Gap deformation and classical wave localization in disordered two-dimensional photonic band gap materials

Details Gap deformation and classical wave localization in disordered two-dimensional photonic band gap materials Gap deformation and classical wave localization in disordered two-dimensional photonic band gap materials

2000-02-07

arxiv.org/abs/cond-mat/0002101v1

Physics

Condensed Matter

Disordered Systems and Neural Networks

Accepted for publication in Phys. Rev. B

Scientific paper

10.1103/PhysRevB.61.13458

By using two ab initio numerical methods we study the effects that disorder has on the spectral gaps and on wave localization in two-dimensional photonic band gap materials. We find that there are basically two different responses depending on the lattice realization (solid dielectric cylinders in air or vise versa), the wave polarization, and the particular form under which disorder is introduced. Two different pictures for the photonic states are employed, the ``nearly free'' photon and the ``strongly localized'' photon. These originate from the two different mechanisms responsible for the formation of the spectral gaps, ie. multiple scattering and single scatterer resonances, and they qualitatively explain our results.

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