Optical system design method and device with low optical material cost

Abstract

The invention relates to the technical field of optical design, and discloses a method and device for designing an optical system with low optical material cost, and the method comprises the steps: obtaining an initial system structure meeting the requirements of a modulation transfer function according to the design indexes of the optical system; the initial system structure is optimized according to a material cost evaluation function of the optical system, so that the numerical value of the material cost evaluation function of the optical system is smaller than 1, and the variable quantity of the modulation transfer function is smaller than a preset value. Wherein the price volume influence factor is related to the relative price and the lens volume of the lens; the tolerance impact factor is related to a refractive index error sensitivity of the lens. According to the method, on the basis of a traditional optimization method, the relative price, tolerance and volume of the lens material are combined, and the material cost evaluation function is used for representing the cost in the stage of customizing the lens glass material, so that the design of an optical system is guided in the process of optimizing the cost of the optical material.

Description

Technical Field

[0001] The present invention relates to the technical field of optical design, and in particular to a method and device for designing an optical system with low optical material cost. Background Art

[0002] The realization of an optical system is not only related to the performance of the system, but also closely related to the system cost. The cost of the system involves multiple factors, including the system's tolerance, size, material, surface shape, etc. Optical designers try to reduce the cost of the system as much as possible to improve the economic benefits of the optical system manufacturing process while ensuring that the system is feasible.

[0003] For some mass-produced optical systems, the amount of material required is usually large. Some optical glass manufacturers have a minimum order weight for their glass materials. For some systems with strict design specifications, some more expensive glasses, such as CAF2, are used. Whether it is for mass production or systems with strict specifications, optical glass is a key factor affecting the price of the system. The price of lenses made of different materials varies greatly. For some more expensive glasses, the price increases exponentially as the volume increases. The subsequent glass processing and assembly stages are based on this, and the feasibility of the system is closely related to the choice of optical glass.

[0004] At present, in the tolerance allocation stage, the research on the cost of optical systems mainly focuses on how to reasonably allocate tolerances to achieve better economic benefits. In the design stage, the research focuses on position errors, such as eccentricity, tilt tolerance and cost, that is, through the design optimization method of relaxing tolerances, the purpose of relaxing tolerances is achieved. This part of the research is mostly based on the tolerance of the assembly process, rather than the research on the impact of glass material tolerances on the cost of optical systems. Summary of the invention

[0005] The purpose of the present invention is to provide an optical system design method and device with low optical material cost, which can solve at least one of the above-mentioned technical problems. The specific solution is as follows: According to the specific embodiments disclosed in the present invention, the first aspect of the present invention discloses a method for designing an optical system with low optical material cost, comprising: obtaining an initial system structure that meets the requirements of a modulation transfer function according to design indicators of the optical system; Optimizing the initial system structure according to the material cost evaluation function of the optical system, so that the value of the material cost evaluation function of the optical system is less than 1, and the variation of the modulation transfer function is less than a preset value; The expression of the material cost evaluation function of the optical system is: ; in,N is the total number of lenses in the optical system, k is the number of system groups, k≥0; α is the weight coefficient of the price volume influencing factor; β is the weight coefficient of the tolerance influencing factor, α + β =1; After normalization i The price and volume factors of each lens; After normalization i The tolerance influencing factors of each lens; The price-volume impact factor is related to the relative price of the lens and the lens volume; The tolerance influencing factors are related to the refractive index error sensitivity of the lens, the lens volume and the air space.

[0006] Preferably, the expression of the price volume impact factor is: ; in, is the relative price of the lens, is the lens volume; The relative price of the lens is obtained from the corresponding optical material manufacturer; The lens volume is the maximum outer contour of the lens, which is related to the radius of curvature and the center thickness of the lens.

[0007] Preferably, the expression of the tolerance influencing factor is: ; in, F is the total field of view, f is the field of view; R and A are the total number of rings and total number of arms of pupil sampling points, respectively; r and a are the number of rings and arms of the pupil sampling points, respectively; is the change in the optical path difference at the pupil sampling point caused by the refractive index of the current lens.

