Topological Acoustics
Topological Acoustics
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DOI：
10.1121/at.2021.17.3.13
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发表时间：
2021
期刊：
影响因子：
--
通讯作者：
A. Alú
中科院分区：
文献类型：
--
作者：
A. Alú
拓扑学研究的是几何物体在连续变形下的性质，例如，在没有切割或粘合的情况下。一个有把手的杯子在拓扑上相当于一个甜甜圈（如果你住在纽约，那就是一个百吉饼），因为一种形状可以变形成另一种形状，同时保持它们共同的不变孔。奇异的拓扑形状，如漩涡、结和莫比乌斯带，可以使用拓扑学提供的数学工具进行全局分析。拓扑学和声学之间的联系似乎有些牵强，但最近凝聚态物理和量子力学领域的发展已经激发了令人兴奋的机会，以新的和意想不到的方式基于拓扑学概念来操纵声音。
Introduction The field of topology studies the properties of geometric objects that are preserved under continuous deformations, for example, without cutting or gluing. A cup with a handle is topologically equivalent to a donut (or a bagel if you live in New York) because one shape can be deformed into the other while preserving their common invariant hole. Exotic topological shapes, such as vortices, knots, and mobius strips, can be globally analyzed using the mathematical tools offered by topology. The connection between topology and acoustics may appear far-fetched, yet recent developments in the field of condensed matter physics and quantum mechanics have been inspiring exciting opportunities to manipulate sound in new and unexpected ways based on topological concepts.