CN109165468A - A kind of optical system heat analysis method and system - Google Patents

A kind of optical system heat analysis method and system Download PDF

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Publication number
CN109165468A
CN109165468A CN201811113853.0A CN201811113853A CN109165468A CN 109165468 A CN109165468 A CN 109165468A CN 201811113853 A CN201811113853 A CN 201811113853A CN 109165468 A CN109165468 A CN 109165468A
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optical
thermal expansion
expansion coefficient
analysis
neighboring
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CN109165468B (en
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刘家国
李婷
曾克思
张进
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Beijing Institute of Environmental Features
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Beijing Institute of Environmental Features
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    • G06COMPUTING; CALCULATING OR COUNTING
    • G06FELECTRIC DIGITAL DATA PROCESSING
    • G06F30/00Computer-aided design [CAD]
    • G06F30/20Design optimisation, verification or simulation
    • G06F30/23Design optimisation, verification or simulation using finite element methods [FEM] or finite difference methods [FDM]
    • GPHYSICS
    • G06COMPUTING; CALCULATING OR COUNTING
    • G06FELECTRIC DIGITAL DATA PROCESSING
    • G06F2119/00Details relating to the type or aim of the analysis or the optimisation
    • G06F2119/08Thermal analysis or thermal optimisation

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Abstract

The present invention relates to a kind of optical system heat analysis method and systems, and wherein method includes: to establish the finite element model of optical system to be analyzed, carry out thermal deformation analysis to finite element model;Interval variation amount of the intersection point along optical axis direction of the two neighboring optical surface of at least part and optical axis is extracted from the result of thermal deformation analysis, and fiber yarn is calculated based on the interval variation amount, as the thermal expansion coefficient between the two optical surfaces;The optical path for being analysed to optical system expands into coaxial optical system, and based on the thermal expansion coefficient between all two neighboring optical surfaces, carries out the image quality under high/low temperature condition using the function of thermal analysis of optical software and analyze.The present invention only need to carry out simple computation along the displacement of optical axis direction to optical surface vertex, and the interval variation amount based on optical surface calculates fiber yarn, so that inputting optical software carries out heat analysis, greatly reduces analysis workload and difficulty.

Description

A kind of optical system heat analysis method and system
Technical field
The present invention relates to optical technical field more particularly to a kind of optical system heat analysis method and systems.
Background technique
The curvature of optical element when temperature change, thickness and interval all change, the refractive index of element body material and The refractive index of place medium will also change, and change so as to cause the image quality of optical system, it is therefore necessary to light System carries out heat analysis, and takes no thermalization measure appropriate based on the analysis results.
For transmission type coaxial optical system, optical design software (such as Code V, Zemax etc.) can be used and directly carry out Heat analysis, software will automatically calculate curvature, thickness and the variations in refractive index of optical mirror slip, and according to the thermal expansion of structure material Coefficient calculates the interval variation of two neighboring optical element using cylindrical drum (Cylinder Tube) model.
For there is the complexity of the optical elements such as prism (or reflecting mirror) in reflective (catadioptric mixing) optical system and optical path Optical system directly carries out heat point with optical software due to there are many structural support point is uncertain, structural material is possible etc. Analyse result inaccuracy.Therefore Thermal/Structural/Optical Integrated Analysis method is generallyd use, but this method needs all nodes to all surface Deformation data is carried out based on rise or based on the conversion of surface normal, then fitting of a polynomial again, also wants other side before fitting sometimes Journey group is orthogonalized processing, and operand is big, and process is complicated.
Summary of the invention
It is an object of the invention to solve at least part technical problem in the prior art, a kind of optical system is provided Heat analysis method and system.
In order to solve the above-mentioned technical problem, first aspect present invention provides a kind of optical system heat analysis method, described Method includes:
S1, the finite element model for establishing optical system to be analyzed carry out thermal deformation analysis to finite element model, wherein described Optical system to be analyzed includes optical element and structural member;
S2, the intersection point of the two neighboring optical surface of at least part and optical axis is extracted from the result of thermal deformation analysis along light The interval variation amount of axis direction, and based on the interval variation amount calculate fiber yarn, as the two optical surfaces it Between thermal expansion coefficient;
S3, the optical path for being analysed to optical system expand into coaxial optical system, and are based on all two neighboring optics tables Thermal expansion coefficient between face carries out the image quality under high/low temperature condition using the function of thermal analysis of optical software and analyzes.
