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Thesis (M.S.)--Virginia Polytechnic Institute and State University, 1992. / Vita. Abstract. Includes bibliographical references (leaves 103-110). Also available via the Internet.

Digitized by Kansas Correctional Industries

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In this thesis the network analog method is used to analyze various planar multi-conductor structures in multilayered, lossy dielectric media. The method is based on an efficient impedance network representation of the finite difference approximation of Laplace's equation for the electric potential. Using the network analog method, the transmission line parameters are computed for several different uniform stripline structures in lossless and lossy multilayered dielectric material. The network analog method is also applied to several three-dimensional structures consisting of single and coupled conducting patches of rectangular shape. Results obtained with the network analog method for single conducting patches in single and multilayered lossless dielectric media are in good agreement with published results based on a variational approach. Further results presented in this thesis include the coupling capacitance for coplanar and multilevel patch configurations in lossless and lossy multilayered dielectric media. / Graduation date: 2000

This thesis addresses many issues associated with finite element techniques, concentrating on ideas that are not often emphasized in the literature. Pulling together the ideas of mesh generation, sparse storage solution techniques, and functional development, in a single volume, this work provides basic tools for implementation of finite element techniques for both static and dynamic problems in electromagnetics. An automatic mesh generation scheme is developed by forming a Delaunay triangulation. A storage technique will be presented and used In conjunction with a conjugate gradient method to solve linear systems of equations. Application to electromagnetic problems will be demonstrated in the static, quasi-static, and full-field regimes. Laplace's equation is solved for various transmission line geometries to obtain capacitance and characteristic impedance. A finite element model that is a full field expression of Maxwell's equations is developed through a novel variational formulation involving the method of Lagrange multipliers, with attention given to the physical basis of the obtained functional. This model is then applied to the problem of determining the propagation constant of a waveguide. / Master of Science