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Super-accuracy calculation for the width of a Voigt profile

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posted on 2023-01-12, 14:34 authored by Yihong Wang, Bin Zhou, Rong Zhao, Bubin Wang
A simple approximation scheme to describe the width of the Voigt profile as a function of the relative contributions of Gaussian and Lorentzian broadening is presented. The proposed approximation scheme is highly accurate and provides accuracy better than 10^-17 for arbitrary aLaG ratios. In particular, the accuracy reaches an astonishing 10^-34 (quadruple precision) in the domain aLaG less than 0.2371 and aLaG greater than 33.8786.

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