Numerical test of the theory of pseudo-diffusive transmission at the Dirac point of a photonic band structure

Details Numerical test of the theory of pseudo-diffusive transmission at the Dirac point of a photonic band structure Numerical test of the theory of pseudo-diffusive transmission at the Dirac point of a photonic band structure

2007-12-07

arxiv.org/abs/0712.1158v3

Opt. Commun. 281, 5267 (2008)

Physics

Optics

4 pages, 7 figures. Figure added

Scientific paper

10.1016/j.optcom.2008.07.017

It has recently been predicted that a conical singularity (= Dirac point) in the band structure of a photonic crystal produces an unusual 1/L scaling of the photon flux transmitted through a slab of thickness L. This inverse-linear scaling is unusual, because it is characteristic of radiative transport via diffusion modes through a disordered medium -- while here it appears for propagation of Bloch modes in an ideal crystal without any disorder. We present a quantitative numerical test of the predicted scaling, by calculating the scattering of transverse-electric (TE) modes by a two-dimensional triangular lattice of dielectric rods in air. We verify the 1/L scaling and show that the slope differs by less than 10% from the value predicted for maximal coupling of the Bloch modes in the photonic crystal to the plane waves in free space.

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