A two-level plane wave time-domain algorithm for fast analysis of EMC/EMI problems

A fast time-domain integral equation (TE)-based scheme for analyzing transient electromagnetic compatibility and interference (EMC/EMI) problems involving printed circuit boards and cables/connectors that reside in shielding enclosures, is presented. The proposed algorithm hybridizes a classical marching-on-in-time (MOT) solver for analyzing radiation from perfect electrically conducting (PEC) surface/wire geometries with the previously introduced two-level plane wave time-domain (PWTD) algorithm. The accuracy and efficacy of the resulting MOT-PWTD algorithm are validated via analysis of the radiation characteristics of a number of structures including a loaded motherboard that resides in a chassis. For a problem with N_s spatial and N_T temporal unknowns, the computational complexity of the two-level MOT-PWTD algorithm scales as O(N_TN_S^1.5 log N_S) as opposed to O(N_TN_S²) for a classical MOT scheme