CN107219626B - The freeform optics system optimization method of faying face shape and visual field optimisation strategy - Google Patents
The freeform optics system optimization method of faying face shape and visual field optimisation strategy Download PDFInfo
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- CN107219626B CN107219626B CN201710528468.1A CN201710528468A CN107219626B CN 107219626 B CN107219626 B CN 107219626B CN 201710528468 A CN201710528468 A CN 201710528468A CN 107219626 B CN107219626 B CN 107219626B
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- G—PHYSICS
- G02—OPTICS
- G02B—OPTICAL ELEMENTS, SYSTEMS OR APPARATUS
- G02B27/00—Optical systems or apparatus not provided for by any of the groups G02B1/00 - G02B26/00, G02B30/00
- G02B27/0012—Optical design, e.g. procedures, algorithms, optimisation routines
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- G—PHYSICS
- G02—OPTICS
- G02B—OPTICAL ELEMENTS, SYSTEMS OR APPARATUS
- G02B17/00—Systems with reflecting surfaces, with or without refracting elements
- G02B17/02—Catoptric systems, e.g. image erecting and reversing system
- G02B17/06—Catoptric systems, e.g. image erecting and reversing system using mirrors only, i.e. having only one curved mirror
- G02B17/0647—Catoptric systems, e.g. image erecting and reversing system using mirrors only, i.e. having only one curved mirror using more than three curved mirrors
- G02B17/0663—Catoptric systems, e.g. image erecting and reversing system using mirrors only, i.e. having only one curved mirror using more than three curved mirrors off-axis or unobscured systems in which not all of the mirrors share a common axis of rotational symmetry, e.g. at least one of the mirrors is warped, tilted or decentered with respect to the other elements
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- G—PHYSICS
- G02—OPTICS
- G02B—OPTICAL ELEMENTS, SYSTEMS OR APPARATUS
- G02B27/00—Optical systems or apparatus not provided for by any of the groups G02B1/00 - G02B26/00, G02B30/00
- G02B27/0025—Optical systems or apparatus not provided for by any of the groups G02B1/00 - G02B26/00, G02B30/00 for optical correction, e.g. distorsion, aberration
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- G—PHYSICS
- G02—OPTICS
- G02B—OPTICAL ELEMENTS, SYSTEMS OR APPARATUS
- G02B27/00—Optical systems or apparatus not provided for by any of the groups G02B1/00 - G02B26/00, G02B30/00
- G02B27/0081—Optical systems or apparatus not provided for by any of the groups G02B1/00 - G02B26/00, G02B30/00 with means for altering, e.g. enlarging, the entrance or exit pupil
Abstract
The invention discloses the freeform optics system optimization methods of a kind of faying face shape and visual field optimisation strategy.This method is to characterize each term coefficient of Zernike standard polynomial of optical system wavefront aberration as Appreciation gist, optimization process is carried out with the Step wise approximation strategy that visual field optimization combines using the optimization of face shape, steps are as follows: choosing initial small field of view first, according to the XY multinomial and polynomial relation model of foundation, every one-step optimization targetedly finds out system aberration maximal term, choosing corresponding XY Polynomial Terms in free-curved-surface shape is used as newly-increased variable to optimize balance to aberration, meanwhile the weight of each visual field of wave aberration rms value synchronous adjustment according to each visual field of system；After optimization acquisition meets the structure of performance indicator within the scope of small field of view, visual field is gradually expanded, repeats above-mentioned Optimization Steps, until obtaining the optical system structure parameter within the scope of full filed.The present invention has visual field big, and optimal speed is fast, there is aberration specific aim and directiveness.
Description
Technical field
The invention belongs to optical design arts, and in particular to a kind of free form surface light of faying face shape and visual field optimisation strategy
Learn system optimization method.
