Multi-order rotary zoom diffraction lens system design and implementation method thereof
By designing a multi-stage rotating zoom diffraction lens system, and utilizing phase superposition of refracting field mirrors and optical material calculations, the structural complexity and dispersion problems of traditional zoom lens systems were solved, achieving lightweight and efficient imaging.
Patent Information
- Authority / Receiving Office
- CN · China
- Patent Type
- Applications(China)
- Current Assignee / Owner
- Filing Date
- 2026-01-29
- Publication Date
- 2026-03-31
AI Technical Summary
Traditional zoom lens systems are complex in structure, large in size, and have poor image quality. Rotary zoom systems suffer from chromatic aberration and are difficult to mass-produce.
A multi-order rotating zoom diffractive lens system is designed. By superimposing two multi-order diffractive optical elements with field mirror phase, the height of the microstructure is calculated using the refractive index and geometric relationship of the optical materials, thereby achieving continuous adjustment of optical power, eliminating dispersion and simplifying the structure.
It achieves lightweight optical systems, simplifies the manufacturing process, reduces costs, expands the focal length adjustment range, and improves image quality, making it suitable for portable devices and space telescopes.
Smart Images
Figure CN121763469A_ABST
Abstract
Description
Technical Field
[0001] This invention relates to the field of optical lens technology, and in particular, to a design and implementation method of a multi-order rotating zoom diffraction lens system. Background Technology
[0002] Continuous zoom optical systems refer to optical systems where the focal length can be continuously changed within a certain range, while the image plane position remains constant and the image quality remains sharp. Traditional zoom lens systems consist of multiple positive and negative lenses. To achieve zoom functionality, the spacing between lens groups needs to be changed. However, changing the spacing between lens groups causes the image plane to shift. To eliminate this harmful image plane shift, some lens groups need to compensate for the shift. In this case, the optical system becomes structurally complex, bulky, and fails to achieve the image quality of a fixed focal length lens. This limits the lightweight imaging capabilities of optical systems, posing a significant challenge, especially for portable devices such as mobile phone cameras and space telescopes that need to be transported by rockets. Furthermore, high-precision optical systems require high-precision lens manufacturing technology and very strict tolerance settings, which is detrimental to the mass production of optical systems.
[0003] With the development of micro-optics and the advancement of manufacturing technology, researchers have begun to use diffractive optical systems as a solution to replace traditional catadioptric optical systems. In many optical systems, rotating elements are preferred over translational elements because they are easier to implement. Two cascaded diffractive optical elements form a rotation zoom system. However, early designs of single-order diffractive optical elements still suffer from strong dispersion problems. Therefore, in the moiré structure of rotation zoom, the dispersion is further amplified with the rotation angle, resulting in extreme separation of the focal positions of different colors, different point spread function sizes, and even double focal points, making it only work under monochromatic light. Summary of the Invention
[0004] This invention provides a design and implementation method for a multi-order rotating zoom diffractive lens system, which solves the problems of low imaging quality, large aberrations, and limited zoom range of rotating zoom systems composed of two pure diffractive optical elements, as well as the complex structure, large number of lenses, strict tolerances, and high cost of traditional catadioptric zoom systems.
[0005] To achieve the above objectives, this invention provides a multi-order rotational zoom diffraction lens system design. The system includes a first multi-order diffraction optical element and a second multi-order diffraction optical element. The second multi-order diffraction optical element superimposes the field mirror phase. The optical axes of the first and second multi-order diffraction optical elements are collinear. The optical power of the combined first and second multi-order diffraction optical elements varies with the relative rotation angle between them. Within the entire tuning range of the multi-order rotational zoom diffraction lens system, the composite lens formed by the combination of the first and second multi-order diffraction optical elements operates at a designed wavelength. Based on harmonic wavelength The optical power at each location is equal, and the microstructure heights of the first and second multi-order diffractive optical elements are directly calculated and determined through geometric relationships.
