Analysis of combined conducting and dielectric structures of arbitrary shapes using an E-PMCHW integral equation formulation

Since electromagnetic scattering from conducting surfaces of arbitrary shapes in a homogeneous medium using an electric field integral equation (EFIE) and the RWG basis functions was reported, much effort has been expended on the SIE/MoM formulation exploiting the usefulness of the basis function in modeling surfaces of arbitrary shapes and types. In our work modeling dielectric resonator antennas, we have found that a direct extension of the PMCHW formulation to the combined structure does appear to work, even for rather extreme geometrical configurations. We have found that an E-PMCHW formulation, which employs an EFIE for the conducting part and the PMCHW formulation for the dielectric part using the same RWG basis functions for both electric and magnetic currents, works successfully for the combined structures. In this paper our results are presented with a formalism which applies to arbitrary multi-region combined structures.