[0008] Preferably, the initial system structure is optimized according to the material cost evaluation function of the optical system so that the value of the material cost evaluation function of the optical system is less than 1 and the variation of the modulation transfer function is less than a preset value, including: Taking the radius of curvature, center thickness and air spacing of each lens in the initial system structure as optimization variables, calculating the value of the material cost evaluation function of the optical system and the tolerance influence factor and price volume influence factor of each lens; Replacing lenses with high tolerance influence factors and / or price and volume influence factors reduces the value of the material cost evaluation function of the optical system.

[0009] Preferably, it also includes: taking a preset value of the change in the modulation transfer function as a critical condition, when the change in the modulation transfer function of the optical system after replacing the lens material is less than the preset value, continuing to replace lenses with high tolerance influence factors and / or price volume influence factors, so that the value of the material cost evaluation function of the optical system decreases, until the change in the modulation transfer function increases to close to the preset value.

[0010] Preferably, the weight coefficient α = β= 0.5.

[0011] Preferably, the initial system structure is optimized according to the material cost evaluation function of the optical system so that the value of the material cost evaluation function of the optical system is less than 1 and the variation of the modulation transfer function is less than a preset value, including: Taking the radius of curvature, center thickness and air spacing of each lens in the initial system structure as optimization variables, calculating the value of the material cost evaluation function and the price volume influencing factor of the optical system; The lens with a high price-volume influence factor is replaced, so that the value of the material cost evaluation function of the optical system is reduced, and the change of the modulation transfer function is less than the preset value.

[0012] Preferably, the initial system structure is optimized according to the material cost evaluation function of the optical system so that the value of the material cost evaluation function of the optical system is less than 1 and the variation of the modulation transfer function is less than a preset value, including: Taking the curvature radius, center thickness and air spacing of each lens in the initial system structure as optimization variables, calculating the value of the material cost evaluation function of the optical system and the tolerance influencing factor of each lens; The lens with a high tolerance influence factor is replaced so that the variation of the modulation transfer function is less than the preset value.

[0013] According to the specific embodiments disclosed in the present invention, the second aspect of the present invention discloses an optical system design device with low optical material cost, comprising: an input unit, which obtains an initial system structure that meets the requirements of the modulation transfer function according to the design index of the optical system; An optimization unit, which optimizes the initial system structure according to the material cost evaluation function of the optical system, so that the value of the material cost evaluation function of the optical system is less than 1, and the variation of the modulation transfer function is less than a preset value; The expression of the material cost evaluation function of the optical system is: ; in, N is the total number of lenses in the optical system, k is the number of system groups, k ≥0; α is the weight coefficient of the price volume influencing factor; β is the weight coefficient of the tolerance influencing factor, α + β =1; After normalization i The price and volume factors of each lens; After normalization i The tolerance influencing factors of each lens; The price-volume impact factor is related to the relative price and volume of the lens; The tolerance influencing factors are related to the refractive index error sensitivity of the lens, the lens volume and the air space.

[0014] According to the specific embodiments disclosed in the present invention, the third aspect of the present invention discloses a computer-readable storage medium having a computer program stored thereon, wherein when the program is executed by a processor, the method for editing the content in a document as described in any one of the above items is implemented.

[0015] According to the specific embodiments disclosed in the present invention, in a fourth aspect, the present invention discloses an electronic device, comprising: one or more processors; a storage device for storing one or more programs, when the one or more programs are executed by the one or more processors, the one or more processors implement the method for editing the content in a document as described in any one of the above items.

[0016] Compared with the prior art, the above solution disclosed in the present invention has at least the following beneficial effects: Based on the traditional optimization method, the present invention combines the relative price of lens materials and uses a material cost evaluation function to characterize the cost at the stage of customizing lens glass materials, thereby guiding the design of optical systems in the process of optimizing optical material costs. BRIEF DESCRIPTION OF THE DRAWINGS

