光谱学与光谱分析 |
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Simulated Annealing Based Phase Correction of Interferogram in Fourier Transform Imaging Spectrometer |
HUANG Feng-zhen1, YUAN Yan1, ZHANG Xiu-bao1, WANG Qian1, ZHOU Zhi-liang2 |
1. Key Laboratory of Precision Opto-Mechatronics Technology, Ministry of Education, Beihang University, Beijing 100191, China 2. University of Science and Technology of China, Hefei 230026, China |
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Abstract Phase correction is one of the key technologies in the spectrum recovery of the Fourier transform imaging spectrometer. The present paper proposes a correction method based on simulated annealing algorithm to calculate phase error, which overcomes the disadvantage of the existing methods that can not correct the interferogram with noise. The method determines the phase optimum solution by controlling the phase decrease function, attaining objective function value by correcting interferogram data with random phase value generated in the phase range, and determining the objective function increment in accordance with the Metropolis criterion. The simulation result of the algorithm indicates that the optimized phase error is less than 0.5%, and both the error accuracy and stability of the spectrum-recovered relative spectrum is less than 1%, which is a great improvement compared with the existing algorithm.
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Received: 2010-11-13
Accepted: 2011-02-10
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Corresponding Authors:
HUANG Feng-zhen
E-mail: huangfengzhen1019@163.com
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[1] Schaepman M E, Itten K I, et al. Proc. SPIE,2004,5234:202. [2] Bames W L, Xiong X X, Salomonson V V. Proc. SPIE,2004,5542:14. [3] XIANGLI Bin, YUAN Yan, Lü Qun-bo(相里斌, 袁 艳, 吕群波). Acta Physica Sinica(物理学报), 2009, 58(8): 5399. [4] Connes J, Rev. Opt., 1961, 40: 45. [5] Forman,R M L,et al. J. Opt. Soc. Am., 1966, 56: 59. [6] Boucher C R,Nayler D A. Infrared Phys., 1981, 21: 261. [7] Bell R J. Introductory Fourier Transfornl Spectroscopy. New York: Academic Press, 1972. [8] Mertz L. Infrared Phys., 1967, 7: 17. [9] XING Ting, WANG Mo-chang, et al(邢 廷, 王模昌, 等). Acta Optica Sinica(光学学报), 1999, 19(3): 355. [10] SUN Ya-min, YIN De-kui(孙雅敏, 殷德奎). Signal Processing(信号处理), 2008, 24(6): 1048. [11] LIU Yong, WU Jian-dong, ZHU Ling, et al(刘 勇, 巫建东, 朱 灵,等). Acta Optica Sinica(光学学报), 2009, 29(6): 1697. [12] Lü Qun-bo, YAO Tao, XIANGLI Bin, et al(吕群波, 姚 涛, 相里斌, 等). Spectroscopy and Spectral Analysis(光谱学与光谱分析), 2010, 30(1): 114. [13] WANG Ding-wei, WANG Jun-wei, WANG Hong-feng, et al(汪定伟, 王俊伟, 王洪峰,等). Intelligent Optimization Methods(智能优化方法). Beijing: Higher Education Press(北京: 高等教育出版社), 2007. 145. [14] ZHANG Li, CAI Lian-bo, LI Meng, et al. Computer Communications,2009, 32(1): 105. [15] LI Nan, CHA Jian-zhong, LU Yi-ping. Applied Soft Computing,2010, 10(2): 592. [16] YI Jun, SHI Wei-ren, et al(易 军, 石为人,等). Acta Electronica Sinica(电子学报), 2010, 38(6): 1239. |
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