Gap maps for triangular photonic crystals with a dispersive and absorbing component

Andreas Rung, Carl G. Ribbing, and Min Qiu
Phys. Rev. B 72, 205120 – Published 18 November 2005

Abstract

Some consequences of a strong lattice resonance in the working frequency region of a 2D photonic crystal are investigated. It opens for two kinds of gaps in the dispersion relations: structure gaps and a polaritonic gap. A transverse optical oscillator model for ceramic beryllium oxide has been used to simulate the dielectric function of the polaritonic medium. The effective index of refraction is different on either side of the resonance, which causes BeO to act both as a high index material and a low index material. Gap maps for two kinds of triangular structures were calculated: BeO cylinders in air or in a high-index, nondispersive dielectric. These gap maps show appearance and disappearance of the transverse electric, transverse magnetic, and complete structure gaps as function of the packing fraction ra, and the lattice constant a. The results illustrate the importance of whether the dielectric or the polaritonic material has the higher effective dielectric function. The effects of absorption, included by the damping parameter of the oscillator model, are briefly discussed.

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  • Received 25 April 2005

DOI:https://doi.org/10.1103/PhysRevB.72.205120

©2005 American Physical Society

Authors & Affiliations

Andreas Rung1, Carl G. Ribbing1, and Min Qiu2

  • 1Division of Solid State Physics, Department of Engineering Science, Uppsala University, Uppsala, Sweden and Department of Functional Materials, Division of Sensor Technology, Swedish Defence Research Agency, Linköping, Sweden
  • 2Laboratory of Optics, Photonics and Quantum Electronics, Department of Microelectronics and Information Technology (IMIT), Royal Institute of Technology, Electrum 229, 164 40 Kista, Sweden

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Vol. 72, Iss. 20 — 15 November 2005

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