Time-Reversal of Nonlinear Waves - Applicability and Limitations
Time-Reversal of Nonlinear Waves - Applicability and Limitations
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DOI：
10.1103/physrevfluids.1.054302
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发表时间：
2016-03
期刊：
影响因子：
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通讯作者：
G. Ducrozet;M. Fink;A. Chabchoub
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文献类型：
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作者：
G. Ducrozet;M. Fink;A. Chabchoub
波的时间反演重聚焦是波动物理的基本原理之一。使用TR方法，“时间反转镜”可以物理地创建一个时间反转的波，在空间和时间上精确地重新聚焦回到其原始源，而不管介质的复杂性，就像时间在倒退一样。最近的实验证明，这种方法不仅可以应用于声学和电磁学领域，而且可以应用于线性和非线性水波领域。研究TR方法的有效性和局限性的范围可以确定和量化其在流体力学中的适用范围。在这种情况下，我们报告了一个数值研究的水动力TR使用单向数值波槽，实现了非线性高阶谱方法，已知的精确模拟的物理过程在发挥作用，超出物理实验室的限制。TR方法的适用性进行了评估，在各种流体动力学本地化和脉动结构的配置，指出高阶色散，特别是非线性效应的流体动力学稳定包络孤子和呼吸子的重聚焦的重要性。我们希望，这些结果可能会激励类似的实验在其他非线性色散介质，并鼓励特别强调海洋工程领域的几个应用。
Time-reversal (TR) refocusing of waves is one of fundamental principles in wave physics. Using the TR approach, "Time-reversal mirrors" can physically create a time-reversed wave that exactly refocus back, in space and time, to its original source regardless of the complexity of the medium as if time were going backwards. Lately, laboratory experiments proved that this approach can be applied not only in acoustics and electromagnetism but also in the field of linear and nonlinear water waves. Studying the range of validity and limitations of the TR approach may determine and quantify its range of applicability in hydrodynamics. In this context, we report a numerical study of hydrodynamic TR using a uni-directional numerical wave tank, implemented by the nonlinear high-order spectral method, known to accurately model the physical processes at play, beyond physical laboratory restrictions. The applicability of the TR approach is assessed over a variety of hydrodynamic localized and pulsating structures' configurations, pointing out the importance of high-order dispersive and particularly nonlinear effects in the refocusing of hydrodynamic stationary envelope solitons and breathers. We expect that the results may motivate similar experiments in other nonlinear dispersive media and encourage several applications with particular emphasis on the field of ocean engineering.