Error analysis of moving mirror in Fourier transform interferometer

ZENG Li-bo; YIN Bang-sheng; HE Bing; GONG Dan

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Error analysis of moving mirror in Fourier transform interferometer

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- Error analysis of moving mirror in Fourier transform interferometer
- Optics and Precision Engineering Vol. 14, Issue 2, Pages: 191-196(2006)
- 作者机构：
  
  武汉大学光谱与成像仪器工程中心,湖北武汉,430072
- 作者简介：
- 基金信息：
- DOI：
  CLC： TH744.1
- Received：14 May 2005，
  
  Revised：12 January 2006，
  
  Published Online：30 April 2006，
  
  Published：30 April 2006
- 稿件说明：
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ZENG Li-bo, YIN Bang-sheng, HE Bing, et al. Error analysis of moving mirror in Fourier transform interferometer[J]. Optics and precision engineering, 2006, 14(2): 191-196.
DOI：

ZENG Li-bo, YIN Bang-sheng, HE Bing, et al. Error analysis of moving mirror in Fourier transform interferometer[J]. Optics and precision engineering, 2006, 14(2): 191-196. DOI：

摘要

通过建立傅里叶变换光谱仪中动镜、定镜和干涉面的坐标对应关系

对动镜存在多个方向倾斜时的干涉光路进行了详细的分析。建立了非准直状态下干涉面光强分布的二维数学模型

确立了干涉图函数的数学表达式

从调制度、相位误差和频率噪声的角度

对动镜倾斜造成的影响进行了系统分析。在动镜的运动中

左右方向的倾斜和俯仰方向的倾斜对系统的影响彼此具有独立性

又具有叠加性;干涉图中初相位因子随光程差改变缓慢变化或快速变化

对相位误差的影响也不全相同。在倾斜误差分析的基础上

对动镜的最大倾斜角度和减少误差的方法进行讨论

并提出了两种动态准直校正的思路。

Abstract

Based on the coordinate correspondence of the moving mirror

fixed mirror and interference surface in Fourier transform interferometer

the interference mode was analyzed under moving mirror tilted in several directions. In tilting status

a two dimension mathematical model of the interference plane was brought out

and the function of the interferogram was established. By analyzing the modulation depth

phase error and frequency noise

the error of the moving mirror were studied theoretically. It is found out that the different titling directions of moving mirror affect the system error independently

at the same time they can be added. The original phase of the interferogram is changed slowly or rapidly with the optical path difference changed

and the phase error is different too. Based on the error analysis

the max titling angle can be computed

two methods to keep adaptive alignment are also discussed.

关键词

Keywords

references

. 相里斌,杨建峰. 干涉光谱仪动镜倾斜误差容限分析 . 光子学报,1997,26(2) :132-135. XIANG L B,YANG J F. The tolerance of the mirror tilting in Fourier transform spectroscopy[J]. Acta Photonica Sinica, 1997,26(2) :132-135.(in Chinese)

. 相里斌. 傅里叶变换光谱仪中的主要技术环节[J]. 光子学报, 1997,26(6): 550-553. XIANG L B. The key design issues in Fourier transform spectroscopy[J]. Acta Photonica Sinica,1997,26(6): 550-553.(in Chinese)

. 于立民.代作晓. 相位检测法定镜自适应校正技术[J]. 光学精密工程, 2003.10 11(5): 448-452. YU L M, DAI X Z. Adaptive alignment of fixed mirror by phase detection[J].Optics and Precision Engineering, 2003,11(5): 448-452.(in Chinese)

. BELL R J. Introductory Fourier transform spectroscopy[M].New York :Academic Press,1972.

. 于立民. 傅里叶变换光谱仪自适应校正系统的研究[J].红外,2001,12:1-11. YU L M. Adaptive alignment system on Fourier transform spectroscopy [J].Infrared, 2001,12:1-11.(in Chinese)

. 吴瑾光. 近代傅里叶变换红外光谱技术与应用[J]. 科学文献出版社,1994,12:24-25. WU J G. The technology and application of Fourier transform spectroscopy . Scientific and Technical Documents Publishing House,1994,12:24-25.(in Chinese)

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