Band structure of phononic crystal constructed by Fibonacci super-cell on square lattice
正方点阵上Fibonacci超元胞声子晶体的带结构

Using the plane-wave expansion method, we study the band structure of a phononic crystal with water rods embedded in mercury to form a super-cell according to the two-dimensional Fibonacci array. It is found that each band splits into three sub-bands with the change of quasilattice constants and there exist intermediate states, which reflect the peculiar properties of quasiperiodic systems.