An efficient Krylov-subspace-based algorithm to solve the dielectric-waveguide problem

Author

Radhakrishnan, Kaladhar ; Chew, Weng Cho

Author_Institution

Center for Comput. Electromagn., Illinois Univ., Urbana, IL, USA

Volume

49

Issue

7

fYear

2001

fDate

7/1/2001 12:00:00 AM

Firstpage

1345

Lastpage

1348

Abstract

An efficient scheme based on the bi-Lanczos algorithm has been developed for analysis of the dielectric-waveguide problem. A two-dimensional finite-difference scheme in the frequency domain is used to discretize the waveguide cross section. The resulting sparse eigenvalue problem is solved efficiently using the bi-Lanczos algorithm. Apart from solving the modes of the dielectric waveguide, a scheme to solve for the fields in the presence of a localized source is also described. Numerical results are also included to confirm the validity of the method

Keywords

dielectric waveguides; eigenvalues and eigenfunctions; finite difference methods; frequency-domain analysis; sparse matrices; waveguide theory; Krylov subspace; bi-Lanczos algorithm; dielectric waveguide; localized source; numerical discretization; sparse eigenvalue matrix; two-dimensional finite difference frequency domain method; Dielectrics; Difference equations; Eigenvalues and eigenfunctions; Electromagnetic waveguides; Finite difference methods; Maxwell equations; Optical waveguides; Partial differential equations; Rectangular waveguides; Transmission line matrix methods;

fLanguage

English

Journal_Title

Microwave Theory and Techniques, IEEE Transactions on

Publisher

ieee

ISSN

0018-9480

Type

jour

DOI

10.1109/22.932257

Filename

932257