Generalized Stokes reciprocity relations for scattering from dielectric objects of arbitrary shape

Abstract

The S matrix is first introduced within the framework of the angular spectrum representation of wave fields interacting with linear dielectric bodies of arbitrary shape. By using some universal properties of the S matrix, a number of relations involving certain generalized reflection and transmission coefficients are derived. These relations may be regarded as generalizations of two well-known classic reciprocity relations due to G. G. Stokes. Two reciprocity relations involving the reflection and the transmission coefficients for interaction of a plane electromagnetic wave with a stratified dielectric medium are obtained as special cases.