| 光谱学与光谱分析 |
|
|
|
|
|
| Theory and Correction of Interference Fringe in Static Fourier Transform Spectrometer |
| LIN Ling,REN Zhao,LI Gang* |
| State Key Laboratory of Precision Measurement Technology and Instruments, Tianjin University, Tianjin 300072, China |
|
|
|
|
Abstract According to the requirement of spectrometer design, including high-speed, simplified structure, convenient fabrication and real-time measurement, a static Fourier transform spectrometer(SFTS) was introduced and its theory was derived and analyzed. In order to solve the correction problem of tilting interference fringe in the adjustment process of SFTS, mathematical derivation of the model of interference fring was systematically summarized. Meanwhile, the mathematical relationship between the rotation parameter of tilting mirror and the minimum clear aperture and that between the rotation parameter of tilting mirror and the rotation parameter of interference fringe were obtained by mathematical derivation. Besides, by using Matlab, the model of interference fringe was simulated, and the correction formula for monochromatic light was proofed. The simulation results show that the precision of tilting angle correction is 1.4%, suggesting that it is a feasible and effective correction method.
|
|
Received: 2007-05-09
Accepted: 2007-08-08
|
|
|
|
Corresponding Authors:
LI Gang
E-mail: ligang59@tju.edu.cn
|
|
[1] LI Gang, LI Xiao-xia, LIN Ling et al（李 刚，李晓霞，林 凌，等）. Spectroscopy and Spectral Analysis（光谱学与光谱分析），2006，26(5): 263
[2] Manzardo O. Micro-Sized Fourier Spectrometers. Switzerland: Univ. Neuchatel, 2002
[3] Gao Zhan. Applied Optics, 2002, 41(3): 560.
[4] SHEN Wei-min, SHI Shan-jin(沈为民，时善进). Semiconductor Optoelectronics（半导体光电），2001，22(6): 408.
[5] Boer G, Charf T S. Applied Optics, 2002, 41(7): 837.
[6] Komisarek D, Reichard K. Applied Optics, 2004, 43(20): 2239.
[7] Boer G, Ruffieuk P. Applied Optics, 2004, 43(1): 75.
[8] SUN De-xin, YANG Cun-wu(孙德新，杨存武). Infrared(红外)，2001，(1): 9.
[9] YIN Bang-sheng, ZENG Li-bo, et al(尹邦胜，曾立波，等). Optical Instruments(光学仪器)，2006，28(1): 75.
[10] SHEN Xue-chu(沈学础). Progress in Physics(物理学进展)，1982，2(3): 288.
[11] FAN Shi-fu, LI Yan-ning, et al(范世福，李艳宁，等). Analytical Instrumantation(分析仪器)，1995，(2): 51. |
| [1] |
ZHU Xiao-ming1, 2, 3, BAI Xian-yong1, 2, 3*, LIN Jia-ben1, 2, DUAN Wei1, 2, ZHANG Zhi-yong1, 2, FENG Zhi-wei1, 2, DENG Yuan-yong1, 2, YANG Xiao1, 2, HUANG Wei1, 2, 3, HU Xing1, 2, 3. Design and Realization of High-Speed Acquisition System for Two Dimensional Fourier Transform Solar Spectrometer[J]. SPECTROSCOPY AND SPECTRAL ANALYSIS, 2022, 42(12): 3842-3850. |
| [2] |
WANG Yue1, 3, 4, CHEN Nan1, 2, 3, 4, WANG Bo-yu1, 5, LIU Tao1, 3, 4*, XIA Yang1, 2, 3, 4*. Fourier Transform Near-Infrared Spectral System Based on Laser-Driven Plasma Light Source[J]. SPECTROSCOPY AND SPECTRAL ANALYSIS, 2022, 42(06): 1666-1673. |
| [3] |
CHEN Fang, GAO Chao, BAI Jie. Thickness Matching Design Between Splitter and Compensatorfor High Spectral Resolution Fourier Transform Spectrometer[J]. SPECTROSCOPY AND SPECTRAL ANALYSIS, 2020, 40(12): 3941-3945. |
