空间调制傅里叶变换光谱仪分束器色散特性研究

吕金光; 梁静秋; 梁中翥

doi:10.7498/aps.61.140702

摘要

在基于多级微反射镜的傅里叶变换光谱仪中,由于分束器的色散特性, 不同波长的干涉图具有不同的横向偏移量,其在横向空间会发生混叠. 同时,不同波长的干涉图还具有不同的光程差偏移量,使其在纵向空间也会发生混叠. 根据几何光学原理,干涉图的横向混叠会减小干涉图元的有效面积. 计算表明,本研究中干涉图元的横向混叠面积为总面积的3.4%, 通过数据处理扣除混叠部分可以消除横向混叠的影响. 干涉图的纵向混叠会产生一个附加的相位延迟,削弱谱线的强度. 经分析,附加相位延迟与分束器和补偿板之间的厚度差成正比. 本文给出了发生对比度反转时分束器与补偿板厚度差的极限值, 并利用解线性方程组的方法对纵向混叠的干涉图进行了校正, 反演出的光谱与理想光谱的标准偏差仅为1.7610-14.

关键词:

Abstract

Due to the chromatic dispersion of beam splitter, the interferogram units from various wavelengths could shift by different offsets, leading to interferogram aliasing in transverse space. Simultaneously, the interferograms of different wavelengths have different offsets of optical path difference, which makes the interferogram aliasing in vertical space. According to geometric optics principles, the transverse aliasing of the interferogram reduces the area of the interferogram unit, and the vertical aliasing of the interferogram leads to a phase-frequency response which could reduce the spectral line intensity. The calculation and the analysis indicate that the transverse aliasing area is only 3.4% of the total area of the interferogram unit in our study, which could be removed in the data processing; and the phase delay from the vertical aliasing of the interferogram is proportional to the thickness difference between the beam splitter and the compensating plate. The maximal thickness difference is provided when the contrast reversion appears in the interference fringe. Finally, we correct the chromatic dispersion from the aliasing interferogram by solving linear equation set, and recover the ideal spectrum.

Keywords:

作者及机构信息

1.
中国科学院长春光学精密机械与物理研究所, 应用光学国家重点实验室, 长春 130033;

2.
中国科学院研究生院, 北京 100049

基金项目: 国家自然科学基金(批准号: 61027010, 60977062)、国家高技术研究发展计划(批准号: 2009AA04Z315)和吉林省科技发展计划(批准号: 201205025) 资助的课题.

Authors and contacts

1.
State Key Laboratory of Applied Optics, Changchun Institute of Optics, Fine Mechanics and Physics, Chinese Academy of Sciences, Changchun 130033, China;

2.
Graduate University of Chinese Academy of Sciences, Beijing 100049, China

Funds: Project supported by the National Natural Science Foundation of China (Grant Nos. 61027010, 60977062), the National High Technology Research and Development Program of China (Grant No. 2009AA04Z315), and the Jilin Province Science and Technology Development Plan, China (Grant No. 201205025).

参考文献

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[2]	Manzardo O 2002 M.S. Dissertation (Switzerland: Neuchatel University)
[3]	Anatoliy M, Henrik A, Goran T, Hans-Erik N 2006 Proc. SPIE 6395 639504
[4]	Lin L, Ren Z, Li G 2008 Spectrosc. Spect. Anal. 28 2067 (in Chinese) [林凌, 任钊, 李刚 2008 光谱学与光谱分析 28 2067]
[5]	Tian E M, Zhang J L, Li X, Zhang Y, Wang Z B 2009 Spectrosc. Spect. Anal. 29 853 (in Chinese) [田二明, 张记龙, 李晓, 张悦, 王志斌 2009 光谱学与光谱分析 29 853]
[6]	Kong Y M, Liang J Q, Liang Z Z, Wang B, Zhang J 2009 Proc. SPIE 7283 728304
[7]	Wang B, Liang Z Z, Kong Y M, Liang J Q, Fu J G, Zheng Y, Zhu W B, Lü J G, Wang W B, Pei S, Zhang J 2010 Acta Phys. Sin. 59 907 (in Chinese) [王波, 梁中翥, 孔延梅, 梁静秋, 付建国, 郑莹, 朱万彬, 吕金光, 王维彪, 裴舒, 张军 2010 物理学报 59 907]
[8]	Fu J G, Liang Z Z, Liang J Q 2010 Spectrosc. Spect. Anal. 30 3203 (in Chinese) [付建国, 梁中翥, 梁静秋 2010 光谱学与光谱分析 30 3203]
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[10]	Jian X H, Zhang C M, Zhao B C 2007 Acta Phys. Sin. 56 824 (in Chinese) [简小华, 张淳民, 赵葆常 2007 物理学报 56 824]
[11]	Lü Q B, Yao T, Xiang L B, Huang M 2010 Spectrosc. Spect. Anal. 30 114 (in Chinese) [吕群波, 姚涛, 相里斌, 黄旻 2010 光谱学与光谱分析 30 114]
[12]	Xiang L B, Yuan Y, Lü Q B 2009 Acta Phys. Sin. 58 5399 (in Chinese) [相里斌, 袁艳, 吕群波 2009 物理学报 58 5399]
[13]	Jian X H, Zhang C M, Zhang L, Zhao B C 2010 Opt. Express 18 5674
[14]	Jian X H, Zhang C M, Zhu B H, Ren W Y 2010 Acta Phys. Sin. 59 6131 (in Chinese) [简小华, 张淳民, 祝宝辉, 任文艺 2010 物理学报 59 6131]
[15]	Zhang C M, Jian X H 2010 Opt. Lett. 35 366
[16]	Zhang C M, Huang W J, Zhao B C 2010 Acta Phys. Sin. 59 5479 (in Chinese) [张淳民, 黄伟健, 赵葆常 2010 物理学报 59 5479]
[17]	Wu H Y, Zhang C M, Zhao B C, Li Y C 2009 Acta Phys. Sin. 58 1642 (in Chinese) [吴海英, 张淳民, 赵葆常, 李英才 2009 物理学报 58 1642]
[18]	Zhang C M, Ren W Y, Mu T K 2010 Chin. Phys. B 19 024202
[19]	Wu J F, Zhang C M 2010 Chin. Phys. B 19 034201
[20]	Ruan K, Zhang C M, Zhao B C 2008 Acta Phys. Sin. 57 5435 (in Chinese) [阮锴, 张淳民, 赵葆常 2008 物理学报 57 5435]
[21]	Zhang C M, Ai J J, Ren W Y 2011 Chin. Phys. B 20 020701
[22]	Zhang C M, Zhao J K, Sun Y 2011 Appl. Opt. 50 3497
[23]	Mu T K, Zhang C M, Zhang B C 2009 Acta Phys. Sin. 58 3877 (in Chinese) [穆廷魁, 张淳民, 赵葆常 2009 物理学报 58 3877]

