JPH10240709A - Device for designing lens and method therefor and medium for recording program for designing lens - Google Patents

Abstract

PROBLEM TO BE SOLVED: To obtain a satisfactory lens design value without being trapped by a local solution regardless of an initial value. SOLUTION: A gene initial group generating part 31 generates a gene initial group corresponding to the initial solution candidate group of a lens design parameter. An adaptability evaluating part 32 evaluates the adaptability of each gene data constructing a gene group for an applied gene group including the gene initial group. A genetic operation executing part 33 executes a genetic operation to which the result of evaluation is added to the gene group after the execution of evaluation by the adaptability evaluating part 32, and applies the gene group after the execution of the genetic operation to the adaptability evaluating part 32. The evaluation by the adaptability evaluating part 32 and the genetic operation by the genetic operation executing part 33 are repeatedly executed so that the optimal solution of a lens design parameter can be retrieved, and the optimal solution can be outputted by an optimal solution outputting part 34.

Description

DETAILED DESCRIPTION OF THE INVENTION

[0001]

BACKGROUND OF THE INVENTION 1. Field of the Invention The present invention relates to a lens design apparatus and method used for lens design, and a medium on which a lens design program is recorded.

[0002]

2. Description of the Related Art In recent years, it has become common practice to automatically design a lens using a computer and a lens design program. The lens design program is
Enter the range and initial value of each parameter (curvature, refractive index, surface spacing) of the lens system to be designed, determine the form of the evaluation function, and automatically find the optimal solution for each parameter. . The evaluation function is a function for evaluating the lens system, for example, a function using aberration as a variable. Depending on the specifications of the lens system to be designed, this evaluation function may use all of the plural types of aberrations, selectively use some of them, or arbitrarily select, depending on the judgment of the lens designer. Is determined by weighting the aberrations. Here, it is assumed that the smaller the value of the evaluation function, the higher the evaluation. As a method of obtaining an optimal solution of each parameter, for example, a method of sequentially changing each parameter within a predetermined range including an initial value, and determining a combination of parameters having the smallest value of the evaluation function among them as an optimal solution Is used.

[0003]

However, the conventional lens design program as described above is not perfect, and the local minimum of the value of the evaluation function (Local Minimum) in the course of searching for the optimal solution. Is trapped in a local solution corresponding to the minimum value. Here, whether to be trapped by the local solution largely depends on how to give the initial value. However, at present, the method of giving the initial value depends on the experience and intuition of a lens design expert.

Further, in the conventional lens design program, there may exist a better solution than the optimal solution obtained by the initial value given by the expert, but the existence of the solution is actually proved. Impossible. That is, in lens design, there are many lens variables, and the evaluation function is a polynomial of a sine function, so it cannot be solved analytically.In general, it can only be found by numerical calculation, and all lens variables are within a predetermined range. If you try to find the best solution for crushing, the number of calculations will be astronomical.

The present invention has been made in view of such a problem, and an object of the present invention is to provide a lens capable of obtaining a good lens design value without being trapped in a local solution regardless of an initial value. It is an object of the present invention to provide a design apparatus and method, and a medium recording a lens design program.

[0006]

According to a first aspect of the present invention, there is provided a lens design apparatus for evaluating each solution candidate for a given solution group of lens design parameters including an initial solution group of lens design parameters. Means, and performing a genetic operation on the solution candidate group of the lens design parameters after the evaluation performed by the evaluation means in consideration of the result of the evaluation by the evaluation means; And a genetic operation by the evaluation means and the genetic operation by the genetic operation execution means are repeatedly executed to search for an optimal solution of the lens design parameter.

According to a fourth aspect of the present invention, there is provided a lens design method comprising: an initial solution candidate group generating procedure for generating an initial solution candidate group for lens design parameters; and an initial solution candidate group generated by the initial solution candidate group generating procedure. An evaluation procedure for evaluating each solution candidate for a given lens design parameter solution candidate group, and a result of the evaluation procedure for the lens design parameter solution candidate group after this evaluation procedure is performed. Performing the genetic operation, and performing a genetic operation to give a solution candidate group after the genetic operation is performed to the evaluation procedure. This is to search for the optimal solution.