| [4] |
ZHAO Bao-wei1, XIANGLI Bin1, 2, CAI Qi-sheng3, Lü Qun-bo2*, ZHOU Jin-song2 . Fourier Transform Spectrometer Based on Rotating Parallel-Mirror-Pair [J]. SPECTROSCOPY AND SPECTRAL ANALYSIS, 2015, 35(11): 3209-3213. |
| [5] |
ZHANG Min-juan3, WANG Zhi-bin1, 2, 3, LI Xiao3, LI Jin-hua3, WANG Yan-chao3 . The Stability and Measuring Technology of the Maximum Optical Path Difference of Photo-Elastic Modulator Interferograms [J]. SPECTROSCOPY AND SPECTRAL ANALYSIS, 2015, 35(05): 1436-1439. |
| [6] |
ZHANG Min-juan3, WANG Zhao-ba1, 2, WANG Zhi-bin3, LI Xiao3, LI Shi-wei3, LI Jin-hua3 . The Technology of Fast Spectral Reconstruction in the Longer Optical Path Difference PEM-FTS [J]. SPECTROSCOPY AND SPECTRAL ANALYSIS, 2014, 34(07): 2010-2014. |
| [7] |
CHEN You-hua1, WANG Zhao-ba1，2, WANG Zhi-bin1，2, WANG Yan-chao1, LI Yong-shuai1, ZHANG Yu-han1 . The Study of Photo-Elastic Modulator-Based Fourier Transform Spectroscopy[J]. SPECTROSCOPY AND SPECTRAL ANALYSIS, 2014, 34(06): 1502-1505. |
| [8] |
Lü Jin-guang1, 2, LIANG Jing-qiu1*, LIANG Zhong-zhu1, QIN Yu-xin1, TIAN Chao1, 2 . Study on Transmission Efficiency of Interference System in Spatially Modulated Fourier Transform Spectrometer [J]. SPECTROSCOPY AND SPECTRAL ANALYSIS, 2013, 33(03): 850-854. |
| [9] |
Lü Jin-guang1, 2, LIANG Jing-qiu1*, LIANG Zhong-zhu1 . Study on Spectrum Inversion of Spatially Modulated Fourier Transform Spectrometer [J]. SPECTROSCOPY AND SPECTRAL ANALYSIS, 2012, 32(06): 1694-1699. |
| [10] |
Lü Jin-guang1,2, LIANG Jing-qiu1*, LIANG Zhong-zhu1, FU Jian-guo1,2. Study on Uniformity of Optical Field in Static Fourier Transform Spectrometer[J]. SPECTROSCOPY AND SPECTRAL ANALYSIS, 2012, 32(01): 259-263. |
| [11] |
Lü Jin-guang1,2, LIANG Zhong-zhu1, FU Jian-guo1,2, LIANG Jing-qiu1* . Analysis of Collimation Error in Fourier Transform Infrared Spectrometer Based on Step Mirrors[J]. SPECTROSCOPY AND SPECTRAL ANALYSIS, 2011, 31(10): 2865-2869. |
| [12] |
FU Jian-guo1, 2, LIANG Zhong-zhu1, LIANG Jing-qiu1* . Analysis of Diffraction in Fourier-Transform Infrared Spectrometer Based on Step Mirrors [J]. SPECTROSCOPY AND SPECTRAL ANALYSIS, 2010, 30(12): 3203-3207. |
| [13] |
LIU Yue, ZHAO Yong-chao, GENG Xiu-rui, TANG Hai-rong, DING Chi-biao. Analysis of the Phase Error Non-Linearity of FTS and Discussion about Mertz Method[J]. SPECTROSCOPY AND SPECTRAL ANALYSIS, 2009, 29(07): 1809-1812. |
| [14] |
WANG An, ZHU Ling*, ZHANG Long, LIU Yong, ZHU Zhen, LI Zhi-gang, WU Jian-dong, FAN Yan-ping . Research on Key Technologies of All Fiber Optic Fourier Transform Spectrometer[J]. SPECTROSCOPY AND SPECTRAL ANALYSIS, 2009, 29(07): 1777-1780. |
| [15] |
KONG Yan-mei1,2,LIANG Jing-qiu1*,WANG Bo1,2,LIANG Zhong-zhu1,XU Da-wei1,2,ZHANG Jun3 . The Investigation and Simulation of a Novel Spatially Modulated Micro-Fourier Transform Spectrometer[J]. SPECTROSCOPY AND SPECTRAL ANALYSIS, 2009, 29(04): 1142-1146. |
|
|
|
|
