CN103197419A - Simulation method of Golay structure multiple-mirror-face telescope system - Google Patents

Simulation method of Golay structure multiple-mirror-face telescope system Download PDF

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CN103197419A
CN103197419A CN2013101316187A CN201310131618A CN103197419A CN 103197419 A CN103197419 A CN 103197419A CN 2013101316187 A CN2013101316187 A CN 2013101316187A CN 201310131618 A CN201310131618 A CN 201310131618A CN 103197419 A CN103197419 A CN 103197419A
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CN103197419B (en
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吴峰
朱锡芳
吴泉英
钱霖
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Foshan Teng Yi optoelectronic Co., Ltd.
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Changzhou Institute of Technology
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Abstract

The invention relates to a simulation method of a Golay structure multiple-mirror-face telescope system. The simulation method comprises the following steps: (1) all subsidiary mirrors are divided into a plurality of Golay3 structure triple-subsidiary-mirror groups and a coordinate system is set up: (2) on the basis of a reflection-type or back-turning-type full aperture optical system, an 'empty object' stands for the coordinate system, a 'reflection face' stands for a subsidiary mirror, and a Golay structure spherical surface reflection mirror model is set up; (3) an executable program is set up through program design, a document which can be read by a corresponding optical design software is generated, the document is executed and simulation is achieved; and (4) component parameters are changed, the third step is repeated, relevant program codes are modified and the Golay structure multiple-mirror-face telescope system under a condition that errors exist is simulated. The simulation method of the Golay structure multiple-mirror-face telescope system is simple in principle, convenient to operate, rapid and convenient to conduct data analysis, and beneficial to evaluation of imaging quality of the Golay structure multiple-mirror-face telescope system and influence, on the imaging quality, of the errors and has guidance value for system manufacturing.

Description

The emulation mode of Golay structure multi mirror telescope system
Technical field
The invention belongs to the space remote sensing field, particularly the emulation mode of a kind of high-resolution optical remote sensing system.
Background technology
The required resolution of space telescope system is more high, and then its bore need manufacture and design more greatly.Along with the continuous development of Space Cause, the bore of space telescope is designed to be increasing.Make weight, volume, manufacturing and the detection difficulty of whole space telescope system all sharply increase but the bore of space telescope constantly increased, make and launch cost significantly increases that when bore arrived to a certain degree greatly, current technology can't be made.The sparse aperture imaging system is a kind of New Scheme that proposes for solution heavy caliber, the telescopical manufacturing issue of fine angular resolution, this space telescope system is arranged in by certain way with a plurality of small-bore systems that easily make to synthesize an optical imaging system together and substitute the full aperture imaging system, have the resolving power identical with the full aperture imaging system, but its weight is lighter, cost is lower, has boundless development prospect.
Actual available sparse aperture imaging system adopts the reflective or catadioptric formula structure of being made up of a plurality of catoptrons mostly, concrete the application 2 kinds of forms are arranged, be respectively (the Multiple-mirrortelescopes of multi mirror telescope system, MMT) and many telescopes telescopic system (Multiple-telescope telescopes, MTT) two types.The multi mirror telescope system also claims common secondary mirror telescopic system, is to use a plurality of littler sub-mirrors to replace the big catoptron of original monoblock on the basis of an autocollimator, and the circumscribed circle diameter of this a little mirror equals the bore of original primary mirror.Many telescopes telescopic system is that a plurality of small-bore sub-telescopes are combined into a bigbore imaging system by regularly arranged, by the telescopical imaging beam of each height of coherence stack, obtains the total system imaging.The arrangement architecture in the sub-aperture of sparse aperture mainly contains multiple structures such as annular, Golay and three arms, and it is higher that wherein the Golay structure is considered to nonredundancy, and the system performance of the sparse aperture imaging system of employing Golay structure is better.
The Golay structure is a kind of nonredundancy structure that is proposed by Golay in 1971, and the number of sub-mirror is 3 multiple.If the number M=3N of sub-mirror, wherein N is natural number, is called the GolayM structure according to the number of sub-mirror.For the Golay3 structure, the distance that three sub-vertexes are put full aperture catoptron central shaft equates that the vertical line angle each other that sub-vertex is put central shaft is 120 degree, and there is a circumscribed circle in three sub-mirrors, and the circumscribed circle bore equals the full aperture aperture of a mirror.The GolayM structure can be regarded as by N Golay3 structure and form, and each Golay3 structure has different circumscribed circles, and they have rotated different angles around central shaft.
