光谱学与光谱分析 |
|
|
|
|
|
Research on Theory and Application of the Interferogram of Voigt Profile |
HE Jian1,2,ZHANG Chun-min2,ZHANG Qing-guo1 |
1. School of Science, Henan University of Science and Technology, Luoyang 471003, China 2. School of Science, Xi’an Jiaotong University, Xi’an 710049, China |
|
|
Abstract At normal pressure, Voigt profile (the convolution of Gaussian profile and Lorentzian profile) is the closest to actual profile, but it has no accurate expression, so in actual application many approximations are used to express Voigt profile. In the present paper, without any approximation, the authors calculate the interferogram of Voigt profile, showing that Voigt profile has no expression, but its interferogram can be calculated strictly. The transform has only one term, which is very similar to the expressions of Gaussian profile and Lorentzian profile, so any calculations of the widened profile can be finished, which doesn’t have two terms as some papers predict, and difficulties will be brought. The calculation results are consistent with the experimental results. As an example in actual application, its application in atmospheric wind measurement is pointed out. This calculation has important significance in Fourier transform spectrometer of gas widened profile.
|
Received: 2006-01-16
Accepted: 2006-05-26
|
|
Corresponding Authors:
HE Jian
E-mail: hejian405@163.com
|
|
Cite this article: |
HE Jian,ZHANG Chun-min,ZHANG Qing-guo. Research on Theory and Application of the Interferogram of Voigt Profile[J]. SPECTROSCOPY AND SPECTRAL ANALYSIS, 2007, 27(03): 423-426.
|
|
|
|
URL: |
https://www.gpxygpfx.com/EN/Y2007/V27/I03/423 |
[1] MA Wei-guang, YIN Wang-bao, HUANG Tao,et al(马维光,尹王保,黄 涛,等). Spectroscopy and Spectral Analysis(光谱学与光谱分析), 2004, 24(2): 135. [2] Wells R J. J. Quant Spectrose. Radiat. Transfer., 1999, 62: 29. [3] Shippony Z, Read W G. J. Quant. Spectrosc. Radiat. Transfer.,1993, 50: 635. [4] Shepherd G G. Appl. Opt., 1996, 35(16): 2764. [5] He Jian, Zhang Chunmin. J. Opt. A: Pure and Appl. Opt.,2005, 7: 613. [6] HE Jian, ZHANG Chun-min, TANG Yuan-he,et al(贺 健,张淳民,唐远河,等). Acta Opt. Sin.(光学学报),2005, 25(5): 577. [7] HU Yao-gai, ZENG Fan-qing, LI Wei, et al(胡耀垓,曾繁清,李 伟,等). Spectroscopy and Spectral Analysis(光谱学与光谱分析),2005,25(6):808.
|
[1] |
WANG Xin-qiang1, 3, HU Feng1, 3, XIONG Wei2, YE Song1, 3, LI Shu1, 3, GAN Yong-ying1, 3, YIN Shan1, 3, WANG Fang-yuan1, 3*. Research on Raman Signal Processing Method Based on Spatial Heterodyne[J]. SPECTROSCOPY AND SPECTRAL ANALYSIS, 2022, 42(01): 93-98. |
[2] |
GAO Jian-hua1,2, LIANG Jing-qiu1, Lü Jin-guang1*, LIANG Zhong-zhu1, QIN Yu-xin1, WANG Wei-biao1. A Stepped Mirror Based Temporally and Spatially Modulated Imaging Fourier Transform Spectrometer: Principle and Data Processing[J]. SPECTROSCOPY AND SPECTRAL ANALYSIS, 2017, 37(12): 3932-3939. |
[3] |
WANG Xin-qiang1,3, ZHANG Li-juan1,3, XIONG Wei2, ZHANG Wen-tao1,3, YE Song1,3, WANG Jie-jun1,3*. Study on Inhomogeneous Correction of Interference Pattern of Spatial Heterodyne Spectrometer[J]. SPECTROSCOPY AND SPECTRAL ANALYSIS, 2017, 37(04): 1274-1278. |
[4] |
SHEN Jing1, 2, 3, XIONG Wei1, 2, 3*, SHI Hai-liang1, 3, LI Zhi-wei1, 3, HU Guang-xiao1, 3, QIAO Yan-li1, 3 . Data Processing Method of Asymmetric Spatial Heterodyne Interferogram for Wind Measurement [J]. SPECTROSCOPY AND SPECTRAL ANALYSIS, 2016, 36(09): 3014-3019. |
[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] |
WANG Xin-qiang1, YE Song1*, ZHANG Li-juan1 , XIONG Wei2 . Study on Phase Correction Method of Spatial Heterodyne Spectrometer [J]. SPECTROSCOPY AND SPECTRAL ANALYSIS, 2013, 33(05): 1424-1428. |
[7] |
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. |
[8] |
YE Song1,3,XIONG Wei2,QIAO Yan-li2,HONG Jin2,FANG Yong-hua2 . Data Processing for Interferogram of Spatial Heterodyne Spectrometer[J]. SPECTROSCOPY AND SPECTRAL ANALYSIS, 2009, 29(03): 848-852. |
[9] |
LI Bao-sheng1,LIU Yong2,WANG An2 . Processing of Interferogram Symmetrization in Optical Fiber Fourier Spectrometer[J]. SPECTROSCOPY AND SPECTRAL ANALYSIS, 2007, 27(06): 1077-1080. |
|
|
|
|