Journalartikel

Analytical expression for the convolution of a Fano line profile with a gaussian


AutorenlisteSchippers, S

Jahr der Veröffentlichung2018

Seiten33-36

ZeitschriftJournal of Quantitative Spectroscopy and Radiative Transfer

Bandnummer219

ISSN0022-4073

eISSN1879-1352

Open Access StatusGreen

DOI Linkhttps://doi.org/10.1016/j.jqsrt.2018.08.003

VerlagElsevier


Abstract

Asymmetric Fano line profiles are frequently encountered, e. g., in the photoionization spectra of atoms and ions. For the fitting of spectral line profiles to experimental spectra the line profiles have to be convolved with the experimental window function. The latter is often taken to be a gaussian. It is shown that the convolution can be represented by a rather simple analytic expression involving the Faddeeva function for the evaluation of which efficient and accurate numerical algorithms are available. (C) 2018 Elsevier Ltd. All rights reserved.




Zitierstile

Harvard-ZitierstilSchippers, S. (2018) Analytical expression for the convolution of a Fano line profile with a gaussian, Journal of Quantitative Spectroscopy and Radiative Transfer, 219, pp. 33-36. https://doi.org/10.1016/j.jqsrt.2018.08.003

APA-ZitierstilSchippers, S. (2018). Analytical expression for the convolution of a Fano line profile with a gaussian. Journal of Quantitative Spectroscopy and Radiative Transfer. 219, 33-36. https://doi.org/10.1016/j.jqsrt.2018.08.003



Schlagwörter


ACCURATE CALCULATIONCOMPLEX ERROR FUNCTIONConvolutionDOUBLY-EXCITED HELIUMEFFICIENT COMPUTATIONENERGY RESOLUTIONFano profileLine shapesOPTIMIZED IMPLEMENTATIONSPHOTOIONIZATIONRATIONAL-APPROXIMATIONSSpecial functionsVOIGT FUNCTION


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