Analysis of PCB level EMI phenomena using an adaptive low-frequency plane wave time domain algorithm

Abstract

A novel integral equation based algorithm is proposed that permits the analysis of PCB-level EMI phenomena. The algorithm is based on the multilevel plane wave time domain algorithm (PWTD). For a problem of N/sub T/ temporal and N/sub S/ spatial unknowns involving no sub-wavelength features, the multilevel PWTD algorithm reduces the O(N/sub T/N/sub S//sup 2/) computational cost of a classical marching-on-in-time (MOT) algorithm to O(N/sub T/N/sub S/log/sup 2/N/sub S/). However, PCB structures with fine geometrical details such as very thin slots, closely spaced vias or pins, etc., call for a highly non-uniform spatial discretization of the problem domain. In such cases, a straightforward implementation of the multilevel PWTD scheme cannot achieve a reduced computational complexity. Here, an adaptive low-frequency PWTD algorithm is described to solve this problem. Numerical results are presented to demonstrate the applicability of the scheme to the EMI analysis of complex PCB problems.