Formulation of Single-Source Surface Integral Equation for Electromagnetic Analysis of 2D Partially Connected Penetrable Objects

This paper presents a new single-source surface integral equation (SS-SIE) to model the partially contacted 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 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, three numerical examples are carried out to validate the effectiveness of the proposed SS-SIE.