Radiant Heat Transfer in Propagation of Nonlinear Waves in a Plasma. Integral Approximation for a Real Spectrum

Abstract

Using the spectrum‐integral method of partial characteristics, we investigated radiative transfer of energy in a plasma, taking into account the actual optical properties of the plasma. The method is based on the representation of the plasma radiation flux (in the case of a plane layer) or its intensity (for an arbitrary geometry) in terms of the spectrum‐integral quantities. Usually an assumption on continuous (linear or parabolic) distribution of thermodynamic parameters of the plasma between the points of radiation generation and of its observation is used. This approximation provides a good description of radiation transfer in a plasma with small gradients of the parameters. In the case of a sharp change in the plasma parameters due to the propagation of nonlinear waves in it, the method of partial characteristics is generalized by introducing discontinuity solutions into consideration. Results are given confirming the high efficiency of the approach described.