Topological water wave states in a one-dimensional structure.
Topological water wave states in a one-dimensional structure.
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DOI：
10.1038/srep29202
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发表时间：
2016-07-04
影响因子：
4.6
通讯作者：
Zhang B
中科院分区：
文献类型：
--
作者：
Yang Z;Gao F;Zhang B
拓扑概念已经被引入到电子、光子和声子系统中，但还没有在表面水波系统中进行研究。本文研究了一维周期共振表面波系统，并证明了它的拓扑转变。通过选择三种不同的水深，我们可以构建不同类型的水波--浅水波、中水波和深水波。周期性的表面水波系统由一系列的圆柱形水箱与狭窄的水通道连接组成。随着连接通道宽度的变化，能带图发生拓扑转变，并进一步用Zak相表征。这种拓扑转变适用于浅水波、中波和深水波。然而，在分离两个拓扑不同的水箱阵列的边界处的界面状态可以表现出不同的波段，用于浅水波、中波和深水波。我们的工作首次研究了水波系统的拓扑性质，并为水波的潜在管理铺平了道路。
Topological concepts have been introduced into electronic, photonic, and phononic systems, but have not been studied in surface-water-wave systems. Here we study a one-dimensional periodic resonant surface-water-wave system and demonstrate its topological transition. By selecting three different water depths, we can construct different types of water waves - shallow, intermediate and deep water waves. The periodic surface-water-wave system consists of an array of cylindrical water tanks connected with narrow water channels. As the width of connecting channel varies, the band diagram undergoes a topological transition which can be further characterized by Zak phase. This topological transition holds true for shallow, intermediate and deep water waves. However, the interface state at the boundary separating two topologically distinct arrays of water tanks can exhibit different bands for shallow, intermediate and deep water waves. Our work studies for the first time topological properties of water wave systems, and paves the way to potential management of water waves.