Analysis of the clear aperture of Savart plates in polarization interference imaging spectrometer

Li Qi-Wei; Zhang Chun-Min; Wei Yu-Tong; Chen Qing-Ying

doi:10.7498/aps.64.224206

Abstract

The principle of beam splitting of interference imaging spectrometer based on Savart plates is presented. The propagation track of light wave in crystal and the exit aperture is analysed by combining wave normal-tracing method with ray-tracing method at random incidence angle and azimuth angle. The relationship among exit aperture, incident angle, incident position and azimuth angle is deduced in detail. The requirements that the propagation track of light remains in Savart plates and would not exit from the top surface, bottom surface and side are discussed in detail. The area and the position of exit aperture are simulated by computer, which proves the correctness of the deduction for normal incidence of light. It is shown that the lateral shear of single Savart plate restricts the boundary of clear aperture, and the area of the clear aperture is only 85.73% against the total incident surface. The parameter of experimental prototype is introduced and the clear aperture is in detail analysed and discussed by the method mentioned above. The results show that the accurate and the approximate values of exit aperture area of experimental prototype are greatly different, and the position of exit aperture are shifted into the lower right, which may reduce the image quality and even cannot generate the double-beam interference fringes in some specific areas. The effective clear aperture as a function of azimuth angle is also presented. It shows that the used clear aperture area is between 0.8005 and 0.8547 while changes from 0 to 2, in order to match the conditions that the value of area availability decreases to 0.6976 when the light always propagates inside the Savart plates. The article shows that the change of clear aperture caused by crystal birefringence phenomenon cannot be ignored when selecting the instrument aperture stop and parameter of interference imaging spectrometer. The clear aperture of the two beams, o-light and e-light, which propagate in Savart plates should be calculated respectively and then they are used to determine the last clear apertures of plates. This study provides a theoretical and practical guidance for study, design, modulation, experiment and engineering of interference imaging spectrometers.

Keywords:

Authors and contacts

1.
Institute of Space Optics, Xi'an Jiaotong University, Xi'an 710049, China;
2.
School of Science, Xi'an Jiaotong University, Xi'an 710049, China

Corresponding author: Zhang Chun-Min, zcm@mail.xjtu.edu.cn

Funds: Project supported by the National High Technology Research and Development Program of China (Grant No. 2012AA121101), the National Natural Science Foundation of China (Grant Nos. 61275184, 41530422), and the National Science and Technology Major Project of the Ministry of Science and Technology of China (Grant No. 32-Y30B08-9001-13/15).

