A Combined Source Integral Equation with Weak Form Combined Source Condition

TL;DR

This paper introduces a new combined source integral equation (CSIE) for electromagnetic problems that improves accuracy at edges, handles interior resonances, and converges faster than traditional EFIE, demonstrated through numerical simulations.

Contribution

The paper develops a novel CSIE with a weak form combined source condition, enhancing accuracy and convergence over existing methods for electromagnetic scattering problems.

Findings

Superior accuracy at sharp edges and interior resonances

Faster convergence of iterative solvers compared to EFIE

Numerical results validate the effectiveness of the proposed CSIE

Abstract

A combined source integral equation (CSIE) is constructed on the basis of the electric field integral equation (EFIE) to solve electromagnetic radiation and scattering problems containing perfect electrically conducting bodies. It is discretized with Rao-Wilton-Glisson basis functions only, for both electric and magnetic surface current densities. The combined source condition, which ensures the uniqueness of the solution and circumvents the interior resonance problem, is implemented as a weak form side condition. Compared to the common combined field integral equation, the proposed CSIE shows superior accuracy for sharp edges as well as structures with the interior resonance problem. Furthermore, the iterative solver convergence of the CSIE is faster than for the EFIE, which shows about the same accuracy as the CSIE. Results of numerical scattering simulations are presented to demonstrate the accuracy of the presented CSIE.