Date of Award

2006

Degree Type

Thesis

Degree Name

Master of Engineering Science

Program

Electrical and Computer Engineering

Supervisor

Dr. Anestis Dounavis

Abstract

This thesis contributes to the development of novel methods and techniques to combat the simulation difficulties involved in the VLSI interconnect analysis and the finite element method (FEM) based Full Wave problems. Two significant contributions were made to achieve this. 1. A new closed-form passive time-domain macromodeling algorithm for distributed lossy multiconductor interconnects is developed. The method is based on a sixth order FEM approximation and offers an efficient means to discretize interconnects compared to conventional lumped discretization while preserving the passivity of the macromodel. It is shown that due to the high efficiency of sixth order approximation, the proposed macromodel requires only a few elements to achieve good accuracy. In addition, the FEM macromodel can include frequencydependent per-unit-length (p.u.1.) parameters for the interconnect lines. 2. A parametric model reduction methodology is developed for Fullwave FEM analysis of high frequency microwave devices. This method produces parametric reduced order models that are valid over a user defined range of design parameter values. Such an approach is significantly more CPU efficient in optimization and design space exploration problems since a new reduced model is not required when a parameter is modified. The method presented in this work performs multidimensional Krylov subspace based reduction directly on the conventional FEM system obtained through discretization of vector wave equation. Unlike the previous techniques, the new approach does not result in doubling the size of the original system to perform Krylov-based reduction and consequently results in a significantly smaller and more efficient reduced model.

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