High-Quality Resonances in Quasi-Periodic Clusters of Scatterers for Flexural Waves

التفاصيل البيبلوغرافية
العنوان: High-Quality Resonances in Quasi-Periodic Clusters of Scatterers for Flexural Waves
المؤلفون: Martí-Sabaté, Marc, Guenneau, Sébastien, Torrent, Dani
سنة النشر: 2022
المجموعة: Nonlinear Sciences
Physics (Other)
مصطلحات موضوعية: Physics - Classical Physics, Nonlinear Sciences - Pattern Formation and Solitons
الوصف: 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 moir\'e 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.
نوع الوثيقة: Working Paper
DOI: 10.1063/5.0098239
URL الوصول: http://arxiv.org/abs/2205.15038
رقم الأكسشن: edsarx.2205.15038
قاعدة البيانات: arXiv