Strong dipolar interaction in aperiodic Twisted Phononic Crystal Plates – METAMATERIALS 2021

Localization of waves is studied by means of multiple scattering theory in a (2D) arrangement configuration. Studied structures belong to the so called twisted lattices. Results found show that, for a given frequency, there are localized modes for a discrete set of rotation angles, analogous to the recently studied angles for 2D materials such as graphene. The properties of these clusters whenever the rotation angle approaches a commensurable angle or a really small one are related to the dipolar interaction between scatterers. While the presented results are valid for any type of wave, flexural waves in thin elastic plates have been numerically studied and successfully explained in terms of the interaction between pairs of scatterers. The studied structures are shown as promising candidates for the design of tunable wave-trapping devices.