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.
贺健1,2,张淳民2,张庆国1. 佛克脱光谱线型干涉图的理论及其应用研究[J]. 光谱学与光谱分析, 2007, 27(03): 423-426.
HE Jian1,2,ZHANG Chun-min2,ZHANG Qing-guo1. Research on Theory and Application of the Interferogram of Voigt Profile. SPECTROSCOPY AND SPECTRAL ANALYSIS, 2007, 27(03): 423-426.
[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.