[0006] On the other hand, the present invention also provides a method for designing a multi-order rotating zoom diffractive lens system, which is used for the design of the aforementioned multi-order rotating zoom diffractive lens system. The method includes: step S1, obtaining the target wavelength band and the optical material used in optical design in the target wavelength band; step S2, obtaining the optical parameters of the multi-order diffractive optical element; step S3, calculating the phase distribution of the multi-order diffractive optical element; step S4, solving for the microstructure height based on the working wavelength and the refractive index of the optical material; and step S5, performing precision machining based on the point cloud data of the microstructure height.
[0007] Furthermore, the obtained diffraction lens height point cloud data is used for processing.
[0008] The beneficial effects of this invention are as follows:
[0009] (1) The technical solution provided by this invention has a simple design principle and high efficiency;
[0010] (2) It is proposed to superimpose the phase of the refractive field mirror into the Mohrdo order diffraction structure, thereby realizing the integrated design of the refractive field mirror and the diffraction focusing structure, so that the refractive power and the diffraction adjustable power can be realized simultaneously in a single structure, thereby obtaining a larger focal length adjustment range.
[0011] (3) Multi-order diffraction optical elements effectively solve the problem of strong dispersion of single-order diffraction lenses by controlling the diffraction order to design multiple harmonic wavelengths with consistent optical power at the same rotation angle, thus achieving broadband achromaticity.
[0012] (4) It has a compact structure and is lightweight compared to traditional mechanical zoom, and can be used in imaging and spectral systems;
[0013] (5) It does not require mechanical compensation through the relative movement between lenses in a traditional zoom lens group to achieve changes in optical power, making the system small in size and light in weight, and with low processing cost and simple manufacturing. Attached Figure Description
[0014] The accompanying drawings are provided to further illustrate embodiments of the present invention and form part of the specification. They are used together with the following detailed description to explain the embodiments of the present invention, but do not constitute a limitation thereof. In the drawings:
[0015] Figure 1 Flowchart of the implementation method for the design of the multi-order rotating zoom diffraction lens system provided by the present invention;
[0016] Figure 2 The surface height profile of two multi-order diffractive optical elements provided by the present invention;
[0017] Figure 3 Simulation results of the Strell ratio of the multi-order tunable moiré diffraction lens system provided by the present invention as a function of operating wavelength.
[0018] Figure 4 A graph showing the change of focal length as a function of rotation angle in the multi-order rotating zoom diffraction lens system provided by the present invention;
[0019] Figure 5 The image shows two multi-order diffraction optical elements provided by this invention. Detailed Implementation
[0020] To make the objectives, technical solutions, and advantages of this invention clearer, the invention will be further described in detail below with reference to the accompanying drawings and embodiments. It should be understood that the specific embodiments described herein are merely illustrative and not intended to limit the invention. Furthermore, the technical features involved in the various embodiments of this invention described below can be combined with each other as long as they do not conflict with each other. To achieve the above objectives, this invention adopts the following technical solution.
[0021] This invention provides a design for a multi-order rotating zoom diffractive lens system. The system includes a first multi-order diffractive optical element and a second multi-order diffractive optical element. The second multi-order diffractive optical element superimposes the field mirror phase. The optical axes of the first and second multi-order diffractive optical elements are collinear. The optical power of the combined first and second multi-order diffractive optical elements varies with the relative rotation angle between them. Within the entire tuning range of the multi-order rotating zoom diffractive lens system, the composite lens formed by the combination of the first and second multi-order diffractive optical elements operates at a designed wavelength. Based on harmonic wavelength The optical power is equal at the same location, and the microstructure height of the first and second multi-order diffractive optical elements is directly calculated and determined through geometric relationships.
[0022] The two multi-order diffractive optical elements described in this invention include a first multi-order diffractive optical element and a second multi-order diffractive optical element. Design wavelength. That is, the design wavelength of a multi-order rotating zoom diffractive lens system composed of a first-order multi-order diffractive optical element and a second-order multi-order diffractive optical element. Design wavelength The system design wavelength and harmonic wavelength used by both the first-order and second-order diffractive optical elements. The operating wavelengths of the multi-order rotating zoom diffraction lens system at different diffraction orders are given. The microstructure heights of the first and second multi-order diffraction optical elements are directly calculated and determined through the geometric relationship between the corresponding phase distribution and the refractive index of the optical material.
