凹面光栅衍射效率测量值的影响因素及补偿方法研究

doi:10.3964/j.issn.1000-0593(2013)11-3162-05

Abstract
References
Related Citation (13)

Download: PDF (1263 KB)
Export: BibTeX | EndNote (RIS)

Abstract The present paper aimed at the question that the beam cross-section changes according to the rotation of concave grating during the measuring process, and the appropriate supplement to the principle of the program was done. The appropriate supplement to the principle lay the foundation for the derivation of the beam cross-section k(θ), and the whole analytical expression of changes factor of the beam cross-section k(θ) for concave grating was derived. Because of the relationship between the theoretical values and the factors which affect the diffraction efficiency measuring accuracy was nonlinear, the quadratic nonlinear regression analysis was introduced and the compensating formula was established. The results show further correction to diffraction efficiency measurements for concave grating, the range of differences between the compensated values and the theoretical values was reduced from ±2.5% to less than ±0.3% , compared with the linear regression analysis, and the quadratic nonlinear regression analysis significantly reduces the variation between the compensated values and the theoretical values，which further ensures the accurate measurement of the diffraction efficiency for concave gratings. The compensating process is embedded in the measurement program; this method is strongly real-time, which can satisfy the requirements of simple operation, testing speediness and preciseness.

Key words：Concave gratings;Diffraction efficiency;Quadratic nonlinear regression analysis

Received: 2013-03-06 Accepted: 2013-05-08

ZTFLH:

O433.4

Corresponding Authors: Bayanheshig E-mail: bayin888@sina.com

Cite this article:

CAO Hai-xia,Bayanheshig,CUI Ji-cheng, et al. Research on Influencing Factors and Compensation Method of Testing Results for Concave Gratings Diffraction Efficiency [J]. SPECTROSCOPY AND SPECTRAL ANALYSIS, 2013, 33(11): 3162-3166.

URL:

https://www.gpxygpfx.com/EN/10.3964/j.issn.1000-0593(2013)11-3162-05 OR https://www.gpxygpfx.com/EN/Y2013/V33/I11/3162

[1] PAN Ming-zhong, LIU Yu-juan, CHEN Shao-jie，et al(潘明忠，刘玉娟，陈少杰, 等). Optics and Precision Engineering(光学精密工程), 2012, 20(8): 1725.
[2] TANG Yu-guo, SONG Nan, Bayanheshig, et al(唐玉国，宋楠，巴音贺希格，等). Optics and Precision Engineering(光学精密工程)，2010, 18(9): 1989.
[3] KONG Peng, Bayanheshig, LI Wen-hao, et al(孔鹏，巴音贺希格，李文昊，等). Acta Optica Sinica(光学学报)，2011, 31(2): 0205001.
[4] ZHU Shao-ji, ZOU Hai-xing, BAO Xue-cheng，et al(祝绍箕, 邹海兴, 包学诚, 等). Diffraction Grating(衍射光栅). Beijing: China Machine Press(北京：机械工业出版社)，1986. 35.
[5] KOU Jie-ting, WU Na, Bayanheshig，et al(寇婕婷，吴娜，巴音贺希格，等). Optics and Precision Engineering(光学精密工程), 2012, 20(6)：1225.
[6] Bayanheshig(巴音贺希格). Graduate University of Chinese Academy of Sciences(中国科学院研究生院), 2004. 144.
[7] KOU Jie-ting, Bayanheshig, TANG Yu-guo, et al(寇婕婷，巴音贺希格，唐玉国，等). Acta Optica Sinica(光学学报), 2011, 31(7): 0705002.
[8] ZHANG Shan-wen, Bayanheshig(张善文，巴音贺希格). Optics and Precision Engineering(光学精密工程)，2009, 17(5): 990.
[9] LI Quan-chen, JIANG Yue-juan(李全臣，蒋月娟). The Theory of Spectrometer(光谱仪器原理). Beijing：Beijing Institute of Technology Press(北京：北京理工大学出版社)，1999. 115.
[10] WU Guo-an(吴国安). Design of Optical Spectrometer(光谱仪器设计). Beijing：Science Press(北京：科学出版社)，1978. 101.
[11] KONG Peng(孔鹏). Graduate University of Chinese Academy of Sciences(中国科学院研究生院), 2011, 24.
[12] LI Ning, YANG Ci-yin, CAO Li-hua，et al(李宁，杨词银，曹立华，等). Optics and Precision Engineering(光学精密工程)，2011, 19(10): 2319.
[13] XU Xiang-dong, LIU Zheng-kun, QIU Ke-qiang，et al(徐向东，刘正坤，邱克强，等). Optics and Precision Engineering(光学精密工程)，2012, 20(1): 1.
[14] ZHU Hong-chun, Bayanheshig(朱洪春，巴音贺希格). Acta Optica Sinica(光学学报)，2007, 27(7): 1151.