Background technique
Free form surface Designs of reflective off-axis system method is widely used in off axis reflector of the design containing free form surface
Formula optical system.In recent years, free form surface Designs of reflective off-axis system method has been achieved for very big progress.In order to
Realize the optical system with heavy caliber and big visual field, some freeform optics design methods are suggested, such as Zhu Jun
Deng in " Design method of freeform off-axis reflective imaging systems with a
Direct construction process " the free form surface off-axis reflection imaging system directly side of design that proposes in a text
Method and Meng Qingyu etc. are in " Off-axis three-mirror freeform telescope with a large
Linear field of view based on an integration mirror " propose in a text utilize free form surface
Every correction relationship with aberration corrects system aberration using XY multinomial, and big visual field heavy caliber may be implemented in these methods
Designs of reflective off-axis system.Free form surface Designs of reflective off-axis system method is one and passes through optimized variable
The method of the system met the requirements, normal army etc., will be from " Design on Three-Reflective-Mirror System for space " text
Three reflecting optical system design method of axis is successfully applied to the design processing of space camera.
Free form surface Designs of reflective off-axis system method is the initial configuration by solving axis reflector formula system,
Then on the basis of coaxial initial configuration, off-axisization processing is carried out to optical system.Obtain off-axisization treated optical system
The free form surface of system is characterized using multinomial, is then increased optimized variable to free form surface and is optimized to system, finally obtains
Meet the off-axis reflection optical system of technical indicator.Since free form surface is there are description method is incomplete, for reference
Example is less, and image quality balances the problems such as difficulty is big and Boundary Condition Control is complicated, the design optimization of freeform optics system
Difficulty is larger.The hits of the visual field of free form surface off-axis system is more, and ray tracing quantity is more, and time-consuming, and optical system is flat
The aberration that weighs is complicated, and optimization difficulty also becomes larger therewith.
In order to preferably characterize free form surface, it is radial that researcher proposes Zernike multinomial, XY multinomial, Gauss
The methods of basic function and non-uniform rational B-spline characterize free-curved-surface shape.These methods are available correctly
Forms of characterization, but need a large amount of calculate.Optimize difficulty and raising optimization efficiency to reduce simultaneously, new wait " is being based on
The freeform optics system aberration characteristic research of vector aberration " in a text, proposes the free form surface based on vector aberration and set
Meter method.By vector Aberration Analysis, the aberration characteristic of optical system can analyze.This method mainly analyzes aberration characteristic,
But in optimization process, the correction of aberration is lack of pertinence.
Summary of the invention
The purpose of the present invention is to provide the freeform optics system optimizations of a kind of faying face shape and visual field optimisation strategy
Method targetedly corrects the off-axis reflection optical aberration containing free form surface, improves Optical System Design optimization
Efficiency.
The technical solution for realizing the aim of the invention is as follows: a kind of free form surface light of faying face shape and visual field optimisation strategy
System optimization method is learned, method and step is as follows:
Step 1 establishes off-axis three anti-initial configurations:
With reference to the example of off-axis three reflecting optical system, a three-mirror reflection optical system initial configuration is chosen；
Step 2 carries out structure limitation to off-axis three anti-initial configurations:
Off-axisization processing is carried out on the basis of axis reflector formula optical system, utilizes the limit of the correspondence optical system write
The macrolanguage that light processed blocks, is called in evaluation function, the structure of control system, obtain off-axis system initial configuration and
Initial visual field；
Step 3, faying face shape optimize the visual field weight of increased optimized variable and visual field optimization, and it is excellent to carry out face shape to system
Change and visual field optimizes；
Step 4 judges whether optimum results meet the technical requirements, if being unsatisfactory for current field requirement, goes to step
Rapid 3 pairs of systems continue face shape and visual field optimization；If being unsatisfactory for that field range is required to require, visual field is carried out to system and is opened up
Exhibition then goes to step 3 and visual field and face shape is combined to optimize system；If meeting current field index request and visual field model
It encloses and meets index request, then terminate to optimize.
Further, the method and step of the optimization of face shape described in step 3 is as follows:
1) the Zernike standard polynomial coefficient C of export subitem characterizationijLater, entire field items Zernike system is calculated
Number quadratic sumWherein 4≤j≤37；
2) Zernike coefficient quadratic sum maximal term is found out, P is denoted asm；
3) maximal term P is foundmThe corresponding polynomial free term x of XYmyn；
4) judge maximal term PmThe corresponding polynomial free term x of XYmynWhether middle m is even number, and not as optimization
Variable goes to step 6) if meeting the two conditions, if not satisfied, then going to step 5)；
5) Zernike P is removedm, coefficient quadratic sum maximal term in residual term is found out, P is denoted asm；
6) by xmynIt is set as optimized variable.
