Fast Light and Focusing in 2D Photonic Quasicrystals

Abstract

We present numerical studies of the electromagnetic wave propagation in a meta- material built from dielectric rods. The rods were arranged in a quasicrystalline lattice based on 10-fold Penrose tiling. We flnd wide isotropic band gaps and localized states, as expected in a quasicrystalline lattice. Our most important flnding is the presence of the band gap edge states that are characterized by a very small refractive index (fast light). We use this phenomenon to design a focusing device | a plano-concave lens.