[0023] In this design, the first and second multi-order diffractive optical elements are placed directly adjacent to each other to form a composite lens with a surface profile. The optical power of the composite lens varies with the relative rotation angle of the first and second multi-order diffractive optical elements, and remains constant throughout the entire design wavelength range. Based on harmonic wavelength The optical power is equal at each location. The design band range encompasses the entire design band range of the multi-order rotating zoom diffraction lens system.
[0024] Among them, in the design wavelength Below Phase profile at another wavelength The following steps can be taken to rebuild:
[0025] When the incident wavelength is different from the design wavelength Change to another wavelength At the same time, the phase delay corresponding to the physical relief height of the same diffractive optical element changes at different wavelengths: ,in, wavelength The corresponding refractive index, For design wavelength The corresponding refractive index. Originally, this was used in the design wavelength... The following is Phase depth diffractive optical elements at different wavelengths The following corresponds to non-integer multiples. Phase, but diffraction systems allow for order jumps at wavelengths. The system will automatically select a new diffraction order. This makes the new diffraction order The diffraction efficiency is the highest: This allows for the reconstruction of an equivalent parabolic phase lens. In other words, when the compound lens operates at a non-designed wavelength, the phase scaling effect caused by the wavelength change results in the surface phase distribution of the same element at the new wavelength. The following wavelength no longer corresponds to the design wavelength The next The diffraction condition is then met. At this point, the compound lens reconstructs an integer diffraction order at the new wavelength that matches its phase depth. This causes the composite phase distribution to be in mode In this sense, it is reconstituted into a parabolic phase distribution, thereby compensating for the dispersion effect caused by diffraction and obtaining the same optical power at different wavelengths.
[0026] The two multi-order diffractive optical elements are composed of blazed Fresnel microstructures formed by wavelength-refractive index conversion and multi-order folding based on a spiral diffraction phase function. This method, combined with programming software, designs a multi-order rotating zoom diffractive lens system that is simple in principle, has controllable fabrication difficulty, and excellent performance. Specifically, as follows... Figure 1 As shown, Figure 1 A flowchart illustrating the implementation method of a multi-order rotating zoom diffraction lens system design provided by this invention. This method, used in the design of the aforementioned multi-order rotating zoom diffraction lens system, includes:
[0027] Step S1 involves obtaining the target wavelength band and the optical material used for optical design within that target wavelength band. The optical material is one that is easily processed within the target operating wavelength band. Specifically, this invention designs the incident wavelength band in the short-wave infrared range of 900-1700 nm, with a center wavelength of 1300 nm, and uses polymethyl methacrylate (refractive index 1.48) as the optical material.
[0028] Step S2: Obtain the optical parameters of the multi-order diffractive optical element. The optical parameters include, for example, aperture and focal length. The aperture of the first multi-order diffractive optical element and the second multi-order diffractive optical element are 20 mm and the focal length is 240 mm.
[0029] Step S3: Calculate the phase distribution of the multi-order diffractive optical element.
[0030] Step S4: Calculate the microstructure height based on the working wavelength and the refractive index of the optical material.
[0031] Step S5: Based on the point cloud data of the microstructure height, perform precision machining and manufacturing.
[0032] The microstructure height point cloud data of the first and second multi-order diffractive optical elements were directly calculated using theoretical design formulas.
