CN107219626A - 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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- CN107219626A CN107219626A CN201710528468.1A CN201710528468A CN107219626A CN 107219626 A CN107219626 A CN 107219626A CN 201710528468 A CN201710528468 A CN 201710528468A CN 107219626 A CN107219626 A CN 107219626A
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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
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Abstract
The invention discloses the freeform optics system optimization method of a kind of faying face shape and visual field optimisation strategy.Zernike standard polynomial each term coefficient of this method to characterize optical system wavefront aberration is optimized using face shape as Appreciation gist and optimizes the Step wise approximation strategy being combined development optimization process with visual field, step is as follows：Initial small field of view is chosen first, according to the XY multinomials and polynomial relation model of foundation, system aberration maximal term is targetedly found out per one-step optimization, choose corresponding XY Polynomial Terms in free-curved-surface shape and balance is optimized to aberration as newly-increased variable, meanwhile, according to the weight of each visual field of wave aberration rms value synchronous adjustments of each visual field of system；Optimization is obtained in the range of the small field of view meet the structure of performance indications after, progressively expand visual field, repeat above-mentioned Optimization Steps, until obtaining the optical system structure parameter in the range 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 technology
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
The optical system with heavy caliber and big visual field is realized, some freeform optics design methods are suggested, such as Zhu Jun
Deng,《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 proposed in one text
Method, and Meng Qingyu etc. exist《Off-axis three-mirror freeform telescope with a large
linear field of view based on an integration mirror》The utilization free form surface proposed in one text
Every correction relationship with aberration, system aberration is corrected using XY multinomials, and these methods can realize big visual field heavy caliber
Designs of reflective off-axis system.Free form surface Designs of reflective off-axis system method is one by optimized variable
It is met the method for the system of requirement, normal army etc. exists《Design on Three-Reflective-Mirror System for space》, will be from one text
The reflecting optical system design method of axle three 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 the optical system after off-axisization processing
The free form surface of system is characterized using multinomial, and then free form surface increase optimized variable is optimized to system, finally given
Meet the off-axis reflection optical system of technical indicator.Because free form surface is present, description method is not perfect enough, is available for what is used for reference
Example is less, the problems such as balancing big difficulty and complicated Boundary Condition Control as matter, 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 put down
The aberration that weighs is complicated, and optimization difficulty also becomes big therewith.
In order to preferably characterize free form surface, researcher proposes Zernike multinomials, XY multinomials, Gauss radially
The method such as basic function and non-uniform rational B-spline is characterized to free-curved-surface shape.These methods can be obtained correctly
Forms of characterization, but need substantial amounts of calculate.In order to reduce optimization difficulty simultaneously and improve optimization efficiency, new wait is opened《It is based on
The freeform optics system aberration characteristic research of vector aberration》In one text, it is proposed that the free form surface based on vector aberration is set
Meter method.By vector Aberration Analysis, the aberration characteristic of optical system can be analyzed.This method is mainly analysis aberration characteristic,
But in optimization process, to the correction lack of targeted of aberration.
The content of the invention
It is an object of the invention to provide the freeform optics system optimization 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 object of the invention is：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, set up 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, 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, the limit of the corresponding optical system write is utilized
The macrolanguage that light processed is blocked, 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 optimization；
Step 4, judge whether optimum results meet the technical requirements, if being unsatisfactory for current field requirement, go to step
Rapid 3 pairs of systems proceed face shape and visual field optimization；If being unsatisfactory for requiring field range requirement, carrying out visual field to system opens up
Exhibition, then goes to step 3 combination visual field and face shape is optimized to system；If meeting current field index request and visual field model
Enclose and meet index request, then terminate optimization.