[0017] The drawings herein are incorporated into the specification and constitute a part of the specification, showing embodiments consistent with the disclosure of the present invention, and together with the specification, are used to explain the principles disclosed in the present invention. Obviously, the drawings described below are only some embodiments disclosed in the present invention, and for ordinary technicians in this field, other drawings can be obtained based on these drawings without creative work. In the drawings: Figure 1 A comparison chart of relative prices and material parameters of a lens manufacturer in the prior art; Figure 2 This is a schematic diagram of the material differences caused by lens shape differences; Figure 3 A flow chart of a method for designing an optical system with low optical material cost according to the present invention; Figure 4 A flowchart of another embodiment of the present invention; Figure 5 A schematic diagram of a modulation transfer function of a system in each optimization stage according to an embodiment of the present invention; Figure 6 A line graph showing changes in the cost function value and the modulation transfer function during the optimization process of one embodiment of the present invention; Figure 7 A schematic diagram of an optical system design device with low optical material cost according to the present invention; Figure 8 A schematic diagram of the structure of an electronic device provided by an embodiment of the present invention. DETAILED DESCRIPTION

[0018] In order to make the purpose, technical scheme and advantages disclosed in the present invention clearer, the present invention will be further described in detail below in conjunction with the accompanying drawings. Obviously, the described embodiments are only part of the embodiments disclosed in the present invention, rather than all the embodiments. Based on the embodiments disclosed in the present invention, all other embodiments obtained by ordinary technicians in this field without creative work are within the scope of protection disclosed in the present invention.

[0019] The terms used in the embodiments disclosed in the present invention are only for the purpose of describing specific embodiments, and are not intended to limit the disclosure of the present invention. The singular forms "a", "said" and "the" used in the embodiments disclosed in the present invention and the appended claims are also intended to include plural forms, unless the context clearly indicates other meanings, and "multiple" generally includes at least two.

[0020] It should be understood that the term "and / or" used in this article is only a description of the association relationship of associated objects, indicating that there can be three relationships. For example, A and / or B can represent: A exists alone, A and B exist at the same time, and B exists alone. In addition, the character " / " in this article generally indicates that the associated objects before and after are in an "or" relationship.

[0021] It should be understood that although the terms first, second, third, etc. may be used to describe in the disclosed embodiments of the present invention, these descriptions should not be limited to these terms. These terms are only used to distinguish the descriptions. For example, without departing from the scope of the disclosed embodiments of the present invention, the first may also be referred to as the second, and similarly, the second may also be referred to as the first.

[0022] It should also be noted that the term "includes", "comprising" or any other variation thereof is intended to cover non-exclusive inclusion, so that a commodity or device including a series of elements includes not only those elements, but also other elements not explicitly listed, or also includes elements inherent to such commodity or device. In the absence of more restrictions, the elements defined by the sentence "comprising a ..." do not exclude the existence of other identical elements in the commodity or device including the elements.

[0023] For transmissive optical systems, the primary factor affecting the cost is the cost of optical glass materials. The type of glass material and the tolerance level have a great impact on the price of optical glass. In addition, the size of optical glass also affects the cost of the optical system.

[0024] The relative price of optical materials refers to the price ratio of a certain optical material to a benchmark material. This relative price is usually used to compare the cost differences of different optical materials, helping optical designers to comprehensively consider performance and cost when selecting materials. It can be obtained from optical material manufacturers.

[0025] Regarding the relative price of glass materials, the relative price of different grades of glass varies greatly. Figure 1 shows the relationship between the relative price, refractive index and Abbe number of different grades of glass in Chengdu Guangming. Taking H-K9L as the benchmark glass, its relative price is 10, and the price difference between different glasses can reach more than 30 times.

[0026] Regarding the amount of glass material used, the amount of glass material used is not only related to the actual volume of the lens, but also to the shape of the lens. As shown in Figure 2, lenses with the same focal length but different shapes have the same aperture and a thickness difference of 1.4 times.

[0027] Therefore, by comprehensively controlling the size, relative price, etc. of the materials, the cost of the optical system can be further effectively managed.

[0028] Refractive index error sensitivity refers to the degree of influence of refractive index deviation on system performance in an optical system. Refractive index error will cause changes in system imaging performance and affect the imaging clarity of the optical system. Therefore, the refractive index of glass materials should also be considered when designing optical systems to reduce the refractive index sensitivity of optical glass materials.

[0029] In summary, the present invention provides an optical system design method with low optical material cost. By constructing a material cost evaluation function of the optical system, the optical system design is guided in the process of optimizing the optical material cost, so as to reduce the optical material cost while ensuring the performance and image quality of the optical system.

[0030] The following is combined with Figure 3-8 Detailed description of the alternative embodiments of the present disclosure.

