Effective Dielectric Constants of Photonic Crystal of Aligned Anisotropic Cylinders: Application to the Optical Response of Periodic Array of Carbon Nanotubes

摘要

We calculate the static dielectric tensor of a periodic system of alignedanisotropic dielectric cylinders. Exact analytical formulas for the effectivedielectric constants for the E- and H- eigenmodes are obtained for arbitrary 2DBravais lattice and arbitrary cross-section of anisotropic cylinders. It isshown that depending on the symmetry of the unit cell photonic crystal ofanisotropic cylinders behaves in the low-frequency limit like uniaxial orbiaxial natural crystal. The developed theory of homogenization of anisotropiccylinders is applied for calculations of the dielectric properties of photoniccrystals of carbon nanotubes.