Analytical solution of the radiation transfer equation for a three-dimensional volume of a disperse medium with an arbitrary scattering indicatrix

An analytical solution of the boundary-value problem for the equation of radiation transfer in a three-dimensional disperse medium with an arbitrary scattering indicatrix has been found. The solution has the form of an expansion in the basis of the finite-dimensional functional space of the author's special G functions that in full measure take into account information on the angular structure of a real scattering indicatrix. (authors)