Transmission and Reflection Operators of Radiative Transfer Equation with Aberration and Advection Terms - Part One - Monochromatic Radiation Field with Spherical Symmetry

Abstract

Integration of the radiative transfer equation, with the aberration and advection terms included, is described, assuming coherent and isotropic scattering. The operators of transmission and reflection derived in this paper are applicable to situations in which v/c= 0.0167 where v and c are the velocities of the gas and light respectively. These operators can be applied to a spherically symmetric medium in which matter scatters or absorbs and emits monochromatic radiation