In optical system heat analysis method according to the present invention, optionally, pass through following public affairs in the step S2 Formula calculates fiber yarn, comprising:
Wherein, Δ L is the intersection point of two neighboring optical surface and optical axis along the interval variation amount of optical axis direction, and Δ T is pair Finite element model carries out applying variation of ambient temperature value when thermal deformation analysis, optical surface interval when L is original state.
In optical system heat analysis method according to the present invention, optionally, extract in the step S2 by non-list The interval variation amount of the adjacent surface of two fixed optical elements of one material structure part, and calculate fiber yarn conduct Thermal expansion coefficient;Heat in the step S3 between all two neighboring optical surfaces used when image quality analysis The coefficient of expansion includes:
1) for two optical elements fixed by homogenous material structural member, the heat between two neighboring optical surface is swollen Swollen coefficient is the thermal expansion coefficient of the homogenous material;
2) heat for two optical elements fixed by non-homogenous material structural member, between two neighboring optical surface The coefficient of expansion is to calculate the thermal expansion coefficient obtained by step S2;
3) for two adjacent optical surfaces on optical element, thermal expansion coefficient is used optics by the optical element The thermal expansion coefficient of material.
In optical system heat analysis method according to the present invention, optionally, all two are extracted in the step S2 The interval variation amount of the adjacent surface of a optical element, and fiber yarn is calculated as thermal expansion coefficient;The step Thermal expansion coefficient in S3 between all two neighboring optical surfaces use when image quality analysis is by step S2 It calculates and obtains.
In optical system heat analysis method according to the present invention, optionally, specific light is extracted in the step S2 The interval variation amount on two adjacent optical surfaces between element and adjacent optical element is learned, and calculates fiber yarn As thermal expansion coefficient;The particular optical element includes reflecting mirror and prism;Image quality point is being carried out in the step S3 The thermal expansion coefficient between all two neighboring optical surfaces used when analysis includes:
1) thermal expansion coefficient for particular optical element and adjacent optical element, between two neighboring optical surface To calculate the thermal expansion coefficient obtained by step S2;
2) for nonspecific optical element, the thermal expansion coefficient between two neighboring optical surface is the structural member of setting The thermal expansion coefficient of material;
3) for two adjacent optical surfaces on optical element, thermal expansion coefficient is used optics by the optical element The thermal expansion coefficient of material.
In optical system heat analysis method according to the present invention, optionally, light is analysed in the step S3 When the optical path of system expands into coaxial optical system, wherein plane mirror is replaced with virtual face, and prism is expanded by light path Plate glass.
It is optionally, equivalent in calculating in the step S2 in optical system heat analysis method according to the present invention When thermal expansion coefficient, optical surface interval L is determined according to the type of optical element:
A, when two neighboring optical element is lens, parallel optical axis side is in two adjacent optical surface maximum calibers To distance as optical surface interval L;
B, when two neighboring optical element is nonplanar reflector, with the intersection point of two adjacent optical surfaces and optical axis away from From as optical surface interval L;
C, when two neighboring optical element is followed successively by prism and lens, directional light is in lens entrance surface maximum caliber Axis direction is used as optical surface interval L at a distance from prism exit surface;
D, two neighboring optical element is followed successively by prism and when plane mirror, with two adjacent optical surfaces and optical axis The distance of intersection point is as optical surface interval L;
E, it when two neighboring optical element is followed successively by lens and plane mirror, calculates between first point and second point Distance is used as optical surface interval L, wherein first point of vertical throwing for the point at the exit facet maximum caliber of lens on optical axis Shadow point, second point are the intersection point of plane mirror and optical axis;
F, when two neighboring optical element is plane mirror, with the intersection point of two adjacent optical surfaces and optical axis away from From as optical surface interval L;
G, when two neighboring optical element is prism, using two adjacent optical surfaces at a distance from the intersection point of optical axis as Optical surface interval L.
The present invention also provides a kind of optical system thermal analysis systems, which comprises
Finite element analysis module carries out heat to finite element model for establishing the finite element model of optical system to be analyzed Deformation analysis, wherein the optical system to be analyzed includes optical element and structural member;
Thermal expansion coefficient computing module, for extracting the two neighboring optics of at least part from the result of thermal deformation analysis The intersection point of surface and optical axis along optical axis direction interval variation amount, and based on the interval variation amount calculate fiber yarn, As the thermal expansion coefficient between the two optical surfaces;
Thermal analysis module, the optical path for being analysed to optical system expands into coaxial optical system, and is based on all phases Thermal expansion coefficient between adjacent two optical surfaces carries out the imaging under high/low temperature condition using the function of thermal analysis of optical software Quality analysis.
