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

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

2012-03-19

arxiv.org/abs/1203.4281v1

Physics

Atomic Physics

4 pages, 1 figure, accepted for publication in the Int. Rev. At. Mol. Phys

Scientific paper

Asymmetric Fano line profiles are frequently encountered, e.g., in photoionization spectra of atoms and ions. For the fitting of spectral line profiles to experimental spectra the line profiles have to be convoluted 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 complex error function.

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