At present, domestic is fundamental research sparse aperture imaging system with the perfect optical system model mainly, do not consider the curvature of optical surface, this class result of study there are differences when using with reality, and is even more important in conjunction with the multi mirror telescope systematic research of actual service factor.Simultaneously, because in processes such as manufacturing and installation, its ideal position may be departed from the position of each sub-mirror in the multi mirror telescope system, therefore the radius-of-curvature of optical surface also can produce error, its ideal position also may be departed from each sub telescopical position in the sparse aperture imaging system of many telescope configurations, and these errors all might exert an influence to the picture element of system imaging.Do not see the open report that conducts a research at the multi mirror telescope system with above-mentioned influence at present both at home and abroad as yet.
Summary of the invention
At the emulation mode of prior art middle high-resolution remote optical sensing system, the invention provides the emulation mode of a kind of Golay structure multi mirror telescope system.
Technical scheme of the present invention is:
The emulation mode of Golay structure multi mirror telescope system, concrete steps are as follows:
Step 1, all sub-mirrors are divided into N Golay3 structure three sub-mirror groups.So-called Golay3 structure three sub-mirror groups refer to form the combination that three sub-mirrors of Golay3 structure constitute, it is made up of three sub-mirrors, the distance that each sub-vertex is put the primary mirror central shaft equates, the vertical line angle each other that sub-vertex is put central shaft is 120 degree, there is a circumscribed circle in three sub-mirrors, the mirror mirror zone at circumscribed circle place is a spherical crown, the summit of this spherical crown is the summit of these Golay3 structure three sub-mirror groups, define this external diameter of a circle and be the bore of this group, claim through the summit straight line vertical with primary mirror to be the central shaft of this group.As N=1,2,3 ... Deng the time, respectively emulation Golay3, Golay6, Golay9 ... structure multi mirror telescope systems such as GolayM, M=3N.
Set up coordinate system in Golay structure multi mirror telescope system then.Concrete steps are:
Step (1) is set up XYZ coordinate system, and getting the catoptron summit that need be designed to the Golay structure is initial point, and the catoptron central shaft is that optical axis is taken as the Z axle, and positive dirction is along the direction of propagation of 0 degree visual field chief ray, X-axis, and Y-axis is vertical mutually with the Z axle, the formation right-handed coordinate system.
Step (2) is set up U in each Golay3 structure three sub-mirror group iV iW iCoordinate system, W iAxle overlaps with the Z axle, and the summit of one of them sub-mirror is at U iW iIn the plane, U iAxle, V iAxle, W iAxle is mutually orthogonal, becomes right-handed coordinate system, wherein 1≤i≤N.U iV iW iCoordinate system can be by XYZ coordinate system around Z axle rotation ψ iThe angle obtains, corner ψ iDetermined by system architecture.Work as ψ i=0 o'clock, U iV iW iCoordinate system and XYZ coordinate system overlap.
Step (3) is with U iV iW iCoordinate system rotates 0 °, 120 ° ,-120 ° respectively around the Wi axle, sets up ξ at three sub-mirrors of Golay3 structure three sub-mirror groups Ijη Ijζ IjCoordinate system, wherein j=1,2,3.For same i value, at each ξ Ijη Ijζ IjIn the coordinate system, sub-vertex point coordinate value is all the same with the inclination angle.
Step 2, designing on the reflective or catadioptric formula telescopic system of the full aperture that the contains spherical reflector basis of finishing, according to the required spherical reflector parameter that is designed to the Golay structure, set up Golay structure spherical reflector model.Concrete steps are as follows:
Step (1) is added the element that type is " empty object ", represents XYZ coordinate system.
Step (2) is added N the element that type is " empty object ", represents U respectively iV iW iCoordinate system, they with respect to XYZ coordinate are, initial point is (0,0,0), is ψ around the corner of Z axle i
Step (3) represents U at each iV iW iAdd three " empty object " type elements behind the element of coordinate system respectively, represent ξ Ijη Ijζ IjCoordinate system.With respect to U iV iW iCoordinate system, ξ Ijη Ijζ IjThe initial point of coordinate system is (0,0,0), and when j gets 1,2,3 o'clock, they were around W iCorner be respectively 0 °, 120 ° ,-120 °.
