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 find wide isotropic band gaps and localized states, as expected in a quasicrystalline lattice. Our most important finding 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.
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