Title :
Sparse matrix eigenvalue solver for finite element solution of dielectric waveguides
Author :
Fernandez, F.A. ; Davies, J.B. ; Zhu, Shuyuan ; Lu, Yang
Author_Institution :
Dept. of Electron. & Electr. Eng., Univ. Coll. London, UK
Abstract :
A method is presented to find a selected set of eigenvalues and the respective eigenvectors of the generalised eigenvalue problem Ax= lambda Bx for large, sparse, real or complex, nonHermitian matrices. Although the method is clearly applicable to other problems, results are given of application to the vectorial finite element analysis of dielectric waveguides.
Keywords :
dielectric waveguides; eigenvalues and eigenfunctions; finite element analysis; matrix algebra; optical waveguide theory; waveguide theory; dielectric waveguides; eigenvectors; finite element solution; microwave waveguides; nonHermitian matrices; optical waveguides; sparse matrix eigenvalue solver; vectorial finite element analysis;
Journal_Title :
Electronics Letters
DOI :
10.1049/el:19911133
