Efficient Statistical Analysis of EM Coupling to PCB Power Planes in Complex Enclosures

This paper presents a hybrid deterministic-statistical simulation framework for analyzing electromagnetic coupling to printed circuit boards (PCBs) housed within electronic enclosures. The proposed method integrates a stochastic Green's function integral equation formulation with the reciprocity theorem to model the interaction between cavity fields, PCB power planes, and aperture currents. The work enables efficient statistical prediction of far-field radiation patterns for radiated emission problems and induced voltages at critical PCB port locations for electromagnetic coupling scenarios. Representative numerical experiments are conducted to validate the methodology against full-wave simulations.