In optical system thermal analysis system according to the present invention, optionally, the thermal expansion coefficient computing module It is calculated by the following formula fiber yarn, comprising:
Wherein, Δ L is the intersection point of two neighboring optical surface and optical axis along the interval variation amount of optical axis direction, and Δ T is pair Finite element model carries out applying variation of ambient temperature value when thermal deformation analysis, optical surface interval when L is original state.
In optical system thermal analysis system according to the present invention, optionally, the thermal expansion coefficient computing module The interval variation amount of the adjacent surface by two fixed optical elements of non-homogenous material structural member is extracted, and it is swollen to calculate equivalent heat Swollen coefficient is as thermal expansion coefficient;The thermal analysis module is in all two neighboring optics use when image quality analysis Thermal expansion coefficient between surface includes:
1) for two optical elements fixed by homogenous material structural member, the heat between two neighboring optical surface is swollen Swollen coefficient is the thermal expansion coefficient of the homogenous material;
2) heat for two optical elements fixed by non-homogenous material structural member, between two neighboring optical surface The coefficient of expansion is to calculate the thermal expansion coefficient obtained by the thermal expansion coefficient computing module;
3) for two adjacent optical surfaces on optical element, thermal expansion coefficient is used optics by the optical element The thermal expansion coefficient of material.
In optical system thermal analysis system according to the present invention, optionally, the thermal expansion coefficient computing module Extract institute there are two optical element adjacent surface interval variation amount, and calculate fiber yarn as thermal expansion be Number;Thermal expansion system of the thermal analysis module between all two neighboring optical surfaces used when image quality analysis Number is calculated by thermal expansion coefficient computing module and is obtained.
In optical system thermal analysis system according to the present invention, optionally, the thermal expansion coefficient computing module The interval variation amount on two adjacent optical surfaces between particular optical element and adjacent optical element is extracted, and is calculated equivalent Thermal expansion coefficient is as thermal expansion coefficient;The particular optical element includes reflecting mirror and prism;In the thermal analysis module Thermal expansion coefficient when carrying out image quality analysis between all two neighboring optical surfaces for using includes:
1) thermal expansion coefficient for particular optical element and adjacent optical element, between two neighboring optical surface To calculate the thermal expansion coefficient obtained by the thermal expansion coefficient computing module;
2) for nonspecific optical element, the thermal expansion coefficient between two neighboring optical surface is the structural member of setting The thermal expansion coefficient of material;
3) for two adjacent optical surfaces on optical element, thermal expansion coefficient is used optics by the optical element The thermal expansion coefficient of material.
Implement optical system heat analysis method and system of the invention, has the advantages that the present invention only need to be to light The displacement that surface vertices are learned along optical axis direction carries out simple computation, and the calculating equivalent heat of the interval variation amount based on optical surface is swollen Swollen coefficient greatly reduces analysis workload and difficulty so that inputting optical software carries out heat analysis, can solve previous Thermal/Structural/Optical Integrated Analysis method needs the problem of extremely cumbersome data conversion and processing.
Detailed description of the invention
Fig. 1 is according to preferred embodiment of the present invention optical system heat analysis method flow chart;
Fig. 2 is the light path schematic diagram of a typical optical system to be analyzed;
Coaxial optical system schematic diagram after the optical system to be analyzed expansion that Fig. 3 is Fig. 2;
Fig. 4 is the value schematic diagram of two neighboring optical element optical surface interval L when being lens;
The value schematic diagram of Fig. 5 is two neighboring optical element when being nonplanar reflector optical surface interval L;
Fig. 6 is the value schematic diagram of optical surface interval L when two neighboring optical element is followed successively by prism and lens;
Fig. 7 is that the value of optical surface interval L when two neighboring optical element is followed successively by prism and plane mirror is illustrated Figure;
Fig. 8 is that the value of optical surface interval L when two neighboring optical element is followed successively by lens and plane mirror is illustrated Figure;
Fig. 9 is the value schematic diagram of two neighboring optical element optical surface interval L when being plane mirror;
Figure 10 is the value schematic diagram of two neighboring optical element optical surface interval L when being prism;
Figure 11 is the module frame chart according to the optical system thermal analysis system of the preferred embodiment of the present invention.
