Efficient modeling of interconnects and capacitative discontinuities in high-speed digital circuits
Oh, Kyung Suk
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https://hdl.handle.net/2142/23544
Description
Title
Efficient modeling of interconnects and capacitative discontinuities in high-speed digital circuits
Author(s)
Oh, Kyung Suk
Issue Date
1995
Doctoral Committee Chair(s)
Schutt-Ainé, José E.
Department of Study
Engineering, Electronics and Electrical
Physics, Electricity and Magnetism
Discipline
Engineering, Electronics and Electrical
Physics, Electricity and Magnetism
Degree Granting Institution
University of Illinois at Urbana-Champaign
Degree Name
Ph.D.
Degree Level
Dissertation
Keyword(s)
Engineering, Electronics and Electrical
Physics, Electricity and Magnetism
Language
eng
Abstract
With the recent advances in high-speed digital circuits, modeling of interconnects and associated discontinuities has gained a considerable interest over the last decade although the theoretical bases for analyzing these structures were well-established as early as the 1960s. Ongoing research at the present time is focused on devising methods which can be applied to more general geometries than the ones considered in earlier days and, at the same time, improving the computational efficiency and accuracy of these methods.
In this thesis, numerically efficient methods to compute the transmission line parameters of a multiconductor system and the equivalent capacitances of various strip discontinuities are presented based on the quasi-static approximation. The presented techniques are applicable to conductors embedded in an arbitrary number of dielectric layers with two possible locations of ground planes at the top and bottom of the dielectric layers. The cross-sections of conductors can be arbitrary as long as they can be described with polygons.
An integral equation approach in conjunction with the collocation method is used in the presented methods. A closed-form Green's function is derived based on weighted real images thus avoiding nested infinite summations in the exact Green's function; therefore, this closed-form Green's function is numerically more efficient than the exact Green's function. All elements associated with the moment matrix are computed using the closed-form formulas. Various numerical examples are considered to verify the presented methods, and a comparison of the computed results with other published results showed good agreement.
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