Further, the method and step of the optimization of visual field described in step 3 is as follows:
1) visual field optimization, the Zernike standard polynomial coefficient C of export subitem characterization are carried out to systemij, list is calculated
Every Zernike standard polynomial coefficient quadratic sum of a visual field
2) each visual field RMS value average value is calculated
3) every Zernike standard polynomial coefficient quadratic sum Q of single visual field is calculatediDivided by quadratic sum average value A, obtain
To Wi=Qi/ A, by WiOptimization weight as each visual field.
Compared with prior art, the present invention its remarkable advantage is:
(1) visual field is big: compared with other free form surface Designs of reflective off-axis system methods, this method can be excellent
Visual field is expanded during changing, therefore can obtain biggish field range；
(2) optimal speed is fast: the optimization of this method faying face shape and visual field optimize the two aspects and optimize to system, energy
Optimal speed is greatly improved, optimization efficiency is improved；
(3) aberration specific aim: the relationship between this method combination Zernike multinomial and XY multinomial, for specific picture
Poor item is corrected, and has aberration specific aim in optimization process；
(4) guiding: due to all undisclosed specific behaviour of other free form surface Designs of reflective off-axis system methods
Make step, disclosed herein is specific operating procedures, have directiveness to Optical System Design.
Detailed description of the invention
Fig. 1 is that structure of the invention limits schematic diagram.
Fig. 2 is the schematic diagram that visual field of the invention is expanded.
Fig. 3 is system construction drawing for 1 simulation result of the embodiment of the present invention.
Fig. 4 is the modulation transfer function curve graph in 1 simulation result system optimisation process of the embodiment of the present invention.
Fig. 5 is the free form surface Designs of reflective off-axis system of faying face shape of the present invention optimization and visual field optimisation strategy
Method flow diagram.
Specific embodiment
Present invention is further described in detail with reference to the accompanying drawing.
In conjunction with Fig. 1~5, the freeform optics system optimization method of faying face shape and visual field optimisation strategy of the present invention, side
Steps are as follows for method:
Step 1 establishes off-axis three anti-initial configurations:
With reference to the example of off-axis three reflecting optical system, a three-mirror reflection optical system initial configuration is chosen；
Step 2, in conjunction with Fig. 1, structure limitations are carried out to off-axis three anti-initial configurations:
Off-axisization processing is carried out on the basis of axis reflector formula optical system, utilizes the limit of the correspondence optical system write
The macrolanguage that light processed blocks, is called in evaluation function, the structure of control system, obtain off-axis system initial configuration and
Initial visual field；
Step 3, faying face shape optimize the visual field weight of increased optimized variable and visual field optimization, and it is excellent to carry out face shape to system
Change and visual field optimizes；
Step 4 judges whether optimum results meet the technical requirements, if being unsatisfactory for current field requirement, goes to step
Rapid 3 pairs of systems continue face shape and visual field optimization；If being unsatisfactory for that field range is required to require, visual field is carried out to system and is opened up
Exhibition combines visual field and face shape to optimize system as shown in Fig. 2, then going to step 3；If meeting current field index request
And field range meets index request, then terminates to optimize.
Further, the method and step of the optimization of face shape described in step 3 is as follows:
1) the Zernike standard polynomial coefficient C of export subitem characterizationijLater, entire field items Zernike system is calculated
Number quadratic sumWherein 4≤j≤37；
2) Zernike coefficient quadratic sum maximal term is found out, P is denoted asm；
3) maximal term P is foundmThe corresponding polynomial free term x of XYmyn；
4) judge maximal term PmThe corresponding polynomial free term x of XYmynWhether middle m is even number, and not as optimization
Variable goes to step 6) if meeting the two conditions, if not satisfied, then going to step 5)；
5) Zernike P is removedm, coefficient quadratic sum maximal term in residual term is found out, P is denoted asm；
6) by xmynIt is set as optimized variable.
