Fast solution of large complex non-hermitian sparse eigenvalue problems

Abstract

Two stage process was used to solve the eigenvalue problems posed by dielectric waveguide formulations. In the first stage, the eigenvalues and eigenvectors are calculated while on the second stage, the eigenpairs for the rest of the frequencies are derived. The efficiency of this method was demonstrated by a variational formulation for anisotropic, dielectric waveguides. Using this formulation, it was shown that the spurious waveguide modes were eliminated as a result of the imposition of the divergence condition.