THE IMPACT OF PARAMETERS FOR ELASTIC WAVES IN A PHONONIC CRYSTAL LAYER COATED ON HALF-INFINITE UNIFORM SUBSTRATE

摘要

In this paper, we make a great effort to find out the impact of parameters for elastic wave propagation in a plate with a phononic crystal layer coated on half-infinite uniform substrate by the method of plane wave expansion, and the characteristic or the position of the band structure. In calculation, a phononic crystal consisting of circular steel cylinders that form a square lattice in a silicon matrix is considered as the layer and the substrate is formed by silicon. Our results show that there exist distinct band gaps when the substrate is correspondingly soft and infinite. The stop band of the system is demonstrated. Parameters that influence the formation of band gaps are stated. We also give a qualitative explanation of the results.