dorsal/arxiv
View SchemaFast Computation of Voigt Functions via Fourier Transforms
| Authors | Marcus H. Mendenhall |
|---|---|
| Categories | |
| ArXiv ID | physics/0607013 |
| URL | https://arxiv.org/abs/physics/0607013 |
| DOI | 10.1016/j.jqsrt.2006.11.014 |
Abstract
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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"abstract": "This work presents a method of computing Voigt functions and their\nderivatives, to high accuracy, on a uniform grid. It is based on an adaptation\nof Fourier-transform based convolution. The relative error of the result\ndecreases as the fourth power of the computational effort. Because of its use\nof highly vectorizable operations for its core, it can be implemented very\nefficiently in scripting language environments which provide fast vector\nlibraries. The availability of the derivatives makes it suitable as a function\ngenerator for non-linear fitting procedures.",
"arxiv_id": "physics/0607013",
"authors": [
"Marcus H. Mendenhall"
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"doi": "10.1016/j.jqsrt.2006.11.014",
"title": "Fast Computation of Voigt Functions via Fourier Transforms",
"url": "https://arxiv.org/abs/physics/0607013"
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