Piezoelectric superlattices as multi-field internally resonating metamaterials

Abstract

Piezoelectric superlattices are investigated as examples of internally resonating metamaterials. The multi-field coupling characteristics of the considered configuration is identified as the mechanism enabling the generation of the internal resonances, and the related achievement of unusual wave properties. Numerical studies on two-dimensional piezoelectric superlattices illustrate the coupled behavior of this class of periodic systems. In addition, analytical studies developed on the basis of the long wavelength approximation support the interpretation of the coupling as an internally resonant mechanism, and allow the analysis of the influence of lattice topology on the frequencies of internal resonance.