Step (4) represents ξ at each Ijη Ijζ IjAdd " reflecting surface " element respectively behind " empty object " element of coordinate system, represent sub-mirror, with respect to ξ Ijη Ijζ IjCoordinate system, the apex coordinate of " reflecting surface " element is:
b ix＝Rsin(β i)、b iy＝0、b iz＝R-Rcos(β i) (1)
β i = arcsin ( D i 2 R ) - arcsin ( d 2 R ) - - - ( 2 )
D wherein iBe the bore of Golay3 structure three sub-mirror groups, R is the radius-of-curvature of catoptron, and d is sub-aperture of mirror.
The central shaft of each element is around ξ Ij, η Ij, ζ IjThe rotation angle of axle is respectively
θ ix=0 i、θ iy=β i、θ iz=0 (3)
Step (5) is because U 1V 1W 1Coordinate system, XYZ coordinate system and ξ 11η 11ζ 11Coordinate system overlaps, U iV iW iCoordinate system and ξ I1η I1ζ I1Coordinate system overlaps, and counter element also overlaps, and merging these elements is an element.
Step 3, according to full aperture reflective or catadioptric formula telescopic system parameter and Golay structure spherical reflector model, according to the optical design software file layout, by program design, set up executable program, the file that generation can be read by corresponding optical design software.Carry out this document, realize the emulation to Golay structure multi mirror telescope system.
Step 4, by revising the parameters such as coordinate, inclination angle and radius-of-curvature of " reflecting surface " type element, return step 3, and revise related program code, the sub-mirror site error of emulation, droop error and radius-of-curvature error, error amount equals parameter value change amount.When change measured 0, the sub-mirror of analogue system did not have site error, droop error and radius-of-curvature error.
The technical scheme of emulation Golay structure multi mirror telescope systems approach of the present invention has the following advantages:
(1) principle is simple, and is easy to operate.The present invention has set up many groups coordinate system, utilizes the rotation relationship between coordinate system, determines position and the inclination angle of each sub-mirror.The sub-mirror that belongs to same Golay3 structure three sub-mirror groups, the parameter of " reflecting surface " element that represents them is in full accord.Parameter values such as the position of change element, inclination angle, radius-of-curvature are introduced error, and error amount is parameter value change amount.Adopt program design to generate the file that can be read by optical design software, realize emulation, when systematic parameter changes, only need the update routine code, simple to operate.
(2) the analysis data are convenient.The present invention sets up the file of corresponding optical design software, emulation multi mirror telescope system, and software has the power of analyzing optical system, facilitates for analyzing the multi mirror telescope mass of system.
Description of drawings
Fig. 1 is the process flow diagram of the emulation mode of Golay structure multi mirror telescope of the present invention system;
Fig. 2 is that a sub-mirror of Golay3 structure is at ξ 1jη 1jζ 1jThe location drawing in the coordinate system;
Fig. 3 is Golay3 structure multiple mirror telescope primary mirror simulation result synoptic diagram, and 1 is primary mirror, and 2,3,4 is three sub-mirrors;
Fig. 4 is Golay3 structure multi mirror telescope system emulation result schematic diagram, and 5 is secondary mirror, and 6 is image planes;
Fig. 5 works as the sub-mirror 2 of j=1 correspondence in the Golay3 structure primary mirror along ζ 11When the axle positive dirction moves 2mm, the distribution situation synoptic diagram of the sub-mirror of emulation gained on primary mirror;
Fig. 6 works as the sub-mirror 2 of j=1 correspondence in the Golay3 structure primary mirror around ξ 11When axle rotation 30 is spent, the distribution situation synoptic diagram of the sub-mirror of emulation gained on primary mirror;
Fig. 7 be sub-mirror 2 radius-of-curvature when j=1 correspondence in the Golay3 structure primary mirror become-during 26.5636mm, the distribution situation synoptic diagram of the sub-mirror of emulation gained on primary mirror;
Fig. 8 is the Golay6 plane structure chart;
Fig. 9 is Golay6 structure multiple mirror telescope primary mirror simulation result synoptic diagram, and 1 is primary mirror, and 2,3,4,7,8,9 is six sub-mirrors;
Figure 10 is Golay6 structure multi mirror telescope system emulation result schematic diagram, and 5 is secondary mirror, and 6 is image planes;
Figure 11 works as the sub-mirror 2 of i=j=1 correspondence in the Golay6 structure primary mirror along ζ 11When the axle positive dirction moves 2mm, the distribution situation synoptic diagram of the sub-mirror of emulation gained on primary mirror;
Figure 12 works as the sub-mirror 2 of i=j=1 correspondence in the Golay6 structure primary mirror around ξ 11When axle rotation 30 is spent, the distribution situation synoptic diagram of the sub-mirror of emulation gained on primary mirror;
Figure 13 be sub-mirror 2 radius-of-curvature when i=j=1 correspondence in the Golay6 structure primary mirror become-during 16.5636mm, the distribution situation synoptic diagram of the sub-mirror of emulation gained on primary mirror.
