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

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.

Refined version, old figure removed, new figure, new references, expanded discussion, accepted for publication by the Journal of Quantitative Spectroscopy and Radiative Transfer

References in corpus (3)

• Interference effects in the photorecombination of argonlike Sc3+ ions: Storage-ring experiment and theory
• Photoionization of ions with synchrotron radiation: From ions in space to atoms in cages
• Analytical expression for the convolution of a Fano line profile with a Gaussian

Cited by in corpus (9)

• Uncovering Electron-Phonon Scattering and Phonon Dynamics in Type-I Weyl Semimetals
• Photoionization of metastable heliumlike C4+(1s 2s 3S1) ions: Precision study of intermediate doubly excited states
• Multiple photodetachment of carbon anions via single and double core-hole creation
• Analytical expression for the convolution of a Fano line profile with a Gaussian
• Photoionization of astrophysically relevant atomic ions at PIPE
• Double-$K$-hole resonances in single photoionization of He-like B${}^{3+}$ ions
• Multiple photodetachment of atomic anions via single and double core-hole creation
• Signatures of free carriers in Raman spectra of cubic In${}_2$O${}_3$
• Perturbative theory of ensemble-averaged atomic dynamics in fluctuating laser fields