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31 March 2005FEM modeling of 3D photonic crystals and photonic crystal waveguides
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, Roland Klose, Achim Schaedle, Frank Schmidt, 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