Solving an Electromagnetic Scattering Problem in Chiral Media

Abstract

In this work we consider the problem of scattering of a plane electromagnetic wave by a chiral dielectric obstacle in a chiral environment. We formulate the problem in terms of Beltrami fields in order to state existence and uniqueness. We prove a general scattering theorem when the incident field is a chiral electromagnetic Herglotz pair. Using low-frequency techniques the scattering problem is reduced to an iterative sequence of potential problems which can be solved successively in terms of expansions in appropriate ellipsoidal harmonic functions and we evaluate the zeroth-order approximation.