[0008] A medium on which the lens design program according to claim 7 is recorded is a medium on which a lens design program for obtaining an optimal solution of lens design parameters by a computer is recorded, wherein the lens design program is:
An evaluation procedure for evaluating each solution candidate for a given lens design parameter solution candidate group including the lens design parameter initial solution candidate group, and a lens design parameter solution after performing the evaluation by this evaluation procedure. A lens operation is performed on the candidate group by performing a genetic operation taking into account the results of the evaluation performed by the evaluation procedure, and a genetic operation execution procedure of providing the solution candidate group after the execution of the genetic operation to the evaluation procedure. This is to search for an optimal solution of the parameter.

In the lens design apparatus according to the first aspect, the evaluation means evaluates each solution candidate for the given lens design parameter solution candidate group including the initial lens design parameter solution group, and Genetic operation taking into account the result of the evaluation by the evaluating means is performed on the solution candidate group of the lens design parameters after the evaluation is performed by the evaluating means, and the solution candidate group after performing the genetic operation is Given to the evaluation means. Then, the evaluation by the evaluation means and the genetic operation by the genetic operation execution means are repeatedly executed, and the optimal solution of the lens design parameter is searched.

In the lens design method, an initial solution candidate group of lens design parameters is generated by the initial solution candidate group generation procedure, and the initial solution candidate group generated by the initial solution candidate group generation procedure by the evaluation procedure. For the solution candidate group of the given lens design parameters, including the population, the evaluation of each solution candidate is performed, and by the genetic operation execution procedure, for the lens design parameter solution candidate group after the evaluation execution by the evaluation procedure, A genetic operation taking into account the result of the evaluation by the evaluation procedure is performed, and a solution candidate group after the execution of the genetic operation is provided to the evaluation procedure. Then, the evaluation procedure and the genetic operation execution procedure are repeatedly executed to search for an optimal solution of the lens design parameters.

According to a seventh aspect of the present invention, there is provided a medium having a lens design program recorded thereon, wherein a given lens design parameter including an initial solution candidate group is obtained by an evaluation procedure executed by the lens design program recorded on the medium. With respect to the solution candidate group, each solution candidate is evaluated, and according to the genetic operation execution procedure executed by the lens design program, the lens design parameter solution candidate group after the evaluation is executed by the evaluation procedure is evaluated by the evaluation procedure. A genetic operation taking into account the result of the evaluation is executed, and a solution candidate group after the execution of the genetic operation is provided to the evaluation procedure. Then, the evaluation procedure and the genetic operation execution procedure are repeatedly executed to search for an optimal solution of the lens design parameters.

[0012]

Embodiments of the present invention will be described below in detail with reference to the drawings. FIG. 3 is a block diagram illustrating a hardware configuration of the lens design device according to the first embodiment of the present invention. The lens design apparatus according to the present embodiment includes a CPU (central processing unit) 11, a ROM (read only memory) 12 storing an OS (operating system), and a RAM serving as a work area.
(Random access memory) 13 and a bus 10 to which these are connected. The lens design apparatus further includes a CRT connected to the bus 10 via interfaces (illustrated as I / F in the figure) 14 to 20, respectively.
A (cathode ray tube) 21, a hard disk 22, a CD (compact disk) -ROM drive 23, a floppy disk drive 24, a keyboard 25, a mouse 26, and a printer 27 are provided.

In this lens design device, the CPU 11
The hard disk 22, C
CD-RO driven by D-ROM drive 23
The lens design program according to the present embodiment stored in a floppy disk driven by the M or the floppy disk drive 24 is executed, and necessary information and menus are displayed on the CRT 21 as appropriate. . In addition, the user may provide necessary information and instructions as appropriate.
Input is performed using a keyboard 25, a mouse 26, or the like. The hard disk 22, the CD-ROM driven by the CD-ROM drive 23, and the floppy disk driven by the floppy disk drive 24 correspond to a medium in which the lens design program of the present invention is recorded.

