Formulation of Single-Source Surface Integral Equation for Electromagnetic Analysis of Composite Penetrable Objects

TL;DR

This paper introduces a novel single-source surface integral equation for electromagnetic analysis of composite objects, reducing unknowns by focusing on outer boundaries, validated through numerical examples.

Contribution

A new SS-SIE formulation that models composite penetrable objects with unknowns only on the outermost boundaries, simplifying computations.

Findings

Fewer unknowns compared to existing methods.

Validated accuracy through numerical examples.

Effective modeling of composite penetrable objects.

Abstract

This paper presents a new single-source surface integral equation (SS-SIE) to model composite penetrable objects. In the proposed formulation, the surface electric and magnetic fields on all interior boundaries are first eliminated through combining integral solutions inside each object. Then, by enforcing the surface electric fields in the original and equivalent configurations are equal to each other, an equivalent model with only the electric current density on the outermost boundaries is derived. Compared with other SIEs, like the PMCHWT formulation, all unknowns are residing on the outermost boundaries in the proposed formulation and therefore, less count of unknowns can be obtained. Finally, two numerical examples are carried out to validate the effectiveness of the proposed SS-SIE.