Further, the method and step of the optimization of visual field described in step 3 is as follows:
1) visual field optimization, the Zernike standard polynomial coefficient C of export subitem characterization are carried out to systemij, list is calculated
Every Zernike standard polynomial coefficient quadratic sum of a visual field
2) each visual field RMS value average value is calculated
3) every Zernike standard polynomial coefficient quadratic sum Q of single visual field is calculatediDivided by quadratic sum average value A, obtain
To Wi=Qi/ A, by WiOptimization weight as each visual field.
Fig. 3 is system construction drawing for 1 simulation result of the embodiment of the present invention.Fig. 4 is the emulation knot of the embodiment of the present invention 1
Modulation transfer function curve graph in fruit system optimisation process.
In conjunction with Fig. 5, the free form surface off-axis reflection optical system of a kind of optimization of faying face shape and visual field optimisation strategy is set
Meter method, method and step are as follows:
Step 1 establishes off-axis three anti-initial configurations:
With reference to the example of off-axis three reflecting optical system, off-axisization is carried out on the basis of three-mirror reflection optical system and is handled
To initial configuration, system focal length 1200mm, F number 12, wavelength uses the He-Ne Lasers of 632.8nm, and wherein primary mirror is that even is non-
Spherical surface, secondary mirror are spherical mirror, and three mirrors are the free form surfaces using XY multinomial characterization.
Step 2 carries out structure limitation to off-axis three anti-initial configurations:
The macrolanguage blocked using the limitation light of the correspondence optical system write, is called in evaluation function,
The structure of control system obtains initial configuration and initial visual field.
Step 3, under the structure of initial visual field, export subitem characterization Zernike standard polynomial coefficient Cij, calculate complete
Portion's visual field items Zernike coefficient quadratic sumIt is found out according to Fig. 5 process drawing shape optimisation strategy
Zernike coefficient quadratic sum maximal term；Find the polynomial free term of the corresponding XY of maximal term；The corresponding polynomial freedom of XY
M is even number in, and is not used as optimized variable, meets the two conditions, sets optimized variable for free term.
Step 4 carries out visual field optimization, the Zernike standard polynomial coefficient C of export subitem characterization to current systemij, press
Every Zernike standard polynomial coefficient quadratic sum of single visual field is calculated according to Fig. 5 flow chart visual field optimisation strategyEach visual field RMS value average value is calculatedCalculate every Zernike of single visual field
Standard polynomial coefficient quadratic sum QiDivided by quadratic sum average value A, W is obtainedi=Qi/ A, by WiOptimization as each visual field is weighed
Weight.
Step 5, faying face shape optimize the visual field weight of increased optimized variable and visual field optimization, optimize to system,
Optimize shown in obtained result such as Fig. 4 (a), meets the requirement of current techniques index；
The field range of step 6, at this time system is unsatisfactory for index request, needs to carry out visual field expansion to system；
Step 7 carries out visual field expansion to system；
Step 8, the Zernike standard polynomial coefficient C that the system export subitem after expansion visual field is characterizedij, calculate complete
Portion's visual field items Zernike coefficient quadratic sumIt is found out according to Fig. 5 process drawing shape optimisation strategy
Zernike coefficient quadratic sum maximal term；Find the polynomial free term of the corresponding XY of maximal term；The corresponding polynomial freedom of XY
M is even number in, and is not used as optimized variable, meets the two conditions, sets optimization for XY multinomial free term and becomes
Amount；
Step 9 carries out visual field optimization, the Zernike standard polynomial of export subitem characterization to the system after expansion visual field
Coefficient Cij, put down according to every Zernike standard polynomial coefficient that single visual field is calculated in Fig. 5 flow chart visual field optimisation strategy
Fang HeEach visual field RMS value average value is calculatedCalculate the items of single visual field
Zernike standard polynomial coefficient quadratic sum QiDivided by quadratic sum average value A, W is obtainedi=Qi/ A, by WiAs each visual field
Optimize weight.
