Multigrid eigenvalue solver for mode calculation of planar optical waveguides

Author

Ramm, K. ; Lusse, P. ; Unger, H.G.

Author_Institution

Inst. fur Hochfrequenztech., Tech. Univ. Braunschweig, Germany

Volume

9

Issue

7

fYear

1997

fDate

7/1/1997 12:00:00 AM

Firstpage

967

Lastpage

969

Abstract

We present a multigrid algorithm suited to solve the discretized eigenvalue problem resulting from Maxwell´s equations in the case of a planar optical waveguide homogeneous in one coordinate direction. The discretization scheme provides a full-vector solution for lossy or anisotropic media. It is possible to calculate higher order eigenmodes. The multigrid algorithm turns out to be a very powerful tool to find the solution in a short time with a moderate need of storage capacity even for very fine discretizations. This is demonstrated for the case of a rib waveguide.

Keywords

Maxwell equations; differential equations; eigenvalues and eigenfunctions; optical planar waveguides; optical waveguide theory; rib waveguides; vectors; Maxwell equations; anisotropic media; discretization scheme; discretized eigenvalue problem; full-vector solution; higher order eigenmodes; homogeneous waveguide; lossy media; mode calculation; multigrid algorithm; multigrid eigenvalue solver; planar optical waveguides; rib waveguide; storage capacity; very fine discretizations; Anisotropic magnetoresistance; Dielectric materials; Eigenvalues and eigenfunctions; Electromagnetic waveguides; Magnetic materials; Maxwell equations; Optical planar waveguides; Optical waveguide theory; Optical waveguides; Planar waveguides;

fLanguage

English

Journal_Title

Photonics Technology Letters, IEEE

Publisher

ieee

ISSN

1041-1135

Type

jour

DOI

10.1109/68.593368

Filename

593368