Application of a hybrid FEM/MOM method to a canonical PCB problem

A hybrid FEM/MOM method was used to solve a canonical printed circuit board (PCB) problem. The PCB is populated with three traces. One is a signal line and the other two are I/O lines that extend beyond the boundary of the board. The finite element method (FEM) was used to model the fields in the volume around the on-board trace. The method of moments (MOM) was employed to model the equivalent surface currents on the board and the current on the off-board traces. The FEM and MOM equations were coupled by forcing the continuity of tangential fields on the dielectric boundary. An efficient meshing strategy was employed to reduce the memory requirements. The major contributors to far fields in different frequency bands and for different polarizations are discussed.