Step 10, faying face shape optimize the visual field weight of increased optimized variable and visual field optimization, optimize to system,
Optimize shown in obtained result such as Fig. 4 (b), meets the requirement of current techniques index
The field range of step 11, at this time system is unsatisfactory for index request, needs to carry out visual field expansion to system；
Step 12 carries out visual field expansion to system；
Step 13, the Zernike standard polynomial coefficient C that the system export subitem after expansion visual field is characterizedij, calculate complete
Portion's visual field items Zernike coefficient quadratic sumIt is found out according to Fig. 5 process drawing shape optimisation strategy
Zernike coefficient quadratic sum maximal term；Find the polynomial free term of the corresponding XY of maximal term；The corresponding polynomial freedom of XY
M is even number in, and is not used as optimized variable, meets the two conditions, sets optimization for XY multinomial free term and becomes
Amount；
Step 14 carries out visual field optimization, the Zernike standard polynomial of export subitem characterization to the system after expansion visual field
Coefficient Cij, put down according to every Zernike standard polynomial coefficient that single visual field is calculated in Fig. 5 flow chart visual field optimisation strategy
Fang HeEach visual field RMS value average value is calculatedCalculate the items of single visual field
Zernike standard polynomial coefficient quadratic sum QiDivided by quadratic sum average value A, W is obtainedi=Qi/ A, by WiAs each visual field
Optimize weight.
Step 15, faying face shape optimize the visual field weight of increased optimized variable and visual field optimization, optimize to system,
Optimize shown in obtained result such as Fig. 4 (c), does not meet the requirement of current techniques index, need to system faying face shape and visual field
Optimisation strategy advanced optimizes system；
Step 16, the Zernike standard polynomial coefficient C that the system export subitem after expansion visual field is characterizedij, calculate complete
Portion's visual field items Zernike coefficient quadratic sumIt is found out according to Fig. 5 process drawing shape optimisation strategy
Zernike coefficient quadratic sum maximal term；Find the polynomial free term of the corresponding XY of maximal term；The corresponding polynomial freedom of XY
M is even number in, and is not used as optimized variable, meets the two conditions, sets optimization for XY multinomial free term and becomes
Amount；
Step 17 carries out visual field optimization, the Zernike standard polynomial of export subitem characterization to the system after expansion visual field
Coefficient Cij, put down according to every Zernike standard polynomial coefficient that single visual field is calculated in Fig. 5 flow chart visual field optimisation strategy
Fang HeEach visual field RMS value average value is calculatedCalculate the items of single visual field
Zernike standard polynomial coefficient quadratic sum QiDivided by quadratic sum average value A, W is obtainedi=Qi/ A, by WiAs each visual field
Optimize weight.
Step 18, faying face shape optimize the visual field weight of increased optimized variable and visual field optimization, optimize to system,
Optimize shown in obtained result such as Fig. 4 (d), does not meet the requirement of current techniques index, need to system faying face shape and visual field
Optimisation strategy advanced optimizes system；
Step 19, the Zernike standard polynomial coefficient C that the system export subitem after expansion visual field is characterizedij, calculate complete
Portion's visual field items Zernike coefficient quadratic sumIt is found out according to Fig. 5 process drawing shape optimisation strategy
Zernike coefficient quadratic sum maximal term；Find the polynomial free term of the corresponding XY of maximal term；The corresponding polynomial freedom of XY
M is even number in, and is not used as optimized variable, meets the two conditions, sets optimization for XY multinomial free term and becomes
Amount；
Step 20 carries out visual field optimization, the Zernike standard polynomial of export subitem characterization to the system after expansion visual field
Coefficient Cij, put down according to every Zernike standard polynomial coefficient that single visual field is calculated in Fig. 5 flow chart visual field optimisation strategy
Fang HeEach visual field RMS value average value is calculatedCalculate the items of single visual field
Zernike standard polynomial coefficient quadratic sum QiDivided by quadratic sum average value A, W is obtainedi=Qi/ A, by WiAs each visual field
Optimize weight.
Step 21, faying face shape optimize the visual field weight of increased optimized variable and visual field optimization, optimize to system,
Optimize shown in obtained result such as Fig. 4 (e), meets the requirement of current techniques index；
The field range of step 22, at this time system meets index request, terminates optimization.
Embodiment 1
A kind of free form surface Designs of reflective off-axis system method of faying face shape optimization and visual field optimisation strategy, side
Steps are as follows for method:
Step 1 establishes off-axis three anti-initial configurations:
With reference to the example of off-axis three reflecting optical system, off-axisization is carried out on the basis of three-mirror reflection optical system and is handled
To initial configuration, system focal length 1200mm, F number 12, wavelength uses the He-Ne Lasers of 632.8nm, and wherein primary mirror is that even is non-
Spherical surface, secondary mirror are spherical mirror, and three mirrors are the free form surfaces using XY multinomial characterization.