FIG. 1 is a functional block diagram showing a functional configuration of a lens design apparatus according to the present embodiment realized by the hardware configuration as shown in FIG. 3 and the lens design program in the present embodiment. FIG. As shown in this figure, the lens design device according to the present embodiment
For a given gene population including a gene initial population generation unit 31 that generates a gene initial population corresponding to an initial solution candidate population of lens design parameters, and a gene initial population generated by the gene initial population generation unit 31, A fitness evaluation unit 32 that evaluates the fitness of each gene data constituting the population, and a gene group that has been evaluated by the fitness evaluation unit 32, taking into account the results of the evaluation by the fitness evaluation unit 32. A genetic operation executing unit 33 for executing a genetic operation and giving the gene population after the genetic operation to the fitness evaluation unit 32, and an optimal solution of the lens design parameter based on the evaluation result by the fitness evaluation unit 32. And an optimal solution output unit 34 for outputting Note that the lens design parameters are a curvature, a refractive index, a surface interval, and the like of a surface of each lens in a lens system to be designed. The initial gene population, gene population, genetic data, fitness and genetic manipulation will be described in detail later.

The lens design program according to the present embodiment for realizing the lens design apparatus shown in FIG. 1 basically includes a genetic algorithm (Genetic Algorithm).
(GA), but also uses an automatic lens design program to implement a part of the fitness evaluation unit 32.

Genetic algorithms are described in J. H. This is a search algorithm devised by Holland (for example, “System / Control / Information, Vol. 39, No. 6, 295-3)
In the genetic algorithm, first, a solution of a problem is encoded into gene (character string) data, and an initial gene population (solution candidate population) is generated by an appropriate method. The fitness of each gene that constitutes the initial gene population is evaluated, and genetic manipulations such as selection, crossing (mutation), mutation, etc., which take into account the fitness and use the principle of natural selection, are performed as a gene population. It is a method of finding a solution that is closer to optimal by evolving.
Genetic algorithms do not require the differentiability of the objective function, and can perform searches that do not depend on the shape of the objective function. I have.

In this embodiment, a group of gene data is called a gene group, and a group of gene data given first is called an initial gene group.

FIG. 2 is a functional block diagram showing the configuration of the fitness evaluation section 32 in FIG. 1 in detail. As shown in this figure, the fitness evaluation unit 32 includes a conversion unit 41 that converts each of the gene data constituting the input gene population into lens design parameters, a lens design parameter obtained by the conversion unit 41, And a ray tracing execution unit 42 that performs ray tracing based on a changed lens design parameter as described later, and an aberration calculation unit 43 that calculates aberration based on the result of the ray tracing by the ray tracing execution unit 42
And a parameter changing unit 44 that changes the lens design parameter within a predetermined range including the lens design parameter obtained by the conversion unit 41 after the aberration calculation by the aberration calculation unit 43, and gives the parameter to the ray tracing execution unit 42. Using the information on the aberration calculated by the aberration calculation unit 43,
An optimization data output unit 45 for obtaining an optimum value of a lens design parameter within a predetermined range, outputting the optimum value as optimization data, and outputting aberration information corresponding to the optimization data; An evaluation unit 46 that evaluates the fitness of the optimization data using the information on the aberration output from the output unit 45 is provided. Evaluation unit 46
Outputs the optimized data and the aberration information corresponding to the optimized data to the optimal solution output unit 34 when a sufficient evaluation is obtained. The information on the aberration corresponding to the optimized data and the optimized data is output to the genetic operation execution unit 33. Note that the adaptability refers to the degree of adaptation to the environment, and in the case of the present embodiment, particularly refers to the degree of small aberration. Therefore, the smaller the aberration, the greater the fitness.

The part indicated by reference numeral 48 in the fitness evaluation section 32 shown in FIG. 2, that is, the ray tracing execution section 42, the aberration calculation section 43, the parameter change section 44, and the optimization data output section 45, It is realized by a design program.

