The Behavior of MFIE and EFIE at Interior Resonances and Its Impact in MOT Late Time Stability

Abstract

In the vicinity of a certain interior frequency, the current density on the surface of a perfect electric conducting scatterer, when illuminated by an incident field, is divided into two parts: an induced surface current caused by the incident field and a resonance surface current associated with the interior resonance mode. Equivalent RLC circuit models are proposed respectively for PEC scatterers associated with the electric field integral equation (EFIE) and the magnetic field integral equation (MFIE). Using the circuit models, together with the power conservation law, the different behavior of the resonance surface currents associated with EFIE and MFIE is analyzed and checked with numerical examples in two-dimensional space. It is shown that the interior resonance behavior has significant influence on the late time stability associated with time domain EFIE and MFIE.