An optical system optimization design method for differentially controlling posture sensitivity

Abstract

The present invention relates to the field of optical design technology, and specifically provides an optical system optimization design method for differentially controlling posture sensitivity. First, the initial structure of the optical system is determined according to index requirements, and the system image quality is preliminarily optimized. Then, based on the vector aberration theory, the optical system aberration under the condition of posture misalignment is obtained, and the sensitivity of the specific type of aberration coefficient of any field of view point to different posture misalignments is obtained accordingly. An analytical relationship between the system posture sensitivity and the system structural parameters is constructed, and posture sensitivity evaluation functions for single field of view and full field of view are constructed. Finally, the evaluation function is converted into a macro language and loaded into the optical system optimization evaluation function to perform differential optimization on the posture sensitivity of the optical system. The present invention greatly improves the system optimization efficiency by directly constructing the relationship between the posture misalignment and the optical system structural parameters, and can perform differentiated control for different postures.

Description

Technical Field

[0001] The present invention belongs to the field of optical design technology, and in particular relates to an optical system optimization design method for differentially controlling posture sensitivity. Background Art

[0002] With the development of space astronomical observations, high-resolution Earth remote sensing, and space laser communications, reflective space optical systems have gained widespread application, and optical designers are striving to improve optical system performance in multiple dimensions. However, one of the main trade-offs for improved optical system performance is increased system complexity (such as the use of more reflective surfaces and free-form surfaces), which presents challenges in system alignment and image quality maintenance. To reduce this difficulty and the cost of maintaining image quality, optical designers aim to reduce the sensitivity of each degree of freedom in the system while maintaining system performance. A series of low-sensitivity optical system design schemes have been proposed. Typical desensitization methods currently include direct optimization and multiple structure methods.

[0003] Desensitization methods such as direct optimization and multiple structural methods have reduced the sensitivity of optical systems to a certain extent. However, existing methods have the following problems in practical applications: First, existing methods evaluate or constrain component pose sensitivity based on ray tracing results, but have not yet directly established an analytical relationship between optical component structural parameters and their pose sensitivity. Consequently, it is impossible to directly control the optimization of optical system structural parameters by constraining component pose sensitivity, resulting in low optimization efficiency and long optimization time. Second, existing low-sensitivity optical system design methods consider component-level tolerance desensitization, that is, reducing the sensitivity of each degree of freedom of a component while simultaneously constraining the system aberrations to be in a good state at different pose states. This can easily lead the optimization process to local extremes, making it difficult to obtain the optimal design solution. In addition, the pose sensitivity requirements of the same optical component in actual optical systems are related to the structural design level, and low sensitivity in all dimensions is not required. Therefore, rationally controlling and designing different pose sensitivities can effectively improve system development efficiency and ensure system performance. Third, the optical design software has highly versatile operands, but when meeting specific needs, multiple operands need to be applied in combination. Not only is the evaluation function difficult to construct, but the running process is also time-consuming, which increases the optimization time of the optical system.

[0004] Therefore, there is an urgent need for an optimized design scheme for reflective space optical systems that can achieve differentiated control of the sensitivity of each posture. Summary of the Invention

[0005] In view of this, the present invention aims to provide an optical system optimization design method for differentially controlling posture sensitivity. For different postures, the relationship between the misalignment amount and the optical system structural parameters is directly constructed, without the need for multiple optimization adjustments of the optical system or repeated calls to sensitivity analysis, thus solving the problem of difficulty in efficiently and differentially controlling the sensitivity of each posture during the optical system design optimization process.

