Groups and Their Representations in the Theory of Radiative Transfer. II

The operator-matrix description of radiative transfer developed in the first part of this paper is used to find the radiation field inside an inhomogeneous atmosphere. An important result along the way is separation of the variables of optical thickness and depth. The concept of a group of optical depth translation is introduced. It is shown that the latter is equivalent to the group of compositions of media with different optical and physical properties introduced in the first part of this paper. Representations are found for the group of translations. Radiative transfer problems in inhomogeneous atmospheres with internal energy sources and in an atmosphere with an infinite optical thickness are discussed.