Further, the method and step that face shape described in step 3 optimizes is as follows：
1) the Zernike standard polynomial coefficients C that export subitem is characterizedijAfterwards, entire field items Zernike systems are calculated
Number quadratic sumWherein 4≤j≤37；
2) Zernike coefficient quadratic sum maximal terms are found out, P is denoted asm；
3) maximal term P is foundmThe corresponding polynomial free term x of XYmyn；
4) maximal term P is judgedmThe corresponding polynomial free term x of XYmynWhether middle m is even number, and not as optimization
Variable, if meeting the two conditions, goes to step 6), if it is 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 to optimized variable.
Further, the method and step that visual field described in step 3 optimizes is as follows：
1) visual field optimization, the Zernike standard polynomial coefficients C that export subitem is characterized are carried out to systemij, calculate and obtain list
Every Zernike standard polynomials coefficient quadratic sum of individual visual field
2) calculate and obtain each visual field RMS value average value
3) every Zernike standard polynomials coefficient quadratic sum Q of single visual field is calculatediDivided by quadratic sum average value A, obtain
To Wi=Qi/ A, by WiIt is used as the optimization weight of each visual field.
Compared with prior art, its remarkable advantage is the present invention：
(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 change, therefore larger field range can be obtained；
(2) optimal speed is fast：This method faying face shape optimizes and visual field optimizes the two aspects and system is optimized, energy
Optimal speed is greatly improved, optimization efficiency is improved；
(3) aberration specific aim：Relation between this method combination Zernike multinomials and XY multinomials, for specific picture
Poor item is corrected, and has aberration specific aim in optimization process；
(4) it is 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 procedure, there is directiveness to Optical System Design.
Brief description of the drawings
Fig. 1 is that structure of the present invention limits schematic diagram.
The schematic diagram that Fig. 2 expands for the visual field of the present invention.
Fig. 3 is system construction drawing for the simulation result of embodiments of the invention 1.
Fig. 4 is the modulation transfer function curve map in the simulation result system optimisation process of embodiments of the invention 1.
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.
Embodiment
The present invention is described in further detail below in conjunction with the accompanying drawings.
With reference to Fig. 1~5, the freeform optics system optimization method of faying face shape and visual field optimisation strategy of the present invention, side
Method step is as follows：
Step 1, set up 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, with reference to 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, the limit of the corresponding optical system write is utilized
The macrolanguage that light processed is blocked, 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 optimization；
Step 4, judge whether optimum results meet the technical requirements, if being unsatisfactory for current field requirement, go to step
Rapid 3 pairs of systems proceed face shape and visual field optimization；If being unsatisfactory for requiring field range requirement, carrying out visual field to system opens up
Exhibition, as shown in Fig. 2 then going to, step 3 combines visual field and face shape is optimized to system；If meeting current field index request
And field range meets index request, then terminate optimization.
Further, the method and step that face shape described in step 3 optimizes is as follows：
1) the Zernike standard polynomial coefficients C that export subitem is characterizedijAfterwards, entire field items Zernike systems are calculated
Number quadratic sumWherein 4≤j≤37；
2) Zernike coefficient quadratic sum maximal terms are found out, P is denoted asm；
3) maximal term P is foundmThe corresponding polynomial free term x of XYmyn；
4) maximal term P is judgedmThe corresponding polynomial free term x of XYmynWhether middle m is even number, and not as optimization
Variable, if meeting the two conditions, goes to step 6), if it is 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 to optimized variable.
Further, the method and step that visual field described in step 3 optimizes is as follows：
1) visual field optimization, the Zernike standard polynomial coefficients C that export subitem is characterized are carried out to systemij, calculate and obtain list
Every Zernike standard polynomials coefficient quadratic sum of individual visual field
2) calculate and obtain each visual field RMS value average value
3) every Zernike standard polynomials coefficient quadratic sum Q of single visual field is calculatediDivided by quadratic sum average value A, obtain
To Wi=Qi/ A, by WiIt is used as the optimization weight of each visual field.
Fig. 3 is system construction drawing for the simulation result of embodiments of the invention 1.Fig. 4 is that embodiments of the invention 1 emulate knot
Modulation transfer function curve map in fruit system optimisation process.