[0006] To achieve the above object, the technical solution created by the present invention is implemented as follows:

[0007] The present invention provides an optical system optimization design method for differentially controlling posture sensitivity, comprising:

[0008] Based on the vector aberration theory, the aberration of the optical system under the condition of posture misalignment is obtained;

[0009] According to the aberration of the optical system under the condition of posture misalignment, the sensitivity of the specific type of aberration coefficient of any field point to different posture misalignment is obtained;

[0010] An arbitrary single-field-of-view posture sensitivity evaluation function is constructed based on the sensitivity of the specific type of aberration coefficient of any field of view point to different posture misalignments. A full-field-of-view posture sensitivity evaluation function of the optical system is constructed by a weighted method. The full-field-of-view posture sensitivity evaluation function is used to perform differentiated optimization of the posture sensitivity of the optical system.

[0011] Preferably, the optical system is a reflective optical system.

[0012] Preferably, before obtaining the optical system aberrations under the condition that there is a posture misalignment amount, the method further includes: obtaining the optical system aberrations under the condition that there is no posture misalignment amount.

[0013] Preferably, the optical system aberration without posture misalignment for:

[0014] ;

[0015] in, represents the normalized field of view vector, represents the normalized pupil vector, represents the normalized pupil off-axis vector, represents the number of optical surfaces in an optical system, 、 、 、 and is a constant, , , Indicates the Aberration coefficients for specific types of aberrations on optical surfaces, Indicates the The aberration field center offset vector of each optical surface.

[0016] Preferably, the optical system aberration under the condition of posture misalignment is for:

[0017] ;

[0018] in, Indicates the The relationship function between the astigmatism coefficient of an optical surface and the amount of posture misalignment is: Indicates the The relationship function between the spherical aberration coefficient of an optical surface and the posture misalignment is: Indicates the The relationship function between the coma coefficient of an optical surface and the posture misalignment is: represents the normalized field of view vector, represents the normalized pupil vector, represents the normalized pupil off-axis vector, Indicates the The aberration field center offset vector of each optical surface, represents the astigmatism of the optical system, represents the coma of the optical system, Indicates other types of aberration coefficients.

[0019] Preferably, the solution is obtained by Seidel aberration theory 、 and .

[0020] Preferably, the sensitivity of a specific type of aberration coefficient at any point in the field of view to different amounts of posture misalignment is The calculation formula is:

[0021] ;

[0022] in, Represents any point in the normalized field of view , represents any type of aberration coefficient, Indicates the amount of posture misalignment.

[0023] Preferably, any type of aberration coefficient The value is astigmatism or coma, posture misalignment It includes the eccentricity of the optical surface along the x-axis, the eccentricity along the y-axis, the tilt around the x-axis, the tilt around the y-axis, and the translation along the z-axis.

[0024] Preferably, the single field of view pose sensitivity evaluation function for:

[0025] ;

[0026] in, Indicates the amount of posture misalignment The weighting factor for degrees of freedom, Indicates the field of view point Any The target value of the pose sensitivity, Indicates the amount of posture misalignment No. degrees of freedom vector, represents the astigmatism component, , represents the coma component, .

[0027] Preferably, the full field of view posture sensitivity evaluation function for:

[0028] ;

[0029] Among them, m and n represent the number of single field of view points sampled in the x and y directions of the full field of view, respectively. Indicates the field of view point Weighting factor for the sensitivity constraint strength of each pose in the full field of view.

[0030] Compared with the prior art, the present invention can achieve the following beneficial effects:

[0031] Compared to traditional methods that require tolerance analysis (posture misalignment) of the optical system and repeated iterative optimization, the present invention eliminates the need for multiple optimization adjustments or repeated sensitivity analysis. Instead, it directly establishes the relationship between posture misalignment and optical system structural parameters, significantly improving system optimization efficiency and reducing system design and optimization time, enabling rapid implementation of a satisfactory optical design. Furthermore, by establishing an analytical relationship based on vector aberration theory and implementing differentiated control for different postures, the present invention more comprehensively considers the performance of the optical system in various postures, effectively avoiding local extrema, improving the accuracy and reliability of optimization, and making it easier to find the global optimal solution.