[0033] The implementation method of the multi-order rotating zoom diffraction lens system design provided by the present invention further includes:
[0034] In step S3, the first multi-order diffraction optical element and the second multi-order diffraction optical element are coaxially arranged and have the same effective aperture. The phase distributions of the first multi-order diffraction optical element and the second multi-order diffraction optical element are both in the same polar coordinate system. The following characterization, based on the phase-height mapping relationship, is performed at the designed wavelength. The surface phase distribution of a multi-order diffractive optical element is constructed, and the phase distribution is modeled. The operation is used to perform phase compression processing to eliminate... Phase redundancy caused by periodicity; among which, The polar diameter is measured from the center of the diffractive optical element as the origin. The polar angle is measured with the center of the diffractive optical element as the origin;
[0035] In step S4, the phase distribution after phase compression is converted point by point into the corresponding microstructure height according to the phase-height mapping relationship;
[0036] In step S5, the spatial coordinates within the effective aperture of the diffractive optical element are discretely sampled to calculate the height value at each sampling position, thereby forming microstructure height point cloud data for processing.
[0037] Step S3 includes: calculating the phase distribution of the first multi-order diffractive optical element; calculating the phase distribution of the field lens of the second multi-order diffractive optical element; and calculating the phase distribution of the second multi-order diffractive optical element in combination with the phase distribution of the field lens.
[0038] The phase distribution of the first multi-order diffractive optical element is calculated as follows:
[0039] ;
[0040] in, The phase of the first-order multi-diffraction optical element, To match the design wavelength The corresponding diffraction order changes as the harmonic wavelength changes. Design parameters: , For the design wavelength, To design the focal length, specifically the focal length of a multi-stage rotating zoom diffraction lens system. The relative rotation angle between the first and second multi-order diffraction optical elements. and For polar coordinate variables, Indicates the polar radius. Indicates the polar angle. For model Operators.
[0041] Harmonic wavelength refers to the operating wavelength at which, under non-design wavelength conditions, the phase distribution of a compound lens can be reconstituted into the designed parabolic phase distribution at new integer diffraction orders. For relative to the design wavelength In multi-order diffractive optical elements, the design order is improved. The phase profile is reconstructed into integer diffraction orders at the operating wavelength. A set of discrete wavelengths, a set of harmonic wavelengths in a multi-order rotating zoom diffraction lens. The location has the same wavelength as the design. For the same optical power, the following relationship holds: , Therefore, when the harmonic wavelength changes, the diffraction order will also change accordingly.
[0042] Among them, design parameters These are adjustable design parameters used to characterize the focusing sensitivity of the compound lens. Their values determine the relationship between the optical power of the compound lens and the relative rotation angle between the first and second multi-order diffractive optical elements.
[0043] Among them, the polar diameter of the first multi-order diffraction optical element The polar angle of the first multi-order diffractive optical element It can be measured from the center of the first multi-order diffractive optical element.
[0044] The phase distribution of the second-order diffraction optical element is calculated by combining the phase distribution of the field mirror with the following:
[0045] The phase distribution of the field lens of the second-order multi-diffraction optical element is calculated as follows:
[0046] ;
[0047] in, For the phase of the superimposed field mirror of the second-order multi-order diffraction optical element, For design wavelength The corresponding wave number;
[0048] The phase distribution of the second-order diffractive optical element is calculated as follows:
[0049] ;
[0050] in, This refers to the phase of the second-order multi-diffraction optical element.
[0051] Will Substituting, we get:
[0052] ;
[0053] The first multi-order diffraction optical element and the second multi-order diffraction optical element are both in the same polar coordinate system. The following is a characterization.
[0054] In the embodiments provided by this invention, the surface phase distribution of the composite lens can also be calculated when the composite lens is at the designed wavelength. After the following construction is completed, if at another working wavelength When used below, because the refractive index of optical materials differs at different wavelengths, the same microstructure height will cause different phase delays. While keeping the microstructure height distribution of the composite lens constant, different operating wavelengths... The corresponding equivalent phase distribution can be determined by the design wavelength. The phase distribution below is scaled according to a scaling factor to obtain the reconstructed phase distribution corresponding to the surface of the compound lens:
[0055] ;
[0056] in, For the surface phase of the compound lens, For design wavelength The corresponding diffraction order, For materials at the designed wavelength The corresponding refractive index, For materials at wavelength The corresponding refractive index.
