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Tight-binding method modelling of photonic crystal waveguides

  • M. Le Vassor D’yerville
  • D. Monge
  • D. Cassagne
  • J. P. Albert
Article

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.

Key words

photonic band gap photonic crystal tight-binding Wannier function waveguide 

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Copyright information

© Kluwer Academic Publishers 2002

Authors and Affiliations

  • M. Le Vassor D’yerville
    • 1
  • D. Monge
    • 1
  • D. Cassagne
    • 1
  • J. P. Albert
    • 1
  1. 1.Groupe d’Etude des Semiconducteurs, UMR 5650 du CNRS, CC074Université Montpellier IIMontpellier Cedex 05France

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