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

2020/08/14 by Xiaochao Zhou, Zhou, Xiaochao, Zekun Zhu +3
Engineering · Physics and Astronomy · #Advanced Antenna and Metasurface Technologies #Antenna Design and Analysis #Computational Engineering #Electromagnetic Scattering and Analysis #FOS: Computer and information sciences #Finance #and Science (cs.CE)

paper · pdf · doi:10.48550/arxiv.2008.06216

openalex publication_date 2020/08/14 · openalex created_date 2020/08/21 · openalex updated_date 2026/07/28

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.

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