[0032] This invention constructs a posture sensitivity evaluation function that can more precisely control the posture sensitivity of optical components, reducing the degradation of imaging quality caused by component posture errors and improving the overall performance and stability of the optical system. Furthermore, compared to traditional sensitivity analysis methods that require repeated software calls, this invention converts the posture sensitivity evaluation function into a macro language and loads it into the optical system optimization evaluation function, eliminating the tedious process of direct software calls, simplifying programming, reducing maintenance costs, and improving system stability and maintainability. BRIEF DESCRIPTION OF THE DRAWINGS

[0033] The accompanying drawings, which constitute part of the present invention, are intended to provide a further understanding of the present invention. The exemplary embodiments of the present invention and their descriptions are intended to explain the present invention and do not constitute an undue limitation of the present invention. In the accompanying drawings:

[0034] Figure 1 is a flow chart of an optical system optimization design method for differentially controlling posture sensitivity provided by an embodiment of the present invention;

[0035] Figure 2 is a schematic diagram of the initial structure of an optical system provided according to an embodiment of the present invention;

[0036] Figure 3 3 is a schematic diagram of field of view point sampling selection according to an embodiment of the present invention. DETAILED DESCRIPTION

[0037] In order to make the purpose, technical solutions and advantages of the present invention more clearly understood, the present invention is further described in detail below in conjunction with the accompanying drawings and specific embodiments. It should be understood that the specific embodiments described herein are only used to explain the present invention and do not constitute a limitation to the present invention. Similar elements in different embodiments use associated similar element numbers. In the following embodiments, many detailed descriptions are intended to enable the present invention to be better understood. However, those skilled in the art can easily recognize that some of the features can be omitted in different situations, or can be replaced by other elements, materials, or methods. In some cases, some operations related to the present invention are not shown or described in the specification. This is to avoid the core part of the present invention being overwhelmed by too much description. For those skilled in the art, it is not necessary to describe these related operations in detail. They can fully understand the related operations based on the description in the specification and the general technical knowledge in the art.

[0038] It should be noted that, in the absence of conflict, the embodiments and features of the embodiments of the present invention can be combined with each other to form various implementation methods. At the same time, the steps or actions in the method description can also be interchanged or adjusted in a manner that is obvious to those skilled in the art. Therefore, the various orders in the description and the drawings are only for the purpose of clearly describing a certain embodiment and are not intended to be a required order, unless otherwise specified that a certain order must be followed.

[0039] In the description of the present invention, it should be understood that the terms "center", "longitudinal", "lateral", "length", "width", "thickness", "up", "down", "front", "back", "left", "right", "vertical", "horizontal", "top", "bottom", "inside", "outside", "clockwise", "counterclockwise" and the like indicate positions or positional relationships based on the positions or positional relationships shown in the accompanying drawings, and are only for the convenience of describing the present invention and simplifying the description, rather than indicating or implying that the device or element referred to must have a specific orientation, be constructed and operated in a specific orientation, and therefore cannot be understood as a limitation on the present invention. In addition, the terms "first", "second", etc. are only used for descriptive purposes and cannot be understood as indicating or implying relative importance or implicitly indicating the number of the indicated technical features. Therefore, features defined as "first", "second", etc. may explicitly or implicitly include one or more of the features. In the description of the present invention, unless otherwise specified, "multiple" means two or more.

[0040] In the description of the present invention, it should be noted that, unless otherwise expressly specified or limited, the terms "installed," "connected," and "connected" should be understood in a broad sense. For example, they can refer to fixed connections, detachable connections, or integral connections; they can refer to mechanical connections or electrical connections; they can refer to direct connections or indirect connections through an intermediate medium; and they can refer to internal connections between two components. Those skilled in the art can understand the specific meanings of the above terms in the present invention based on specific circumstances.

[0041] The present invention will be described in detail below with reference to the accompanying drawings and in combination with embodiments.