Specific embodiment
The feature and exemplary embodiment of various aspects of the invention is described more fully below, in order to make mesh of the invention , technical solution and advantage be more clearly understood, with reference to the accompanying drawings and embodiments, the present invention is further retouched in detail It states.It should be understood that specific embodiment described herein is only configured to explain the present invention, it is not configured as limiting the present invention. To those skilled in the art, the present invention can be real in the case where not needing some details in these details It applies.Below the description of embodiment is used for the purpose of better understanding the present invention to provide by showing example of the invention.
It should be noted that, in this document, relational terms such as first and second and the like are used merely to a reality Body or operation are distinguished with another entity or operation, are deposited without necessarily requiring or implying between these entities or operation In any actual relationship or order or sequence.Moreover, the terms "include", "comprise" or its any other variant are intended to Non-exclusive inclusion, so that the process, method, article or equipment including a series of elements is not only wanted including those Element, but also including other elements that are not explicitly listed, or further include for this process, method, article or equipment Intrinsic element.In the absence of more restrictions, the element limited by sentence " including ... ", it is not excluded that including There is also other identical elements in the process, method, article or equipment of the element.
Referring to Fig. 1, for according to preferred embodiment of the present invention optical system heat analysis method flow chart.As shown in Figure 1, should Embodiment provide method include:
Step S1: establishing the finite element model of optical system to be analyzed, carries out thermal deformation analysis to finite element model.The step It suddenly is finite element analysis step.Wherein optical system to be analyzed includes optical element and structural member, when establishing finite element model Need to establish the finite element model of the entire optical system including optical element and structural member, the coordinate system of finite element model It is consistent with the coordinate system of optical system light path to be analyzed.Apply variation of ambient temperature load, i.e. application variation of ambient temperature value Δ T.Δ T should be less than the maximum temperature difference of optical system actual work temperature and design temperature to be analyzed.Then to finite element model Do thermal deformation analysis.The process for establishing finite element model and progress thermal deformation analysis can be ripe using this field basic technology personnel Know and applicable mode realizes that details are not described herein.
Step S2: the intersection point of at least part two neighboring optical surface and optical axis is extracted from the result of thermal deformation analysis Fiber yarn is calculated along the interval variation amount of optical axis direction, and based on the interval variation amount, as the two optics tables Thermal expansion coefficient between face.The step is that thermal expansion coefficient calculates step.
The present invention provides a kind of preferred calculation methods of fiber yarn.The present invention is not limited only to this, can be with Using other applicable fiber yarn calculation methods, to substitute the thermal expansion coefficient between optical surface.In the present invention Preferred embodiment in, be calculated by the following formula fiber yarn in step S2, comprising:
Wherein, Δ L is the intersection point of two neighboring optical surface and optical axis along the interval variation amount of optical axis direction, and Δ T is pair Finite element model carries out applying variation of ambient temperature value when thermal deformation analysis, optical surface interval when L is original state.
The interval variation amount of i-th of optical surface and i+1 optical surface can be calculated by the following formula:
Δ L=δi+1i
δiIt is i-th of optical surface in result of the step S1 based on finite element model progress thermal deformation analysis along optical axis direction Displacement.
Step S3: the optical path for being analysed to optical system expands into coaxial optical system, and is based on all two neighboring light The thermal expansion coefficient between surface is learned, the image quality point under high/low temperature condition is carried out using the function of thermal analysis of optical software Analysis.The step is heat analysis step.The optical software includes but is not limited to Code V, and the softwares such as Zemax have heat analysis function Can, the relevant parameter of optical system need to only be inputted to the image quality that can be carried out automatically under high/low temperature condition and analyzed.The imaging Quality analysis includes but is not limited to point range figure, modulation transfer function etc..
The present invention can solve previous Thermal/Structural/Optical Integrated Analysis method by the method for above-mentioned calculating fiber yarn The problem of needing extremely cumbersome data conversion and processing.Since optical system can take measures as far as possible in optical structure design Optical element is avoided to generate inclination, eccentric and higher order deformation (because thus the decline of bring image quality is difficult to compensate for), it can be with Fiber yarn, i.e., the displacement on optical element surface vertex finite element analysis obtained are calculated based on interval variation amount Amount is converted to the fiber yarn (α of supporting structureIt is equivalent), then by light path converting in optical system be coaxial optical system, Such as have reflecting mirror or prism that then reflecting mirror or prism are unfolded, thus each α being calculatedIt is equivalentIt is defeated to arrive optical software conduct The thermal expansion coefficient of material between two optical elements can be used the mode as transmission type coaxial optical system and carry out heat Analysis.This method only need to carry out simple computation along the displacement of optical axis direction to optical surface vertex, greatly reduce analysis work Amount.
