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

Fuente: arXiv
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Autore principale: Schippers, S.
Natura: Preprint
Pubblicazione: 2012
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author Schippers, S.
author_facet Schippers, S.
contents 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.
format Preprint
id arxiv_https___arxiv_org_abs_1203_4281
institution arXiv
publishDate 2012
record_format arxiv
spellingShingle Analytical expression for the convolution of a Fano line profile with a Gaussian
Schippers, S.
Atomic Physics
Chemical Physics
Plasma Physics
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.
title Analytical expression for the convolution of a Fano line profile with a Gaussian
topic Atomic Physics
Chemical Physics
Plasma Physics
url https://arxiv.org/abs/1203.4281