Precision and application range of quasi-single scattering approximation

摘要

In this paper the problem of the light reflection from a turbid medium slab is considered. The method of the single scattering separation on a scattering leading to a radiative transfer veering concerning a surface normal, and on a scattering not leading to that is offered. The reflectance is represented as a series on the scattering multiplicities with a single change of the direction. For each multiplicity the precise linear integro-differential equation with homogeneous boundary conditions is obtained. The application of the discrete ordinates method brings to the linear matrix equations. The solution of these equations without usage of the small angle approximation in the matrix exponential curves form is found. The application range of the quasi-single scattering approximation is uniquely determined.