Theory of negative index in periodic and random photonic crystals - art. no. 61950I
Résumé
We homogenize a 2D dielectric photonic crystal by means of a multiple scale approach. We show that if the rods constituting the crystal have Mie resonances at large enough wavelengths, the crystal presents an effective permeability exhibiting anomalous dispersion. When embedding in a negative permittivity medium, this leads to a negative index material.