Tight-binding parameterization for photonic band gap materials

Details Tight-binding parameterization for photonic band gap materials Tight-binding parameterization for photonic band gap materials

1998-03-31

arxiv.org/abs/cond-mat/9803391v1

Physics

Condensed Matter

Disordered Systems and Neural Networks

4 pages, 3 postscript figures, sumbitted to Phys. rev. Lett

Scientific paper

10.1103/PhysRevLett.81.1405

The ideas of the linear combination of atomic orbitals (LCAO) 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 localized eigenstates 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, thus proving that the obtained TB parameters can be used to study other properties of the photonic band gap materials.

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