Next, the operation of the lens design apparatus according to the present embodiment will be described with reference to FIGS.
The description of the operation of the lens design device also serves as the description of the lens design method according to the present embodiment.

FIG. 4 is a flowchart showing the overall operation of the lens design apparatus according to the present embodiment. In order to use a genetic algorithm, first, it is necessary to encode a solution candidate into genetic data in some form. Therefore, the lens design device first determines a gene model that is a model of genetic data corresponding to the lens design parameters (step S101).

Here, an example of a gene model according to the present embodiment will be described with reference to FIGS. Here, the two lenses 51, as shown in FIG.
The case of designing a lens system composed of 52 will be described as an example. In this example, the curvature of the first surface, the refractive index of the lens, and the curvature of the second surface of the first lens 51 are R1f,
N1, R1r, first lens 51 and second lens 52
And the curvature of the first surface, the refractive index of the lens, and the curvature of the second surface of the second lens 52 are R2f,
N2 and R2r. Such a genetic model is, for example, a method in which a user inputs necessary information to the keyboard 25 or the mouse 2.
Input to the lens design device using 6 or the like and set.

FIG. 7 shows an example of a genetic model of lens design parameters in the lens system shown in FIG. This genetic model has a lens design parameter R
1f, N1, R1r, D1, R2f, N2, and R2r are arranged in this order to generate gene data. Note that R1f,
R1r, D1, R2f, and R2r are represented by, for example, 16 bits.
N1 and N2 are represented by, for example, 12 bits.

In FIG. 6, w represents the size of the spot at the focal point when a plurality of parallel light beams enter the lens system including the lenses 51 and 52. Since the spot size w corresponds to the size of the aberration, it can be said that the spot size is the amount of aberration. In the automatic lens design program, ray tracing is performed based on lens design parameters, and is calculated using an aberration amount such as a spot size w or some aberrations (coma aberration, field curvature, etc.). The lens system is evaluated based on the lens design parameters using the aberration evaluation amount obtained.

In the operation shown in FIG. 4, the lens designing apparatus next generates an initial gene population by the initial gene population generating unit 31 in FIG. 1 (step S10).
2). The number of gene data constituting the initial gene population is arbitrary, for example, about 30. Further, the content of the gene data constituting the initial gene population is also arbitrary. For example, the CPU 11 may randomly generate the random number using random numbers, or may set the content that a lens design expert or the like considers preferable. You may do it. Hereinafter, the genetic data constituting the gene population is also referred to as an individual.

Next, the lens design device, the fitness evaluation unit 3
2, the individual is evaluated for adaptation (step S10).
3). Here, for each individual, ray tracing is performed using an automatic lens design program, the amount of aberration or aberration evaluation amount is calculated to evaluate the lens system, and the optimum value of the lens design parameter is calculated and calculated. The fitness of each individual is evaluated based on the aberration amount or the aberration evaluation amount corresponding to the obtained optimum value. The adaptation evaluation of each individual will be described later in detail with reference to FIG. The result of this evaluation will be added to the genetic manipulation performed later. Next, as a result of the adaptive evaluation of each individual, the fitness evaluation section 32 determines whether or not there is an individual for which a sufficient evaluation has been obtained, that is, an individual whose fitness is equal to or higher than a predetermined value ( Step S104). When there is an individual for which sufficient evaluation has been obtained (Y), the fitness evaluation unit 32 outputs the optimized data corresponding to the individual and the aberration amount or the aberration evaluation amount corresponding to the optimized data as an optimal solution. Output to the unit 34. In this case, the lens design device uses the optimum solution output unit 34 to determine the optimized data and the aberration amount or aberration evaluation amount corresponding to the optimized data by an appropriate method (CRT 21).
Is output to the user (step S109), and the operation is terminated. Here, the output optimization data is an optimal solution of the lens design parameters obtained by the lens design device according to the present embodiment. If there are a plurality of individuals that have been sufficiently evaluated, the optimization data corresponding to all the individuals may be output, or only the optimization data corresponding to the individual with the highest fitness may be output. May be output.