In the first embodiment of the invention, can selectively calculate equivalent thermal expansion according to the type of structural member is Number.Specifically, in step s 2, the interval of the adjacent surface by two fixed optical elements of non-homogenous material structural member is extracted Variable quantity, and fiber yarn is calculated as thermal expansion coefficient.
Thermal expansion system in step S3 between all two neighboring optical surfaces used when imaging performance analysis Number includes:
1) for two optical elements fixed by homogenous material structural member, the heat between two neighboring optical surface is swollen Swollen coefficient is the thermal expansion coefficient of the homogenous material;
2) heat for two optical elements fixed by non-homogenous material structural member, between two neighboring optical surface The coefficient of expansion is to calculate the thermal expansion coefficient obtained by step S2;
3) for two adjacent optical surfaces on optical element, thermal expansion coefficient is used optics by the optical element The thermal expansion coefficient of material.
In conjunction with referring to Fig.2, being the light path schematic diagram of a typical optical system to be analyzed.The optical system to be analyzed includes more A optical element, and the structural member for fixing these optical elements.Wherein the optical element in optical path successively includes: first Lens 201, the second lens 202, the third lens 203, the first reflecting mirror 204, the 4th lens 205, the second reflecting mirror 206, third Reflecting mirror 207, the 4th reflecting mirror 208, prism 209, the 5th lens 210, the 6th lens 211 and detector window 212.From figure It can be seen that optical path is repeatedly turned back, and the third lens 203, the first reflecting mirror 204, the second reflecting mirror 206, the 4th lens 205, The support construction complexity of third reflecting mirror 207, the 4th reflecting mirror 208, prism 209 and detector window 212, can not be directly in light Learn the imaging performance analysis carried out under high/low temperature condition in software.
The method that imaging performance heat analysis is carried out using to be analyzed optical system of the first embodiment of the invention to Fig. 2 The following steps are included:
A1, thermal deformation analysis is carried out to entire optical system to be analyzed using finite element analysis software;
Displacement of the node of A2, the following surface of proposition and optical axes crosspoint along optical axis direction: the second face of the third lens 203, The reflecting surface of first reflecting mirror 204, the first face and the second face of the 4th lens 205, the second reflecting mirror 206, third reflecting mirror 207, the reflecting surface of the 4th reflecting mirror 208, the front and rear surfaces of prism 209, the first face of the 5th lens 210, the 6th lens 211 Second face and the first face of detector window 212.
A3, handy formulaCalculate the fiber yarn between above-mentioned each adjacent surface.Same optics It does not need to calculate between two surfaces of element.
A4, the coaxial optical system that above-mentioned optical system to be analyzed is established in optical software, wherein plane mirror is used Virtual face replaces, and prism expands into plate glass by light path, as shown in Figure 3.
A5: input institute in optical software there are two between adjacent optical surface thermal expansion coefficient or equivalent thermal expansion be Number.
For two adjacent optical surfaces on optical element, thermal expansion coefficient is used optics material by the optical element The thermal expansion coefficient of material is included in optical material library, without individually entering.
Thermal expansion for two optical elements fixed by homogenous material structural member, between two neighboring optical surface Coefficient is the thermal expansion coefficient of the homogenous material.First lens 201 and the second lens 202 in such as figure, the second lens 202 and third Lens 203, between the 5th lens 210 and the 6th lens 211 and between detector window 212, cold stop 213 and target surface 214 All it is only a kind of metallic material, inputs the thermal expansion coefficient of the metal material.
For two optical elements fixed by non-homogenous material structural member, the heat between two neighboring optical surface is swollen Swollen coefficient is to calculate the fiber yarn obtained by step S2.Such as the second face of aforementioned the third lens 203 and the first reflection The reflecting surface of mirror 204, the reflecting surface of the first reflecting mirror 204 and the first face of the 4th lens 205, the second face of the 4th lens 205 With the reflecting surface of the second reflecting mirror 206, the reflecting surface of the second reflecting mirror 206 and the reflecting surface of third reflecting mirror 207, third reflection The reflecting surface of the reflecting surface of mirror 207 and the 4th reflecting mirror 208, the reflecting surface of the 4th reflecting mirror 208 and the front surface of prism 209, The of first face of the rear surface of prism 209 and the 5th lens 210, the second face of the 6th lens 211 and detector window 212 On one side.
