The Voigt/complex error function (second version)

The function file fadf.m computes the Voigt/complex error function with high accuracy
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更新 2016/7/10


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]).

[1] S. M. Abrarov and B. M. Quine, Appl. Math. Comput., 218 (2011) 1894-1902.
[2] S. M. Abrarov and B. M. Quine, arXiv:1205.1768v1 (2012).
[3] W. Gautschi, SIAM J. Numer. Anal., 7 (1970) 187-198.
[4] T. M. Karbach, G. Raven and M. Schiller, arXiv:1407.0748v1 (2014).


Sanjar Abrarov (2024). The Voigt/complex error function (second version) (, MATLAB Central File Exchange. 取得済み .

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

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