The lens design apparatus does not obtain a sufficient evaluation for all individuals (step S104;
In N), the fitness evaluation unit 32 outputs the optimized data for each individual and the aberration amount or the aberration evaluation amount corresponding to the optimized data to the genetic operation execution unit 33. In this case, the genetic operation execution unit 33 first converts the optimization data into genetic data (Step S105). At this point, a new gene population is formed. Next, the genetic operation execution unit 33 executes each genetic operation of selection (selection) and propagation (step S106), crossing (crossing) (step S107), and mutation (step S108) on the gene population. I do. Selection (proliferation) and proliferation are operations in which individuals with low evaluations are selected (cut) by a certain percentage in the order of low evaluation, and individuals with high evaluations are propagated (copy) by the amount that compensates for the number of individuals selected. is there. Crossing (Mating)
Is an operation of rearranging a part of the genetic data of two individuals (parents) to create genetic data of a new individual (child).
Mutation is an operation that changes genetic data with a certain probability. Of each genetic operation, selection and propagation have the function of converging the lens design parameters, in particular, to good values, and crossing and mutation prevent, in particular, lens design parameters from being trapped in local solutions. It has a function to do. The specific content of each genetic operation, for example, the rule of intersection and the method of generating a mutation, can be arbitrarily set.

The genetic operation unit 33 supplies the gene group obtained by executing each of the above-described genetic operations to the fitness evaluation unit 32, and in the operation shown in FIG. 4, the fitness evaluation of each individual is performed (step S103). ). As described above, by repeatedly executing the adaptive evaluation and the genetic operation of each individual, a good lens design value (optimized data) can be obtained without being trapped in the local solution.

Here, a specific example of the genetic operation will be described with reference to FIGS. FIG. 8 shows an example of selection and propagation among the genetic operations. FIG. 8 (a) shows the gene population before selection and propagation, and shows the genetic data (individual) constituting the gene cluster. Here, the genetic data is represented by 13 hexadecimal digits. In addition, 1 shown on the right side of each gene data
The two-digit number in the 0-base number indicates the fitness by the fitness evaluation (step S103) of each individual with respect to each genetic data. FIG. 8B shows the gene population after selection and propagation, and also shows the genetic data (individual) constituting the gene population. Again, the genetic data is 1
It is represented by 13 digits in hexadecimal and the fitness of 2 digits in decimal is written to the right of each gene data. In the example shown in FIG. 8, in the gene group before selection and propagation, two individuals are killed and sorted out in order from the one with the smallest fitness, and two individuals are sorted in order from the one with the largest fitness. To form a gene population after selection and propagation. In addition, the number of individuals performing selection and propagation can be arbitrarily set.

FIG. 9 shows an example of the intersection of the genetic operations. FIG. 9 (a) shows two pieces of gene data before crossing, and 10 genes described on the right side of each piece of gene data.
2 indicates the fitness of two digits in radix. FIG. 9B shows two pieces of gene data after the intersection, and the two-digit decimal fitness shown on the right side of each piece of gene data. In this example, the last six digits of the two gene data before the intersection are exchanged, and the two gene data after the intersection,
Is formed. Note that the number of individuals performing the intersection can be set arbitrarily. Also, for example, as shown in FIG. 7, each lens design parameter R1f, N1, R1r, D1, R2f, N
2 and R2r, the lens design parameters R1f, N
It is preferable to change a part of each of R1, R1r, D1, R2f, N2, and R2r.

Although a specific example of the mutation in the genetic manipulation is not shown, this mutation is, for example,
This can be realized by changing each numerical value in each gene data constituting the gene population with a certain probability.
As the numerical value after the change, for example, a random number can be used.

