### Title page for ETD etd-011410-114753

 Document Type thesis Author Name Li, Tao URN etd-011410-114753 Title 3D Capacitance Extraction With the Method of Moments Degree MS Department Electrical & Computer Engineering Advisors Sergey N. Makarov, AdvisorReinhold Ludwig, Committee MemberAlexander E. Emanuel, Committee Member Keywords MATLAB Method of Moments Numerical Solution Capacitance extraction Date of Presentation/Defense 2010-01-08 Availability unrestricted Abstract In this thesis, the Method of Moments has been applied to calculate capacitance between two arbitrary 3D metal conductors or a capacitance matrix for a 3D multi-conductor system. Capacitance extraction has found extensive use for systems involving sets of long par- allel transmission lines in multi-dielectric environment as well as integrated circuit package including three-dimensional conductors located on parallel planes. This paper starts by reviewing fundamental aspects of transient electro-magnetics followed by the governing dif- ferential and integral equations to motivate the application of numerical methods as Method of Moments(MoM), Finite Element Method(FEM), etc. Among these numerical tools, the surface-based integral-equation methodology - MoM is ideally suited to address the prob- lem. It leads to a well-conditioned system with reduced size, as compared to volumetric methods. In this dissertation, the MoM Surface Integral Equation (SIE)-based modeling approach is developed to realize electrostatic capacitance extraction for 3D geometry. MAT- LAB is employed to validate its eciency and e ectiveness along with design of a friendly GUI. As a base example, a parallel-plate capacitor is considered. We evaluate the accu- racy of the method by comparison with FEM simulations as well as the corresponding quasi-analytical solution. We apply this method to the parallel-plate square capacitor and demonstrate how far could the undergraduate result 0C = A  "=d' be from reality. For the completion of the solver, the same method is applied to the calculation of line capacitance for two- and multi-conductor 2D transmission lines. Files Thesis_TaoLi.pdf

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