Step 2 carries out structure limitation to off-axis three anti-initial configurations:
The macrolanguage blocked using the limitation light of the correspondence optical system write, is called in evaluation function,
The structure of control system obtains initial configuration and 0 ° × 3 ° of initial visual field.
Step 3, under the structure of initial visual field, export subitem characterization Zernike standard polynomial coefficient Cij, calculate complete
Portion's visual field items Zernike coefficient quadratic sumIt is found out according to Fig. 5 flow chart visual field optimisation strategy
Zernike coefficient quadratic sum maximal term, at this time Pm=P4；Find maximal term P4The corresponding polynomial free term of XY is x2And y2
?；P4The corresponding polynomial free term x of XY2And y2M is even number in, and is not used as optimized variable, meets the two
Part, by x2And y2Item is set as optimized variable.
Step 4 carries out visual field optimization, the Zernike standard polynomial coefficient C of export subitem characterization to systemij, according to figure
Every Zernike standard polynomial coefficient quadratic sum of single visual field is calculated in 5 flow chart visual field optimisation strategiesEach visual field RMS value average value is calculatedCalculate every Zernike of single visual field
Standard polynomial coefficient quadratic sum QiDivided by quadratic sum average value A, W is obtainedi=Qi/ A, by WiOptimization as each visual field is weighed
Weight.
Step 5, faying face shape optimize the visual field weight of increased optimized variable and visual field optimization, optimize to system,
Optimize the requirement for meeting current techniques index shown in obtained result such as Fig. 4 (a)；
Step 6 judges whether the visual field size of system at this time meets index request, and visual field is undesirable at this time, needs
Visual field expansion is carried out to system；
Step 7 carries out visual field expansion to system；
Step 8, expand visual field structure under, export subitem characterization Zernike standard polynomial coefficient Cij, calculate complete
Portion's visual field items Zernike coefficient quadratic sumIt is found out according to Fig. 5 process drawing shape optimisation strategy
Zernike coefficient quadratic sum maximal term, at this time Pm=P6；Find maximal term P6The corresponding polynomial free term of XY is x2And y2
?；P6The corresponding polynomial free term x of XY of item2And y2M is even number in, however has been used as optimized variable, it is therefore desirable to be given up
Abandon P6, the step of optimization according to Fig. 5 process drawing shape, continue to export entire field items Zernike coefficient quadratic sumZernike coefficient quadratic sum maximal term is found out, at this time Pm=P4, with P6Similar, the corresponding XY of item
Polynomial free term x2And y2M is even number in, however has been used as optimized variable, it is therefore desirable to give up P4, continue to export
Entire field items Zernike coefficient quadratic sumZernike coefficient quadratic sum maximal term is found out,
P at this timem=P5, m is odd number in polynomial free term xy of corresponding XY, is unsatisfactory for the condition as optimized variable, gives up P5
?；Therefore it needs to continue to export entire field items Zernike coefficient quadratic sumIt finds out
Zernike coefficient quadratic sum maximal term, at this time Pm=P7, corresponding P7The polynomial free term x of XY2Y, y and y3M is even in
Number, and it is not used as optimized variable, therefore, by x2Y, y and y3Item is used as optimized variable；；
Step 9 carries out visual field optimization, the Zernike standard polynomial coefficient C of export subitem characterization to systemij, calculate
To every Zernike standard polynomial coefficient quadratic sum of single visual fieldOptimize plan according to Fig. 5 flow chart visual field
Each visual field RMS value average value is slightly calculatedThe every Zernike standard for calculating single visual field is multinomial
Formula coefficient quadratic sum QiDivided by quadratic sum average value A, W is obtainedi=Qi/ A, by WiOptimization weight as each visual field.
