On the atomic line profiles in high pressure plasmas

J.F.J. Janssen, M. Gnybida, J.L.G. Suijker, A.J. Rijke, J. Dijk, van

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Abstract

In a previous contribution to this journal [H. P. Stormberg, J. Appl. Phys. 51(4), 1963 (1980)], Stormberg presented an analytical expression for the convolution of Lorentz and Levy line profiles, which models atomic radiative transitions in high pressure plasmas. Unfortunately, the derivations are flawed with errors and the final expression, while correct, is accompanied by misguiding comments about the meaning of the symbols used therein, in particular the "complex error function." In this paper, we discuss the broadening mechanisms that give rise to Stormberg's model and present a correct derivation of his final result. We will also provide an alternative expression, based on the Faddeeva function, which has decisive computational advantages and emphasizes the real-valuedness of the result. The MATLAB/Octave scripts of our implementation have been made available on the publisher's website for future reference.
Original languageEnglish
Article number183301
Pages (from-to)183301-1/6
JournalJournal of Applied Physics
Volume114
Issue number18
DOIs
Publication statusPublished - 2013

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