Photonic Crystal Lens: From Negative Refraction and Negative Index to Negative Permittivity and Permeability

Abstract

We consider a dielectric photonic crystal made of cylindrical holes in a high index matrix. We show that a given finite size photonic crystal can mimic a homogeneous material whose permittivity and permeability are negative. We pay attention to the limitation of the homogeneous medium model and the vital role of the truncation of the crystal.