Approximate formulation of redistribution in the Ly-alpha, Ly-beta, H-alpha system

Physics – Atomic Physics

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Astronomical Spectroscopy, Atomic Physics, H Alpha Line, Lyman Alpha Radiation, Lyman Beta Radiation, Spectral Energy Distribution, Emission Spectra, Line Shape, Particle Collisions, Radiative Transfer, Raman Spectra, Spectral Line Width

Scientific paper

Simple approximate formulas are given for the coupled redistribution of Ly-alpha, Ly-beta, and H-alpha, by using well-defined approximations to an essentially exact formulation. These formulas incorporate all the essential physics including Raman scattering, lower state radiative decay, and correlated terms representing emission during a collision which must be retained in order that the emission coefficients are properly behaved in the line wings. Approximate expressions for the appropriate line broadening parameters are collected. Finally, practical expressions for the source functions are given. These are formulated through newly introduced nonimpact redistribution functions, which are shown to be reasonably approximated by existing (ordinary and generalized) redistribution functions.

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