A Hybrid Scheme for Accurate Electromagnetic Analysis With Open Conducting Structures

Abstract

The method of moments (MoM) is the primary numerical method for electromagnetic (EM) analysis by integral equation approach. The Nyström method (NM) has rapidly developed in recent years and could become a strong competitor or alternative to the MoM. The NM is a kind of point-matching method (PMM), but they are actually different. The NM uses a quadrature rule to select matching points within an element while the PMM can randomly choose the matching points. The used quadrature rule allows the NM to transform a continuous integral over a small domain into a discrete summation, leading to a direct evaluation of integrands to generate far-interaction matrix entries. In contrast, the PMM has to rely on numerical integrations to evaluate matrix entries. We propose a hybrid scheme by combining the merits of the two methods and use it to solve EM scattering by open structures, which have an abnormal EM behavior. Numerical examples are presented to illustrate the scheme and its good performance has been verified.