Computer modeling of electromagnetic interference, radiation, and crosstalk in electronic systems.

Abstract

A recently proposed edge-based finite element method (FEM) solution, for eigenvalue problems, is customized for deterministic bounded applications. The solution is then combined with asymptotic expansions of the fields scattered from an inhomogeneous object due to plane wave illumination. Moreover, the combination is modified to solve for radiation problems. The validity and accuracy of the formulations are demonstrated by comparison to other published data. Variety of applications are considered including the computation of the un-intentional radiation and crosstalk interference levels on printed circuit boards, penetration into shielding enclosures, and radar cross-section. The solution described is two-dimensional and the system matrix obtained is sparse (or banded) and symmetric. Further, the solution can be obtained directly without the need for matrix inversion. In addition, a three-dimensional hybrid numerical method is proposed. The method combines the edge-based FEM with the analytical solutions of arbitrary-large cavity with aperture. This hybrid method has the advantages of producing sparse matrix and substantially reducing the number of unknowns. Thus computer storage and processing time demands are reduced. The hybrid results are in agreement with the edge-based FEM solutions. Measurements also were performed and the results match well with the hybrid solution. The applications considered involve one of the problems that concern the EMI/C society, namely, the crosstalk on dielectric boards. Since the principal contribution of this dissertation is the development of hybrid numerical methods, one chapter is devoted to review the hybrid numerical methods.