施引文献

[1]	Weng S F 2005 Fourier Transform Infrared Spectrometer (Beijing: Chemical Industry Press) p34 (in Chinese) [翁诗甫 2005 傅里叶变换红外光谱仪(北京:化学工业出版社) 第34页]
[2]	Manzardo O 2002 M.S. Dissertation (Switzerland: Neuchatel University)
[3]	Anatoliy M, Henrik A, Goran T, Hans-Erik N 2006 Proc. SPIE 6395 639504
[4]	Lin L, Ren Z, Li G 2008 Spectrosc. Spect. Anal. 28 2067 (in Chinese) [林凌, 任钊, 李刚 2008 光谱学与光谱分析 28 2067]
[5]	Tian E M, Zhang J L, Li X, Zhang Y, Wang Z B 2009 Spectrosc. Spect. Anal. 29 853 (in Chinese) [田二明, 张记龙, 李晓, 张悦, 王志斌 2009 光谱学与光谱分析 29 853]
[6]	Kong Y M, Liang J Q, Liang Z Z, Wang B, Zhang J 2009 Proc. SPIE 7283 728304
[7]	Wang B, Liang Z Z, Kong Y M, Liang J Q, Fu J G, Zheng Y, Zhu W B, Lü J G, Wang W B, Pei S, Zhang J 2010 Acta Phys. Sin. 59 907 (in Chinese) [王波, 梁中翥, 孔延梅, 梁静秋, 付建国, 郑莹, 朱万彬, 吕金光, 王维彪, 裴舒, 张军 2010 物理学报 59 907]
[8]	Fu J G, Liang Z Z, Liang J Q 2010 Spectrosc. Spect. Anal. 30 3203 (in Chinese) [付建国, 梁中翥, 梁静秋 2010 光谱学与光谱分析 30 3203]
[9]	Lü J G, Liang Z Z, Fu J G, Liang J Q 2011 Spectrosc. Spect. Anal. 31 2865 (in Chinese) [吕金光, 梁中翥, 付建国, 梁静秋 2011 光谱学与光谱分析 31 2865]
[10]	Jian X H, Zhang C M, Zhao B C 2007 Acta Phys. Sin. 56 824 (in Chinese) [简小华, 张淳民, 赵葆常 2007 物理学报 56 824]
[11]	Lü Q B, Yao T, Xiang L B, Huang M 2010 Spectrosc. Spect. Anal. 30 114 (in Chinese) [吕群波, 姚涛, 相里斌, 黄旻 2010 光谱学与光谱分析 30 114]
[12]	Xiang L B, Yuan Y, Lü Q B 2009 Acta Phys. Sin. 58 5399 (in Chinese) [相里斌, 袁艳, 吕群波 2009 物理学报 58 5399]
[13]	Jian X H, Zhang C M, Zhang L, Zhao B C 2010 Opt. Express 18 5674
[14]	Jian X H, Zhang C M, Zhu B H, Ren W Y 2010 Acta Phys. Sin. 59 6131 (in Chinese) [简小华, 张淳民, 祝宝辉, 任文艺 2010 物理学报 59 6131]
[15]	Zhang C M, Jian X H 2010 Opt. Lett. 35 366
[16]	Zhang C M, Huang W J, Zhao B C 2010 Acta Phys. Sin. 59 5479 (in Chinese) [张淳民, 黄伟健, 赵葆常 2010 物理学报 59 5479]
[17]	Wu H Y, Zhang C M, Zhao B C, Li Y C 2009 Acta Phys. Sin. 58 1642 (in Chinese) [吴海英, 张淳民, 赵葆常, 李英才 2009 物理学报 58 1642]
[18]	Zhang C M, Ren W Y, Mu T K 2010 Chin. Phys. B 19 024202
[19]	Wu J F, Zhang C M 2010 Chin. Phys. B 19 034201
[20]	Ruan K, Zhang C M, Zhao B C 2008 Acta Phys. Sin. 57 5435 (in Chinese) [阮锴, 张淳民, 赵葆常 2008 物理学报 57 5435]
[21]	Zhang C M, Ai J J, Ren W Y 2011 Chin. Phys. B 20 020701
[22]	Zhang C M, Zhao J K, Sun Y 2011 Appl. Opt. 50 3497
[23]	Mu T K, Zhang C M, Zhang B C 2009 Acta Phys. Sin. 58 3877 (in Chinese) [穆廷魁, 张淳民, 赵葆常 2009 物理学报 58 3877]

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