With reference to Fig. 5, the free form surface off-axis reflection optical system of a kind of faying face shape optimization and visual field optimisation strategy is set
Meter method, method and step is as follows：
Step 1, set up off-axis three anti-initial configurations：
With reference to the example of off-axis three reflecting optical system, on the basis of three-mirror reflection optical system carrying out off-axisization is handled
To initial configuration, system focal length is 1200mm, and F numbers 12, wavelength uses 632.8nm He-Ne Lasers, and wherein primary mirror is that even is non-
Sphere, secondary mirror is spherical mirror, and three mirrors are the free form surfaces characterized using XY multinomials.
Step 2, structure limitations are carried out to off-axis three anti-initial configurations：
The macrolanguage blocked using the limitation light of the corresponding 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 characterize Zernike standard polynomial coefficients Cij, calculate complete
Portion visual field items Zernike coefficient quadratic sumsFound out according to Fig. 5 flow drawing shape optimisation strategies
Zernike coefficient quadratic sum maximal terms；Find the polynomial free terms of the corresponding XY of maximal term；The corresponding polynomial freedom of XY
M is even number in, and not as optimized variable, meets the two conditions, free term is set into optimized variable.
Step 4, to current system carry out visual field optimization, export subitem characterize Zernike standard polynomial coefficients Cij, press
The every Zernike standard polynomials coefficient quadratic sum for obtaining single visual field is calculated according to Fig. 5 flow charts visual field optimisation strategyCalculating obtains each visual field RMS value average valueCalculate every Zernike marks of single visual field
Quasi-polynomial coefficient quadratic sum QiDivided by quadratic sum average value A, obtain Wi=Qi/ A, by WiIt is used as the optimization weight of each visual field.
Step 5, faying face shape optimize the visual field weight of increased optimized variable and visual field optimization, and system is optimized,
Optimize shown in obtained result such as Fig. 4 (a), meet the requirement of current techniques index；
The field range of step 6, now system is unsatisfactory for index request, it is necessary to carry out visual field expansion to system；
Step 7, to system carry out visual field expansion；
Step 8, the Zernike standard polynomial coefficients C characterized to expanding the system export behind visual field to itemizeij, calculate complete
Portion visual field items Zernike coefficient quadratic sumsFound out according to Fig. 5 flow drawing shape optimisation strategies
Zernike coefficient quadratic sum maximal terms；Find the polynomial free terms of the corresponding XY of maximal term；The corresponding polynomial freedom of XY
M is even number in, and not as optimized variable, meets the two conditions, and XY multinomial free terms are set into optimization becomes
Amount；
Step 9, to expand visual field after system carry out visual field optimization, export subitem characterize Zernike standard polynomials
Coefficient Cij, according to Fig. 5 flow charts visual field optimisation strategy calculate obtain single visual field every Zernike standard polynomials coefficient put down
Fang HeCalculating obtains each visual field RMS value average valueCalculate the items of single visual field
Zernike standard polynomial coefficient quadratic sums QiDivided by quadratic sum average value A, obtain Wi=Qi/ A, by WiIt is used as each visual field
Optimize weight.
Step 10, faying face shape optimize the visual field weight of increased optimized variable and visual field optimization, and system is optimized,
Optimize shown in obtained result such as Fig. 4 (b), meet the requirement of current techniques index
The field range of step 11, now system is unsatisfactory for index request, it is necessary to carry out visual field expansion to system；
Step 12, to system carry out visual field expansion；
Step 13, the Zernike standard polynomial coefficients C characterized to expanding the system export behind visual field to itemizeij, calculate complete
Portion visual field items Zernike coefficient quadratic sumsFound out according to Fig. 5 flow drawing shape optimisation strategies
Zernike coefficient quadratic sum maximal terms；Find the polynomial free terms of the corresponding XY of maximal term；The corresponding polynomial freedom of XY
M is even number in, and not as optimized variable, meets the two conditions, and XY multinomial free terms are set into optimization becomes
Amount；
Step 14, to expand visual field after system carry out visual field optimization, export subitem characterize Zernike standard polynomials
Coefficient Cij, according to Fig. 5 flow charts visual field optimisation strategy calculate obtain single visual field every Zernike standard polynomials coefficient put down
Fang HeCalculating obtains each visual field RMS value average valueCalculate the items of single visual field
Zernike standard polynomial coefficient quadratic sums QiDivided by quadratic sum average value A, obtain Wi=Qi/ A, by WiIt is used as each visual field
Optimize weight.