FIG. 5 is a flowchart showing the operation of the adaptive evaluation of each individual in FIG. In this operation, first, the conversion unit 41 in FIG. 2 converts each gene data constituting the given gene group into lens design parameters (step S111). Next, ray tracing is performed by the ray tracing execution unit 42 based on the lens design parameters obtained by the conversion unit 41 (step S11).
2), based on the result of the ray tracing, the aberration calculator 43
Thus, the aberration amount or the aberration evaluation amount is obtained (step S113). Next, it is determined whether or not all changes in the lens design parameters within a predetermined range including the lens design parameters obtained by the conversion unit 41 have been completed (step S114). The parameter changing unit 44 changes the lens design parameters within a predetermined range (step S115), gives the changed parameters to the ray tracing execution unit 42, and returns to step S112.

When all the lens design parameter changes have been completed (step S114; Y), the optimization data output unit 45 optimizes the optimization data, which is the optimal value of the lens design parameter within a predetermined range, and optimizes it. The amount of aberration or the amount of aberration evaluation corresponding to the data
6 (step S116). Next, the evaluation unit 46
Accordingly, the fitness of the optimization data is evaluated based on the aberration amount or the aberration evaluation amount output from the optimization data output unit 45 (step S117), and the operation returns to the operation illustrated in FIG. Here, the fitness is set to increase as the aberration amount or the aberration evaluation amount decreases. For example, a value obtained by multiplying a reciprocal of the aberration amount or the aberration evaluation amount by a predetermined coefficient, or a value obtained by subtracting the aberration amount or the aberration evaluation amount from the predetermined value by a predetermined coefficient is used as the fitness.

Steps S112 to S116 of the operation shown in FIG. 5 are operations based on the lens automatic design program.

As described above, according to the present embodiment, the adaptive evaluation of each individual and the genetic operation are repeatedly executed by using the genetic algorithm to search for the optimal solution of the lens design parameter. I decided to
A good lens design value can be obtained without being trapped in the local solution regardless of the initial value. As a result, a good lens design value can be obtained even if the lens is not expertly designed. Further, in the present embodiment, in the adaptive evaluation of each individual, optimization data which is an optimum value of a lens design parameter within a predetermined range is obtained by an automatic lens design program, and an aberration amount or aberration corresponding to the optimization data is obtained. Since the fitness of the optimization data is evaluated based on the evaluation amount, the number of repetitions of the adaptation evaluation and genetic operation of each individual is smaller than when the optimization data is not obtained by the automatic lens design program. It is possible to obtain a good lens design value efficiently and quickly.

Next, a second embodiment of the present invention will be described with reference to FIGS. The lens design apparatus according to the present embodiment is realized by the hardware configuration as shown in FIG. 3 and the lens design program according to the present embodiment. The lens design program in the present embodiment is similar to the first embodiment,
3 is stored in a hard disk 22, a CD-ROM driven by a CD-ROM drive 23, or a floppy disk driven by a floppy disk drive 24. The overall functional configuration of the lens design apparatus according to the present embodiment is the same as that of FIG.

FIG. 10 is a functional block diagram showing the configuration of the fitness evaluation section 32 in the lens design apparatus according to the present embodiment. Fitness evaluation section 32 in the present embodiment
A conversion unit 41 that converts each gene data constituting the input gene population into lens design parameters, a ray tracing execution unit 62 that performs ray tracing based on the lens design parameters obtained by the conversion unit 41, An aberration calculating unit 63 that calculates the amount of aberration or the amount of aberration evaluation based on the result of the ray tracing by the ray tracing execution unit 62, and a lens using the amount of aberration or the amount of aberration evaluation calculated by the aberration calculating unit 63. An evaluation unit 46 for evaluating the fitness of the design parameter is provided. When sufficient evaluation is obtained, the evaluation unit 46 outputs the lens design parameter and the aberration amount or the aberration evaluation amount corresponding to the lens design parameter to the optimal solution output unit 34, and the sufficient evaluation is not obtained. In this case, the lens design parameter and the aberration amount or the aberration evaluation amount corresponding to the lens design parameter are output to the genetic operation execution unit 33.

The portion indicated by reference numeral 68 in the fitness evaluation section 32 shown in FIG. 10, that is, the ray tracing execution section 62 and the aberration calculation section 63 are realized by a lens ray tracing program.