[0042] See also Figure 1 In one embodiment of the present invention, to address the difficulty in efficiently and differentially controlling the sensitivity of various poses during optical system design optimization, an optical system optimization design method for differentially controlling pose sensitivity is proposed. This method directly constructs an analytical relationship between the structural parameters of an optical element and the pose sensitivity of the element. By directly invoking the analytical relationship, multiple optimization iterations and repeated sensitivity analysis processes are eliminated. The optical system optimization design method specifically includes the following steps:

[0043] Step 1: First, determine the initial structure of the optical system based on the design requirements. Typical inputs include: first-order parameter requirements, structural dimensions, image quality, and position sensitivity. First-order parameter requirements include requirements for basic optical parameters such as focal length and power, while image quality requirements include requirements for resolution, contrast, and aberrations. Based on these requirements, establish the initial structure of the optical system to be designed. This initial structure specifically includes determining the number and type (e.g., lenses or mirrors), basic parameters, and positions of the optical elements.

[0044] The process of establishing the initial structure can directly adopt existing methods. For example, based on the three-order aberration theory, a coaxial system, or an off-axis aperture, an off-axis field of view system, and other parameters such as the aperture position and the field of view focal length can be determined. The initial structure can be further modified and adjusted according to theoretical calculations and preliminary designs to meet the design requirements.

[0045] Specifically, in the embodiment of the present invention, the design is optimized as follows Figure 2 Taking the coaxial two-mirror optical system shown in the figure as an example, the process of determining the initial structure of the optical system is described as follows:

[0046] According to the requirements of optical design, the type of optical system is determined, such as Cassegrain structure, that is, the coaxial two-mirror optical system includes Figure 2 Where M represents the primary mirror and S represents the secondary mirror. Then determine the curvature radius of the primary mirror M and the secondary mirror S, which are expressed as and , and the shading ratio of the primary and secondary mirrors is expressed as Indicates that the occlusion ratio It refers to the ratio of the secondary mirror aperture to the primary mirror aperture. represents the semi-aperture of the primary mirror M, represents the semi-aperture of the secondary mirror S, represents the object distance of the secondary mirror S, represents the image distance of the secondary mirror S, m represents the distance between the primary mirror M and the secondary mirror S, Indicates the focal length of the main mirror M.

[0047] After the above parameters are defined, the parameter relationship between the primary mirror M and the secondary mirror S is established. Specifically, assuming that the object is at infinity and the aperture is located on the primary mirror N, the quadratic surface coefficients of the primary mirror M and the secondary mirror S are and , the magnification of the secondary mirror S is β, then the shading ratio and magnification Need to meet:

[0048] ;

[0049] in, represents the second specular incident angle, Represents the second mirror exit angle.

[0050] By Gauss's formula It can also be deduced that:

[0051] .

[0052] According to aberration theory, the spherical aberration of the system can be obtained , coma , astigmatism and the scene music The expression is:

[0053] .

[0054] According to the selection of optical system, such as Cassegrain structure, the parameters can be determined 、 、 and The value of .

[0055] For off-axis systems, it is also necessary to determine the off-axis amount of the secondary mirror S The relationship:

[0056] ;

[0057] in, Indicates the margin left to prevent mechanical structure from interfering with the optical path.

[0058] Set the distance between the primary and secondary mirrors to m, and the deflection angle of the primary mirror to , then the main ray deflection angle is Therefore, the deflection of the secondary mirror S is It can be expressed as:

[0059] .

[0060] So far, the relationship between the primary and secondary mirrors has been constructed according to the traditional method, and the initial optical system has been determined.

[0061] Step 2: Perform preliminary optimization of the system image quality.

[0062] First, based on actual conditions, some optical system structural parameters are set as variables. For example, in the aforementioned coaxial two-mirror optical system, parameters such as the primary and secondary mirrors' curvature radius, thickness, conic coefficient, quadratic coefficient, and the distance between the primary and secondary mirrors are set as variables. These parameters can be varied within a certain range to optimize the system's image quality. The component surface shape can also be adjusted, such as from a spherical surface to an aspheric surface or a free-form surface.

