Long-range resonator-based metamaterials

This work examines the possibility of developing a class of long-range metamaterials in which the long-range operators are resonator units, like those in the context of locally resonant acoustic metamaterials. Through a simple example, it is demonstrated how a long-range resonator-based metamaterial captures interesting characteristics, stemmed from concepts such as local resonance and distant communication. A long-range superstructure composed of single-degree-of-freedom resonator units is coupled with a conventional one-dimensional waveguide, acting as the host structure. The plane wave analysis of the system suggests the generation of one complete bandgap and the conditions which induce the achievement of backward travelling wave packets. Moreover, it highlights how these phenomena are ruled by only two nondimensional parameters, and the appropriate tailoring of the mechanical properties of the system and the intensity of the long-range forces is a means to tune these emerging effects.