论文标题
拓扑二维Su-Schrieffer-Heeger模拟声学网络：拐角和角诱导模式的全面反射
Topological two-dimensional Su-Schrieffer-Heeger analogue acoustic networks: Total reflection at corners and corner induced modes
论文作者
论文摘要
在这项工作中，我们研究了二维Su-Schrieffer-Heeger模型的声学类似物的某些方面。该系统由在方形网络中连接的交替横截面管组成，在窄管的极限中，它通过与二维Su-Schrieffer-Heeger模型相吻合的离散模型来描述。已知该模型可以容纳拓扑边缘波，我们开发了一种散射理论，可以分析这些波在边缘结构上的散射如何变化。我们表明，当散射在角落上时，这些边缘波会经过完美的反射，偶然导致了一种构建角模式的新方法。结果表明，对于诸如步骤或缺陷之类的广泛边缘变化，反射很高。然后，我们研究这种高反射率对有限网络的后果。在全球范围内，似乎边缘的每个直线部分被角或缺陷隔开，托管与附近隔离的局部边缘模式。
In this work, we investigate some aspects of an acoustic analogue of the two-dimensional Su-Schrieffer-Heeger model. The system is composed of alternating cross-section tubes connected in a square network, which in the limit of narrow tubes is described by a discrete model coinciding with the two-dimensional Su-Schrieffer-Heeger model. This model is known to host topological edge waves, and we develop a scattering theory to analyze how these waves scatter on edge structure changes. We show that these edge waves undergo a perfect reflection when scattering on a corner, incidentally leading to a new way of constructing corner modes. It is shown that reflection is high for a broad class of edge changes such as steps or defects. We then study consequences of this high reflectivity on finite networks. Globally, it appears that each straight part of edges, separated by corners or defects, hosts localized edge modes isolated from their neighbourhood.
