voigt_hwhm - Man Page

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: http://apps.jcns.fz-juelich.de/libcerf

Authors

Joachim Wuttke <j.wuttke@fz-juelich.de>, Forschungszentrum Juelich,
 based on the w_of_z implementation by Steven G. Johnson, http://math.mit.edu/~stevenj, Massachusetts Institute of Technology.

Please report bugs to the authors.

Copying

Copyright (c) 2018 Forschungszentrum Juelich GmbH

Software: MIT License.

This documentation: Creative Commons Attribution Share Alike.

Referenced By

voigt(3).

2020-01-29 perl v5.30.1 libcerf manual