A6: the imaging performance under high/low temperature condition is carried out using the function of thermal analysis of optical software and is analyzed.
In second of embodiment of the invention, in step S2 extract institute there are two optical element adjacent surface between Every variable quantity, and fiber yarn is calculated as thermal expansion coefficient.It is used in step S3 when carrying out imaging performance analysis All two neighboring optical surfaces between thermal expansion coefficient by step S2 calculate obtain.That is, no matter optics is first Whether part uses the structural member of homogenous material to be fixed, and is calculated by above-mentioned fiber yarn calculation method.
In the third embodiment of the invention, is determined according to the type of optical element and need to calculate equivalent thermal expansion The surface of coefficient.That is, extracting two adjacent light between particular optical element and adjacent optical element in step S2 The interval variation amount on surface is learned, and calculates fiber yarn as thermal expansion coefficient.The particular optical element includes reflection Mirror and prism.Because it is usually necessary to use complicated structures to be supported for particular optical element, generally use non-single Material structure part is fixed.Correspondingly, in all two neighboring optics used when imaging performance analysis in step S3 Thermal expansion coefficient between surface includes:
1) thermal expansion coefficient for particular optical element and adjacent optical element, between two neighboring optical surface To calculate the thermal expansion coefficient obtained by step S2.
2) for nonspecific optical element, the thermal expansion coefficient between two neighboring optical surface is the structural member of setting The thermal expansion coefficient of material;
3) for two adjacent optical surfaces on optical element, thermal expansion coefficient is used optics by the optical element The thermal expansion coefficient of material.
The present invention can determine optical surface interval L when calculating fiber yarn according to the type of optical element. Fig. 4-Figure 10 is please referred to, is the optical surface interval value schematic diagram of different optical elements.
Fig. 4 is the value schematic diagram of two neighboring optical element optical surface interval L when being lens.When two neighboring light Element is learned when being lens, is in the distance in parallel optical axis direction as optical surface using two adjacent optical surface maximum calibers It is spaced L.
The value schematic diagram of Fig. 5 is two neighboring optical element when being nonplanar reflector optical surface interval L.When adjacent When two optical elements are nonplanar reflector, using two adjacent optical surfaces as optical surface at a distance from the intersection point of optical axis It is spaced L.In Fig. 5, take surface A at a distance from the intersection point to the intersection point of surface B and optical axis of optical axis as optical surface interval L.
Fig. 6 is the value schematic diagram of optical surface interval L when two neighboring optical element is followed successively by prism and lens.Work as phase When adjacent two optical elements are followed successively by prism and lens, parallel optical axis direction and prism are in lens entrance surface maximum caliber The distance of exit surface is as optical surface interval L.In Fig. 6, takes projection of the surface A on optical axis as first point, take table Face B maximum caliber is in the projection on optical axis as second point, this first point is used as optical surface interval at a distance from second point L。
Fig. 7 is that the value of optical surface interval L when two neighboring optical element is followed successively by prism and plane mirror is illustrated Figure.When two neighboring optical element is followed successively by prism and plane mirror, with the intersection point on two adjacent optical surfaces and optical axis Distance as optical surface interval L.It in Fig. 7, takes the intersection point of surface A and optical axis as first point, takes surface B and optical axis For intersection point as second point, this first point is used as optical surface interval L at a distance from second point.
Fig. 8 is that the value of optical surface interval L when two neighboring optical element is followed successively by lens and plane mirror is illustrated Figure.When two neighboring optical element is followed successively by lens and plane mirror, the distance between and second point are calculated at first point As optical surface interval L, wherein first point vertical on optical axis for the point at exit facet, that is, surface A heavy caliber of convex lens Subpoint, second point are reflecting surface, that is, surface B and optical axis intersection point of plane mirror.
Fig. 9 is the value schematic diagram of two neighboring optical element optical surface interval L when being plane mirror.When adjacent When two optical elements are plane mirror, using two adjacent optical surfaces as optical surface at a distance from the intersection point of optical axis It is spaced L.In Fig. 9, take surface A at a distance from the intersection point to the intersection point of surface B and optical axis of optical axis as optical surface interval L.
Figure 10 is the value schematic diagram of two neighboring optical element optical surface interval L when being prism.When two neighboring When optical element is prism, using two adjacent optical surfaces as optical surface interval L at a distance from the intersection point of optical axis.Such as figure In 10, take surface A at a distance from the intersection point to the intersection point of surface B and optical axis of optical axis as optical surface interval L.
