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

An investigation of electroelastic bandgap formation in locally resonant piezoelectric metastructures

“…More recently, shunt damping techniques have been employed in conjunction with locally resonant metamaterial concepts, using many piezoelectric elements on a structure to create bandgaps, or frequency ranges in which vibration disturbances will not propagate through the structure. In analogy with structures using many mechanical resonators [17,18], structures employing many resonant shunt circuits can display 'locally resonant' bandgaps at wavelengths much larger than the lattice size [19][20][21][22][23], enabling the formation of low-frequency bandgaps in structures for wideband vibration and/or sound attenuation.…”

Piezoelectric superlattice: From piezoelectric to Huang-Kun-like equations

“…[20][21][22][23][24][25] The effect can be extended from the periodic to quasi-periodic structures 26 or from one-dimensional (1D) to two-dimensional systems. [27][28][29] In addition, similar effects can also be revealed with the piezomagnetic superlattice or composite PSL-semiconductor structures. 30,31 These results are useful for controlling the propagation of EM and acoustic waves and might find potential applications in designing deep-subwavelength microwave devices.…”

“…The results show that the PSL can be used to mimic the optical properties of classic lattices, thus generating many theoretical and experimental interests. [21][22][23][24][25][26][27][28][29][30][31][32] Nonetheless, up to date, the detailed relationship between the piezoelectric and HK-like equations has not been established directly and clearly. Moreover, it is not clear whether this link holds in the case of longitudinal superlattice vibration, where the positive and negative domains are aligned side-by-side and the original 1D atom chain model is not applicable.…”

Monolithic Phononic Crystals with a Surface Acoustic Band Gap from Surface Phonon-Polariton Coupling

“…While there have been a number of studies on phononpolariton interactions in similar materials in 1D [21][22][23] and 2D structures [24][25][26] in the past, none of these papers pertain to phonon-polariton coupling for complete bulk phononic band gaps and, even more so, for complete SAW band gaps. So, in this Letter, we propose a new way to achieve a complete SAW band gap through phononpolariton coupling in 2D structures that is formed, rather fascinatingly, without any material contrast required except that in the regular, spatial reversal of the piezoelectric coupling tensor.…”