Abstract

In this letter, we demonstrate an efficient preconditioning scheme for the eigenanalysis of inhomogeneously loaded rectangular cavities. Modeling the entire structure with the finite-difference frequency-domain (FDFD) method yields a large sparse eigenvalue problem. The desired interior eigen-spectrum is sought for by Arnoldi iterations with the shift-and-invert operation, where the inversion can only be performed iteratively in large-scale applications. A preconditioner is constructed to speed up the inversion. It can effectively shrink the spectrum of the governing matrix and can be solved for by using fast discrete sine and cosine transforms (DSTs and DCTs). Several numerical examples are included to illustrate the efficiency of the preconditioned eigenanalysis. © 2013 IEEE.

Department(s)

Electrical and Computer Engineering

Keywords and Phrases

Fast discrete sine and cosine transforms; Finite-difference frequency domain (FDFD); Inhomogeneously loaded rectangular cavities; Preconditioner

International Standard Serial Number (ISSN)

1536-1225

Document Type

Article - Journal

Document Version

Citation

File Type

text

Language(s)

English

Rights

© 2024 Institute of Electrical and Electronics Engineers, All rights reserved.

Publication Date

03 Dec 2013

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