Based on same inventive concept, the present invention also provides a kind of optical system thermal analysis systems.Figure 11 is please referred to, is The module frame chart of optical system thermal analysis system according to the preferred embodiment of the invention.As shown in figure 11, which provides Optical system thermal analysis system includes at least: finite element analysis module 100, thermal expansion coefficient computing module 200 and heat analysis mould Block 300.
Finite element analysis module 100 is used to establish the finite element model of optical system to be analyzed, carries out to finite element model Thermal deformation analysis, wherein the optical system to be analyzed includes optical element and structural member.The finite element analysis module 100 is with before The realization process for stating finite element analysis step S1 in method is identical as principle, and details are not described herein.
Thermal expansion coefficient computing module 200 is used to extract the two neighboring light of at least part from the result of thermal deformation analysis Interval variation amount of the intersection point along optical axis direction of surface and optical axis is learned, and equivalent thermal expansion is calculated based on the interval variation amount and is Number, as the thermal expansion coefficient between the two optical surfaces.The thermal expansion coefficient computing module 200 and heat in preceding method are swollen The realization process of swollen coefficient calculating step S2 is identical as principle, and details are not described herein.
The optical path that thermal analysis module 300 is used to be analysed to optical system expands into coaxial optical system, and based on all Thermal expansion coefficient between two neighboring optical surface, using optical software function of thermal analysis carry out high/low temperature condition under at As quality analysis, image quality analysis includes but is not limited to point range figure, modulation transfer function etc..The thermal analysis module 300 with The realization process of heat analysis step S3 is identical as principle in preceding method, and details are not described herein.
Finally, it should be noted that the above embodiments are merely illustrative of the technical solutions of the present invention, rather than its limitations;Although Present invention has been described in detail with reference to the aforementioned embodiments, those skilled in the art should understand that: it still may be used To modify the technical solutions described in the foregoing embodiments or equivalent replacement of some of the technical features; And these are modified or replaceed, technical solution of various embodiments of the present invention that it does not separate the essence of the corresponding technical solution spirit and Range.

Claims (10)

1. a kind of optical system heat analysis method, which is characterized in that the described method includes:
S1, the finite element model for establishing optical system to be analyzed carry out thermal deformation analysis to finite element model, wherein described wait divide Analysing optical system includes optical element and structural member;
S2, the intersection point of the two neighboring optical surface of at least part and optical axis is extracted from the result of thermal deformation analysis along optical axis side To interval variation amount, and based on the interval variation amount calculate fiber yarn, as between the two optical surfaces Thermal expansion coefficient;
S3, the optical path for being analysed to optical system expand into coaxial optical system, and based on all two neighboring optical surfaces it Between thermal expansion coefficient, utilize optical software function of thermal analysis carry out high/low temperature condition under image quality analysis.
2. optical system heat analysis method according to claim 1, which is characterized in that pass through following public affairs in the step S2 Formula calculates fiber yarn, comprising:
Wherein, Δ L is the intersection point of two neighboring optical surface and optical axis along the interval variation amount of optical axis direction, and Δ T is to limited Meta-model carries out applying variation of ambient temperature value when thermal deformation analysis, optical surface interval when L is original state.
3. optical system heat analysis method according to claim 1 or 2, which is characterized in that in the step S2 extract by The interval variation amount of the adjacent surface of two fixed optical elements of non-homogenous material structural member, and calculate fiber yarn As thermal expansion coefficient;
Thermal expansion system in the step S3 between all two neighboring optical surfaces used when image quality analysis Number includes:
1) the thermal expansion system for two optical elements fixed by homogenous material structural member, between two neighboring optical surface Number is the thermal expansion coefficient of the homogenous material;
2) thermal expansion for two optical elements fixed by non-homogenous material structural member, between two neighboring optical surface Coefficient is to calculate the thermal expansion coefficient obtained by step S2;
3) for two adjacent optical surfaces on optical element, thermal expansion coefficient is used optical material by the optical element Thermal expansion coefficient.
4. optical system heat analysis method according to claim 1 or 2, which is characterized in that extract institute in the step S2 There are two the interval variation amounts of the adjacent surface of optical element, and calculate fiber yarn as thermal expansion coefficient;
Thermal expansion system in the step S3 between all two neighboring optical surfaces used when image quality analysis Number is calculated by step S2 and is obtained.
