Mathematical model of the polarized radiation transfer

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