Complete field descriptions in three-dimensional multiple scattering problems: a transfer-matrix approach

Abstract

We illustrate that a recently formulated recursive transfer matrix method can be used to reliably calculate the electromagnetic fields throughout three-dimensional systems of strongly scattering spheres, and/or coated spheres. The exceptional features of our technique are its particularly stable and reliable numeric implementations. In this work, we present new self-consistent formulae which permit the verification of the numerical stability at any stage of the calculations, and which ensure the satisfaction of the underlying multiple scattering equations for an arbitrary incident wave.