Propagation of a Collimated Beam in the Refractive Scattering Medium

Abstract

We consider the problem of propagation of the radiation from a point unidirectional source in a scattering medium with a spatially inhomogeneous refractive index. A scheme for numerical solution of the radiative transfer equation with isolated singularities of forward and backward fluxes is proposed. It is demonstrated that analytical solution of the problem is possible in the small-angle approximation, within the framework of which the numerical calculations of the angular distribution of intensity are also performed with allowance for the variances of the scattered-radiation propagation path lengths.