[0057] Step S4 includes: calculating the microstructure height of the first multi-order diffraction optical element based on the phase distribution of the first multi-order diffraction optical element; and calculating the microstructure height of the second multi-order diffraction optical element based on the phase distribution of the second multi-order diffraction optical element.
[0058] The microstructure height of the first multi-order diffraction optical element is calculated as follows:
[0059] ;
[0060] in, The microstructure height of the first-order multi-diffraction optical element. For the design wavelength, For materials at the designed wavelength The corresponding refractive index.
[0061] Will Substituting, we get:
[0062] .
[0063] The microstructure height of the second-order multi-order diffraction optical element is calculated as follows:
[0064] ;
[0065] in, The microstructure height of the second-order multi-order diffraction optical element, For the design wavelength, For materials at the designed wavelength The corresponding refractive index.
[0066] Will and Substituting, we get:
[0067] .
[0068] The height of each microstructure is determined by the phase distribution of the microstructure on the surface of the diffractive optical element, based on the known phase-height mapping relationship.
[0069] In the embodiments provided by this invention, the surface height profile of the composite lens is calculated as follows:
[0070] ;
[0071] in, The surface height of the compound lens.
[0072] Where there is a relative rotation angle between the first multi-order diffraction optical element and the second multi-order diffraction optical element. When the phase function of the compound lens is at the polar angle It exhibits segmented characteristics, thus dividing the entire optical aperture into two angular sectors: and By calculating the equivalent optical power in different angular sectors, the composite lens is characterized for different harmonic wavelengths. The focusing capability is assessed, and the correspondence between the rotation angle and the system's equivalent focal length is established. Within each sector, the phase of the compound lens is in mode... In the sense of the two sectors, they are all equivalent to a parabolic phase distribution, and corresponding to a determined equivalent optical power. Since the phase shift term differs by a complete [period] in the two sectors... The period, and their equivalent optical power are respectively and This creates a composite lens with spatial partitioning characteristics. The optical power in the two angular sectors... and The calculation is as follows:
[0073] ;
[0074] in, and These represent the equivalent optical power of the compound lens in two different angular sectors. To reconstruct the diffraction order, Values , , In relation to the design wavelength The reconstructed diffraction order corresponding to the closest wavelengths with the same optical power. for , , .
[0075] Figure 2 The surface height profile of the two multi-order diffraction optical elements provided by this invention is as follows: Figure 2 As shown, based on the microstructure height point cloud data, the surface height profiles of two multi-order diffraction optical elements were drawn, including the surface height profile of the first multi-order diffraction optical element (…). Figure 2 (Left image) and the surface height profile of the second-order diffraction optical element ( Figure 2 (The right image in the image).
[0076] Figure 3 The simulation results of the Strell ratio as a function of wavelength for the multi-order rotating zoom diffraction lens system provided by this invention are shown in the figure. Figure 3 As shown, the horizontal axis represents the operating wavelength, and the vertical axis represents the Strell ratio of the multi-order rotating zoom diffraction lens system at the corresponding wavelength. From Figure 3 As can be seen from this, in the design wavelength and its corresponding multiple harmonic wavelengths At this point, the Strell ratio of the multi-order rotating zoom diffraction lens system provided by this invention is close to 1, indicating that the system can achieve near-diffraction-limited focusing performance at the aforementioned multiple operating wavelengths. This simulation result verifies that the multi-order rotating zoom diffraction lens system provided by this invention has good imaging quality and band consistency under multi-band operating conditions. In a specific embodiment, the harmonic wavelength... With design wavelength Between satisfy The relationship, among which For design wavelength The corresponding diffraction order, To reconstruct the diffraction order, for example, when , ,and At that time, the corresponding harmonic wavelength The corresponding wavelengths are 1625nm, 1444.44nm, 1300nm, 1181.82nm, 1083.33nm, 1000nm, and 928.57nm.