[0031] like Figure 3 The method flow chart of one embodiment of the present invention comprises the following steps: Step S102: obtaining an initial system structure that meets the requirements of the modulation transfer function according to the design index of the optical system; Step S104, optimizing the initial system structure according to the material cost evaluation function of the optical system, so that the value of the material cost evaluation function of the optical system is less than 1, and the variation of the modulation transfer function is less than a preset value; The expression of the material cost evaluation function of the optical system is: ; in, N is the total number of lenses in the optical system, k ≥0, k =0 is the initial system; α is the weight coefficient of the price volume influencing factor; β is the weight coefficient of the tolerance influencing factor, α + β =1; After normalization i The price and volume factors of each lens; After normalization i The tolerance influencing factors of each lens; The price-volume impact factor is related to the relative price of the lens and the volume of the lens.

[0032] Specifically, i The expression of the price and volume influencing factor of the lens is: ; in, is the relative price of the lens, is the lens volume; The relative prices of lenses are obtained from the corresponding lens manufacturers. Lenses made of different glass materials have different refractive indices, Abbe numbers and different relative prices.

[0033] The lens volume is the maximum outer contour of the lens. By controlling the maximum outer contour of the lens, that is, by increasing the utilization rate of the material, the material cost can be controlled. In this embodiment, the maximum outer contour is determined by the curvature radius and the center thickness of the lens.

[0034] In this embodiment, the tolerance of the glass material is mainly evaluated for the refractive index error. In the optimization process, the curvature radius, lens thickness, lens material and air gap of the system are regulated by controlling the tolerance influencing factors.

[0035] Further, i The expression of the tolerance influence factor of a lens is: ; in, F is the total field of view, f is the field of view; R and A are the total number of rings and total number of arms of pupil sampling points, respectively; r and a are the number of rings and arms of the pupil sampling points, respectively; is the change in the optical path difference at the pupil sampling point caused by the refractive index of the current lens.

[0036] Furthermore, when constructing the material cost evaluation function of the optical system, the price and volume factors and tolerance influencing factors The magnitude of is different, so the two are normalized and the following expression exists: ; in, and After k +1 price volume influencing factor and tolerance influencing factor after system optimization.

[0037] For the material cost evaluation function (1) of the constructed optical system, k = 0, that is, without cost optimization, the initial material cost function value of the optical system C 0 =1. Initially in the design process α and βIt can be set to 0.5, which means that the volume price factor of the material and the tolerance influence factor have the same impact on the cost of the optical system. The weight distribution can also be adjusted during the design process. For example, when the tolerance of the system is stricter, the value of the weight coefficient β of the tolerance influence factor can be increased.

[0038] Figure 4 This is an optimization flow chart of an embodiment of the present invention. Figure 4 The process is described in detail.

[0039] First, according to the design index of the optical system, the initial system structure is selected using common optical design software, and the initial system structure is optimized according to experience to meet the image quality requirements. In this embodiment, the modulation transfer function MTF is used to evaluate the image quality.

[0040] Then, the material cost evaluation function is used to optimize the optical system and set the material cost evaluation function value that meets the design index. C 0 =1.

[0041] The specific optimization content is: take the curvature radius, center thickness and air gap of each lens in the initial system structure as optimization variables, adjust each optimization variable under the optimization algorithm of the optical design software, and find the best balance point according to actual needs. And calculate the value of the material cost evaluation function of the optimized optical system through formula (1), and calculate the tolerance influence factor of each lens in the initial system structure through formula (2) and formula (3) respectively. and price volume factors .

[0042] If the value of the material cost evaluation function of the optimized optical system decreases, it means that the optical material cost of the optical system has been controlled. If the value of the material cost evaluation function is greater than 1, it is necessary to re-use formula (1) to optimize the initial system structure.

[0043] At the same time, the optimized image quality must also be taken into consideration. If the change in the modulation transfer function (MTF) is less than the preset value, the lens at this time is the final selected lens.

[0044] Furthermore, in the optimized optical system structure, a second optimization can be continued according to demand. That is, the lens with high tolerance influence factor and / or price volume influence factor is replaced, and the optimization process is repeated. The curvature radius, center thickness and air gap of each lens after replacement are used as optimization variables, and the value of the material cost evaluation function of the optimized optical system and the tolerance influence factor and price volume influence factor of each lens are recalculated.

