Radiative transfer with anisotropic scattering and arbitrary temperature for plane geometry

Particular solutions to the radiative transport equation are presented for an absorbing, emitting, and anisotropically scattering medium with an arbitrary, but specified, temperature profile; the radiative transport is assumed as one-dimension al and axisymmetric. Homogeneous and particular solutions are obtained from the discrete ordinate form of the radiative transport equation. Derivation of the particular solutions is based upon the method of variation of parameters. The constants associated with the particular solution are expressed explicitly. This work yields a general solution which is applicable to a wide range of problems involving radiative transport in absorbing, emitting, and scattering media. Also, illustrative example problems are presented for media having various specified temperature profiles and phase functions.