Precision and application range of the quasi-single scattering approximation at the calculation of the backscattering signal

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 the radiative propagation direction veering concerning a surface normal, and on a scattering not leading to that is offered. The reflectance factor 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 arrived. The application of the discrete ordinates method brings to the linear matrix equations. The solution of these equations without using the small angle approximation in the form of the matrix exponential curves is obtained. The application range of the quasi-single scattering approximation is uniquely determined.