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arXiv · 1905.12851

A single-domain implementation of the Voigt/complex error function by vectorized interpolation

S. M. Abrarov·B. M. Quine·R. Siddiqui·R. K. Jagpal
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Abstract

In this work we show how to perform a rapid computation of the Voigt/complex error over a single domain by vectorized interpolation. This approach enables us to cover the entire set of the parameters $x,y \in \mathbb{R}$ required for the HITRAN-based spectroscopic applications. The computational test reveals that within domains $x\in\left[0,15\right]\cap y\in\left[10^{-8},15\right]$ and $x\in\left[0,50000\right]\cap y\geq 10^{-8}$ our algorithmic implementation is faster in computation by factors of about $8$ and $3$, respectively, as compared to the fastest known C/C++ code for the Voigt/complex error function. A rapid MATLAB code is presented.

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S. M. Abrarov, B. M. Quine, R. Siddiqui, R. K. Jagpal. 2019-05-30. A single-domain implementation of the Voigt/complex error function by vectorized interpolation. https://doi.org/10.5539/esr.v8n2p52

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