Models and general wave properties of two-dimensional acoustic metamaterials and media

Abstract

For two-dimensional linear acoustic metamaterials and media represented in the form of periodic structures made of complex cells, a general model is proposed, formulas are derived for the effective parameters and energy characteristics, and the restrictions imposed on such media are formulated. They are divided into four main types, differing in general wave properties; the differentiating features of each type are shown. Several new schemes of negative and hyperbolic types of discrete and continuous metamaterials are presented, for which the dispersion dependences are constructed and the corresponding “wave” equations are written.