[0077] Figure 4 The curve of focal length versus rotation angle for the multi-order rotating zoom diffraction lens system provided by this invention is shown below. Figure 4 As shown, the horizontal axis represents the relative rotation angle between the two multi-order diffraction optical elements. The vertical axis represents the focal length corresponding to the multi-order rotating zoom diffraction lens system. It can be seen that as the rotation angle... As the focal length increases, the system's focal length exhibits a continuous and monotonous variation trend, and the variation process is smooth and stable. This indicates that by adjusting the relative rotation angle between the two multi-order diffractive optical elements, the system's focal length can be continuously adjusted. The simulation results verify that the multi-order rotating zoom diffractive lens system proposed in this invention can achieve stable and continuous zoom functionality under simple structural conditions.
[0078] Figure 5 Here are physical images of the two multi-order diffraction optical elements provided by this invention, as shown below. Figure 5 As shown, single-point diamond turning technology is used for machining, which has the advantages of convenient machining and small error.
[0079] The technical solution provided by this invention allows for the adjustment of adjustable parameters based on the wavelength of the multi-order diffraction optical element and the optical material required for focusing. The phase distribution of optical elements is designed, and then the height point cloud data of each microstructure is calculated and processed according to the phase compression formula.
[0080] This invention discloses a design and implementation method for a multi-order rotating zoom diffractive lens system. Unlike traditional systems where both diffractive optical elements are purely diffractive, this invention proposes a design method for a multi-order moiré rotating zoom diffractive lens with superimposed refractive field mirror phases. By designing the phases of the multi-order diffractive optical elements, the height of the microstructure can be calculated. The multi-order rotating zoom diffractive lens system of this invention includes a first multi-order diffractive optical element and a second multi-order diffractive optical element with superimposed field mirror phases. The optical power of the composite lens formed by the combination of the first multi-order diffractive optical element and the second multi-order diffractive optical element with superimposed field mirror phases changes with the relative rotation angle of the two multi-order diffractive optical elements. This eliminates the need for mechanical compensation through the relative movement between the lenses in a traditional zoom lens assembly to achieve changes in optical power, resulting in a small system size, light weight, low processing cost, and simple manufacturing. This invention can directly calculate and simulate the height of the microstructure using the wavelength and refractive index of the material required in the optical design. It is applicable in both visible and infrared bands and can be used in imaging optical systems, visible / shortwave infrared spectral imaging, optical instruments, and other fields.
[0081] The optional embodiments of the present invention have been described in detail above with reference to the accompanying drawings. However, the embodiments of the present invention are not limited to the specific details in the above embodiments. Within the scope of the technical concept of the embodiments of the present invention, various simple modifications can be made to the technical solutions of the embodiments of the present invention, and these simple modifications all fall within the protection scope of the embodiments of the present invention.
[0082] It should also be noted that the various specific technical features described in the above embodiments can be combined in any suitable manner without contradiction. To avoid unnecessary repetition, the embodiments of the present invention will not describe the various possible combinations separately.
[0083] Furthermore, various different implementations of the present invention can be combined arbitrarily, as long as they do not violate the spirit of the present invention, they should also be regarded as the content disclosed in the present invention.
Claims
1. A design for a multi-order rotating zoom diffraction lens system, characterized in that, The system includes a first multi-order diffractive optical element and a second multi-order diffractive optical element. The second multi-order diffractive optical element is superimposed with a field mirror phase. The optical axes of the first and second multi-order diffractive optical elements are collinear. The optical power of the combined first and second multi-order diffractive optical elements varies with the relative rotation angle between them. Within the entire tuning range of the multi-order rotational zoom diffractive lens system, the composite lens formed by the combination of the first and second multi-order diffractive optical elements operates at a designed wavelength. Based on harmonic wavelength The optical power at each location is equal, and the microstructure heights of the first and second multi-order diffractive optical elements are directly calculated and determined through geometric relationships.
2. The design of the multi-order rotating zoom diffraction lens system according to claim 1, characterized in that, The first and second multi-order diffractive optical elements are placed directly adjacent to each other to form a composite lens with an equivalent composite phase distribution. The optical power of the composite lens varies with the relative rotation angle of the first and second multi-order diffractive optical elements, and remains constant throughout the entire design wavelength range. Based on harmonic wavelength The optical power is equal at each location.