Embodiment
The present invention is described in detail below in conjunction with drawings and Examples:
The multi mirror telescope system belongs to the surface structure of more complicated, does not have ready-made face type in the existing optical design software.Optical design software commonly used has ZEMAX, CODE V etc., and they are for design and analyze optical system, as design and analysis camera lens, illuminator etc.The ZEMAX optical design software can operative norm sequence optical element ray tracing, non-sequence optical element parasitic light is followed the trail of and the physical optics beam propagation.It can also simulate ray by the propagation of optical element such as camera lens (comprising aspheric surface and gradient-index lens), catoptron, diffraction optical element etc.The ZEMAX optical design software also can analog element surface optics film effect, and can produce various standard analysis charts.It comprises abundant camera lens storehouse.Its physical optics transfer function can be used for considering the problem of diffraction, propagates holography and single-mode fiber optically-coupled as laser beam.The ZEMAX optical design software has powerful optimization tool external member, can be used for camera lens Automatic Optimal adjustment parameter and reduces aberration in order to improve performance to greatest extent, and abundant tolerance properties is arranged.Therefore, the ZEMAX optical design software comprises optical module, optical system analysis module.
CODE V is another kind widely used optical design and analysis software in the world, can the various symmetries of analysis optimization or asymmetric, conventional or unconventional complicated optical system, as the element that has three-dimensional off-centre and/or tilt, system can adopt special optical to look like the face type of diffraction grating, holography or binary optical face, complicated aspheric surface and user oneself definition.Software has non-order face ray tracing function, for design with analyze roof prism, corner reflector, light pipe, optical fiber, resonator cavity etc. to have the element ability of special light path powerful.CODEV has the functions such as optimization, analysis and tolerance distribution to imaging optical system and free space photon device.Therefore, CODE V optical design software also comprises optical module, optical system analysis module.
For sake of convenience, the catoptron that described need is designed to the Golay structure is taken as primary mirror, becomes the method for Golay structure identical therewith other mirror design.
Embodiment 1
The emulation mode of the Golay structure multi mirror telescope system of present embodiment is the emulation at Golay3 structure multi mirror telescope system, flow process as shown in Figure 1, concrete steps are as follows:
1. the characteristics according to the Golay structure are divided into N Golay3 structure three sub-mirror groups with all sub-mirrors, set up XYZ coordinate system, U iV iW iCoordinate system, ξ Ijη Ijζ IjCoordinate system, respectively corresponding full aperture catoptron, Golay3 structure three sub-mirror group and sub-mirrors, 1≤i≤N wherein, j=1,2,3.The initial point of three class coordinate systems overlaps, Z axle, W iAxle, ζ IjAxle overlaps.
See Fig. 4, described Golay3 structure three sub-mirror groups refer to form the combination that three sub-mirrors of Golay3 structure constitute, it is made up of three sub-mirrors, the distance that each sub-vertex is put the primary mirror central shaft equates, the vertical line angle each other that each sub-vertex is put central shaft is 120 degree, there is a circumscribed circle in three sub-mirrors, the mirror mirror zone at circumscribed circle place is the spherical crown shape, the summit of this spherical crown is the summit of these Golay3 structure three sub-mirror groups, define this external diameter of a circle and be the bore of these Golay3 structure three sub-mirror groups, the central shaft that will be called these Golay3 structure three sub-mirror groups through summit and the straight line vertical with primary mirror of these Golay3 structure three sub-mirror groups.As N=1,2,3 ... Deng the time, respectively emulation Golay3, Golay6, Golay9 ... structure multi mirror telescope systems such as GolayM, M=3N.
