Analytical results for group averaged scattering cross sections of high temperature plasmas

TL;DR

This paper derives analytical expressions for group-averaged scattering cross sections in high-temperature plasmas, aiding the solution of radiative transfer equations using multi-group methods.

Contribution

It provides new analytical results for scattering coefficients in the low photon energy limit, specifically for Compton scattering in high-temperature plasmas.

Findings

Analytical formulas for scattering cross sections derived

Applicable to low photon energy regimes

Enhances accuracy of radiative transfer modeling

Abstract

Multi-group method is an accepted technique for approximately solving the equation of radiative transfer. In this paper, group averaged transfer scattering cross sections, required for solving the equation of radiative transfer in a multi-group approach, are presented. Compton scattering is approximately described by the Compton cross section for free electrons at rest. In the low photon energy limit analytical results for scattering coefficients have been derived.