Super-Accuracy Calculation for the Half Width of a Voigt Profile

Yihong Wang, Bin Zhou, Rong Zhao, Bubin Wang, Qi Liu and Minglu Dai
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Yihong Wang: School of Energy and Environment, Southeast University, Nanjing 210096, China
Bin Zhou: School of Energy and Environment, Southeast University, Nanjing 210096, China
Rong Zhao: School of Energy and Environment, Southeast University, Nanjing 210096, China
Bubin Wang: School of Energy and Environment, Southeast University, Nanjing 210096, China
Qi Liu: School of Energy and Environment, Southeast University, Nanjing 210096, China
Minglu Dai: School of Energy and Environment, Southeast University, Nanjing 210096, China

Mathematics, 2022, vol. 10, issue 2, 1-14

Abstract: A simple approximation scheme to describe the half 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 an accuracy better than 10 −17 for arbitrary α L / α G ratios. In particular, the accuracy reaches an astonishing 10 − 34 (quadruple precision) in the domain 0 ≤ α L /α G ≤ 0.2371 ∪ α L / α G ≥ 33.8786.

Keywords: Voigt profile; half width; super-accurate calculation (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2022
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