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Journal of the Optical Society of America B

Journal of the Optical Society of America B

| OPTICAL PHYSICS

  • Vol. 18, Iss. 5 — May. 1, 2001
  • pp: 666–672

Simple empirical analytical approximation to the Voigt profile

Yuyan Liu, Jieli Lin, Guangming Huang, Yuanqing Guo, and Chuanxi Duan  »View Author Affiliations


JOSA B, Vol. 18, Issue 5, pp. 666-672 (2001)
http://dx.doi.org/10.1364/JOSAB.18.000666


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Abstract

A simple empirical analytical approximation to the Voigt profile is proposed as a weighted sum of Lorentzian and Gaussian functions. It is prevalent in the analysis of complicated experimental spectra such as that with multibroadening mechanisms and congested or overlapped lines. The maximum errors of width, area, and peak relative to those from direct convolution of the Voigt profile are 0.01%, 0.2%, and 0.55%, respectively. The relative width error of the present approximation is smaller and its convergence of absolute strength calculation, i.e. the area under the profile, faster than for the other methods that we considered, such as Gautsch’s algorithm, which is developed by introduction of a complex probability function.

© 2001 Optical Society of America

OCIS Codes
(300.0300) Spectroscopy : Spectroscopy

Citation
Yuyan Liu, Jieli Lin, Guangming Huang, Yuanqing Guo, and Chuanxi Duan, "Simple empirical analytical approximation to the Voigt profile," J. Opt. Soc. Am. B 18, 666-672 (2001)
http://www.opticsinfobase.org/josab/abstract.cfm?URI=josab-18-5-666


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