2007/12/31 by R. A. Sepkhanov, C. W. J. Beenakker · 20 citations
Engineering · Physics and Astronomy · #Bloch wave #Computational physics #Condensed matter physics #Electronic band structure #Geometry #Optics #Photon #Photonic Crystals and Applications #Photonic crystal #Physics #Plasmonic and Surface Plasmon Research #Scaling #Scattering #Singularity #Thermal Radiation and Cooling Technologies #cond-mat.other #physics.optics
paper · pdf · doi:10.1016/j.optcom.2008.07.017
published in Optics Communications 281(20), 5267-5270 (Elsevier BV) · 4 pages, 7 figures. Figure added
arxiv created 2008/07/11 · openalex publication_date 2008/07/31 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05
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.