# NAME

voigt_hwhm - Half width at half maximum of Voigt's function

# SYNOPSIS

#include <cerf.h>

double voigt_hwhm ( double sigma, double gamma );

# DESCRIPTION

The function voigt_hwhm returns the half width at half maximum of the function voigt.

The function voigt returns Voigt's convolution

    voigt(x,sigma,gamma) = integral G(t,sigma) L(x-t,gamma) dt

of a Gaussian

    G(x,sigma) = 1/sqrt(2*pi)/|sigma| * exp(-x^2/2/sigma^2)

and a Lorentzian

    L(x,gamma) = |gamma| / pi / ( x^2 + gamma^2 ),

with the integral extending from -infinity to +infinity.

# SEE ALSO

voigt(3)

Homepage: https://jugit.fz-juelich.de/mlz/lib/cerf

# REFERENCE

Joachim Wuttke, "Power series for the half width of the Voigt function, rederived", J. Numer. Anal. Approx. Theo. 54, 345-356 (2025), https://doi.org/10.33993/jnaat542-1640.

# AUTHOR

Joachim Wuttke, Forschungszentrum Juelich.

# CONTACT

Please report bugs to the maintainer:

Joachim Wuttke <j.wuttke@fz-juelich.de>

# COPYING

Copyright (c) 2018-25 Forschungszentrum Juelich GmbH

Software: MIT License.

This documentation: Creative Commons Attribution Share Alike.