3. A method for implementing a multi-order rotating zoom diffraction lens system design, used in the design of the multi-order rotating zoom diffraction lens system as described in claim 2, characterized in that, The method includes: Step S1: Obtain the target wavelength band for the operation and the optical materials used in the optical design within that target wavelength band; Step S2: Obtain the optical parameters of the multi-order diffraction optical element; Step S3: Calculate the phase distribution of the multi-order diffraction optical element; Step S4: Calculate the microstructure height based on the operating wavelength and the refractive index of the optical material; and... Step S5: Based on the point cloud data of the microstructure height, perform precision machining and manufacturing.
4. The implementation method of the multi-order rotating zoom diffraction lens system design according to claim 3, characterized in that, The method also includes: In step S3, the first multi-order diffraction optical element and the second multi-order diffraction optical element are coaxially arranged and have the same effective aperture, and the phase distributions of the first multi-order diffraction optical element and the second multi-order diffraction optical element are both in the same polar coordinate system. The following characterization, based on the phase-height mapping relationship, is performed at the designed wavelength. The surface phase distribution of a multi-order diffractive optical element is constructed, and the phase distribution is then modeled. The operation is used to perform phase compression processing to eliminate... Phase redundancy caused by periodicity; In step S4, the phase distribution after phase compression is converted point by point into the corresponding microstructure height according to the phase-height mapping relationship; In step S5, the spatial coordinates within the effective aperture of the diffractive optical element are discretely sampled to calculate the height value at each sampling position, thereby forming microstructure height point cloud data for processing.
5. The implementation method of the multi-order rotating zoom diffraction lens system design according to claim 4, characterized in that, Step S3 includes: Calculate the phase distribution of the first multi-order diffractive optical element; Calculate the phase distribution of the field mirror of the second-order multi-diffraction optical element; and, The phase distribution of the second-order diffractive optical element is calculated by combining the phase distribution of the field mirror.
6. The implementation method of the multi-order rotating zoom diffraction lens system design according to claim 5, characterized in that, The phase distribution of the first multi-order diffraction optical element is calculated as follows: ； in, The phase of the first multi-order diffraction optical element. To match the design wavelength The corresponding diffraction order, Design parameters: , For the design wavelength, To design the focal length, The relative rotation angle between the first multi-order diffraction optical element and the second multi-order diffraction optical element. and For polar coordinate variables, Indicates the polar radius. Indicates the polar angle. For model Operators.
7. The implementation method of the multi-order rotating zoom diffraction lens system design according to claim 6, characterized in that, The phase distribution of the second multi-order diffraction optical element is calculated by combining the phase distribution of the field mirror, including: The phase distribution of the field lens of the second multi-order diffraction optical element is calculated as follows: ； in, The phase of the superimposed field mirror of the second multi-order diffraction optical element. For design wavelength The corresponding wave number; The phase distribution of the second multi-order diffractive optical element is calculated as follows: ； in, The phase of the second multi-order diffraction optical element; The first multi-order diffraction optical element and the second multi-order diffraction optical element are both in the same polar coordinate system. The following is a characterization.
8. The implementation method of the multi-order rotating zoom diffraction lens system design according to claim 6, characterized in that, Step S4 includes: The microstructure height of the first multi-order diffraction optical element is calculated based on its phase distribution; and, The microstructure height of the second multi-order diffractive optical element is calculated based on the phase distribution of the second multi-order diffractive optical element.
9. The implementation method of the multi-order rotating zoom diffraction lens system design according to claim 8, characterized in that, The microstructure height of the first multi-order diffraction optical element is calculated as follows: ； in, The microstructure height of the first-order multi-order diffraction optical element. For the design wavelength, For materials at the designed wavelength The corresponding refractive index.
10. The implementation method of the multi-order rotating zoom diffraction lens system design according to claim 8, characterized in that, The microstructure height of the second multi-order diffraction optical element is calculated as follows: ； in, This represents the microstructure height of the second-order multi-stage diffraction optical element.