Abstract
This work examines several analytical evaluations of the Voigt profile, which is a convolution of the Gaussian and Lorentzian profiles, theoretically and numerically. Mathematical derivations are performed concisely to illustrate some closed forms of the considered profile. A representation in terms of special function and a simple and interesting approximation of the Voigt function are well demonstrated, which could have promising applications in several fields of physics, e.g., atmospheric radiative transfer, neutron reactions, molecular spectroscopy, plasma waves, and astrophysical spectroscopy.
Highlights
IntroductionSpecial interest has been paid since the beginning of the last century to the Voigt function introduced in the literature by Reiche [1] and emerged intensively in a wide variety of fields of physics due to their novel features, such as infrared lines [2], astrophysics [3], normal atmosphere and the spectrum line profiles [4,5,6], and astrophysical spectroscopy [7]
Special interest has been paid since the beginning of the last century to the Voigt function introduced in the literature by Reiche [1] and emerged intensively in a wide variety of fields of physics due to their novel features, such as infrared lines [2], astrophysics [3], normal atmosphere and the spectrum line profiles [4,5,6], and astrophysical spectroscopy [7].In this last field, the Voigt function plays an important role such as to evaluate the opacities of hot stellar gases
The combined Doppler and Lorentz broadening of the spectral line is described by the Voigt function because the absorption coefficient of a gas is proportional to the considered function
Summary
Special interest has been paid since the beginning of the last century to the Voigt function introduced in the literature by Reiche [1] and emerged intensively in a wide variety of fields of physics due to their novel features, such as infrared lines [2], astrophysics [3], normal atmosphere and the spectrum line profiles [4,5,6], and astrophysical spectroscopy [7]. In this last field, the Voigt function plays an important role such as to evaluate the opacities of hot stellar gases. In this work, the authors provide researchers with a simple and easy-to-handle approximation in terms of some special functions of one and two variables
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