Formulation of Surface-Volume-Surface-EFIE for Solution of Three-Dimensional Scattering Problems on Composite Dielectric Objects

A novel formulation of the surface-volume-surface electric field integral equation (SVS-EFIE) is introduced for the solution of the scattering and radiation problems on the composite dielectric objects made of arbitrary number of piecewise homogeneous nonmagnetic dielectric regions. The regions composing the scatterer may or may not share common boundaries. Due to the fact that SVS-EFIE introduces the independent fictitious surface electric current densities on the boundary of each region, the proposed formulation allows for independent meshing of the scatterer regions according to its permittivity. As a result, the new SVS-EFIE formulation presents no complications in method-of-moments discretization at the material junctions. The proposed formulation exhibits the same CPU time and the memory complexities as traditional surface integral equation formulations when fields throughout the scatterer are to be computed. The new equation is validated through comparison of its solution against the Mie series and fields computed using the commercial software.