Step 10, faying face shape optimize the visual field weight of increased optimized variable and visual field optimization, optimize to system,
Optimize the requirement for meeting current techniques index shown in obtained result such as Fig. 4 (b)；
Step 11 judges whether the visual field size of system at this time meets index request, and visual field is undesirable at this time, needs
Visual field expansion is carried out to system；
Step 12 carries out visual field expansion to system；
The wave aberration coefficient that step 13, the system Zernike for exporting optical system at this time are characterized, according to Fig. 5 process drawing
Shape optimisation strategy calculates each visual field individual event aberration coefficients quadratic sum situation.The Zernike standard polynomial system of export subitem characterization
Number Cij, calculate entire field items Zernike coefficient quadratic sumAccording to the face in Fig. 5 flow chart
Shape optimisation strategy, P4、P6、P5、P8、P7、P9The corresponding polynomial item of XY is unsatisfactory for two conditions as optimized variable, needs
Give up this six, finds out Zernike coefficient quadratic sum maximal term according to Fig. 5 flow chart visual field optimisation strategy, at this time Pm=P11；It looks for
To maximal term P11The corresponding polynomial free term of XY is x4、x2y2And y4?；P11The corresponding polynomial free term x of XY4、x2y2
And y4M is even number in, and is not used as optimized variable, meets the two conditions, by x4、x2y2And y4Item this three is set as
Optimized variable.
Step 14 carries out visual field optimization, the Zernike standard polynomial coefficient C of export subitem characterization to systemij, according to
Every Zernike standard polynomial coefficient quadratic sum of single visual field is calculated in Fig. 5 flow chart visual field optimisation strategyEach visual field RMS value average value is calculatedCalculate every Zernike of single visual field
Standard polynomial coefficient quadratic sum QiDivided by quadratic sum average value A, W is obtainedi=Qi/ A, by WiOptimization as each visual field is weighed
Weight.
Step 16, faying face shape optimize the visual field weight of increased optimized variable and visual field optimization, optimize to system,
The requirement of current techniques index is not met shown in the result optimized at this time such as Fig. 4 (c), it is therefore desirable to continue to carry out system
Face shape and visual field optimization；
The wave aberration coefficient that step 17, the system Zernike for exporting optical system at this time are characterized, according to Fig. 5 process drawing
Shape optimisation strategy calculates each visual field individual event aberration coefficients quadratic sum situation.The Zernike standard polynomial system of export subitem characterization
Number Cij, calculate entire field items Zernike coefficient quadratic sumAccording to the face in Fig. 5 flow chart
Shape optimisation strategy, P4To P16The corresponding polynomial item of XY of item is unsatisfactory for two conditions as optimized variable, needs to give up this
A little items find out Zernike coefficient quadratic sum maximal term according to Fig. 5 flow chart visual field optimisation strategy, at this time Pm=P17；Find maximum
Item P17The corresponding polynomial free term of XY is x4y、x2y3And y5?；P17The corresponding polynomial free term x of XY4y、x2y3And y5
M is even number in, and is not used as optimized variable, meets the two conditions, by x4y、x2y3And y5Item this three is set as excellent
Change variable.
Step 18 carries out visual field optimization, the Zernike standard polynomial coefficient C of export subitem characterization to systemij, according to
Every Zernike standard polynomial coefficient quadratic sum of single visual field is calculated in Fig. 5 flow chart visual field optimisation strategyEach visual field RMS value average value is calculatedCalculate every Zernike of single visual field
Standard polynomial coefficient quadratic sum QiDivided by quadratic sum average value A, W is obtainedi=Qi/ A, by WiOptimization as each visual field is weighed
Weight.
Step 19, faying face shape optimize the visual field weight of increased optimized variable and visual field optimization, optimize to system,
The requirement of current techniques index is not met shown in the result optimized at this time such as Fig. 4 (d), it is therefore desirable to continue to carry out system
Face shape and visual field optimization；
The wave aberration coefficient that step 20, the system Zernike for exporting optical system at this time are characterized, according to Fig. 5 process drawing
Shape optimisation strategy calculates each visual field individual event aberration coefficients quadratic sum situation.The Zernike standard polynomial system of export subitem characterization
Number Cij, calculate entire field items Zernike coefficient quadratic sumAccording to the face in Fig. 5 flow chart
Shape optimisation strategy, P4To P21The corresponding polynomial item of XY of item is unsatisfactory for two conditions as optimized variable, needs to give up, press
Zernike coefficient quadratic sum maximal term is found out according to Fig. 5 flow chart visual field optimisation strategy, at this time Pm=P22；Find maximal term P22It is right
The polynomial free term of the XY answered is x6、x2y4、x4y2And y6?；P22The corresponding polynomial free term x of XY6、x2y4、x4y2And y6
M is even number in, and is not used as optimized variable, meets the two conditions, by x6、x2y4、x4y2And y6This four settings of item
For optimized variable.
