Abstract
The effect of short-range and long-range orientational orders on the optical properties of 12-fold quasiperiodic photonic crystals is studied in this paper. We pick up a quasicrystalline supercell from the quasicrystal and construct two new periodic structures by arranging the supercell into square and triangular lattices. Numerical simulations show that the two periodic structures have very similar transmission properties to the quasiperiodic structure in regard to band and band gap positions, although these three structures have different long-range orientational orders, which are 4-fold, 6-fold, and 12-fold, respectively. In addition, their transmission properties are closely related with the propagation behavior of EM waves through the single building supercell. All these characteristics indicate that the optical properties of quasiperiodic photonic crystals are mainly determined by the local short-range geometric properties of the quasicrystal instead of the long-range orientational order.