5. optical system heat analysis method according to claim 1 or 2, which is characterized in that extracted in the step S2 special Determine the interval variation amount on two adjacent optical surfaces between optical element and adjacent optical element, and calculates equivalent thermal expansion Coefficient is as thermal expansion coefficient;The particular optical element includes reflecting mirror and prism;
Thermal expansion system in the step S3 between all two neighboring optical surfaces used when image quality analysis Number includes:
1) for particular optical element and adjacent optical element, the thermal expansion coefficient between two neighboring optical surface is served as reasons Step S2 calculates the thermal expansion coefficient obtained;
2) for nonspecific optical element, the thermal expansion coefficient between two neighboring optical surface is the structure material of setting Thermal expansion coefficient;
3) for two adjacent optical surfaces on optical element, thermal expansion coefficient is used optical material by the optical element Thermal expansion coefficient.
6. optical system heat analysis method according to claim 1 or 2, which is characterized in that will be wait divide in the step S3 When the optical path of analysis optical system expands into coaxial optical system, wherein plane mirror is replaced with virtual face, and prism presses light path exhibition It opens as plate glass.
7. optical system heat analysis method according to claim 1 or 2, which is characterized in that calculated in the step S2 When fiber yarn, optical surface interval L is determined according to the type of optical element:
A, when two neighboring optical element is lens, parallel optical axis direction is in two adjacent optical surface maximum calibers Distance is used as optical surface interval L;
B, when two neighboring optical element is nonplanar reflector, made at a distance from the intersection point of optical axis with two adjacent optical surfaces For optical surface interval L;
C, when two neighboring optical element is followed successively by prism and lens, parallel optical axis side is in lens entrance surface maximum caliber To at a distance from prism exit surface be used as optical surface interval L;
D, when two neighboring optical element is followed successively by prism and plane mirror, with the intersection point on two adjacent optical surfaces and optical axis Distance as optical surface interval L;
E, when two neighboring optical element is followed successively by lens and plane mirror, the distance between and second point are calculated at first point As optical surface interval L, wherein first point of upright projection point for the point at the exit facet maximum caliber of lens on optical axis, Second point is the intersection point of plane mirror and optical axis;
F, when two neighboring optical element is plane mirror, made at a distance from the intersection point of optical axis with two adjacent optical surfaces For optical surface interval L;
G, when two neighboring optical element is prism, using two adjacent optical surfaces as optics at a distance from the intersection point of optical axis Surface interval L.
8. a kind of optical system thermal analysis system, which is characterized in that the described method includes:
Finite element analysis module carries out thermal deformation to finite element model for establishing the finite element model of optical system to be analyzed Analysis, wherein the optical system to be analyzed includes optical element and structural member;
Thermal expansion coefficient computing module, for extracting the two neighboring optical surface of at least part from the result of thermal deformation analysis With the intersection point of optical axis along the interval variation amount of optical axis direction, and fiber yarn is calculated based on the interval variation amount, as Thermal expansion coefficient between the two optical surfaces;
Thermal analysis module, the optical path for being analysed to optical system expands into coaxial optical system, and is based on all adjacent two Thermal expansion coefficient between a optical surface carries out the image quality under high/low temperature condition using the function of thermal analysis of optical software Analysis.
9. optical system thermal analysis system according to claim 8, which is characterized in that the thermal expansion coefficient computing module It is calculated by the following formula fiber yarn, comprising:
Wherein, Δ L is the intersection point of two neighboring optical surface and optical axis along the interval variation amount of optical axis direction, and Δ T is to limited Meta-model carries out applying variation of ambient temperature value when thermal deformation analysis, optical surface interval when L is original state.
10. optical system thermal analysis system according to claim 8 or claim 9, which is characterized in that the thermal expansion coefficient calculates Module extracts the interval variation amount of the adjacent surface by two fixed optical elements of non-homogenous material structural member, and calculates equivalent Thermal expansion coefficient is as thermal expansion coefficient;
Thermal expansion of the thermal analysis module between all two neighboring optical surfaces used when image quality analysis Coefficient includes:
1) the thermal expansion system for two optical elements fixed by homogenous material structural member, between two neighboring optical surface Number is the thermal expansion coefficient of the homogenous material;
2) thermal expansion for two optical elements fixed by non-homogenous material structural member, between two neighboring optical surface Coefficient is to calculate the thermal expansion coefficient obtained by thermal expansion coefficient computing module;
3) for two adjacent optical surfaces on optical element, thermal expansion coefficient is used optical material by the optical element Thermal expansion coefficient.
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