A Model of Self‐similar Radiative Transfer in Resonance Lines for Testing the Edge Plasma Codes

Abstract

Possibilities of obtaining the analytical solutions of the one-dimensional equation of radiative transfer in resonance atomic/ionic lines in the Biberman-Holstein model for testing the edge plasma codes are investigated. It is shown that for some types of similarity of spatial profiles of three characteristics, namely, background plasma density, line shape width and non-radiation source of atomic excitation, the profile of excited atoms density may be described analytically in terms of the similarity of the above-mentioned profiles.

Absorption of ultrashort electromagnetic pulses in plasma with inhomogeneous distribution of density and temperature

“…Let us consider the problem [19,20] of the distribution of neutral (in ground state) hydrogen in a plasma layer of thickness L. We will assume that the temperature profile of neutral atoms has the following linear dependence [19,20] : Let us consider the problem [19,20] of the distribution of neutral (in ground state) hydrogen in a plasma layer of thickness L. We will assume that the temperature profile of neutral atoms has the following linear dependence [19,20] :…”

“…The density profile of non-excited atoms N(z) in the case of Doppler broadening is given by the expression [19,20] :…”