[0063] Based on the image quality requirements, a preliminary image quality evaluation function is constructed. This function typically includes indicators such as aberration size, image plane flatness, and energy concentration. Traditional methods are used to construct the evaluation function, and variable parameters are adjusted through design software to minimize the evaluation function, completing the initial optimization of the system's image quality.

[0064] Step 3: Based on the vector aberration theory and the pupil coordinate transformation principle, establish the wave aberration model. Under the condition of no posture misalignment, the wave aberration of the optical system is Expressed as:

[0065] ;

[0066] in, represents the normalized field of view vector, represents the normalized pupil vector, represents the normalized pupil off-axis vector, represents the number of optical surfaces in an optical system, 、 、 、 and is a constant, , , Indicates the The aberration coefficients of specific types of aberrations on each optical surface are related to the structural parameters of the optical system. Indicates the The aberration field center offset vector of each optical surface, is a function of eccentricity and tilt along the x and y axes, is the spherical aberration field eccentricity vector, is the eccentricity vector of the aspherical aberration field, both of which are related to the structural parameters of the optical system.

[0067] Furthermore, based on the aberration expression of the optical system without posture misalignment, considering the low-order aberrations, the aberration of the optical system with posture misalignment can be obtained: for:

[0068] ;

[0069] in, Indicates the The relationship function between the astigmatism coefficient of an optical surface and the amount of posture misalignment is: Indicates the The relationship function between the spherical aberration coefficient of an optical surface and the posture misalignment is: Indicates the The relationship function between the coma coefficient of an optical surface and the posture misalignment is: represents the normalized field of view vector, represents the normalized pupil vector, represents the normalized pupil off-axis vector, Indicates the The aberration field center offset vector of each optical surface, represents the astigmatism of the optical system, represents the coma of the optical system, Indicates other types of aberration coefficients. 、 and Specifically, the solution can be obtained through traditional Seidel aberration theory. The specific solution process is a prior art and is beyond the research and protection scope of the present invention, so it will not be described in detail here.

[0070] Obtaining the aberration of the optical system under the condition of posture misalignment After the expression, the sensitivity of the specific type of wave aberration coefficient at any point in the field of view to each posture misalignment can be obtained, and the obtained sensitivity is directly related to the structural parameters of the optical system, directly constructing the relationship between posture sensitivity and the structural parameters of the optical system. Specifically, the sensitivity of the specific type of aberration coefficient at any point in the field of view to different posture misalignments can be obtained. The calculation formula is:

[0071] ;

[0072] in, Represents any point in the normalized field of view , that is, single field of view, represents any type of aberration coefficient, specifically astigmatism ( ) and coma ( ), Indicates the amount of posture misalignment, It includes the misalignment of the optical surface along the x-axis, the eccentricity along the y-axis, the tilt around the x-axis, the tilt around the y-axis, and the translation along the z-axis, a total of five degrees of freedom.

[0073] Sensitivity The calculation formula expresses the analytical relationship between the system posture sensitivity and the system structure parameters. Through this calculation formula, a specific field of view sensitivity evaluation function can be further constructed to achieve differentiated control of posture sensitivity in each dimension. For a single field of view point, a single field of view posture sensitivity evaluation function is constructed. for:

[0074] ;

[0075] in, Indicates the amount of posture misalignment The weighting factor for degrees of freedom, Indicates the field of view point Any The target value of the pose sensitivity, Indicates the amount of posture misalignment No. degrees of freedom vector, represents the astigmatism component, , represents the coma component, .

