Abstract:
The general vectorial boundary-value problem for kinetic equation, describing the polarized radiation transfer in a planar layer with a horizontally nonhomogeneous anisotropically reflecting underlying surface, is not solved by the finite differences methods. Mathematical model, giving an asymptotically accurate solution to this problem in the slow growth functions class, has been proposed and justified. The new model has been stated by the influence functions and the spatial frequence characteristics method. This model is effective for the parallel computing.