The Golay3 structure has three sub-mirrors 2,3,4, and system has only N=1 Golay3 structure three sub-mirror groups, at this moment the bore D of Golay3 structure three sub-mirror groups 1Equal primary mirror bore D.Set up XYZ coordinate system, primary mirror 1 summit is initial point, and primary mirror 1 central shaft is that optical axis is taken as the Z axle, and positive dirction is along the direction of propagation of 0 degree visual field chief ray, X-axis, and Y-axis is vertical mutually with the Z axle, the formation right-handed coordinate system.Set up U then 1V 1W 1Coordinate system, W 1Axle is consistent with the Z axle, makes the summit of sub-mirror 2 at U 1W 1In the plane, U 1Axle, V 1Axle, W 1Axle is mutually orthogonal, becomes right-handed coordinate system.With U 1V 1W 1Coordinate system is around W 1Axle rotates 0 °, 120 ° ,-120 ° respectively, obtains ξ 1jη 1jζ 1jCoordinate system corresponds respectively to three sub-mirrors, j=1 wherein, and 2,3, as shown in Figure 2.P and C point is respectively summit and the centre of sphere of primary mirror 1 among Fig. 2, and the summit of sub-mirror is S 1j, T 1j, M 1jBe sub-mirror and ξ 1jζ 1jThe intersection point of face, N 1jBe line segment T 1jM 1jMid point.
2. it is as shown in table 1 to have designed the two anti-system structure parameters of finishing, and the light hurdle is arranged on the primary mirror 1, and wavelength X is 0.55 μ m, and primary mirror 1 is sphere, bore D=50mm, and radius of curvature R=-126.5636mm, secondary mirror 5 is oblate ellipsoids.
Table 1 two anti-system structure parameters
Figure BDA00003056228900071
Then, set up Golay3 structure spherical reflector model, so that primary mirror is converted to the sparse aperture structure.Increase by 1,1,3 " empty object " elements respectively, represent XYZ, U 1V 1W 1, ξ 1jη 1jζ 1jCoordinate system represents ξ at each again 1jη 1jζ 1jIncrease by 1 " reflecting surface " element respectively behind " empty object " element of coordinate system, and parameter is set.Get sub-aperture of mirror d=7.5mm, according to formula (1)～(3), obtain b 1x=-17.6038mm, b 1y=0mm, b 1z=-1.2302mm, θ 1x=0 °, θ 1y=7.9928 °, θ 1z=0 °.
Then, merging coincidence element is an element, and the parameter of the element that obtains thus is as shown in table 2.
Table 2Golay3 primary mirror component parameters
Figure BDA00003056228900081
3. according to above parameter, according to the optical design software file layout, by program design, set up executable program, the file that generation can be read by corresponding optical design software.The simulation result that primary mirror 1 adopts the Golay3 structure as shown in Figure 3, Golay3 structure multi mirror telescope system emulation result is as shown in Figure 4.
4. by revising " reflecting surface " component parameters, introduce error, emulation has the system of error.When the sub-mirror 2 of j=1 correspondence respectively along ζ 11The axle positive dirction move 2mm, around ξ 11Axle rotation 30 degree, radius-of-curvature become-during 26.5636mm, set by step 3. the distribution situation of sub-mirror 2,3,4 on primary mirror 1 that obtain of emulation respectively shown in Fig. 5,6,7.
Embodiment 2
The emulation mode of the Golay structure multi mirror telescope system of present embodiment is that concrete steps are as follows at the emulation of Golay6 structure multi mirror telescope system:
1. total N=2 Golay3 structure three sub-mirror groups of Golay6 structure, planar structure as shown in Figure 8, wherein P represents the center of gravity of equilateral Δ ABE, three sub-mirrors 7,8,9 center S 21, S 22, S 23Be in the mid point on each bar limit of Δ ABE, in addition three sub-mirrors 2,3,4 center S 11, S 12, S 13Satisfy | AS 11|=| BS 12|=| ES 13|, all equal 1/4 of the length of side.Sub-mirror S 11, S 12, S 13Form a Golay3 structure three sub-mirror groups, the solid line circle is their circumscribed circle among the figure, and its diameter is made as D 1, equal the bore D of primary mirror.Sub-mirror S 21, S 22, S 23Form another Golay3 structure three sub-mirror groups, broken circle is its circumscribed circle among the figure, and diameter is made as D 2With reference to the method for similar embodiment 1, set up XYZ, U iV iW i, ξ Ijη Ijζ IjCoordinate system, 1≤i≤2 wherein, j=1,2,3.
2. the systems compliant that provides of the two anti-systems that obtain by optical design and table 1, primary mirror 1 is sphere, bore D=50mm, radius of curvature R=-126.5636mm.