[0076] Based on the single-view pose sensitivity evaluation function, multiple view points are selected at equal intervals within the effective view field, such as Figure 3 As shown, m points can be selected in the x direction and n points can be selected in the y direction. A single field of view evaluation function is constructed for each field of view point, and then the evaluation function values ​​of all field of view points are weighted and added together. The constraint strength of each field of view point on each posture sensitivity is controlled by the weight factor to obtain the full field of view posture sensitivity evaluation function. for:

[0077] ;

[0078] Among them, m and n represent the number of single field of view points sampled in the x and y directions of the full field of view, respectively. Indicates the field of view point Weighting factor for the sensitivity constraint strength of each pose in the full field of view.

[0079] To facilitate their use during optical design, the full-field-of-view pose sensitivity evaluation function and the single-field-of-view pose sensitivity evaluation function are converted into a macro language and loaded into the optical system optimization evaluation function. For example, in Zemax software, the pose sensitivity evaluation function is coded using its macro language and included as one of the optimization objectives, participating in the optical system optimization process along with the traditional image quality evaluation function.

[0080] S4: Use the posture sensitivity evaluation function to perform differentiated posture sensitivity optimization control on the optical system. The specific process includes:

[0081] Firstly, according to the requirements of engineering applications for each posture sensitivity, the target value of posture sensitivity, i.e., the sensitivity threshold, is reasonably set, and the macro language evaluation item is loaded into the system optimization evaluation function. The optical system is preliminarily optimized using the posture sensitivity evaluation function and the traditional image quality evaluation function.

[0082] After the initial optimization, determine whether the pose sensitivity and image quality meet the set indicators. If the pose sensitivity meets the indicators, output the design results; if the pose sensitivity does not meet the indicators, return to step 3 and analyze the reasons. It may be insufficient field of view sampling or unreasonable weight setting. Adjust the field of view sampling and weight size and re-optimize until the indicators are met.

[0083] Through the above implementation steps, differentiated control of the optical system's posture sensitivity can be achieved, the performance and stability of the optical system can be improved, and different application requirements can be met.

[0084] In short, the above description is only a preferred embodiment of this specification and is not intended to limit the scope of protection of this specification. Any modifications, equivalent replacements, improvements, etc. made within the spirit and principles of this specification shall be included in the scope of protection of this specification.

[0085] The systems, devices, modules, or units described in one or more of the above embodiments may be implemented by a computer chip or entity, or by a product having a certain function. A typical implementation device is a computer. Specifically, the computer may be, for example, a personal computer, a laptop computer, a cellular phone, a camera phone, a smartphone, a personal digital assistant, a media player, a navigation device, an email device, a game console, a tablet computer, a wearable device, or a combination of any of these devices.

[0086] It should also be noted that the terms "comprises," "includes," or any other variations thereof are intended to encompass non-exclusive inclusion, such that a process, method, commodity, or apparatus that includes a series of elements includes not only those elements but also other elements not explicitly listed, or includes elements inherent to such process, method, commodity, or apparatus. In the absence of further limitations, an element defined by the phrase "comprises a ..." does not exclude the presence of other identical elements in the process, method, commodity, or apparatus that includes the element.

[0087] The various embodiments in this specification are described in a progressive manner. Similar parts between the various embodiments can be referred to in conjunction with each other. Each embodiment focuses on the differences between the other embodiments. In particular, the system embodiments are generally similar to the method embodiments, so the description is relatively simple. For relevant parts, refer to the description of the method embodiments.

[0088] The foregoing description of this specification describes specific embodiments. Other embodiments are within the scope of the appended claims. In some cases, the actions or steps recited in the claims can be performed in an order different from that described in the embodiments and still achieve the desired results. Furthermore, the processes depicted in the accompanying drawings do not necessarily require the specific order shown or the sequential order to achieve the desired results. In certain embodiments, multitasking and parallel processing are also possible or may be advantageous.

