Title :
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
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;
Conference_Titel :
Numerical Simulation of Optoelectronic Devices, 2005. NUSOD '05. Proceedings of the 5th International Conference on
Print_ISBN :
0-7803-9149-7
DOI :
10.1109/NUSOD.2005.1518135
