Application of modified sensitivity matrix method in alignment of off-axis telescope

GU Zhi-yuan; YAN Chang-xiang; LI Xiao-bing; HU Chun-hui; WANG Yang

doi:10.3788/OPE.20152309.2595

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Application of modified sensitivity matrix method in alignment of off-axis telescope

更新时间：2020-08-12

- Application of modified sensitivity matrix method in alignment of off-axis telescope
- Optics and Precision Engineering Vol. 23, Issue 9, Pages: 2595-2604(2015)
- 作者机构：
  
  1. 中国科学院长春光学精密机械与物理研究所,吉林长春,中国,130033
  2. 中国科学院大学北京,中国,100049
  3. 长春奥普光电技术股份有限公司,吉林长春,130033
- 作者简介：
- 基金信息：
- DOI：10.3788/OPE.20152309.2595
  CLC： TH703;TH743
- Received：20 November 2014，
  
  Revised：20 January 2015，
  
  Published：25 September 2015
- 稿件说明：
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顾志远, 颜昌翔, 李晓冰等. 改进的灵敏度矩阵法在离轴望远镜装调中的应用[J]. 光学精密工程, 2015,23(9): 2595-2604

GU Zhi-yuan, YAN Chang-xiang, LI Xiao-bing etc. Application of modified sensitivity matrix method in alignment of off-axis telescope[J]. Editorial Office of Optics and Precision Engineering, 2015,23(9): 2595-2604
顾志远, 颜昌翔, 李晓冰等. 改进的灵敏度矩阵法在离轴望远镜装调中的应用[J]. 光学精密工程, 2015,23(9): 2595-2604 DOI： 10.3788/OPE.20152309.2595.

GU Zhi-yuan, YAN Chang-xiang, LI Xiao-bing etc. Application of modified sensitivity matrix method in alignment of off-axis telescope[J]. Editorial Office of Optics and Precision Engineering, 2015,23(9): 2595-2604 DOI： 10.3788/OPE.20152309.2595.

摘要

为了在较大失调范围内准确求解离轴梅逊式无焦卡塞格林望远镜元件的失调量

提出了基于改进的灵敏度矩阵模型的计算机辅助装调方法。分析了传统灵敏度矩阵法的原理及局限性

并在传统方法的数学模型中加入二次修正项

对传统计算机辅助装调技术进行了改进。针对离轴望远镜系统

分析了次镜失调状态下系统的像差特性

分别采用改进模型和传统模型对系统失调量与像差间的映射关系进行近似

并对失调望远镜系统进行仿真装调。仿真装调结果表明:在次镜偏心为±8 mm、倾斜为±1.5°的失调范围内

传统方法计算得到的次镜

x、y、z

偏心量和

α、β

倾斜量均方根误差分别是:2.689 mm、2.494 mm、0.194 mm和0.500°、0.525°而改进方法对应的计算结果为:0.404 mm、0.323 mm、0.047 mm和0.064°、0.065°

显示改进后的灵敏度矩阵方法的失调量求解准确度大幅优于传统方法。最终

采用改进方法对望远镜进行装调

得到了轴上视场波像差(均方根值RMS)为0.056

(

=632.8 nm)

边缘视场波像差RMS均优于0.1

的良好装调结果。得到的结果满足设计要求。

Abstract

To calculate the misalignments of optical elements accurately in an off-axis Mersenne afocal Cassegrain telescope

a computer-aided alignment method based on modified sensitivity matrix model was proposed. The principle and limitations of conventional sensitivity matrix method were analyzed. By means of adding a quadratic correction term to conventional sensitivity matrix model

the conventional computer-aided alignment technology was improved. For the off-axis telescope

the aberration characteristics were analyzed when the secondary mirror was misaligned. The modified model and conventional model were used to approximate the mapping relationships between misalignments and aberrations. Then the alignment of misaligned telescope was simulated. The simulation results in the range of decenter ±8 mm and tilt ±1.5° for a secondary mirror show that the root mean square error of

-decenters and

α-

-tilts of the secondary mirror calculated by conventional method are 2.689 mm

2.494 mm

0.194 mm and 0.500°

0.525° respectively

and the corresponding calculations by modified method are 0.404 mm

0.323 mm

0.047 mm and 0.064°

0.065° respectively. The calculation accuracy of the modified sensitivity matrix method is much higher than that of the conventional method. Finally

the telescope is well aligned with the modified method

and the results give that the Wavefront Errors(WFEs) RMS on axis is 0.056

(

=632.8 nm)

while the WFEs RMS(Root Mean Square) in marginal field of view are better than 0.1

.The results meet the design requirements.

