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Computational Aspects of Speed-Dependent Voigt Profiles

Schreier, Franz (2017) Computational Aspects of Speed-Dependent Voigt Profiles. Journal of Quantitative Spectroscopy and Radiative Transfer, 187, pp. 44-53. Elsevier. doi: 10.1016/j.jqsrt.2016.08.009. ISSN 0022-4073.

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Official URL: http://www.sciencedirect.com/science/article/pii/S002240731630437X


The increasing quality of atmospheric spectroscopy observations has indicated the limitations of the Voigt profile routinely used for line-by-line modeling, and physical processes beyond pressure and Doppler broadening have to be considered. The speed-dependent Voigt (SDV) profile can be readily computed as the difference of the real part of two complex error functions (i.e. Voigt functions). Using a highly accurate code as a reference, various implementations of the SDV function based on Humlíček's rational approximations are examined for typical speed dependences of pressure broadening and the range of wavenumber distances and Lorentz to Doppler width ratios encountered in infrared applications. Neither of these implementations appears to be optimal, and a new algorithm based on a combination of the Humlíček (1982) and Weideman (1994) rational approximations is suggested.

Item URL in elib:https://elib.dlr.de/106199/
Document Type:Article
Title:Computational Aspects of Speed-Dependent Voigt Profiles
AuthorsInstitution or Email of AuthorsAuthor's ORCID iD
Schreier, Franzfranz.schreier (at) dlr.dehttps://orcid.org/0000-0001-7196-6599
Date:January 2017
Journal or Publication Title:Journal of Quantitative Spectroscopy and Radiative Transfer
Refereed publication:Yes
Open Access:Yes
Gold Open Access:No
In ISI Web of Science:Yes
DOI :10.1016/j.jqsrt.2016.08.009
Page Range:pp. 44-53
EditorsEmailEditor's ORCID iD
Bernath, PeterOld Dominion University, Norfolk, Virginia, USAUNSPECIFIED
Mengüç, M. PinarÖzyeğin University, Istanbul, TurkeyUNSPECIFIED
Mishchenko, Michael I.NASA-Goddard Institute for Space Studies, New York, USAUNSPECIFIED
Keywords:Complex error function; Voigt function; Hartmann-Tran Lineshape; Humlicek-Weideman rational approximations
HGF - Research field:Aeronautics, Space and Transport
HGF - Program:Space
HGF - Program Themes:Earth Observation
DLR - Research area:Raumfahrt
DLR - Program:R EO - Earth Observation
DLR - Research theme (Project):R - Vorhaben Spektrometrische Verfahren und Konzepte der Fernerkundung (old)
Location: Oberpfaffenhofen
Institutes and Institutions:Remote Sensing Technology Institute > Atmospheric Processors
Deposited By: Schreier, Dr.rer.nat. Franz
Deposited On:23 Sep 2016 15:20
Last Modified:06 Sep 2019 15:28

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