Fast Computation of Voigt Functions via Fourier Transforms

Details Fast Computation of Voigt Functions via Fourier Transforms Fast Computation of Voigt Functions via Fourier Transforms

2006-07-03

arxiv.org/abs/physics/0607013v2

Physics

Data Analysis, Statistics and Probability

8 pages, 1 figure

Scientific paper

10.1016/j.jqsrt.2006.11.014

This work presents a method of computing Voigt functions and their derivatives, to high accuracy, on a uniform grid. It is based on an adaptation of Fourier-transform based convolution. The relative error of the result decreases as the fourth power of the computational effort. Because of its use of highly vectorizable operations for its core, it can be implemented very efficiently in scripting language environments which provide fast vector libraries. The availability of the derivatives makes it suitable as a function generator for non-linear fitting procedures.

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