On the planetary and Milne problems in complex radiative transfer

Abstract

In this paper we consider two classical problems in radiative transfer – the planetary and the Milne problems – in an isotropic homogeneous optically semi-infinite medium where the albedo of single scattering may be defined anywhere in the complex plane.It appeared that the method of approximating the kernel in the integral equation for the Sobolev resolvent function can be used even in such a case. This approach allows to express almost all the relevant functions of transfer for those problems by simply determinable auxiliary functions.