FEM Modelling of 3D Photonic Crystals and Photonic Crystal Waveguides

Details FEM Modelling of 3D Photonic Crystals and Photonic Crystal Waveguides FEM Modelling of 3D Photonic Crystals and Photonic Crystal Waveguides

2005-04-08

arxiv.org/abs/physics/0504060v1

Proc. SPIE 5728 (2005) 164-173, (Integrated Optics IX; Y. Sidorin, C. A. Waechter; Eds.)

Physics

Optics

11 pages, including 9 figures

Scientific paper

10.1117/12.585895

We present a finite-element simulation tool for calculating light fields in 3D nano-optical devices. This allows to solve challenging problems on a standard personal computer. We present solutions to eigenvalue problems, like Bloch-type eigenvalues in photonic crystals and photonic crystal waveguides, and to scattering problems, like the transmission through finite photonic crystals. The discretization is based on unstructured tetrahedral grids with an adaptive grid refinement controlled and steered by an error-estimator. As ansatz functions we use higher order, vectorial elements (Nedelec, edge elements). For a fast convergence of the solution we make use of advanced multi-grid algorithms adapted for the vectorial Maxwell's equations.

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