dorsal/arxiv
View SchemaFEM Modelling of 3D Photonic Crystals and Photonic Crystal Waveguides
| Authors | S. Burger, R. Klose, A. Schaedle, F. Schmidt, L. Zschiedrich |
|---|---|
| Categories | |
| ArXiv ID | physics/0504060 |
| URL | https://arxiv.org/abs/physics/0504060 |
| DOI | 10.1117/12.585895 |
| Journal | Proc. SPIE 5728 (2005) 164-173, (Integrated Optics IX; Y. Sidorin, C. A. Waechter; Eds.) |
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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"abstract": "We present a finite-element simulation tool for calculating light fields in\n3D nano-optical devices. This allows to solve challenging problems on a\nstandard personal computer. We present solutions to eigenvalue problems, like\nBloch-type eigenvalues in photonic crystals and photonic crystal waveguides,\nand to scattering problems, like the transmission through finite photonic\ncrystals.\n The discretization is based on unstructured tetrahedral grids with an\nadaptive grid refinement controlled and steered by an error-estimator. As\nansatz functions we use higher order, vectorial elements (Nedelec, edge\nelements). For a fast convergence of the solution we make use of advanced\nmulti-grid algorithms adapted for the vectorial Maxwell\u0027s equations.",
"arxiv_id": "physics/0504060",
"authors": [
"S. Burger",
"R. Klose",
"A. Schaedle",
"F. Schmidt",
"L. Zschiedrich"
],
"categories": [
"physics.optics",
"physics.comp-ph"
],
"doi": "10.1117/12.585895",
"journal_ref": "Proc. SPIE 5728 (2005) 164-173, (Integrated Optics IX; Y. Sidorin,\n C. A. Waechter; Eds.)",
"title": "FEM Modelling of 3D Photonic Crystals and Photonic Crystal Waveguides",
"url": "https://arxiv.org/abs/physics/0504060"
},
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