[0045] If the material cost evaluation function continues to decrease after the second optimization, and the change in the modulation transfer function MTF increases compared to the first optimization, but is still less than the preset value, the third optimization can be performed.

[0046] Likewise, the lens with a high tolerance influence factor and / or a high price and volume influence factor is selected and replaced until the change in the modulation transfer function MTF is greater than a preset value.

[0047] In other embodiments, if the cost requirements for the optical system structure are more strictly controlled, but the image quality requirements are not high, cost control can be performed by increasing the weight coefficient of the price volume influence factor or increasing the preset value of the change amount of the modulation transfer function. In this case, the material cost evaluation function expression of the optical system is:

[0048] Taking the curvature radius, center thickness and air spacing of each lens in the initial system structure as optimization variables, calculate the value of the material cost evaluation function of the optical system and the price and volume influencing factors ; By replacing the lens with a high price-volume influence factor, the value of the material cost evaluation function of the optical system is reduced, and the change of the modulation transfer function is less than a preset value.

[0049] In other embodiments, if the price and volume of glass are relatively low, but the refractive index tolerance is very sensitive, then we can focus on optimizing the tolerance influencing factor. In this case, the material cost evaluation function expression of the optical system is: ; Taking the curvature radius, center thickness and air spacing of each lens in the initial system structure as optimization variables, calculate the value of the material cost evaluation function of the optical system and the tolerance influencing factors of each lens ; By replacing the lens with a high tolerance influence factor, the value of the material cost evaluation function of the optical system is reduced, and the change of the modulation transfer function is less than a preset value.

[0050] If the impact of the refractive index tolerance reduction on the cost is not significant at this time, and there are some more expensive or larger glasses in the system, we can further focus on optimizing the volume price factor.

[0051] Figure 5 Schematic diagram of the modulation transfer function of the system in each optimization stage of a specific implementation mode of the present invention, combined with Figure 6 The material cost optimization process of the present invention is described.

[0052] This embodiment uses a double Gaussian objective lens system as an example. The initial structure selects a transmissive optical system with a focal length of 100 mm, an F number of 5, a full field of view of 10°, and a working wavelength in the visible light band. The effectiveness and accuracy of the present invention are verified, and the optimization process is divided into the following parts: (1) Figure 5 The initial system structure shown in a is the starting point for optimization ( Figure 6 The yellow point in the figure shows that the initial structure has a good design MTF, and the material cost evaluation function value at this time is C 8 =1.

[0053] (2) Evaluation of the initial structure based on the material cost function C k The optimization was carried out by taking the curvature radius, center thickness and air spacing of each lens in the initial system structure as optimization variables, and paying attention to the factors affecting imaging quality and tolerance. After multiple optimizations, the following is obtained: Figure 5 b shows the system structure, the cost evaluation function value at this time C 16 =0.702.

[0054] (3) During the optimization process, the price and volume influencing factors of each lens are calculated simultaneously. and tolerance influencing factors . Through calculation, it is found that the volume price coefficient and tolerance influence factor of the first and third lenses in the optimized system structure are relatively high. At this time, the material cost evaluation function C k The value of is reduced to the optimization benchmark, and the glass materials of the first and third lenses are replaced, as shown in Table 1. The optimized system structure is as follows Figure 5 As shown in c, the cost evaluation function value of the optical system at this time C 25 =0.608.

[0055]

[0056] Finally, the modulation transfer function and cost evaluation function values ​​of the initial system structure, the structure after material cost evaluation function optimization, and the optical system after material cost evaluation function optimization and replacement of glass material are compared. The Monte Carlo analysis of MTF is used, and the refractive index error n=0.001 is selected, as shown in Table 2.

[0057]

[0058] According to the analysis results, under the same error interference, the cost function value of the optical system based on cost optimization decreases, and the actual MTF of the system changes little.

[0059] Figure 6 The relationship between the change of MTF used to evaluate image quality and the cost evaluation function value during the optimization process is shown. In general, the image quality of the system and the cost function value of the system are weighed during the optimization process. As the cost function value decreases, the image quality of the system will also decrease to a certain extent. When the image quality drops to the preset value, if the optimization continues, the actual MTF of the system may drop significantly. The acceptable degree of image quality degradation of the system can be selected according to the actual design indicators of the system, further reducing the cost of the system in the customized glass material stage.