Step 15, faying face shape optimize the visual field weight of increased optimized variable and visual field optimization, and system is optimized,
Optimize shown in obtained result such as Fig. 4 (c), do not meet the requirement of current techniques index, it is necessary to system faying face shape and visual field
Optimisation strategy is to the further optimization of system；
Step 16, the Zernike standard polynomial coefficients C characterized to expanding the system export behind visual field to itemizeij, calculate complete
Portion visual field items Zernike coefficient quadratic sumsFound out according to Fig. 5 flow drawing shape optimisation strategies
Zernike coefficient quadratic sum maximal terms；Find the polynomial free terms of the corresponding XY of maximal term；The corresponding polynomial freedom of XY
M is even number in, and not as optimized variable, meets the two conditions, and XY multinomial free terms are set into optimization becomes
Amount；
Step 17, to expand visual field after system carry out visual field optimization, export subitem characterize Zernike standard polynomials
Coefficient Cij, according to Fig. 5 flow charts visual field optimisation strategy calculate obtain single visual field every Zernike standard polynomials coefficient put down
Fang HeCalculating obtains each visual field RMS value average valueCalculate the items of single visual field
Zernike standard polynomial coefficient quadratic sums QiDivided by quadratic sum average value A, obtain Wi=Qi/ A, by WiIt is used as each visual field
Optimize weight.
Step 18, faying face shape optimize the visual field weight of increased optimized variable and visual field optimization, and system is optimized,
Optimize shown in obtained result such as Fig. 4 (d), do not meet the requirement of current techniques index, it is necessary to system faying face shape and visual field
Optimisation strategy is to the further optimization of system；
Step 19, the Zernike standard polynomial coefficients C characterized to expanding the system export behind visual field to itemizeij, calculate complete
Portion visual field items Zernike coefficient quadratic sumsFound out according to Fig. 5 flow drawing shape optimisation strategies
Zernike coefficient quadratic sum maximal terms；Find the polynomial free terms of the corresponding XY of maximal term；The corresponding polynomial freedom of XY
M is even number in, and not as optimized variable, meets the two conditions, and XY multinomial free terms are set into optimization becomes
Amount；
Step 20, to expand visual field after system carry out visual field optimization, export subitem characterize Zernike standard polynomials
Coefficient Cij, according to Fig. 5 flow charts visual field optimisation strategy calculate obtain single visual field every Zernike standard polynomials coefficient put down
Fang HeCalculating obtains each visual field RMS value average valueCalculate the items of single visual field
Zernike standard polynomial coefficient quadratic sums QiDivided by quadratic sum average value A, obtain Wi=Qi/ A, by WiIt is used as each visual field
Optimize weight.
Step 21, faying face shape optimize the visual field weight of increased optimized variable and visual field optimization, and system is optimized,
Optimize shown in obtained result such as Fig. 4 (e), meet the requirement of current techniques index；
The field range of step 22, now system meets index request, terminates optimization.
Embodiment 1
A kind of faying face shape optimization and the free form surface Designs of reflective off-axis system method of visual field optimisation strategy, side
Method step is as follows：
Step 1, set up off-axis three anti-initial configurations：
With reference to the example of off-axis three reflecting optical system, on the basis of three-mirror reflection optical system carrying out off-axisization is handled
To initial configuration, system focal length is 1200mm, and F numbers 12, wavelength uses 632.8nm He-Ne Lasers, and wherein primary mirror is that even is non-
Sphere, secondary mirror is spherical mirror, and three mirrors are the free form surfaces characterized using XY multinomials.
