Calibration of thermal distortion for large aperture SiC lightweight mirror

Wu Xiao-xia; WANG Ming-hao; MING Ming; WANG Fu-guo

doi:10.3788/OPE.20122006.1243

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Calibration of thermal distortion for large aperture SiC lightweight mirror

更新时间：2020-08-12

- Calibration of thermal distortion for large aperture SiC lightweight mirror
- Optics and Precision Engineering Vol. 20, Issue 6, Pages: 1243-1249(2012)
- 作者机构：
  
  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
- 作者简介：
- 基金信息：
- DOI：10.3788/OPE.20122006.1243
  CLC： TH751
- Received：06 February 2012，
  
  Revised：28 March 2012，
  
  Published Online：10 June 2012，
  
  Published：10 June 2012
- 稿件说明：
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吴小霞, 王鸣浩, 明名, 王富国. 大口径SiC轻量化主镜热变形的定标[J]. 光学精密工程, 2012,20(6): 1243-1249

Wu Xiao-xia, WANG Ming-hao, MING Ming, WANG Fu-guo. Calibration of thermal distortion for large aperture SiC lightweight mirror[J]. Editorial Office of Optics and Precision Engineering, 2012,20(6): 1243-1249
吴小霞, 王鸣浩, 明名, 王富国. 大口径SiC轻量化主镜热变形的定标[J]. 光学精密工程, 2012,20(6): 1243-1249 DOI： 10.3788/OPE.20122006.1243.

Wu Xiao-xia, WANG Ming-hao, MING Ming, WANG Fu-guo. Calibration of thermal distortion for large aperture SiC lightweight mirror[J]. Editorial Office of Optics and Precision Engineering, 2012,20(6): 1243-1249 DOI： 10.3788/OPE.20122006.1243.

摘要

为了准确地预算出大口径SiC轻量化主镜镜面的温度变形

研究了不同热模式下SiC轻量化主镜镜面面形的定标和计算方法。将SiC轻量化主镜上的温度传感器在轴向厚度方向上进行分层处理

对每层上的温度分布采用准Zernike多项式进行拟合。以4 m SiC轻量化主镜为例

采用有限元法分别对准Zernike前9项温度模式(18种温度场)下的镜面变形进行定标计算

得出各种单位载荷作用下轻量化主镜镜面的最大变形以及面形误差PV值和RMS值。计算结果表明:准Zernike第一项模式、单位载荷作用下镜面变形最大

其面形误差RMS为278.3 nm。采用最小二乘法对各种温差场下的镜面误差进行准Zernike多项式拟合

获得了准Zernike像差项的系数。采用最小二乘法拟合计算出镜面变形误差产生的准Zernike像差项的系数

结果表明

18种温度场下产生的像差形式主要有:平移、倾斜、离焦、彗差和像散。

Abstract

To estimate the thermal distortion of a large aperture SiC lightweight primary mirror exactly

the calibration and calculation methods for the SiC lightweight mirror were researched in different thermal modes. Temperature sensors stuck on the lightweight mirror were divided into three levels along an optic axial direction

and the temperatures at each level were fitted by quasi-Zernike polynomials

respectively. By taking a 4 m SiC lightweight mirror for an example

the Finite Element Method(FEM) built by MSC.Patran was used to calibrate and calculate the thermal distortion in eighteen kind temperature fields of the first ninth quasi-Zernike polynomials and the Max deformation

surface error PV and RMS values due to the lightweight mirror thermal distortion were obtained for different temperature patterns. Calculation results show that the deformation of lightweight mirror is max under the first quasi-Zernike polynomial temperature pattern

and the surface error RMS value is 278.3 nm. Using a least-square method

the aberration coefficients of surface errors are calculated by quasi-Zernike polynomial wavefront fitting program for each temperature field

and the main aberration caused by the thermal distortion is piston

tilt

defocus

coma and astigmatism.

关键词

Keywords

references

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王富国, 杨洪波, 赵文兴, 等. 1.2 m SiC主镜轻量化设计与分析[J]. 光学精密工程, 2009,17(1):85-91. WANG F G, YANG H B, ZHAO W X, et al.. Lightweight design and analysis of a 1.2 m SiC primary mirror[J]. Opt. Precision Eng., 2009,17(1):85-91. (in Chinese)

冯树龙, 张新, 翁志成,等. 温度对大口径主镜面形变形的影响分析[J]. 光学技术,2005,31(1):41-43. FENG SH L, ZHANG X, WENG ZH CH, et al.. Study on deformation of surface figure of large-aperture mirror in temperature field[J]. Optical Technique, 2005,31(1):41-43. (in Chinese)

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吴清文,卢锷,王家骐,等. 主镜稳定温度场特性分析 [J]. 光学精密工程, 1996,4(6):47-53. WU Q W, L E, WANG J Q, et al.. A study on static thermal properties of primary mirror[J]. Opt. Precision Eng., 1996,4(6):47-53. (in Chinese)

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解滨, 肖志宏, 余景池. 利用准Zernike 多项式分析超薄镜热变形[J]. 光学精密工程, 2007, 15(2):173-179. XIE B, XIAO ZH H, YU J CH. Analyzing thermal deformation of ultra-thin mirror using Zernike polynomials[J]. Opt. Precision Eng., 2007,15(2):173-179. (in Chinese)

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