Super-accuracy calculation for the width of a Voigt profile
Yihong Wang, Bin Zhou, Rong Zhao, Bubin Wang
TL;DR
This paper introduces a highly accurate approximation method for calculating the width of the Voigt profile based on Gaussian and Lorentzian contributions, achieving unprecedented precision.
Contribution
The paper presents a simple, highly precise approximation scheme for the Voigt profile width, surpassing previous accuracy levels across all aLaG ratios.
Findings
Accuracy better than 10^-17 for arbitrary aLaG ratios
Achieves accuracy of 10^-34 in specific domains
Provides a practical tool for precise spectral line analysis
Abstract
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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Taxonomy
TopicsAdvancements in Photolithography Techniques · Optical Coatings and Gratings · Surface Roughness and Optical Measurements