Functions and Analysis

    

High-Accuracy Approximation of the Voigt Function Based on Fourier Expansion of Exponential Multiplier

Authors: Yihong Wang

A rapidly convergent series, based on Fourier expansion of the exponential multiplier, is presented for highly accurate approximation of the Voigt function (VF). The computational test reveals that with only the first 33 terms Fourier expansion of the exponential multiplier, this approximation provides accuracy better than 5.5383×10−19 in the domain of practical interest 0 < x < 40,000 and 10−4 < y < 102 that is needed for applications using the HITRAN molecular spectroscopic database. Compared with the typical approximation algorithms, the proposed approximation still available even if y is very small and the accuracy in the narrow band domain 0 < x < 40,000 ∩ 10−10 < y < 10−4 remains high and better than 5.5385×10−13.

Comments: 8 pages, 3 figures

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Submission history

[v1] 2022-01-14 00:05:07

Unique-IP document downloads: 244 times

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