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arXiv 1502.05914physics.class-ph
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完全局部对称有耗声波导中的不变流

Invariant currents in lossy acoustic waveguides with complete local symmetry

P. A. Kalozoumis, O. Richoux, F. K. Diakonos, G. Theocharis, P. Schmelcher

摘要:

我们在有耗声波导中实现了完全局部对称的概念。尽管存在的损失,存在的空间不变的电流理论上和实验观察。我们演示了如何不变的电流导致广义的布洛赫和宇称定理定义对称相关的空间域之间的压力场映射的有损耗的系统。使用实验数据,我们验证了这种映射具有显着的精度。对于所进行的实验,我们采用了一种基于局部对称性的构造技术,该技术允许在无损情况下设计具有规定的完美传输谐振的设置。我们的研究结果揭示了对称性在有限空间域中的基本作用,并清楚地表明,完全局部对称的设备构成了一类很有前途的设置,关于波传播的操纵。

英文摘要:

We implement the concept of complete local symmetry in lossy acoustic waveguides. Despite the presence of losses, the existence of a spatially invariant current is shown theoretically and observed experimentally. We demonstrate how this invariant current leads to the generalization of the Bloch and parity theorems for lossy systems defining a mapping of the pressure field between symmetry related spatial domains. Using experimental data we verify this mapping with remarkable accuracy. For the performed experiment we employ a construction technique based on local symmetries which allows the design of setups with prescribed perfect transmission resonances in the lossless case. Our results reveal the fundamental role of symmetries in restricted spatial domains and clearly indicate that completely locally symmetric devices constitute a promising class of setups, regarding the manipulation of wave propagation.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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