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Computational Aspects of Speed-Dependent Voigt and Rautian Profiles

Schreier, Franz and Hochstaffl, Philipp (2021) Computational Aspects of Speed-Dependent Voigt and Rautian Profiles. Journal of Quantitative Spectroscopy and Radiative Transfer, 258 (107385), pp. 1-12. Elsevier. doi: 10.1016/j.jqsrt.2020.107385. ISSN 0022-4073.

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Official URL: https://www.sciencedirect.com/science/article/abs/pii/S0022407320307391


For accurate line-by-line modeling of molecular cross sections several physical processes "beyond Voigt" have to be considered. For the speed-dependent Voigt and Rautian profiles (SDV, SDR) and the Hartmann-Tran profile the difference of two complex error functions (essentially Voigt functions) has to be evaluated where the function arguments z± are given by the sum and difference of two square roots. These two terms describing z± can be huge and the default implementation of the difference can lead to large cancellation errors. First we demonstrate that these problems can be avoided by a simple reformulation of z-. Furthermore we show that a single rational approximation of the complex error function valid in the whole complex plane (e.g. by Humlicek, 1979 or Weideman, 1994) allows an evaluation of the SDV and SDR with four significant digits or better. Our benchmarks indicate that the SDV and SDR function evaluations are about a factor 2.2 slower compared to the Voigt function, but for evaluation of molecular cross sections this time lag does not significantly prolong the overall program execution because speed-dependent parameters are available only for a fraction of strong lines.

Item URL in elib:https://elib.dlr.de/137988/
Document Type:Article
Title:Computational Aspects of Speed-Dependent Voigt and Rautian Profiles
AuthorsInstitution or Email of AuthorsAuthor's ORCID iD
Schreier, Franzfranz.schreier (at) dlr.dehttps://orcid.org/0000-0001-7196-6599
Hochstaffl, PhilippPhilipp.Hochstaffl (at) dlr.dehttps://orcid.org/0000-0001-9537-3050
Date:January 2021
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.2020.107385
Page Range:pp. 1-12
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 profile, Hartmann-Tran profile, 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):Vorhaben Spectroscopic Methods in Remote Sensing (old)
Location: Oberpfaffenhofen
Institutes and Institutions:Remote Sensing Technology Institute > Atmospheric Processors
Deposited By: Schreier, Dr.rer.nat. Franz
Deposited On:24 Nov 2020 17:01
Last Modified:24 May 2022 23:46

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