Radiative Transfer. II

Abstract

This paper presents an exact solution to the equations of radiative transfer for a generalization of the Uniform‐Picket‐Fence model discussed in a previous work. Here the absorption coefficient is allowed to take N different values over the frequency spectrum. Case's method is used to construct the normal mode solutions to the set of N coupled integral equations. Then half‐range completeness and orthogonality theorems are proved that enable one to solve typical half‐space problems. Explicitly, the asymptotic solution to the Milne problem is developed, including the extrapolated end point, while implicitly the complete solution is available.