31 March 2005 FEM modeling of 3D photonic crystals and photonic crystal waveguides
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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.
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Sven Burger, Sven Burger, Roland Klose, Roland Klose, Achim Schaedle, Achim Schaedle, Frank Schmidt, Frank Schmidt, Lin Werner Zschiedrich, 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); doi: 10.1117/12.585895; https://doi.org/10.1117/12.585895
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