References

[1]	Persky M J 1995 Rev. Sci. Instrum. 66 4763
[2]	Du J, Zhang C M, Zhao B C, Sun Y 2008 Acta Phys. Sin. 57 6311 (in Chinese) [杜娟, 张淳民, 赵葆常, 孙尧 2008 物理学报 57 6311]
[3]	Rafert J B, Sellar R G, Blatt J H 1995 Appl. Opt. 34 7228
[4]	Tang Y H, Qin L, Gao H Y, Zhu C, Wang D Y 2011 Opt. Commun. 284 2672
[5]	Ai J J, Zhang C M, Gao P, Jia C L 2013 Opt. Commun. 298 46
[6]	Smith W H, Hammer P D 1996 Appl. Opt. 35 2902
[7]	Zhang C M, Zhao B C, Xiang L B 2001 Acta Opt. Sin. 21 192 (in Chinese) [张淳民, 赵葆常, 相里斌 2001 光学学报 21 192]
[8]	Wu L, Zhang C M, Yuan Y, Zhao B C 2005 Acta Opt. Sin. 25 885 (in Chinese) [吴磊, 张淳民, 袁艳, 赵葆常 2005 光学学报 25 885]
[9]	Courtial J, Patterson B A, Harvey A R, Sibbett W, Padgett M J 1996 Appl. Opt. 35 6698
[10]	Steers D, Sibbett W, Padgett M J 1998 Appl. Opt. 37 5777
[11]	Montarou C C, Gaylord T K 1999 Appl. Opt. 38 6604
[12]	Mu T K, Zhang C M, Zhao 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]
[13]	Zhang C M, Xiang L B, Zhao B C, Yuan X J 2002 Opt. Commun. 203 21
[14]	He J, Zhang C M 2005 J. Opt. A: Pure Appl. Opt. 7 613
[15]	Zhang C M, Wu H Y, Li J 2011 Opt. Eng. 50 066201
[16]	Ai J J, Zhang C M, Jia C L, Gao P 2013 Optik 124 5751
[17]	Zhang C M, Zhao J K, Sun Y 2011 Appl. Opt. 50 3497
[18]	Ren W Y, Zhang C M, Jia C L, Mu T K, Li Q W, Zhang L 2013 Opt. Lett. 38 1295
[19]	Luo H T, Oka K, DeHoog E, Kudenov M, Schiewgerling J, Dereniak E L 2008 Appl. Opt. 47 4413
[20]	Mu T K, Zhang C M, Jia C M, Ren W Y 2012 Opt. Express 20 18194
[21]	Oka K, Haga Y, Komaki Y 2013 Proc. SPIE 8873 88730R
[22]	Cao Q Z, Zhang C M, DeHoog E 2012 Appl. Opt. 51 2791
[23]	Wu L, Chang C M, Zhao B C 2007 Opt. Commun. 273 67
[24]	Peng Z H, Zhang C M, Zhao B C, Li Y C, Wu F Q 2006 Acta Phys. Sin. 55 6374 (in Chinese) [彭志红, 张淳民, 赵葆常, 李英才, 吴福全 2006 物理学报 55 6374]
[25]	Mu T K, Zhang C M, Li Q W, Zhang Lin, Wei Y T, Chen Q Y 2014 Opt. Express 22 5043
[26]	Zhang C M, Mu T K, Ren W Y, Zhang Lin, Liu N 2010 Opt. Eng. 49 043002
[27]	Wu J F, Zhang C M 2010 Chin. Phys. B 19 034201
[28]	Zhang C M 2010 Study on Interference Imaging Spectroscopy (Beijing: Science Press) p59 (in Chinese) [张淳民 2010 干涉成像光谱技术 (北京:科学出版社) 第59页]
[29]	Shen W M, Shao Z X 2002 Acta Opt. Sin. 22 765 (in Chinese) [沈为民, 邵中兴 2002 光学学报 22 765]

