A multilevel method for the computation of eigenmodes in 3D photonic crystals

Author

Klose, Roland ; Burger, Sven ; Schmidt, Frank ; Zschiedrich, Lin

Author_Institution

Zuse-Inst., Berlin, Germany

fYear

2005

fDate

19-22 Sept. 2005

Firstpage

61

Lastpage

62

Abstract

We present a multi-level finite-element-eigenmode-solver for the computation of Bloch-type modes in three-dimensional photonic crystals. We adapt the Dohler iteration method to cope with Maxwell-type eigenvalue problems of self-adjoint as well as non-selfadjoint type. Combined with an efficient multigrid method for preconditioning, we can experimentally verify linear complexity in terms of unknowns.

Keywords

differential equations; eigenvalues and eigenfunctions; finite element analysis; iterative methods; optical materials; photonic crystals; 3D photonic crystal; Bloch-type mode computation; Dohler iteration method; Maxwell-type eigenvalue problem; multigrid method; multilevel finite-element-eigenmode-solver; nonselfadjoint type; self-adjoint type; Crystalline materials; Eigenvalues and eigenfunctions; Kernel; Multigrid methods; Optical computing; Optical propagation; Periodic structures; Permittivity; Photonic crystals; Refractive index;

fLanguage

English

Publisher

ieee

Conference_Titel

Numerical Simulation of Optoelectronic Devices, 2005. NUSOD '05. Proceedings of the 5th International Conference on

Print_ISBN

0-7803-9149-7

Type

conf

DOI

10.1109/NUSOD.2005.1518135

Filename

1518135