Ultra-Near Fields of Penetrable Bodies of Translation: ω-κ Representations

Abstract

Ultra-near fields scattered from penetrable bodies of translation (BOTs) are examined in the frequency wave vector (ωκ) domain. The classes of penetrable BOTs considered here include those with discrete homogeneous or inhomogeneous regions. For the latter case the region can be partially penetrable containing perfectly electrically conducting (p.e.c.) inclusions. The permittivity and permeability of each subregion can be complex. The electromagnetic scattering formulation is given in terms of a coupled system of integral equations. These are solved for the external electric and magnetic currents via the method of moments (MM). Next the ω-κ representations for the ultra-near electric and magnetic fields in the proximity of the body are obtained by a Fourier transformation of the integral operators over the spatial domain. The resulting ω-κ representations delineate the propagating and evanescent components of the fields. The analysis is extendable to finite layered media.