1builddir::build::BUILDb:u:illidbdcierr:f:-bvlu1ii.bl1cd3e::r::fBmUamInaL:nD:u:va:olliigbtc_ehrwfh-mv(13.)13::man::voigt_hwhm(3)
2
3
4
6 voigt_hwhm - Half width at half maximum of Voigt's function
7
9 #include <cerf.h>
10
11 double voigt_hwhm ( double sigma, double gamma );
12
14 The function voigt_hwhm returns the half width at half maximum of the
15 function voigt.
16
17 The function voigt returns Voigt's convolution
18
19 voigt(x,sigma,gamma) = integral G(t,sigma) L(x-t,gamma) dt
20
21 of a Gaussian
22
23 G(x,sigma) = 1/sqrt(2*pi)/|sigma| * exp(-x^2/2/sigma^2)
24
25 and a Lorentzian
26
27 L(x,gamma) = |gamma| / pi / ( x^2 + gamma^2 ),
28
29 with the integral extending from -infinity to +infinity.
30
32 voigt(3)
33
34 Homepage: http://apps.jcns.fz-juelich.de/libcerf
35
37 Joachim Wuttke <j.wuttke@fz-juelich.de>, Forschungszentrum Juelich,
38 based on the w_of_z implementation by Steven G. Johnson,
39 http://math.mit.edu/~stevenj, Massachusetts Institute of Technology.
40
41 Please report bugs to the authors.
42
44 Copyright (c) 2018 Forschungszentrum Juelich GmbH
45
46 Software: MIT License.
47
48 This documentation: Creative Commons Attribution Share Alike.
49
50
51
52perl v5.30.0 builddir::bui2l0d1:9:-B0U7I-L2D5::libcerf-v1.13::man::voigt_hwhm(3)