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Transmission in the vicinity of the Dirac point in hexagonal photonic crystals

TitleTransmission in the vicinity of the Dirac point in hexagonal photonic crystals
Publication TypeJournal Article
Year of Publication2010
AuthorsDiem M, Koschny T, Soukoulis CM
Journal TitlePhysica B-Condensed Matter
Volume405
Pages2990-2995
Date Published07/15
Type of ArticlePhotonics
ISBN Number0921-4526
Accession NumberISI:000279491900020
Keywordsband-gap, diffraction, dirac point, graphene, graphite structure, LATTICE, photonic crystals, scaling, transmittance
Abstract

We use a scattering matrix approach to simulate the transmission through a hexagonal photonic crystal in the vicinity of the Dirac point. If the crystal is oriented so that the propagation direction perpendicular to the surface corresponds to the Gamma K direction, no oblique transmission is possible for a very long (infinite) structure. For a finite structure with width, W, and length, L, the length dependence of the transmission is given by T-total = Gamma W-0/L. For T-total all waves with a wavevector parallel to the surface, k(parallel to) = n2 pi/W, described by a channel number, n, must be considered. We show the transmission at the Dirac point follows the given scaling law and this scaling law is related to the behavior of the individual channels. This leads to the establishment of a criterion for the maximum length for this scaling behavior when the total transmission reaches a constant value. We also compare this scaling behavior to the results in other frequency regions. (C) 2010 Elsevier B.V. All rights reserved.
URL<Go to ISI>://000279491900020
DOI10.1016/J.Physb.2010.01.020