Index of refraction of a photonic crystal of carbon nanotubes and homogenization of optically anisotropic periodic composites

Carbon nanotubes, quantum wires and Luttinger liquid

Автор(и)

  • L.N. Gumen Universidad Popular Autonoma del Estado de Puebla, 21 Sur, #1103, 72160, Mexico
  • A.A. Krokhin Department of Physics, University of North Texas, P.O. Box 311427, Denton, TX, 76203, USA

DOI:

https://doi.org/10.1063/1.3006391

Ключові слова:

photonic crystal, carbon nanotubes, dielectric constants.

Анотація

We consider the long-wavelength limit for a periodic arrangement of carbon nanotubes. Using the Fourier expansion method we develop an effective-medium theory for photonic crystal of aligned optically anisotropic cylinders. Exact analytical formulas for the effective dielectric constants for the E and H eigenmodes are obtained for arbitrary 2D Bravais lattice and arbitrary cross-section of anisotropic cylinders. It is shown that depending on the symmetry of the unit cell photonic crystal of anisotropic cylinders behaves in the low-frequency limit like uniaxial or biaxial optical crystal. The developed theory of homogenization is in a good agreement with existing experimental results for the dielectric tensor of photonic crystals of carbon nanotubes.

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Опубліковано

2008-09-05

Як цитувати

(1)
Gumen, L.; Krokhin, A. Index of Refraction of a Photonic Crystal of Carbon Nanotubes and Homogenization of Optically Anisotropic Periodic Composites: Carbon Nanotubes, Quantum Wires and Luttinger Liquid. Fiz. Nizk. Temp. 2008, 34, 1072-1080.

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