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An assessment of some closed-form expressions for the Voigt function: II. Utilizing rational approximations for the Gauss function

Schreier, Franz (2017) An assessment of some closed-form expressions for the Voigt function: II. Utilizing rational approximations for the Gauss function. Journal of Quantitative Spectroscopy and Radiative Transfer, 202, pp. 81-89. Elsevier. DOI: 10.1016/j.jqsrt.2017.05.035 ISSN 0022-4073

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Abstract

Rational approximations for the Gauss function can be used to construct closed-form expressions of the Voigt function K(x,y) in terms of rational functions, logarithms and inverse trigonometric functions. The comparison with accurate reference values indicates a relative accuracy in the percent range for y>1, but serious problems for smaller y. Furthermore, these expressions are not competitive with other algorithms with respect to computational speed. Both accuracy and speed tests indicate that supposedly "good" approximations of the integrand do not necessarily provide good approximations of the integral, i.e. Voigt function.

Item URL in elib:https://elib.dlr.de/112591/
Document Type:Article
Title:An assessment of some closed-form expressions for the Voigt function: II. Utilizing rational approximations for the Gauss function
Authors:
AuthorsInstitution or Email of AuthorsAuthors ORCID iD
Schreier, Franzfranz.schreier (at) dlr.deUNSPECIFIED
Date:June 2017
Journal or Publication Title:Journal of Quantitative Spectroscopy and Radiative Transfer
Refereed publication:Yes
Open Access:Yes
Gold Open Access:No
In SCOPUS:Yes
In ISI Web of Science:Yes
Volume:202
DOI :10.1016/j.jqsrt.2017.05.035
Page Range:pp. 81-89
Editors:
EditorsEmail
Bernath, PeterOld Dominion University, Norfolk, Virginia, USA
Mengüç, M. PinarÖzyeğin University, Istanbul, Turkey
Mishchenko, Michael I.NASA-Goddard Institute for Space Studies, New York, USA
Publisher:Elsevier
ISSN:0022-4073
Status:Published
Keywords:Complex error function; Complex probability function; Plasma dispersion function; Faddeyeva function
HGF - Research field:Aeronautics, Space and Transport
HGF - Program:Space
HGF - Program Themes:Earth Observation
DLR - Research area:Raumfahrt
DLR - Program:R EO - Erdbeobachtung
DLR - Research theme (Project):Vorhaben Spectroscopic Methods in Remote Sensing
Location: Oberpfaffenhofen
Institutes and Institutions:Remote Sensing Technology Institute > Atmospheric Processors
Deposited By: Schreier, Dr.rer.nat. Franz
Deposited On:02 Jun 2017 16:02
Last Modified:06 Sep 2019 15:28

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