High-Quality Resonances in Quasi-Periodic Clusters of Scatterers for Flexural Waves
arXiv:2205.15038 · doi:10.1063/5.0098239
Abstract
Multiple scattering theory is applied to the study of clusters of point-like scatterers attached to a thin elastic plate and arranged in quasi-periodic distributions. Two type of structures are specifically considered: the twisted bilayer and the quasi-periodic line. The former consists in a couple of two-dimensional lattices rotated a relative angle, so that the cluster forms a moiré pattern. The latter can be seen as a periodic one-dimensional lattice where an incommensurate modulation is superimposed. Multiple scattering theory allows for the fast an efficient calculation of the resonant modes of these structures as well as for their quality factor, which is thoroughly analyzed in this work. The results show that quasi-periodic structures present a large density of states with high quality factors, being therefore a promising way for the design of high quality wave-localization devices.
References in corpus (7)
- Topological Photonic Quasicrystals: Fractal Topological Spectrum and Protected Transport
- Hofstadter butterfly of a quasicrystal
- Exploring Topology of 1D Quasiperiodic Metastructures through Modulated LEGO Resonators
- Valley Hall phases in Kagome lattices
- Dipolar localization of waves in twisted phononic crystal plates
- Topological Gaps by Twisting
- Mechanics and dynamics of two-dimensional quasiperiodic composites