Journal article

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


Authors listSchippers, S

Publication year2018

Pages33-36

JournalJournal of Quantitative Spectroscopy and Radiative Transfer

Volume number219

ISSN0022-4073

eISSN1879-1352

Open access statusGreen

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

PublisherElsevier


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.




Citation Styles

Harvard Citation styleSchippers, 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 Citation styleSchippers, 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



Keywords


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


SDG Areas


Last updated on 2025-16-06 at 11:27