Numerical test of the theory of pseudo-diffusive transmission at the Dirac point of a photonic band structure
| dc.creator | Sepkhanov, R. A. | |
| dc.creator | Beenakker, C. W. J. | |
| dc.date | 2007-12-07 | |
| dc.date | 2008-07-11 | |
| dc.date.accessioned | 2026-07-07T10:00:07Z | |
| dc.date.available | 2026-07-07T10:00:07Z | |
| dc.description | 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. | |
| dc.description | 4 pages, 7 figures. Figure added | |
| dc.identifier | https://arxiv.org/abs/0712.1158 | |
| dc.identifier | http://arxiv.org/abs/0712.1158 | |
| dc.identifier | Opt. Commun. 281, 5267 (2008) | |
| dc.identifier | doi:10.1016/j.optcom.2008.07.017 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/168248 | |
| dc.subject | Optics | |
| dc.subject | Other Condensed Matter | |
| dc.title | Numerical test of the theory of pseudo-diffusive transmission at the Dirac point of a photonic band structure | |
| dc.type | text |