A modified formula for the Voigt spectral line profile

23rd International Conference on Spectral Line Shapes

Roston, G.D.^1 ; Ahmed, M.F.^1 ; Helmi, M.S.^1 ; Mahran, O.S.^1

Department of Physics, Faculty of Science, Alexandria University, Egypt^1

关键词: Gaussian profiles;    Integral formulas;    Line damping parameters;    Line profiles;    Lorentzian profile;    Numerical calculation methods;    Second-order differential equation;    Voigt spectral line profiles;   

Others  :  https://iopscience.iop.org/article/10.1088/1742-6596/810/1/012037/pdf
DOI  :  10.1088/1742-6596/810/1/012037

来源: IOP

【 摘 要 】

A modified formula for the Voigt spectral line profile has been obtained. The Voigt formula has been transferred from the integral formula to a second order differential equation. It was found that the results of the obtained formula are in a perfect agreement with the corresponding published results which are obtained by different numerical calculation methods for a wide range of the line damping parameter (a) for (0 ≤ a ≤ 200). Also, four special formulas are obtained at different ranges of the line profile, Gaussian profile at (a → 0), Lorentzian profile at (a → ∞), line center at (x → 0) and line wings at (x → ∞).