FEM modeling of 3D photonic crystals and photonic crystal waveguides

Sven Burger; Roland Klose; Achim Schaedle; Frank Schmidt; Lin Werner Zschiedrich

doi:10.1117/12.585895

31 March 2005 FEM modeling of 3D photonic crystals and photonic crystal waveguides

Sven Burger, Roland Klose, Achim Schaedle, Frank Schmidt, Lin Werner Zschiedrich

Proceedings Volume 5728, Integrated Optics: Devices, Materials, and Technologies IX; (2005) https://doi.org/10.1117/12.585895
Event: Integrated Optoelectronic Devices 2005, 2005, San Jose, California, United States

Abstract

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.

Citation Download Citation

Sven Burger, Roland Klose, Achim Schaedle, Frank Schmidt, and Lin Werner Zschiedrich "FEM modeling of 3D photonic crystals and photonic crystal waveguides", Proc. SPIE 5728, Integrated Optics: Devices, Materials, and Technologies IX, (31 March 2005); https://doi.org/10.1117/12.585895

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