Hybridization of PMCHW Approach with Mitzner Surface Impedance Boundary Conditions for Treating Combined Geometries with Dielectrics and Thin 3D Material Sheets

This paper combines the PMCHW approach and Mitzner surface impedance boundary conditions (SIBC) to derive a generalized approach for treating combined geometries, including both dielectric parts and thin 3D material sheets. The developed approach is verified on a number of specific problems by comparison of the results with those obtained by well-known methods and measurements.

I. Introduction

The analysis of a large number of applied electromagnetic problems needs an accurate consideration of geometric and material properties of objects, such as thickness, permittivity, permeability, conductivity, etc. Proper modeling of such objects is difficult due to the need to use various boundary conditions (BC) on different types of material boundaries. Though many numerical approaches have been developed (such as FEM, FDTD, FIT, VIE, etc.), this modeling can be efficiently performed in the framework of surface integral equations (SIE) using the Method of Moments (MoM) [1].