Cited By

[1]	Persky M J 1995 Rev. Sci. Instrum. 66 4763
[2]	Du J, Zhang C M, Zhao B C, Sun Y 2008 Acta Phys. Sin. 57 6311 (in Chinese) [杜娟, 张淳民, 赵葆常, 孙尧 2008 物理学报 57 6311]
[3]	Rafert J B, Sellar R G, Blatt J H 1995 Appl. Opt. 34 7228
[4]	Tang Y H, Qin L, Gao H Y, Zhu C, Wang D Y 2011 Opt. Commun. 284 2672
[5]	Ai J J, Zhang C M, Gao P, Jia C L 2013 Opt. Commun. 298 46
[6]	Smith W H, Hammer P D 1996 Appl. Opt. 35 2902
[7]	Zhang C M, Zhao B C, Xiang L B 2001 Acta Opt. Sin. 21 192 (in Chinese) [张淳民, 赵葆常, 相里斌 2001 光学学报 21 192]
[8]	Wu L, Zhang C M, Yuan Y, Zhao B C 2005 Acta Opt. Sin. 25 885 (in Chinese) [吴磊, 张淳民, 袁艳, 赵葆常 2005 光学学报 25 885]
[9]	Courtial J, Patterson B A, Harvey A R, Sibbett W, Padgett M J 1996 Appl. Opt. 35 6698
[10]	Steers D, Sibbett W, Padgett M J 1998 Appl. Opt. 37 5777
[11]	Montarou C C, Gaylord T K 1999 Appl. Opt. 38 6604
[12]	Mu T K, Zhang C M, Zhao 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]
[13]	Zhang C M, Xiang L B, Zhao B C, Yuan X J 2002 Opt. Commun. 203 21
[14]	He J, Zhang C M 2005 J. Opt. A: Pure Appl. Opt. 7 613
[15]	Zhang C M, Wu H Y, Li J 2011 Opt. Eng. 50 066201
[16]	Ai J J, Zhang C M, Jia C L, Gao P 2013 Optik 124 5751
[17]	Zhang C M, Zhao J K, Sun Y 2011 Appl. Opt. 50 3497
[18]	Ren W Y, Zhang C M, Jia C L, Mu T K, Li Q W, Zhang L 2013 Opt. Lett. 38 1295
[19]	Luo H T, Oka K, DeHoog E, Kudenov M, Schiewgerling J, Dereniak E L 2008 Appl. Opt. 47 4413
[20]	Mu T K, Zhang C M, Jia C M, Ren W Y 2012 Opt. Express 20 18194
[21]	Oka K, Haga Y, Komaki Y 2013 Proc. SPIE 8873 88730R
[22]	Cao Q Z, Zhang C M, DeHoog E 2012 Appl. Opt. 51 2791
[23]	Wu L, Chang C M, Zhao B C 2007 Opt. Commun. 273 67
[24]	Peng Z H, Zhang C M, Zhao B C, Li Y C, Wu F Q 2006 Acta Phys. Sin. 55 6374 (in Chinese) [彭志红, 张淳民, 赵葆常, 李英才, 吴福全 2006 物理学报 55 6374]
[25]	Mu T K, Zhang C M, Li Q W, Zhang Lin, Wei Y T, Chen Q Y 2014 Opt. Express 22 5043
[26]	Zhang C M, Mu T K, Ren W Y, Zhang Lin, Liu N 2010 Opt. Eng. 49 043002
[27]	Wu J F, Zhang C M 2010 Chin. Phys. B 19 034201
[28]	Zhang C M 2010 Study on Interference Imaging Spectroscopy (Beijing: Science Press) p59 (in Chinese) [张淳民 2010 干涉成像光谱技术 (北京:科学出版社) 第59页]
[29]	Shen W M, Shao Z X 2002 Acta Opt. Sin. 22 765 (in Chinese) [沈为民, 邵中兴 2002 光学学报 22 765]

