Numerical models of mosaic homogeneous isotropic random fields and problems of radiative transfer

New algorithms for statistical modeling of radiation transfer through various types of stochastic homogeneous isotropic media are created. For this, a special geometric implementation of a “maximum cross-section method” is developed, which takes into account radiation absorption by an exponential weight factor. Some functionals of the solution to the radiative transfer equation, such as mean passage probability, as functions of the correlation length and field type are studied both theoretically and numerically. A theorem of convergence of these functionals to corresponding functionals for an average field as the correlation length decreases to zero is proved.