关键词

Keywords

references

EGDALL I M. Manufacture of a three-mirror wide-field optical system [J].Opt.Eng.,1985,24(2):285-289.

杨晓飞. 三反射镜光学系统的计算机辅助装调技术研究[D]. 长春:中国科学院长春光学精密机械与物理研究所, 2004. YANG X F. Study on the computer-aided alignment of three-mirror optical system [D].Changchun:Changchun Institute of Optics, Fine Mechanics and Physics, Chinese Academy of Science,2004.(in Chinese)

巩盾, 田铁印, 王红. 利用Zernike系数对离轴三反射系统进行计算机辅助装调[J]. 光学精密工程, 2010,18(8):1754-1759. GONG D,TIAN T Y,WANG H. Computer aided alignment of off-axis three mirror system by using Zernike coefficients[J]. Opt. Precision Eng., 2010,18(8):1754-1759.(in Chinese)

HVISC A M, BURGE J H. Alignment analysis of four-mirror spherical aberration correctors[C].SPIE Astronomical Telescopes+ Instrumentation. International Society for Optics and Photonics, 2008:701819-701819-12.

孙敬伟,吕天宇,姚丽双,等. 发射望远镜的设计与装调[J]. 光学精密工程, 2014, 22(2):369-375. SUN J W, LV T Y, YAO L SH, et al.. Design and assembly of transmitter-telescope [J]. Opt. Precision Eng., 2014, 22(2):369-375.(in Chinese)

赵阳,巩岩. 投影物镜小比率模型的计算机辅助装调[J]. 中国光学, 2012, 5(4):394-400. ZHAO Y, GONG Y. Computer aided alignment of small scale projected objective [J]. Chinese Journal of Optics and Applied Optics, 2012, 5(4):394-400.(in Chinese)

KIM S, YANG H S, LEE Y W, et al.. Merit function regression method for efficient alignment control of two-mirror optical systems [J].Optics Express, 2007, 15(8):5059-5068.

THOMPSON K P. Aberration fields in tilted and decentered optical systems [D]. Arizona:The University of Arizona,1980.

史广维. 基于矢量波像差理论的反射望远系统装调研究[D]. 长春:中国科学院长春光学精密机械与物理研究所, 2011. SHI G W. Study of reflective telescopes alignment based on vector wavefrontaberration [D].Changchun:Changchun Institute of Optics, Fine Mechanics and Physics, Chinese Academy of Science,2011.(in Chinese)

LEE H, DALTON G B, TOSH I A J, et al.. Computer-guided alignment II:Optical system alignment using differential wavefront sampling [J]. Optics Express, 2007, 15(23):15424-15437.

OTEO E, ARASA J. New strategy for misalignment calculation in optical systems using artificial neural networks [J]. Optical Engineering, 2013, 52(7):074105-074105.

王钰,张新,王灵杰,等. 基于人工神经网络方法的自由曲面光学系统装调[J]. 光学学报, 2013, 33(12):1211001. WANG Y, ZHANG X, WANG L J, et al.. Freeform optical system alignment based on artificial neural networks [J]. Acta Optica Sinica, 2013, 33(12):1211001.(in Chinese)

MANUEL A M. Field-dependent aberrations for misaligned reflective optical systems [D]. Arizona:The University of Arizona,2009.

顾志远,颜昌翔,胡春晖,等. 光学系统计算机辅助装调的坐标基准过渡方法[J]. 光学学报, 2014, 34(3):0322003. GU ZH Y,YAN CH X,HU CH H, et al.. Coordinate datum transition method for optical system computer-aided alignment[J]. Acta Optica Sinica,2014, 34(3):0322003.(in Chinese)

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Related Institution

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