Wave manipulation using a bistable chain with reversible impurities

Wave manipulation using a bistable chain with reversible impurities
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使用具有可逆杂质的双稳态链进行波操纵

DOI:
10.1103/physreve.104.054209
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发表时间:
2021
期刊:
影响因子:
2.4
通讯作者:
Raney, Jordan R.
Raney, Jordan R.
中科院分区:
物理与天体物理3区
文献类型:
--
作者:
Yasuda, Hiromi;Charalampidis, Efstathios G.;Purohit, Prashant K.;Kevrekidis, Panayotis G.;Raney, Jordan R.

文献摘要

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本文系统地研究了线性和非线性波在分段线性弹簧链中的传播。这种双稳态系统是支持非线性波动力学特征(包括过渡波和(超声)孤立波)的理想测试台。我们发现,双链可以支持亚声波包的传播,而亚声波包又可以被捕获的低能量阶段,以诱导能量本地化。这些能量焦点的空间分布强烈地影响线性波的传播,通常引起散射,但在特殊情况下,导致类似于Ramsauer-Townsend效应的无反射模式。此外,我们表明,非线性波的传播可以自发地产生或删除额外的焦点,这是有效的“杂质”。这种行为作为一种新的机制,可逆编程的动态响应的链。
We systematically study linear and nonlinear wave propagation in a chain composed of piecewise-linear bistable springs. Such bistable systems are ideal test beds for supporting nonlinear wave dynamical features including transition and (supersonic) solitary waves. We show that bistable chains can support the propagation of subsonic wave packets which in turn can be trapped by a low-energy phase to induce energy localization. The spatial distribution of these energy foci strongly affects the propagation of linear waves, typically causing scattering, but, in special cases, leading to a reflectionless mode analogous to the Ramsauer-Townsend effect. Furthermore, we show that the propagation of nonlinear waves can spontaneously generate or remove additional foci, which act as effective “impurities.” This behavior serves as a new mechanism for reversibly programming the dynamic response of bistable chains.