The Voigt/complex error function (second version)

Version 2.0.0.0 (4.55 KB) by Sanjar Abrarov
The function file fadf.m computes the Voigt/complex error function with high accuracy
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Updated 10 Jul 2016

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This program file computes the complex error function, also known as the Faddeeva function. The algorithmic implementation utilizes the approximations based on the Fourier expansion [1, 2] and the Laplace continued fraction [3] (see also optimized C++ code from RooFit package in the work [4]).

REFERENCES
[1] S. M. Abrarov and B. M. Quine, Appl. Math. Comput., 218 (2011) 1894-1902.
http://doi.org/10.1016/j.amc.2011.06.072
[2] S. M. Abrarov and B. M. Quine, arXiv:1205.1768v1 (2012).
http://arxiv.org/abs/1205.1768
[3] W. Gautschi, SIAM J. Numer. Anal., 7 (1970) 187-198.
http://www.jstor.org/stable/2949591
[4] T. M. Karbach, G. Raven and M. Schiller, arXiv:1407.0748v1 (2014).
http://arxiv.org/abs/1407.0748

Cite As

Sanjar Abrarov (2024). The Voigt/complex error function (second version) (https://www.mathworks.com/matlabcentral/fileexchange/47801-the-voigt-complex-error-function-second-version), MATLAB Central File Exchange. Retrieved .

MATLAB Release Compatibility
Created with R2009b
Compatible with any release
Platform Compatibility
Windows macOS Linux

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Version Published Release Notes
2.0.0.0

Minor corrections in comment lines are made..
The second version of the function file 'fadf.m' provides improvement in accuracy at small imaginary argument.
1.1.0.0

Added screenshot showing the real (blue)and imaginary (red) parts of the Faddeeva function. The real part is known as the Voigt function.
1.0.0.0