A discrete-ordinates solution for a non-grey model with complete frequency redistribution

Abstract The discrete-ordinates method is used to develop a solution to a class of non-grey problems in the theory of radiative transfer. The model considered allows for scattering with complete frequency redistribution (completely non-coherent scattering) and continuum absorption. In addition to a general formulation for semi-infinite and finite plane-parallel media, specific computations, for both the Doppler and the Lorentz profiles of the line-scattering coefficient, are discussed in regard to a half-space application concerning a linearly varying Planck function and also in regard to a basic problem from which, except for the conservative case, the classical X and Y functions can be extracted.