Scattering relations for a multi-layered chiral scatterer in an achiral environment

Abstract

In this work we study scattering of a plane electromagnetic wave by a multi-layered chiral body in free space. In the interior of the scatterer exists a core which is either a perfect conductor or a dielectric. We obtain integral representations of the scattered fields which consist of a chiral and an achiral counterpart incorporating the boundary and transmission conditions. We introduce a dimensionless version of the scattering problem and we prove the reciprocity principle and a general scattering theorem for the far-field patterns. Finally, we define Herglotz functions and we state the general scattering theorem in terms of the far-field operator which expresses the superposition of the far-field pattern.