Dipolar Localization of Waves in Twisted Phononic Crystal Plates

Abstract

This work studies the propagation of mechanical waves through lattices that form moir\'e patterns. These structures are not periodic, and their analysis generally requires special methods, most of which are based on the theory of quasiperiodic infinite systems, and therefore are not suitable for finite manufactured structures. To attain a deeper understanding of the underlying physics of moir\'e patterns, the authors study these complex structures using multiple-scattering theory, which is more suitable for small samples. This study offers fresh perspective in the analysis of quasiperiodic materials in general, with special emphasis on twisted bilayers.

Topics & Concepts