Title :
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
fDate :
7/1/2001 12:00:00 AM
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;
Journal_Title :
Microwave Theory and Techniques, IEEE Transactions on
