Highly accurate width of the Voigt profile

The code returns the highly accurate full width at half maximum (FWHM) of the Voigt profile.

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:[e-mail])

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