Claims

1. An optical system optimization design method for differentially controlling posture sensitivity, characterized in that: include: Based on the vector aberration theory, the aberration of the optical system under the condition of posture misalignment is obtained; Obtaining the sensitivity of a specific type of aberration coefficient of any field point to different posture misalignment amounts based on the optical system aberration under the condition that the posture misalignment amount exists; Constructing an arbitrary single-field-of-view posture sensitivity evaluation function based on the sensitivity of the specific type of aberration coefficient of the arbitrary field of view point to different posture misadjustments, constructing a full-field-of-view posture sensitivity evaluation function of the optical system in a weighted manner, and using the full-field-of-view posture sensitivity evaluation function to perform differentiated optimization on the posture sensitivity of the optical system; The single field of view posture sensitivity evaluation function for: ； in, Indicates the amount of posture misalignment The weighting factor for degrees of freedom, Indicates the field of view point Any The target value of the pose sensitivity, Indicates the amount of posture misalignment No. degrees of freedom vector, represents the astigmatism component, , represents the coma component, , Indicates the The relationship function between the astigmatism coefficient of an optical surface and the amount of posture misalignment is: Indicates the The relationship function between the spherical aberration coefficient of an optical surface and the posture misalignment is: Indicates the The relationship function between the coma coefficient of an optical surface and the posture misalignment is: represents the normalized field of view vector, represents the normalized pupil vector, represents the normalized pupil off-axis vector, Indicates the The aberration field center offset vector of each optical surface.

2. The optical system optimization design method for differentially controlling posture sensitivity according to claim 1, characterized in that: The optical system is a reflective optical system.

3. The optical system optimization design method for differentially controlling posture sensitivity according to claim 1, characterized in that: Before obtaining the optical system aberration under the condition that the posture misalignment exists, the method further includes: obtaining the optical system aberration under the condition that there is no posture misalignment.

4. The optical system optimization design method for differentially controlling posture sensitivity according to claim 3, characterized in that: The aberration of the optical system under the condition of no posture misalignment for: ； in, represents the normalized field of view vector, represents the normalized pupil vector, represents the normalized pupil off-axis vector, represents the number of optical surfaces in an optical system, 、 、 、 and is a constant, , , Indicates the Aberration coefficients for specific types of aberrations on optical surfaces, Indicates the The aberration field center offset vector of each optical surface.

5. The optical system optimization design method for differentially controlling posture sensitivity according to claim 1, characterized in that: The aberration of the optical system under the condition of the presence of posture misalignment for: ； in, Indicates the The relationship function between the astigmatism coefficient of an optical surface and the amount of posture misalignment is: Indicates the The relationship function between the spherical aberration coefficient of an optical surface and the posture misalignment is: Indicates the The relationship function between the coma coefficient of an optical surface and the posture misalignment is: represents the normalized field of view vector, represents the normalized pupil vector, represents the normalized pupil off-axis vector, Indicates the The aberration field center offset vector of each optical surface, represents the astigmatism of the optical system, represents the coma of the optical system, Indicates other types of aberration coefficients.

6. The optical system optimization design method for differentially controlling posture sensitivity according to claim 5, characterized in that: Solved by Seidel aberration theory 、 and .

7. The optical system optimization design method for differentially controlling posture sensitivity according to claim 5, characterized in that: Sensitivity of a specific type of aberration coefficient at any point in the field of view to different amounts of posture misalignment The calculation formula is: ； in, Represents any point in the normalized field of view , represents any type of aberration coefficient, Indicates the amount of posture misalignment.

8. The optical system optimization design method for differentially controlling posture sensitivity according to claim 7, characterized in that: Aberration coefficients of any type The value is astigmatism or coma, posture misalignment It includes the eccentricity of the optical surface along the x-axis, the eccentricity along the y-axis, the tilt around the x-axis, the tilt around the y-axis, and the translation along the z-axis.

9. The optical system optimization design method for differentially controlling posture sensitivity according to claim 6, characterized in that: The full field of view posture sensitivity evaluation function for: ； Among them, m and n represent the number of single field of view points sampled in the x and y directions of the full field of view, respectively. Indicates the field of view point Weighting factor for the sensitivity constraint strength of each pose in the full field of view.

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