Step 21 carries out visual field optimization, the Zernike standard polynomial coefficient C of export subitem characterization to systemij, according to
Every Zernike standard polynomial coefficient quadratic sum of single visual field is calculated in Fig. 5 flow chart visual field optimisation strategyEach visual field RMS value average value is calculatedCalculate every Zernike of single visual field
Standard polynomial coefficient quadratic sum QiDivided by quadratic sum average value A, W is obtainedi=Qi/ A, by WiOptimization as each visual field is weighed
Weight.
Step 22, faying face shape optimize the visual field weight of increased optimized variable and visual field optimization, optimize to system,
Optimize shown in obtained result such as Fig. 4 (e), meets the requirement of current techniques index；
Step 23 judges that the field range of system at this time meets index request, terminates optimization.
The present invention can targetedly correct light compared with other contain the off-axis reflection optical system of free form surface
Aberration in system, therefore, optimization have specific aim, and optimal speed improves, and optimization efficiency increases.Simultaneously in optimization process
Visual field is gradually expanded, biggish field range can be obtained.The step of the invention discloses specific design methods, for containing
The Designs of reflective off-axis system of free form surface has directive significance.
Claims (2)
1. the freeform optics system optimization method of a kind of faying face shape and visual field optimisation strategy, which is characterized in that method step
It is rapid as follows:
Step 1 establishes off-axis three anti-initial configurations:
With reference to the example of off-axis three reflecting optical system, a three-mirror reflection optical system initial configuration is chosen；
Step 2 carries out structure limitation to off-axis three anti-initial configurations:
Off-axisization processing is carried out on the basis of axis reflector formula optical system, utilizes the limitation light of the correspondence optical system write
The macrolanguage that line blocks, is called in evaluation function, the structure of control system, obtains off-axis system initial configuration and initial
Visual field；
Step 3, faying face shape optimize increased optimized variable and visual field optimization visual field weight, to system carry out face shape optimization and
Visual field optimization；
Step 4 judges whether optimum results meet the technical requirements, if being unsatisfactory for current field requirement, it is right to go to step 3
System continues face shape and visual field optimization；If being unsatisfactory for that field range is required to require, visual field expansion is carried out to system, then
Going to step 3 combines visual field and face shape to optimize system；If meeting current field index request and field range meeting
Index request then terminates to optimize；
The method and step of the optimization of face shape described in step 3 is as follows:
1) the Zernike standard polynomial coefficient C of export subitem characterizationijLater, it is flat to calculate entire field items Zernike coefficient
Fang HeWherein 4≤j≤37；
2) Zernike coefficient quadratic sum maximal term is found out, P is denoted asm；
3) maximal term P is foundmThe corresponding polynomial free term x of XYmyn；
4) judge maximal term PmThe corresponding polynomial free term x of XYmynWhether middle m is even number, and is not become as optimization
Amount, if meeting the two conditions, goes to step 6), if not satisfied, then going to step 5)；
5) Zernike P is removedm, coefficient quadratic sum maximal term in residual term is found out, P is denoted asm；
6) by xmynIt is set as optimized variable.
2. the freeform optics system optimization method of faying face shape according to claim 1 and visual field optimisation strategy,
It is characterized in that, the method and step of the optimization of visual field described in step 3 is as follows:
1) visual field optimization, the Zernike standard polynomial coefficient C of export subitem characterization are carried out to systemij, single view is calculated
Every Zernike standard polynomial coefficient quadratic sum of field
2) each visual field RMS value average value is calculated
3) every Zernike standard polynomial coefficient quadratic sum Q of single visual field is calculatediDivided by quadratic sum average value A, W is obtainedi
=Qi/ A, by WiOptimization weight as each visual field.
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