[0060] Specifically, Figure 6 As shown in Figure 1, region I shows the change of the cost evaluation function when only the tolerance influencing factor is adjusted for the optical system structure. It can be seen that the value of the material cost evaluation function increases significantly when only the image quality is optimized. When the material cost evaluation function is added for optimization, the value of the material cost function decreases, but at the same time, the image quality of the optical system also decreases.

[0061] In this embodiment, taking into account the actual conditions of image quality and material cost, the region IV where the cost evaluation function value is below 0.9 and the actual MTF change is less than 5% during the optimization process is set as the ideal optimization region. In this region, the acceptable degree of system image quality degradation can be selected according to the actual design indicators to clarify the corresponding cost control situation. Example

[0062] The present invention also provides an apparatus embodiment that is consistent with the above embodiment, which is used to implement the method steps described in the above embodiment. The explanation based on the same name meaning is the same as the above embodiment, and has the same technical effect as the above embodiment, which will not be repeated here.

[0063] like Figure 7 As shown, the present invention discloses an optical system design device with low optical material cost, comprising: An input unit 302 obtains an initial system structure that meets the modulation transfer function requirements according to the design index of the optical system; The optimization unit 304 optimizes the initial system structure according to the material cost evaluation function of the optical system, so that the value of the material cost evaluation function of the optical system is less than 1, and the variation of the modulation transfer function is less than a preset value; The expression of the material cost evaluation function of the optical system is:

[0064] in,N is the total number of lenses in the optical system, k is the number of system groups, k ≥1; α is the weight coefficient of the price volume influencing factor; β is the weight coefficient of the tolerance influencing factor, α + β =1; After normalization i The price and volume factors of each lens; After normalization i The tolerance influencing factors of each lens; The price-volume impact factor is related to the relative price and volume of the lens; The tolerance influencing factors are related to the refractive index error sensitivity of the lens, the lens volume and the air space.

[0065] Example 3 like Figure 8 As shown, this embodiment provides an electronic device, comprising: at least one processor; and a memory communicatively connected to the at least one processor; wherein the memory stores instructions executable by the one processor, and the instructions are executed by the at least one processor so that the at least one processor can execute the method steps described in the above embodiment.

[0066] Example 4 The disclosed embodiment of the present invention provides a non-volatile computer storage medium, wherein the computer storage medium stores computer executable instructions, and the computer executable instructions can execute the method steps described in the above embodiment.

[0067] Example 5 Reference below Figure 8 , which shows a schematic diagram of the structure of an electronic device suitable for implementing the disclosed embodiment of the present invention. The terminal device in the disclosed embodiment of the present invention may include but is not limited to mobile terminals such as mobile phones, laptop computers, digital broadcast receivers, PDAs (personal digital assistants), PADs (tablet computers), PMPs (portable multimedia players), vehicle-mounted terminals (such as vehicle-mounted navigation terminals), etc., and fixed terminals such as digital TVs, desktop computers, etc. Figure 8 The electronic device shown is only an example and should not bring any limitation to the functions and scope of use of the embodiments disclosed in the present invention.

[0068] like Figure 8As shown, the electronic device may include a processing device (e.g., a central processing unit, a graphics processing unit, etc.) 401, which can perform various appropriate actions and processes according to a program stored in a read-only memory (ROM) 402 or a program loaded from a storage device 408 to a random access memory (RAM) 403. In RAM 403, various programs and data required for the operation of the electronic device are also stored. The processing device 401, ROM 402, and RAM 403 are connected to each other via a bus 404. An input / output (I / O) interface 405 is also connected to the bus 404.

[0069] Typically, the following devices may be connected to the I / O interface 405: an input device 406 including, for example, a touch screen, a touch pad, a keyboard, a mouse, a camera, a microphone, an accelerometer, a gyroscope, etc.; an output device 407 including, for example, a liquid crystal display (LCD), a speaker, a vibrator, etc.; a storage device 408 including, for example, a magnetic tape, a hard disk, etc.; and a communication device 409. The communication device 409 may allow the electronic device to communicate with other devices wirelessly or by wire to exchange data. Although Figure 8 An electronic device having various devices is shown, but it should be understood that it is not required to implement or possess all the devices shown. More or fewer devices may be implemented or possessed instead.