Then, set up Golay6 structure spherical reflector model.Increase by 1,2,6 " empty object " type elements respectively, represent XYZ, U iV iW i, ξ Ijη Ijζ IjThe coordinate system coordinate system represents ξ at each again Ijη Ijζ IjIncrease by 1 " reflecting surface " element respectively behind " empty object " element of coordinate system, and parameter is set.Analysis chart 8 can get, U 1V 1W 1, U 2V 2W 2Coordinate system is ψ with respect to the rotation angle of XYZ coordinate system 1=0, ψ 2==40.8934 °.Get the bore d=5mm of sub-mirror, can try to achieve each sub-mirror at corresponding ξ according to formula (1)～(3) 1jη 1jζ 1jAnd ξ 2jη 2jζ 2jThe position of coordinate system, b 1x=-20.0789mm, b 1y=0mm, b 1z=-1.6029mm, b 2x=-15.2059mm, b 2y=0mm, b 2z=-0.9168mm, θ 1x=θ 2x=0 °, θ 1y=9.1284 °, θ 2y=6.9004 °, θ 1z=θ 2z=0 °.
Then, merging coincidence element is an element, and the component parameters that obtains thus is as shown in table 3.
Table 3Golay6 primary mirror component parameters
Figure BDA00003056228900091
3. according to above parameter, according to the optical design software file layout, by program design, set up executable program, the file that generation can be read by corresponding optical design software.The simulation result that primary mirror 1 adopts the Golay6 structure as shown in Figure 9, Golay6 structure multi mirror telescope system emulation result is as shown in figure 10.
4. by revising " reflecting surface " type component parameters, introduce error,, emulation has the system of error.When the sub-mirror 2 of i=j=1 correspondence respectively along ζ 11The axle positive dirction move 2mm, around ξ 11Axle rotation 30 degree, radius-of-curvature become-and during 16.5636mm, 3. the sub-mirror 2,3,4,7,8,9 that obtains of emulation distributes respectively shown in Figure 11,12,13 set by step.

Claims (3)

1.Golay the emulation mode of structure multi mirror telescope system specifically comprises the steps:
(1) according to the Golay design feature all sub-mirrors is divided into N Golay3 structure three sub-mirror groups, on full aperture catoptron, Golay3 structure three sub-mirror groups and sub-mirror, sets up XYZ coordinate system, U respectively iV iW iCoordinate system and ξ Ijη Ijζ IjCoordinate system, 1≤i≤N wherein, the initial point of j=1,2,3, three class coordinate systems overlaps, wherein, Z axle, W iAxle and ζ IjAxle overlaps;
(2) designing on the reflective or catadioptric formula full aperture optical system basis of containing spherical reflector of finishing, according to the required spherical reflector parameter that is designed to the Golay structure, set up Golay structure spherical reflector model;
(3) reflective or catadioptric formula telescopic system parameter and Golay structure spherical reflector model according to full aperture, according to the optical design software file layout, by program design, set up executable program, the file that generation can be read by corresponding optical design software, carry out this document, realize the emulation to Golay structure multi mirror telescope system;
That (4) revises " reflecting surface " element comprises coordinate, inclination angle and radius-of-curvature parameter, return step (3), revise related program code, Golay structure multi mirror telescope system when the sub-mirror of emulation has site error, droop error and radius-of-curvature error respectively, error amount equals parameter value change amount; When change measured 0, the sub-mirror of analogue system did not have site error, droop error and radius-of-curvature error.
2. the emulation mode of Golay structure multi mirror telescope according to claim 1 system, it is characterized in that: it is as follows to set up Golay structure spherical reflector model concrete steps in the described step (2):
(a) add an empty object elements, represent XYZ coordinate system;
(b) add N empty object elements, represent U iV iW iCoordinate system, each element is (0,0,0) with respect to the coordinate of XYZ coordinate system, is ψ around the corner of Z axle i, ψ iBy the Golay structures shape that adopts;
(c) representing U iV iW iAdd three empty object elements behind the element of coordinate system respectively, represent ξ Ijη Ijζ IjCoordinate system is with respect to U iV iW iCoordinate system, their coordinate figure are (0,0,0), and when j gets 1,2, three coordinate systems of 3 o'clock are around W iCorner be respectively 0 °, 120 ° ,-120 °;
(d) represent ξ at each Ijη Ijζ IjAdd a reflecting surface element behind the element of coordinate system respectively, represent sub-mirror, the setting element parameter, if the sub-mirror of representative belongs to same Golay3 structure three sub-mirror groups, under free from error situation, component parameters is identical;
(e) merge coincidence element.
3. the emulation mode of Golay structure multi mirror telescope according to claim 1 and 2 system, it is characterized in that: the catoptron that need be designed to the Golay structure described in the step (2) is any one catoptron in the system.
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CN112906203A (en) * 2021-01-29 2021-06-04 北京邮电大学 Simulation design method for main reflector
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