Effective dielectric constants of photonic crystal of aligned anisotropic cylinders and the optical response of a periodic array of carbon nanotubes

E. Reyes, A. A. Krokhin, and J. Roberts
Phys. Rev. B 72, 155118 – Published 25 October 2005

Abstract

We calculate the static dielectric tensor of a periodic system of aligned anisotropic dielectric cylinders. Exact analytical formula for the effective dielectric constants for the H-eigenmodes is 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 like uniaxial or biaxial natural crystals. The developed theory of homogenization of anisotropic cylinders is applied for calculations of the dielectric properties of photonic crystals of carbon nanotubes.

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  • Received 16 May 2005

DOI:https://doi.org/10.1103/PhysRevB.72.155118

©2005 American Physical Society

Authors & Affiliations

E. Reyes

  • Instituto de Física, Universidad Autónoma de Puebla, Apartado Postal J-48, Puebla, 72570 Mexico

A. A. Krokhin and J. Roberts

  • Department of Physics, University of North Texas, P.O. Box 311427, Denton, Texas 76203, USA

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Vol. 72, Iss. 15 — 15 October 2005

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