Simulation of incident field coupling with nonuniform transmission lines

Abstract

This thesis develops a new algorithm to simulate incident field coupling with high-speed interconnects. The interconnects considered in this thesis are represented by nonuniform multi-conductor transmission lines and are described through the Telegraphers Equations. The developed algorithm is based on the concept of model-order reduction via projection onto Hilbert space, where a reduced-order model representing the transmission line is constructed and employed as a stamp for representing the line. The incident field is represented by a set of terminal sources obtained from the projection operator used in constructing the reduced-order model. In addition to being developed to handle nonuniform transmission lines, the proposed algorithm offers an advantage by guaranteeing the passivity of the reduced order model. Several examples are presented to validate the validity and accuracy of the proposed algorithm.