Analysis of Dielectric Waveguides and Microstrip Lines Using Krylov Subspace-Based Techniques
Radhakrishnan, Kaladhar
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https://hdl.handle.net/2142/81324
Description
Title
Analysis of Dielectric Waveguides and Microstrip Lines Using Krylov Subspace-Based Techniques
Author(s)
Radhakrishnan, Kaladhar
Issue Date
2000
Doctoral Committee Chair(s)
Chew, Weng Cho
Department of Study
Electrical Engineering
Discipline
Electrical Engineering
Degree Granting Institution
University of Illinois at Urbana-Champaign
Degree Name
Ph.D.
Degree Level
Dissertation
Keyword(s)
Engineering, Electronics and Electrical
Language
eng
Abstract
In this thesis, we have developed a finite-difference-based frequency domain scheme to analyze a wide variety of waveguides and microstrip lines. The formulation is generalized to account for anisotropic, lossy substrates. In order to speed up the algorithm, the discretization is limited to the two-dimensional transverse plane while propagating the wave analytically along the longitudinal direction. The performance of the algorithm is further improved by using Krylov subspace-based reduction techniques to solve the sparse matrix equation. The numerical technique is also extended to analyze single and multiple discontinuities in the waveguiding structure. Finally, some preliminary work is done on truncation of the computational domain using perfectly matched layers (PML) as a material absorbing boundary conditions.
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