Highly accurate width of the Voigt profile

Version 2.0.1 (219 KB) by Yihong Wang
The code returns the highly accurate full width at half maximum (FWHM) of the Voigt profile.
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Updated 26 Dec 2021

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code1:
"fullwidthVoigt.m" returns the highly accurate full width at half maximum (FWHM) of the Voigt profile for given the widths of the Lorentzian and Gaussian profile.
code2:
"fullwidthVoigt_approximation.m"---This code provides accuracy better than 1E−17 for arbitrary αL/αG ratios in the MATLAB symbolic computing platform. In particular, the accuracy reaches an astonishing 10−34 (quadruple pre-cision) in the domain 0 ≤ αL/αG ≤ 0.2371∪αL/αG ≥ 33.8786.
code3:
"fullwidthVoigt_approximation_double.m"---This code provides a calculation accuracy of 2.75011668361264E-14 in a double precision platform.
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Yihong Wang(email:wyh@seu.edu.cn)
Southeast University, Nanjing, China
Christmas Day 2021.
Feel free to email the author of this program with your questions or suggestions.
output : alphV, the FWHM of the Voigt profile
input : alphL, the FWHM of the Lorentzian profile
input : alphG, the FWHM of the Gaussian profile

Cite As

Yihong Wang (2024). Highly accurate width of the Voigt profile (https://www.mathworks.com/matlabcentral/fileexchange/95283-highly-accurate-width-of-the-voigt-profile), MATLAB Central File Exchange. Retrieved .

MATLAB Release Compatibility
Created with R2014a
Compatible with any release
Platform Compatibility
Windows macOS Linux

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code1

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Version Published Release Notes
2.0.1

Add a cover
2.0.0

Added 2 codes and cleared up some conceptual confusion.
1.0.0