherical aberration Expressed as: , Or alternatively ; Coefficient of comaExpressed as: , Or alternatively ; Astigmatic coefficientExpressed as: , Or alternatively ; Wherein, the The refractive index of the medium to the left of the super-structured surface denoted by the number i,Representing the refractive index of the medium on the left side of the super-structured surface with the sequence number of i+1; representing the incident angle between the first paraxial ray and the super-structured surface with the serial number of i; representing the incidence height of the first paraxial ray and the super-structured surface with the sequence number of i; the emergent included angle between the first paraxial ray and the super-structured surface with the serial number of i is shown; representing the incident angle between the second paraxial ray and the super-structured surface with the serial number of i; representing the incidence height of the second paraxial ray and the super-structured surface with the sequence number of i; The emergent included angle between the second paraxial ray and the super-structured surface with the serial number of i is represented, wherein the first paraxial ray is edge ray, and the second paraxial ray is principal ray; an image Fang Jiaoju representing a super-structured surface with a sequence number i; Represents the dominant wavelength of the incident light; Additional phase terms above fourth order, representing the super-structured surface with index i. According to the optical system design method based on the super-structured lens Sedel aberration, the Sedel aberration function also comprises a field curvature coefficient and a distortion coefficient; Field curvature coefficient Expressed as:; Distortion coefficient Expressed as: , Or alternatively 。 According to the optical system design method based on the super-structured lens Sedel aberration, the Sedel aberration function also comprises a position chromatic aberration coefficient and a multiplying power chromatic aberration coefficient; coefficient of positional chromatic aberration Expressed as: , Or alternatively ; Coefficient of chromatic aberration of magnificationExpressed as: , Or alternatively ; Wherein, the Representing the refractive index difference of the medium at the left side of the super-structured surface after the wavelength is changed; representing the refractive index difference of the right medium of the super-structured surface with the serial number i after the wavelength is changed from the dominant wavelength to the dispersion wavelength; representing the refractive index difference of the medium on the left side of the super-structured surface with the serial number of i+1 after the wavelength is changed from the dominant wavelength to the dispersion wavelength; The difference between the focal length of the image side at the wavelength of the chromatic dispersion to be studied and the focal length of the image side of the dominant wavelength for the super-structured surface with the number i is shown. The optical system design method based on the super-structured lens Sedel aber