Photonic band gap structure of the three-dimensional aproximants quasicrystal

For the first time, the band structure of three-dimensional cubic photonic approximants of quasicrystals is studied theoretically. The approximants of different orders are found to have large, near-isotropic band gaps in a wide range of permittivity values. The effect of atom coordination on the size and threshold of the photonic band gap is explored. The existence of a complete band gap in the cubic photonic quasicrystal with a body-centered six-dimensional lattice is demonstrated.