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arXiv · 1901.08366

Notes: An assessment of some closed-form expressions for the Voigt function III: Combinations of the Lorentz and Gauss functions

Franz Schreier
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Abstract

A variety of "pseudo-Voigt" functions, i.e. a linear combination of the Lorentz and Gauss function (occasionally augmented with a correction term), have been proposed as a closed-form approximation for the convolution of the Lorentz and Gauss function known as the Voigt function. First, a compact review of several approximations using a consistent notation is presented. The comparison with accurate reference values indicates relative errors as large as some percent.

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Franz Schreier. 2019-01-24. Notes: An assessment of some closed-form expressions for the Voigt function III: Combinations of the Lorentz and Gauss functions. https://doi.org/10.1016/j.jqsrt.2019.01.017

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