[0070] In particular, according to the embodiments disclosed in the present invention, the process described above with reference to the flowchart can be implemented as a computer software program. For example, the embodiments disclosed in the present invention include a computer program product, which includes a computer program carried on a computer-readable medium, and the computer program contains program code for executing the method shown in the flowchart. In such an embodiment, the computer program can be downloaded and installed from the network through the communication device 409, or installed from the storage device 408, or installed from the ROM 402. When the computer program is executed by the processing device 401, the above-mentioned functions defined in the method of the embodiment disclosed in the present invention are executed.

[0071] It should be noted that the computer-readable medium disclosed in the present invention may be a computer-readable signal medium or a computer-readable storage medium or any combination of the above two. The computer-readable storage medium may be, for example, but not limited to, an electrical, magnetic, optical, electromagnetic, infrared, or semiconductor system, device or device, or any combination of the above. More specific examples of computer-readable storage media may include, but are not limited to: an electrical connection with one or more wires, a portable computer disk, a hard disk, a random access memory (RAM), a read-only memory (ROM), an erasable programmable read-only memory (EPROM or flash memory), an optical fiber, a portable compact disk read-only memory (CD-ROM), an optical storage device, a magnetic storage device, or any suitable combination of the above. In the present invention, a computer-readable storage medium may be any tangible medium containing or storing a program that can be used by or in combination with an instruction execution system, device or device. In the present invention, a computer-readable signal medium may include a data signal propagated in a baseband or as part of a carrier wave, which carries a computer-readable program code. Such propagated data signals may take a variety of forms, including but not limited to electromagnetic signals, optical signals, or any suitable combination of the above. Computer readable signal media may also be any computer readable medium other than computer readable storage media, which may send, propagate or transmit a program for use by or in conjunction with an instruction execution system, apparatus or device. The program code contained on the computer readable medium may be transmitted using any appropriate medium, including but not limited to: wires, optical cables, RF (radio frequency), etc., or any suitable combination of the above.

[0072] The computer-readable medium may be included in the electronic device, or may exist independently without being incorporated into the electronic device.

[0073] Computer program code for performing the operations disclosed in the present invention may be written in one or more programming languages ​​or a combination thereof, including object-oriented programming languages, such as Java, Smalltalk, C++, and conventional procedural programming languages, such as "C" or similar programming languages. The program code may be executed entirely on the user's computer, partially on the user's computer, as a separate software package, partially on the user's computer and partially on a remote computer, or entirely on a remote computer or server. In the case of a remote computer, the remote computer may be connected to the user's computer through any type of network, including a local area network (LAN) or a wide area network (WAN), or may be connected to an external computer (e.g., via the Internet using an Internet service provider).

[0074] The flow chart and block diagram in the accompanying drawings illustrate the possible architecture, function and operation of the system, method and computer program product according to the various embodiments disclosed in the present invention. In this regard, each square box in the flow chart or block diagram can represent a module, a program segment or a part of a code, and the module, the program segment or a part of the code contains one or more executable instructions for realizing the specified logical function. It should also be noted that in some implementations as replacements, the functions marked in the square box can also occur in a sequence different from that marked in the accompanying drawings. For example, two square boxes represented in succession can actually be executed substantially in parallel, and they can sometimes be executed in the opposite order, depending on the functions involved. It should also be noted that each square box in the block diagram and / or flow chart, and the combination of the square boxes in the block diagram and / or flow chart can be implemented with a dedicated hardware-based system that performs the specified function or operation, or can be implemented with a combination of dedicated hardware and computer instructions.

[0075] The units involved in the embodiments disclosed in the present invention may be implemented by software or hardware, wherein the name of a unit does not limit the unit itself in some cases.

