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voigt_hwhm(3)



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: 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.




voigt_hwhm(3)

libcerf 2.0 - Generated Sat Apr 17 08:53:47 CDT 2021
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