论文标题
弯曲波的准周期簇中的高质量共振
High-Quality Resonances in Quasi-Periodic Clusters of Scatterers for Flexural Waves
论文作者
论文摘要
多个散射理论应用于附着在薄弹性板上并在准周期分布中的点状散射器的簇。特定考虑了两种类型的结构：扭曲的双层和准周期线。前者由几个二维晶格组成，旋转一个相对角度，因此簇形成了moiré图案。后者可以看作是一个周期性的一维晶格，在该晶格中，不夸张的调制被叠加。多个散射理论可以快速对这些结构的谐振模式以及它们的质量因子进行有效计算，这在这项工作中得到了彻底的分析。结果表明，准周期结构具有高质量因素的大密度，因此是设计高质量波浪定位设备的有希望的方法。
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.
