Premium
An efficient solution of the generalized eigenvalue problems for planar transmission lines
Author(s) -
Prakash V. V. S.,
Kuzuoglu Mustafa,
Mittra Raj
Publication year - 2001
Publication title -
microwave and optical technology letters
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.304
H-Index - 76
eISSN - 1098-2760
pISSN - 0895-2477
DOI - 10.1002/mop.1396
Subject(s) - eigenvalues and eigenvectors , finite element method , planar , convergence (economics) , matrix (chemical analysis) , transmission line , mathematics , transmission (telecommunications) , microwave , microstrip , line (geometry) , mathematical analysis , computer science , electronic engineering , physics , geometry , telecommunications , engineering , materials science , structural engineering , computer graphics (images) , quantum mechanics , economics , composite material , economic growth
Abstract 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. © 2001 John Wiley & Sons, Inc. Microwave Opt Technol Lett 31: 194–197, 2001.