Multiple scattering by a collection of randomly located obstacles distributed in a dielectric slab

Multiple scattering of electromagnetic waves by a discrete collection of scatterers is a well-studied subject, and many excellent treatments are found in the literature. The deterministic analysis of the scattering problem in this chapter is an extension of the problems treated previosly. Moreover, the present analysis generalizes the established results in two previous papers to a geometry with a more general background material, which is practical for a controlled experimental verification of the final result. The transmitted and reflected intensities are conveniently represented as a sum of two terms-the coherent and the incoherent contribution. In this chapter, we focus on the analysis of the coherent term. The chapter is organized as follows. In Section 25.2, the geometry of the multiple electromagnetic scattering problem is given, and in Section 25.3, the main tool to solve the problem-the integral representation-is introduced. The integral representations are exploited in the various homogeneous regions of the problem in Section 25.4, and the appropriate expansions of the surface fields are introduced in Section 25.5. The final goal of the chapter is to calculate the transmitted and reflected coherent fields of the problem.