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, Advisor
Reinhold Ludwig, Committee Member
Alexander 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 eciency and eectiveness 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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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, Advisor Reinhold Ludwig, Committee Member Alexander 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 eciency and eectiveness 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