Three-component elastic wave band-gap material

Using multiple-scattering theory, we consider the elastic wave band-gap properties of three-component composites consisting of a periodic arrangement of coated spheres inside an embedding medium. We found that the elastic wave band-gap properties can be tuned continuously from a resonance gap to a Bragg gap just by varying the elastic properties of one component. If the coating material is soft compared to the core and the matrix, the elastic wave band gap is essentially a resonance gap. If the coating material is stiff, the elastic wave gap is derived from Bragg scattering. These systems are ideal for realizing elastic wave gap and wave localization as well as understanding the underlying mechanism.