Stabilization of time domain solutions of EFIE based on partial element equivalent circuit models

Progress is being made towards the stable integration of time-domain electromagnetic field integral equations. Many different techniques have been proposed previously for overcoming the well known "late time" instability problem associated with the numerical integration of these equations. The instabilities could be either due to the discretization of the integral equation or the numerical integration scheme. In this paper, we present a stable time domain solution technique which is based on advances in the understanding of the sources of the late instability problem. The proposed technique takes advantage of the distributed equivalent circuit representation of the electromagnetic problem effected through the use of partial element equivalent circuit (PEEC) models for the numerical approximation of the integral equation. We are interested in solving problems associated with EMI and other EIP (electrical interconnect and package) induced noise effects. We are also interested in the simulation of complex RF and microwave circuits that involve both distributed and lumped circuits.