Metamaterial Regime in Quasicrystal Structure

Quasicrystals are aperiodic ordered structures without translational symmetry, but with rotational symmetry and long-range order. The study of photonic quasicrystals and other aperiodic structures shows that interference plays an important role in the formation of the optical properties of photonic aperiodic structures, that is, quasicrystals can be used for devices based on optical interference. We demonstrate ways to construct quasicrystal structeres based on Penrose tiling with pentagonal symmetry and tiling with octagonal symmetry. Also we demonstrated that a metamaterial with a resonance dependence µ
eff
can be created from dielectric rods located at nodes of a quasicrystal structure with pentagonal and octagonal symmetry.