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Iterative Solution of the Eigenvalue Problem for a Dielectric Waveguide

Albert T. GalickThomas KerkhovenUmberto Ravaioli

出版	University of Illinois at Urbana-Champaign, Center for Supercomputing Research and Development, 1991
URL	http://books.google.com.hk/books?id=hIlLHAAACAAJ&hl=&source=gbs_api

註釋Abstract: "We present a numerical approach to the simulation of dielectric waveguides that is free of spurious modes and is based on the solution of an eigenvalue problem for the two transverse components of the magnetic field. We introduce a new discretization which has several computational advantages. In particular, by careful design of the discretization procedure we obtain systems of equations for the two components which are equivalent in the sense that a rotation over 90 degrees corresponds to a suitable permutation of indices. The eigenvalue problem is solved iteratively by using an adapted version of the Chebyshev- Arnoldi algorithm