Study on the Factor Parameters of the First Complete Band Gap in Phononic Crystal

The first complete band gap of two-dimensional phononic crystal were studied based on the plane wave expansion method,and XY mode band gap characteristics of different matrix and scattering parameters were simulated. The results show that the first complete band gaps can be improved with increasing the ratio of the density between the scatter and of matrix. The relationship between the different parameters for the lattice structure and the filling ratio were also studied. The filling rate of the triangular lattice is higher than the square lattice,so the wider band gap was achieved for the triangular lattice. These results provide theoretical basis for the design of phononic crystal devices.