On a model of radiation transport problems in the spherical shell with allowance for the reflecting boundary

The radiation transport in the Earth's atmosphere is being investigated to scale over the whole planet. The method of the numerical solution of the general boundary value problem in the radiative transfer theory for a spherical shell with a reflecting underlying surface for the mathematical modeling of the Earth radiation field is proposed. The optical transfer operator of the spherical atmosphere-Earth system has been constructed. The models of the influence functions for the transfer theory spherical boundary value problem are formulated.