Step 2, structure limitations are carried out to off-axis three anti-initial configurations：
The macrolanguage blocked using the limitation light of the corresponding optical system write, is called in evaluation function,
The structure of control system, obtains 0 ° × 3 ° of initial configuration and initial visual field.
Step 3, under the structure of initial visual field, export subitem characterize Zernike standard polynomial coefficients Cij, calculate complete
Portion visual field items Zernike coefficient quadratic sumsFound out according to Fig. 5 flow charts visual field optimisation strategy
Zernike coefficient quadratic sum maximal terms, now Pm=P4；Find maximal term P4The corresponding polynomial free terms of XY are x2And y2
；P4The corresponding polynomial free term x of XY2And y2M is even number in, and not as optimized variable, meets the two
Part, by x2And y2Item is set to optimized variable.
Step 4, to system carry out visual field optimization, export subitem characterize Zernike standard polynomial coefficients Cij, according to figure
5 flow chart visual field optimisation strategies calculate the every Zernike standard polynomials coefficient quadratic sum for obtaining single visual fieldCalculating obtains each visual field RMS value average valueCalculate every Zernike marks of single visual field
Quasi-polynomial coefficient quadratic sum QiDivided by quadratic sum average value A, obtain Wi=Qi/ A, by WiIt is used as the optimization weight of each visual field.
Step 5, faying face shape optimize the visual field weight of increased optimized variable and visual field optimization, and system is optimized,
Optimize the requirement for meeting current techniques index shown in obtained result such as Fig. 4 (a)；
Step 6, judge whether the visual field size of now system meets index request, now visual field it is undesirable, it is necessary to
Visual field expansion is carried out to system；
Step 7, to system carry out visual field expansion；
Step 8, expand visual field structure under, export subitem characterize Zernike standard polynomial coefficients Cij, calculate complete
Portion visual field items Zernike coefficient quadratic sumsFound out according to Fig. 5 flow drawing shape optimisation strategies
Zernike coefficient quadratic sum maximal terms, now Pm=P6；Find maximal term P6The corresponding polynomial free terms of XY are x2And y2
；P6The corresponding polynomial free term x of XY of item2And y2M is even number in, but as optimized variable, it is therefore desirable to give up
Abandon P6, the step of optimizing according to Fig. 5 flow drawing shapes continues to export entire field items Zernike coefficient quadratic sumsZernike coefficient quadratic sum maximal terms are found out, now Pm=P4, with P6Similar, the corresponding XY of item
Polynomial free term x2And y2M is even number in, but as optimized variable, it is therefore desirable to give up P4, continue to export
Entire field items Zernike coefficient quadratic sumsZernike coefficient quadratic sum maximal terms are found out,
Now Pm=P5, m is odd number in corresponding polynomial free term xy of XY, is unsatisfactory for the condition as optimized variable, gives up P5
；Therefore need to continue to export entire field items Zernike coefficient quadratic sumsFind out
Zernike coefficient quadratic sum maximal terms, now Pm=P7, correspondence P7The polynomial free term x of XY2Y, y and y3M is even in
Number, and not as optimized variable, therefore, by x2Y, y and y3Item is used as optimized variable；；
Step 9, to system carry out visual field optimization, export subitem characterize Zernike standard polynomial coefficients Cij, calculate
To every Zernike standard polynomials coefficient quadratic sum of single visual fieldOptimize plan according to Fig. 5 flow charts visual field
Approximation is calculated and obtains each visual field RMS value average valueThe every Zernike standards for calculating single visual field are multinomial
Formula coefficient quadratic sum QiDivided by quadratic sum average value A, obtain Wi=Qi/ A, by WiIt is used as the optimization weight of each visual field.
