Technique ECAP - Aspects théoriques et applicatifs

Hadj-Larbi, Fayçal; Alili, B.; Bradai, Djamel; Helbert, Anne‐Laure; Baudin, Thierry

doi:10.51257/a-v1-m3045

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“…The pseudo-Voigt profile (or pseudo-Voigt function) is an approximation of the Voigt profile V(x) using a linear combination of a Gaussian G(x) and a Lorentzian L(x) function instead of their convolution. The pseudo-Voigt function is often used for calculations of experimental spectral line shapes [42,43]. The mathematical definition of the normalized pseudo-Voigt profile is given by…”

Section: Main Principlementioning

confidence: 99%

Extracting Physical Information from the Voigt Profile Using the Lambert W Function

Pain

2024

Plasma

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Spectral line shapes are a key ingredient of hot-plasma opacity calculations. Since resorting to elaborate line-shape models remains prohibitive for intensive opacity calculations involving ions in different excitation states, with L, M, etc., shells are populated, and Voigt profiles often represent a reliable alternative. The corresponding profiles result from the convolution of a Gaussian function (for Doppler and sometimes ionic Stark broadening) and a Lorentzian function, for radiative decay (sometimes referred to as “natural” width) and electron-impact broadening. However, their far-wing behavior is incorrect, which can lead to an overestimation of the opacity. The main goal of the present work was to determine the energy (or frequency) at which the Lorentz wings of a Voigt profile intersect with the underlying Gaussian part of the profile. It turns out that such an energy cut-off, which provides us information about the dominant line-broadening process in a given energy range, can be expressed in terms of the Lambert W function, which finds many applications in physics. We also review a number of representations of the Voigt profile, with an emphasis on the pseudo-Voigt decomposition, which lends itself particularly well to cut-off determination.

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Section: Main Principlementioning

confidence: 99%

Extracting Physical Information from the Voigt Profile Using the Lambert W Function

Pain

2024

Plasma

View full text Add to dashboard Cite

show abstract

Technique ECAP - Aspects théoriques et applicatifs

Cited by 1 publication

References 0 publications

Extracting Physical Information from the Voigt Profile Using the Lambert W Function

Extracting Physical Information from the Voigt Profile Using the Lambert W Function

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