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Modeling Two-dimensional Anisotropic Photonic Crystals by Dirichlet-to-Neumann Maps

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Abstract

For two-dimensional photonic crystals involving anisotropic media and circular cylinders, we derive analytic solutions in the unit cells and use them to construct the Dirichlet-to-Neumann (DtN) maps. For triangular lattices, we also develop new eigenvalue problem formulations for band structure analysis that produce smaller matrices.

© 2009 Optical Society of America

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