[1]	Xu Ming-Wei, Du Kang, Li Ke, Wang Fei-Xiang, Xiao Ti-Qiao. High sensitivity tracking of free-moving targets in time-varying complex backgrounds. Acta Physica Sinica, 2023, 72(15): 150701. doi: 10.7498/aps.72.20230360
[2]	Wei Yu-Tong, Liu Shang-Kuo, Yan Ting-Yu, Li Qi-Wei. Study on the methods of calibrating spectral line position of interference imaging spectrometer. Acta Physica Sinica, 2016, 65(8): 080601. doi: 10.7498/aps.65.080601
[3]	Mu Ting-Kui, Zhang Chun-Min, Li Qi-Wei, Wei Yu-Tong, Chen Qing-Ying, Jia Chen-Ling. The polarization-difference interference imaging spectrometer-Ⅱ. optical design and analysis. Acta Physica Sinica, 2014, 63(11): 110705. doi: 10.7498/aps.63.110705
[4]	Mu Ting-Kui, Zhang Chun-Min, Li Qi-Wei, Wei Yu-Tong, Chen Qing-Ying, Jia Chen-Ling. The polarization-difference interference imaging spectrometer-I. concept, principle, and operation. Acta Physica Sinica, 2014, 63(11): 110704. doi: 10.7498/aps.63.110704
[5]	Pei Lin-Lin, Lü Qun-Bo, Wang Jian-Wei, Liu Yang-Yang. Optical system design of the coded aperture imaging spectrometer. Acta Physica Sinica, 2014, 63(21): 210702. doi: 10.7498/aps.63.210702
[6]	Mu Ting-Kui, Zhang Chun-Min, Ren Wen-Yi, Zhang Lin, Zhu Bao-Hui. Design and analysis of a polarization interference imaging spectrometer with expanded field of view. Acta Physica Sinica, 2011, 60(7): 070704. doi: 10.7498/aps.60.070704
[7]	Xie Lin-Li, Li Yan-Na, Zhang Chun-Min, Bai Xin, Jing Chun-Yuan, Guan Xiao-Wei, Cao Fen. Calculation and analysis of optical flux throughput of interference imaging spectrometer. Acta Physica Sinica, 2011, 60(7): 070703. doi: 10.7498/aps.60.070703
[8]	Zhang Chun-Min, Liu Ning, Wu Fu-Quan. Analysis and calculation of Glan-Taylor prism’s transmittance at full angle of view in a polarization interference imaging spectrometer. Acta Physica Sinica, 2010, 59(2): 949-957. doi: 10.7498/aps.59.949
[9]	Wang Bo, Liang Zhong-Zhu, Kong Yan-Mei, Liang Jing-Qiu, Fu Jian-Guo, Zheng Ying, Zhu Wan-Bin, Lü Jin-Guang, Wang Wei-Biao, Pei Shu, Zhang Jun. Design and fabrication of micro multi-mirrors based on silicon for micro-spectrometer. Acta Physica Sinica, 2010, 59(2): 907-912. doi: 10.7498/aps.59.907
[10]	Jian Xiao-Hua, Zhang Chun-Min, Zhu Bao-Hui, Ren Wen-Yi. The data processing method of the temporarily and spatially mixed modulated polarization interference imaging spectrometer. Acta Physica Sinica, 2010, 59(9): 6131-6137. doi: 10.7498/aps.59.6131
[11]	Zhang Chun-Min, Huang Wei-Jian, Zhao Bao-Chang. Analysis and evaluation on the noise of novel polarization interference imaging spectrometer. Acta Physica Sinica, 2010, 59(8): 5479-5486. doi: 10.7498/aps.59.5479
[12]	Yan Xin-Ge, Zhang Chun-Min, Zhao Bao-Chang. Research on the mode of obtaining interferograms based on the temporally and spatially mixed modulated polarization interference imaging spectrometer. Acta Physica Sinica, 2010, 59(5): 3123-3129. doi: 10.7498/aps.59.3123
[13]	Mu Ting-Kui, Zhang Chun-Min, Zhao Bao-Chang. Calculation of the optical path difference and fringe location in polarization interference imaging spectrometer. Acta Physica Sinica, 2009, 58(6): 3877-3886. doi: 10.7498/aps.58.3877
[14]	Jian Xiao-Hua, Zhang Chun-Min, Zhang Lin, Zhao Bao-Chang, Zhu Lan-Yan. The optimization theory of detection angle in polarization measurement using polarization interference imaging spectrometer. Acta Physica Sinica, 2009, 58(4): 2286-2293. doi: 10.7498/aps.58.2286
[15]	Wu Hai-Ying, Zhang Chun-Min, Zhao Bao-Chang. Analysis and evaluation of Glan-Taylor prism’s image quality in a new polarization interference imaging spectrometer. Acta Physica Sinica, 2008, 57(6): 3499-3505. doi: 10.7498/aps.57.3499
[16]	Du Juan, Zhang Chun-Min, Zhao Bao-Chang, Sun Yao. Analysis of the transmittance of modified Savart polariscope in the static large field of view polarization interference imaging spectrometer. Acta Physica Sinica, 2008, 57(10): 6311-6318. doi: 10.7498/aps.57.6311
[17]	Jian Xiao-Hua, Zhang Chun-Min, Zhu Bao-Hui, Zhao Bao-Chang, Du Juan. Polarization measurement using polarization interference imaging spectrometer. Acta Physica Sinica, 2008, 57(12): 7565-7570. doi: 10.7498/aps.57.7565
[18]	Hu Xin, Jiang Shao-En, Cui Yan-Li, Huang Yi-Xiang, Ding Yong-Kun, Liu Zhong-Li, Yi Rong-Qing, Li Chao-Guang, Zhang Jing-He, Zhang Hua-Quan. A time-resolved three-channel soft X-ray spectrometer. Acta Physica Sinica, 2007, 56(3): 1447-1451. doi: 10.7498/aps.56.1447
[19]	Yuan Zhi-Lin, Zhang Chun-Min, Zhao Bao-Chang. Study of SNR of a novel polarization interference imaging spectrometer. Acta Physica Sinica, 2007, 56(11): 6413-6419. doi: 10.7498/aps.56.6413
[20]	Peng Zhi-Hong, Zhang Chun-Min, Zhao Bao-Chang, Li Ying-Cai, Wu Fu-Quan. The transmittance of Savart polariscope in polarization interference imaging spectrometer. Acta Physica Sinica, 2006, 55(12): 6374-6381. doi: 10.7498/aps.55.6374

Catalog

Vol. 64, Issue 22 - 2015-11-20

Metrics

Abstract views: 5428
PDF Downloads: 180
Cited By: 0

姓名
邮箱
手机号码
标题
留言内容
验证码

Search

Article

留言板