标题： 准周期散射体簇中弯曲波的高质量共振 显示英文标题

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

摘要： 多散射理论被应用于研究附着在薄弹性板上的点状散射体簇，这些散射体以准周期分布排列。 具体考虑了两种结构：扭曲双层结构和准周期线结构。 前者由两个二维晶格组成，这两个晶格以相对角度旋转，使得簇形成莫尔图案。 后者可以看作是一个一维周期性晶格，其中叠加了一个不共轭调制。 多散射理论允许快速有效地计算这些结构的共振模式及其品质因数，本文对其进行了深入分析。 结果表明，准周期结构具有高密度态和高品质因数，因此是设计高品质波局域化器件的一种有前景的方法。 显示英文摘要

摘要： 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.