Next, the operation of the lens design apparatus according to this embodiment will be described. The description of the operation of the lens design device also serves as the description of the lens design method according to the present embodiment. The overall operation of the lens design device according to the present embodiment is substantially the same as that of FIG.
“Optimization data” in step S105 and step S109 is replaced with “lens design parameter”.

FIG. 11 is a flowchart showing the operation of the adaptive evaluation (step S103 in FIG. 4) of each individual in the present embodiment. In this operation, first, the conversion unit 4 in FIG.
1 converts each gene data constituting the given gene population into lens design parameters (step S
121). Next, ray tracing is performed by the ray tracing execution unit 62 based on the lens design parameters obtained by the conversion unit 41 (step S122). Based on the result of the ray tracing, the aberration amount is calculated by the aberration calculation unit 63. Alternatively, an aberration evaluation amount is obtained (step S123), and the lens design parameter and the aberration amount or the aberration evaluation amount corresponding to the lens design parameter are output to the evaluation unit 46 (step S124). Next, the evaluation unit 46 evaluates the fitness of the lens design parameters based on the aberration amount or the aberration evaluation amount output from the aberration calculation unit 63 (step S125), and returns to the operation illustrated in FIG.

Steps S122 to S124 of the operation shown in FIG. 11 are operations based on the lens ray tracing program.

As described above, in the present embodiment,
Unlike the first embodiment, the lens automatic design program does not calculate the optimization data which is the optimum value of the lens design parameter within a predetermined range. It is expected that the adaptation evaluation of each individual and the number of repetitions of the genetic operation will be required to obtain the optimal solution of
As in the embodiment of the present invention, a genetic algorithm is used to search for an optimal solution of lens design parameters, so that a good lens design value can be obtained without being trapped in a local solution regardless of the initial value. Can be obtained. Other configurations, operations, and effects in the present embodiment are described in the first section.
This is the same as the embodiment.

The present invention is not limited to the above embodiments. For example, in the example shown in FIG. 7, the values of the lens design parameters are simply arranged to form the genetic data. Genetic data may be formed by rearranging the values of the lens design parameters by a predetermined method, or gene data may be generated by a predetermined function using each lens design parameter as a variable.

The medium on which the lens design program is recorded is not limited to a hard disk, a CD-ROM, and a floppy disk, but may be other types of media such as a magneto-optical disk and a phase-change optical disk.

[0045]

As described above, the lens designing apparatus according to any one of claims 1 to 3, the lens designing method according to any one of claims 4 to 6, and the lens designing method according to any one of claims 7 to 9. According to the medium on which the lens design program is recorded, the solution candidate evaluation and the genetic operation are repeatedly executed on the solution candidate group to search for the optimal solution of the lens design parameters. There is an effect that a good lens design value can be obtained without being trapped in a local solution regardless of the value.

According to the lens design apparatus of the third aspect, the lens design method of the sixth aspect, or the medium on which the program for lens design of the ninth aspect is recorded, the aberration calculated based on the lens design parameters. Of the lens design parameters for each solution candidate within a predetermined range including the solution candidate, and evaluating each solution candidate using the aberration information corresponding to the calculated optimum value. Is carried out, so that in addition to the above-described effects, it is possible to obtain a good lens design value efficiently and quickly.

[Brief description of the drawings]

FIG. 1 is a functional block diagram illustrating a functional configuration of a lens design device according to a first embodiment of the present invention.

FIG. 2 is a functional block diagram showing a configuration of a fitness evaluation unit in FIG. 1 in detail.

FIG. 3 is a block diagram illustrating a hardware configuration of the lens design device according to the first embodiment of the present invention.

FIG. 4 is a flowchart showing an overall operation of the lens design device according to the first embodiment of the present invention.

FIG. 5 is a flowchart showing an operation of adaptive evaluation of each individual in FIG. 4;

FIG. 6 is an explanatory diagram showing an example of a lens system designed by the lens design device according to the first embodiment of the present invention.

7 is an explanatory diagram showing an example of a gene model of lens design parameters in the lens system shown in FIG.

