Quasicrystal structure in metamaterial regime

We consider three types of quasicrystal lattices based on the Penrose tiling. We analyze the structural factor of quasicrystal structure and compared it with the structural factor of periodic lattices. By using simulation of a Gaussian beam propagation through the quasicrystal structure we obtain a homogeneous field distribution confirms possibility of the metamaterial regime in a quasicrystal structure.