Multiple scattering by a collection of randomly located obstacles Part II: Numerical implementation - coherent fields

A numerical implementation of a rigorous theory to analyze scattering by randomly located obstacles is presented. In general, the obstacles can be of quite arbitrary shape, but, in this first implementation, the obstacles are dielectric spheres. The coherent part of the reflected and transmitted intensity at normal incidence is treated. Excellent agreement with numerical results found in the literature of the effective wave number is obtained. Moreover, comparisons with the results of the Radiative Transfer Equation (RTE) are made. The present theory also gives a small reflected coherent field, which is not predicted by the RTE, and these results are discussed in some detail