Tight-Binding Parametrization for Photonic Band Gap Materials

E. Lidorikis, M. M. Sigalas, E. N. Economou, and C. M. Soukoulis
Phys. Rev. Lett. 81, 1405 – Published 17 August 1998
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Abstract

The idea of the linear combination of atomic orbitals method, well known from the study of electrons, is extended to the classical wave case. The Mie resonances of the isolated scatterer in the classical wave case are analogous to the atomic orbitals in the electronic case. The matrix elements of the two-dimensional tight-binding (TB) Hamiltonian are obtained by fitting to ab initio results. The transferability of the TB model is tested by reproducing accurately the band structure of different 2D lattices, with and without defects, and at two different dielectric contrasts.

  • Received 10 March 1998

DOI:https://doi.org/10.1103/PhysRevLett.81.1405

©1998 American Physical Society

Authors & Affiliations

E. Lidorikis1, M. M. Sigalas1, E. N. Economou2, and C. M. Soukoulis1,2

  • 1Ames Laboratory–U.S. DOE and Department of Physics and Astronomy, Iowa State University, Ames, Iowa 50011
  • 2Research Center of Crete-FORTH and Department of Physics, University of Crete, Heraklio, Crete 71110, Greece

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Vol. 81, Iss. 7 — 17 August 1998

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