Tight-binding method modelling of photonic crystal waveguides |
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Authors: | M. Le Vassor D'yerville D. Monge D. Cassagne J.P. Albert |
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Affiliation: | (1) Groupe d'Etude des Semiconducteurs, Université Montpellier II, Place E. Bataillon, UMR 5650 du CNRS, CC074, 34095 Montpellier Cedex 05, France |
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Abstract: | We present here a tight-binding-like modelling of two-dimensional (2D) photonic crystals (PCs). Adopted from solid-state physics, the concept of generalized Wannier functions is used to construct a localized state basis that allows a parameter-free ab initio study of defects in PCs. We demonstrate here for a 2D triangular lattice of dielectric rods in air, the existence of this localized basis and the possibility to study large scale complex dielectric structures deviating from periodicity. Specific numerical simulations on a split waveguide embedded in this triangular lattice are performed, and they demonstrate the superiority of this method over plane wave based techniques. |
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Keywords: | photonic band gap photonic crystal tight-binding Wannier function waveguide |
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