Step 10, faying face shape optimize the visual field weight of increased optimized variable and visual field optimization, and system is optimized,
Optimize the requirement for meeting current techniques index shown in obtained result such as Fig. 4 (b)；
Step 11, judge whether the visual field size of now system meets index request, now visual field it is undesirable, it is necessary to
Visual field expansion is carried out to system；
Step 12, to system carry out visual field expansion；
Step 13, export now optical system system Zernike characterize wave aberration coefficient, according to Fig. 5 flow drawings
Shape optimisation strategy calculates each visual field individual event aberration coefficients quadratic sum situation.The Zernike standard polynomials system that export subitem is characterized
Number Cij, calculate entire field items Zernike coefficient quadratic sumsAccording to the face in Fig. 5 flow charts
Shape optimisation strategy, P4、P6、P5、P8、P7、P9The corresponding polynomial items of XY be unsatisfactory for as optimized variable two conditions, it is necessary to
Give up this six, find out Zernike coefficient quadratic sum maximal terms according to Fig. 5 flow charts visual field optimisation strategy, now Pm=P11；Look for
To maximal term P11The corresponding polynomial free terms of XY are x4、x2y2And y4；P11The corresponding polynomial free term x of XY4、x2y2
And y4M is even number in, and not as optimized variable, meets the two conditions, by x4、x2y2And y4Item this three is set to
Optimized variable.
Step 14, to system carry out visual field optimization, export subitem characterize Zernike standard polynomial coefficients Cij, according to
Fig. 5 flow charts visual field optimisation strategy calculates the every Zernike standard polynomials coefficient quadratic sum for obtaining single visual fieldCalculating obtains each visual field RMS value average valueCalculate every Zernike marks of single visual field
Quasi-polynomial coefficient quadratic sum QiDivided by quadratic sum average value A, obtain Wi=Qi/ A, by WiIt is used as the optimization weight of each visual field.
Step 16, faying face shape optimize the visual field weight of increased optimized variable and visual field optimization, and system is optimized,
Now optimize the requirement that current techniques index is not met shown in obtained result such as Fig. 4 (c), it is therefore desirable to continue to carry out system
Face shape and visual field optimization；
Step 17, export now optical system system Zernike characterize wave aberration coefficient, according to Fig. 5 flow drawings
Shape optimisation strategy calculates each visual field individual event aberration coefficients quadratic sum situation.The Zernike standard polynomials system that export subitem is characterized
Number Cij, calculate entire field items Zernike coefficient quadratic sumsAccording to the face in Fig. 5 flow charts
Shape optimisation strategy, P4To P16The corresponding polynomial items of XY of item are unsatisfactory for two conditions as optimized variable, it is necessary to give up this
A little items, find out Zernike coefficient quadratic sum maximal terms, now P according to Fig. 5 flow charts visual field optimisation strategym=P17；Find maximum
Item P17The corresponding polynomial free terms of XY are x4y、x2y3And y5；P17The corresponding polynomial free term x of XY4y、x2y3And y5
M is even number in, and not as optimized variable, meets the two conditions, by x4y、x2y3And y5Item this three is set to excellent
Change variable.
Step 18, to system carry out visual field optimization, export subitem characterize Zernike standard polynomial coefficients Cij, according to
Fig. 5 flow charts visual field optimisation strategy calculates the every Zernike standard polynomials coefficient quadratic sum for obtaining single visual fieldCalculating obtains each visual field RMS value average valueCalculate every Zernike marks of single visual field
Quasi-polynomial coefficient quadratic sum QiDivided by quadratic sum average value A, obtain Wi=Qi/ A, by WiIt is used as the optimization weight of each visual field.
