The low-frequency complete band gap in a 1D phononic crystal

Abstract

In this paper, we study the band structure of a one-dimensional phononic crystal based on water and silicon materials. The obtained results show complete band gaps, wide up to 74% at low frequency with high attenuation. These properties vary significantly with the inclusions nature variation and the filling fraction. Moreover, the introduction of a new type of resonator, called a C-form resonator, can clearly modify the dispersive characteristics of the medium and gives a band diagram with two types of gaps, one due or local resonance phenomenon and the second due to Bragg scattering. The result obtained offers a potential of application in several fields such as underwater guidance and filtering.