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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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 (2026). The Voigt/complex error function (second version) (https://ch.mathworks.com/matlabcentral/fileexchange/47801-the-voigt-complex-error-function-second-version), MATLAB Central File Exchange. Retrieved .
Acknowledgements
Inspired: zetaf(z), Spectral Curvefitting of Dielectric Constants, voigt line shape fit, WITio
General Information
- Version 2.0.0.0 (4.55 KB)
MATLAB Release Compatibility
- Compatible with any release
Platform Compatibility
- Windows
- macOS
- Linux
| Version | Published | Release Notes | Action |
|---|---|---|---|
| 2.0.0.0 | Minor corrections in comment lines are made..
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| 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. |
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| 1.0.0.0 |
