Evaluation of the Voigt function to arbitrary precision

Accurate and rapid Voigt function evaluations are an essential component of synthetic stellar spectrum calculations and the development of improved algorithms continues to be a priority. Multiprecision arithmetic was applied to obtain Voigt functions evaluated to 56 digits, which could be extended t...

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Bibliographic Details
Published in:Monthly notices of the Royal Astronomical Society 2014-11, Vol.444 (3), p.2555-2560
Main Authors: Boyer, W., Lynas-Gray, A. E.
Format: Article
Language:English
Subjects:
Accuracy
Algorithms
Star & galaxy formation
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Summary:Accurate and rapid Voigt function evaluations are an essential component of synthetic stellar spectrum calculations and the development of improved algorithms continues to be a priority. Multiprecision arithmetic was applied to obtain Voigt functions evaluated to 56 digits, which could be extended to arbitrarily high precision if required. While the technique cannot be used in practical applications, it provides results against which fast routines may be benchmarked for accuracy.
ISSN:0035-8711
1365-2966
DOI:10.1093/mnras/stu1606