An efficient solution of the generalized eigenvalue problems for planar transmission lines

Date

2001-11-05

Author

Prakash, VVS
Kuzuoğlu, Mustafa
Mittra, R

Metadata

Show full item record

This work is licensed under a Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International License.

Item Usage Stats

217
views

0
downloads

This paper presents an efficient solution for solving the generalized eigenvalue equation arising in the finite-element (FE) formulation of propagation characterization of planar transmission-line structures. A two-dimensional (2-D) finite-element method (FEM) is used for analyzing the uniform planar transmission lines. The Arnoldi algorithm is used in conjunction with the multifrontal decomposition of the system matrix for solving the eigensystem. Convergence is typically obtained within a few iterations of the Arnoldi process, and the formulation has proven to be robust, even when dealing with a significantly large number of unknowns. Numerical results are presented for the case of a uniform microstrip line, which clearly show the computational savings resulting from the use of the present approach. (C) 2001 John Wiley & Sons, Inc.

Subject Keywords

Electrical and Electronic Engineering, Atomic and Molecular Physics, and Optics, Electronic, Optical and Magnetic Materials, Condensed Matter Physics

URI

https://hdl.handle.net/11511/44306

Journal

MICROWAVE AND OPTICAL TECHNOLOGY LETTERS

DOI

https://doi.org/10.1002/mop.1396

Collections

Department of Electrical and Electronics Engineering, Article

Suggestions

OpenMETU
Core

Forward-backward domain decomposition method for finite element solution of electromagnetic boundary value problems Ozgun, Ozlem; Kuzuoğlu, Mustafa (Wiley, 2007-10-01) We introduce the forward-backward domain decomposition method (FB-DDM), which is basically an improved version of the classical alternating Schwarz method with overlapping subdomains,for electromagnetic, boundary value problems. The proposed method is non-iterative in some cases involving smooth geometries, or it usually converges in a few iterations in other cases involving challenging geometries, via the utilization of the locally-conformal PML method. We report some numerical results for two- dimensional...
A robust algorithm for the solution of electromagnetic problems over a frequency interval via the Pade approximation Kuzuoğlu, Mustafa (Wiley, 1999-03-20) In this paper, we present an efficient and systematic algorithm for the solution of electromagnetic scattering and radiation problems over a wide frequency interval. The algorithm is based on the evaluation of the Pade approximant of the solution vector, constructed at a minimum number of expansion frequencies within the interval of interest. The bisection algorithm introduced in this paper is robust. It keeps the approximation error bounded by a predefined constant over the entire frequency band. (C) 1999 ...
Analysis of composite nanoparticles with surface integral equations and the multilevel fast multipole algorithm Ergül, Özgür Salih (IOP Publishing, 2012-06-01) Composite nanoparticles involving multiple parts with different material properties are analyzed rigorously with surface integral equations and the multilevel fast multipole algorithm. Accuracy and efficiency of the developed parallel implementation are demonstrated on spherical objects with dielectric, perfectly conducting, plasmonic, and double-negative regions. Significant effects of the formulation on numerical solutions are also considered to show the tradeoff between the efficiency and accuracy.
Quantitative analysis of nonlinear dynamics of quantum light transmission in strongly coupled quantum dot-cavity systems Tugen, Alperen; Kocaman, Serdar (Elsevier BV, 2019-04-01) We compared transmission spectra of coupled high-Q cavity with quantum dot (QD) systems in the strong coupling regime with Input-Output Formalism (IOF) and Incoherent Pumping Mechanism (IPM) based on Lindblad master equation approach. The peak transmission of Dipole Induced Transparency (DIT) together with its full-width-half-maximum (FWHM) are enquired for detailed analysis. Both methods exhibit the same vacuum Rabi splitting in on-resonant case, in contrast, the peak of DIT is estimated smaller between 50...
IMPROVING ITERATIVE SOLUTIONS OF THE ELECTRIC-FIELD INTEGRAL EQUATION VIA TRANSFORMATIONS INTO NORMAL EQUATIONS Ergül, Özgür Salih (Informa UK Limited, 2010-01-01) We consider the solution of electromagnetics problems involving perfectly conducting objects formulated with the electric-field integral equation (EFIE). Dense matrix equations obtained from the discretization of EFIE are solved iteratively by the generalized minimal residual (GMRES) algorithm accelerated with a parallel multilevel fast multipole algorithm. We show that the number of iterations is halved by transforming the original matrix equations into normal equations. This way, memory required for the G...

Citation Formats

V. Prakash, M. Kuzuoğlu, and R. Mittra, “An efficient solution of the generalized eigenvalue problems for planar transmission lines,” MICROWAVE AND OPTICAL TECHNOLOGY LETTERS, pp. 194–197, 2001, Accessed: 00, 2020. [Online]. Available: https://hdl.handle.net/11511/44306.