FIG. 8 is an explanatory diagram showing an example of selection and propagation among genetic operations in the lens design device according to the first embodiment of the present invention.

FIG. 9 is an explanatory diagram showing an example of an intersection among the genetic operations in the lens design device according to the first embodiment of the present invention.

FIG. 10 is a functional block diagram illustrating a configuration of a fitness evaluation unit in a lens design device according to a second embodiment of the present invention.

FIG. 11 is a flowchart showing an operation of adaptive evaluation of each individual according to the second embodiment of the present invention.

[Explanation of symbols]

11 CPU, 12 ROM, 13 RAM, 22 hard disk, 23 CD-ROM drive, 24 floppy drive, 31 gene initial population generation unit, 32
... Fitness evaluation unit, 33 ... genetic operation execution unit, 34 ... optimal solution output unit

Claims (9)

[Claims] 1. An evaluation means for evaluating each solution candidate for a solution candidate group of a given lens design parameter including an initial solution candidate group of lens design parameters, and a lens design parameter after the execution of the evaluation by the evaluation means. Genetic operation taking into account the result of the evaluation by the evaluation means for the solution candidate population, and a genetic operation execution means for providing the solution candidate population after performing the genetic operation to the evaluation means, A lens design apparatus wherein an evaluation by an evaluation unit and a genetic operation by the genetic operation execution unit are repeatedly executed to search for an optimal solution of lens design parameters. 2. The lens design apparatus according to claim 1, wherein said evaluation means evaluates each solution candidate using information on aberration calculated based on lens design parameters. 3. The evaluation means calculates, for each solution candidate, an optimum value of a lens design parameter within a predetermined range including the solution candidate using information on aberration calculated based on the lens design parameter. 2. The lens design apparatus according to claim 1, wherein each solution candidate is evaluated using information on aberration corresponding to the calculated optimum value. 4. An initial solution candidate group generating procedure for generating an initial solution candidate group of lens design parameters, and a solution of a given lens design parameter including the initial solution candidate group generated by the initial solution candidate group generating procedure. An evaluation procedure for evaluating each solution candidate for the candidate group, and performing a genetic operation on the solution candidate group of the lens design parameters after the execution of the evaluation by this evaluation procedure in consideration of the result of the evaluation by the evaluation procedure. A genetic operation execution procedure for giving a solution candidate group after the genetic operation to the evaluation procedure, and repeatedly executing the evaluation procedure and the genetic operation execution procedure to search for an optimal solution of lens design parameters. A lens design method. 5. The lens design method according to claim 4, wherein in the evaluation procedure, each solution candidate is evaluated using aberration information calculated based on lens design parameters. 6. The evaluation procedure calculates, for each solution candidate, an optimal value of a lens design parameter within a predetermined range including the solution candidate, using aberration information calculated based on the lens design parameter. 5. The lens design method according to claim 4, wherein each solution candidate is evaluated using aberration information corresponding to the calculated optimum value. 7. A medium recording a lens design program for obtaining an optimal solution of lens design parameters by a computer, wherein the lens design program provides a computer with an initial solution candidate group of lens design parameters. An evaluation procedure for evaluating each solution candidate for the set of lens design parameter solutions, and a result of the evaluation performed by the evaluation procedure is added to the solution candidate group for the lens design parameters after the execution of the evaluation by this evaluation procedure. Perform genetic manipulations
A medium storing a lens design program characterized by repeatedly executing a genetic operation execution procedure of giving a solution candidate group after performing a genetic operation to the evaluation procedure to search for an optimal solution of lens design parameters. 8. The lens design program according to claim 7, wherein in the evaluation procedure, each solution candidate is evaluated using aberration information calculated based on lens design parameters. Medium. 9. The evaluation step calculates, for each solution candidate, an optimal value of a lens design parameter within a predetermined range including the solution candidate, using aberration information calculated based on the lens design parameter. 8. The medium according to claim 7, wherein each solution candidate is evaluated using information on the aberration corresponding to the calculated optimum value.