Claims

1. A method for designing an optical system with low optical material cost, characterized in that: include: According to the design index of the optical system, an initial system structure that meets the requirements of the modulation transfer function is obtained; Optimizing the initial system structure according to the material cost evaluation function of the optical system, so that the value of the material cost evaluation function of the optical system is less than 1, and the variation of the modulation transfer function is less than a preset value; The expression of the material cost evaluation function of the optical system is: ; in, N is the total number of lenses in the optical system, k is the number of system groups, k≥0; α is the weight coefficient of the price volume influencing factor; β is the weight coefficient of the tolerance influencing factor, α + β =1; After normalization i The price and volume factors of each lens; After normalization i The tolerance influencing factors of each lens; The price-volume impact factor is related to the relative price of the lens and the lens volume; The tolerance influencing factors are related to the refractive index error sensitivity of the lens, the lens volume and the air space.

2. The method according to claim 1, characterized in that The expression of the price volume impact factor is: ; in, is the relative price of the lens, is the lens volume; The relative price of the lens is obtained from the corresponding optical material manufacturer; The lens volume is the maximum outer contour of the lens, which is related to the radius of curvature and the center thickness of the lens.

3. The method according to claim 1 or 2, characterized in that: The expression of the tolerance influencing factor is: ; in, F is the total field of view, f is the field of view; R and A are the total number of rings and total number of arms of pupil sampling points, respectively; r and a are the number of rings and arms of the pupil sampling points, respectively; is the change in the optical path difference at the pupil sampling point caused by the refractive index of the current lens.

4. The method according to claim 3, characterized in that The optimizing the initial system structure according to the material cost evaluation function of the optical system so that the value of the material cost evaluation function of the optical system is less than 1 and the variation of the modulation transfer function is less than a preset value includes: Taking the radius of curvature, center thickness and air spacing of each lens in the initial system structure as optimization variables, calculating the value of the material cost evaluation function of the optical system and the tolerance influence factor and price volume influence factor of each lens; Replacing lenses with high tolerance influence factors and / or price and volume influence factors reduces the value of the material cost evaluation function of the optical system.

5. The method according to claim 4, characterized in that Also includes: Taking the preset value of the change in the modulation transfer function as a critical condition, when the change in the modulation transfer function of the optical system after replacing the lens material is less than the preset value, continue to replace lenses with high tolerance influence factors and / or price volume influence factors to reduce the value of the material cost evaluation function of the optical system until the change in the modulation transfer function increases to approach the preset value.

6. The method according to claim 5, characterized in that The weight coefficient α = β= 0.

5.

7. The method according to claim 3, characterized in that The optimizing the initial system structure according to the material cost evaluation function of the optical system so that the value of the material cost evaluation function of the optical system is less than 1 and the variation of the modulation transfer function is less than a preset value includes: Taking the radius of curvature, center thickness and air spacing of each lens in the initial system structure as optimization variables, calculating the value of the material cost evaluation function and the price volume influencing factor of the optical system; The lens with a high price-volume influence factor is replaced, so that the value of the material cost evaluation function of the optical system is reduced, and the change of the modulation transfer function is less than the preset value.

8. The method according to claim 3, characterized in that The optimizing the initial system structure according to the material cost evaluation function of the optical system so that the value of the material cost evaluation function of the optical system is less than 1 and the variation of the modulation transfer function is less than a preset value includes: Taking the radius of curvature, center thickness and air spacing of each lens in the initial system structure as optimization variables, calculating the value of the material cost evaluation function of the optical system and the tolerance influencing factor of each lens; The lens with a high tolerance influence factor is replaced so that the variation of the modulation transfer function is less than the preset value.

9. An optical system design device with low optical material cost, characterized in that: include: The input unit obtains an initial system structure that meets the modulation transfer function requirements according to the design index of the optical system; An optimization unit, which optimizes the initial system structure according to the material cost evaluation function of the optical system, so that the value of the material cost evaluation function of the optical system is less than 1, and the variation of the modulation transfer function is less than a preset value; The expression of the material cost evaluation function of the optical system is: ; in, N is the total number of lenses in the optical system, k is the number of system groups, k ≥0; α is the weight coefficient of the price volume influencing factor; β is the weight coefficient of the tolerance influencing factor, α + β =1; After normalization i The price and volume factors of each lens; After normalization i The tolerance influencing factors of each lens; The price-volume impact factor is related to the relative price and volume of the lens; The tolerance influencing factors are related to the refractive index error sensitivity of the lens, the lens volume and the air space.

10. A computer-readable storage medium having a computer program stored thereon, characterized in that: When the program is executed by a processor, the method according to any one of claims 1 to 8 is implemented.

Images