Step 19, faying face shape optimize the visual field weight of increased optimized variable and visual field optimization, and system is optimized,
Now optimize the requirement that current techniques index is not met shown in obtained result such as Fig. 4 (d), it is therefore desirable to continue to carry out system
Face shape and visual field optimization；
Step 20, export now optical system system Zernike characterize wave aberration coefficient, according to Fig. 5 flow drawings
Shape optimisation strategy calculates each visual field individual event aberration coefficients quadratic sum situation.The Zernike standard polynomials system that export subitem is characterized
Number Cij, calculate entire field items Zernike coefficient quadratic sumsAccording to the face in Fig. 5 flow charts
Shape optimisation strategy, P4To P21The corresponding polynomial items of XY of item are unsatisfactory for two conditions as optimized variable, it is necessary to give up, and press
Zernike coefficient quadratic sum maximal terms are found out according to Fig. 5 flow charts visual field optimisation strategy, now Pm=P22；Find maximal term P22It is right
The polynomial free terms of XY answered are x6、x2y4、x4y2And y6；P22The corresponding polynomial free term x of XY6、x2y4、x4y2And y6
M is even number in, and not as optimized variable, meets the two conditions, by x6、x2y4、x4y2And y6This four settings of item
For optimized variable.
Step 21, to system carry out visual field optimization, export subitem characterize Zernike standard polynomial coefficients Cij, according to
Fig. 5 flow charts visual field optimisation strategy calculates the every Zernike standard polynomials coefficient quadratic sum for obtaining single visual fieldCalculating obtains each visual field RMS value average valueCalculate every Zernike marks of single visual field
Quasi-polynomial coefficient quadratic sum QiDivided by quadratic sum average value A, obtain Wi=Qi/ A, by WiIt is used as the optimization weight of each visual field.
Step 22, faying face shape optimize the visual field weight of increased optimized variable and visual field optimization, and system is optimized,
Optimize shown in obtained result such as Fig. 4 (e), meet the requirement of current techniques index；
Step 23, judge that the field range of now system meets index request, terminate 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 is improved, and optimization efficiency is increased.Simultaneously in optimization process
Visual field is progressively expanded, larger field range is resulted in.The invention discloses the step of specific design method, for containing
The Designs of reflective off-axis system of free form surface has directive significance.
Claims (3)
1. the freeform optics system optimization method of a kind of faying face shape and visual field optimisation strategy, it is characterised in that method is walked
It is rapid as follows：
Step 1, set up 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, 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, the limitation light of the corresponding optical system write is utilized
The macrolanguage that line is blocked, 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 the visual field weight of increased optimized variable and visual field optimization, system is carried out the optimization of face shape and
Visual field optimizes；
Step 4, judge whether optimum results meet the technical requirements, if being unsatisfactory for current field requirement, go to step 3 pair
System proceeds face shape and visual field optimization；If being unsatisfactory for requiring field range requirement, visual field expansion is carried out to system, then
Go to step 3 combination visual field and face shape is optimized to system；If meeting current field index request and field range meeting
Index request, then terminate optimization.
2. the freeform optics system optimization method of faying face shape according to claim 1 and visual field optimisation strategy, its
It is characterised by, the method and step that face shape described in step 3 optimizes is as follows：
1) the Zernike standard polynomial coefficients C that export subitem is characterizedijAfterwards, entire field items Zernike coefficients are calculated to put down
Fang HeWherein 4≤j≤37；
2) Zernike coefficient quadratic sum maximal terms are found out, P is denoted asm；
3) maximal term P is foundmThe corresponding polynomial free term x of XYmyn；
4) maximal term P is judgedmThe 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 it is 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 to optimized variable.
3. the freeform optics system optimization method of faying face shape according to claim 1 and visual field optimisation strategy, its
It is characterised by, the method and step that visual field described in step 3 optimizes is as follows：
1) visual field optimization, the Zernike standard polynomial coefficients C that export subitem is characterized are carried out to systemij, calculate and obtain single regard
Every Zernike standard polynomials coefficient quadratic sum of field
2) calculate and obtain each visual field RMS value average value
3) every Zernike standard polynomials coefficient quadratic sum Q of single visual field is calculatediDivided by quadratic sum average value A, obtain Wi
=Qi/ A, by WiIt is used as the optimization weight of each visual field.
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