具有压电反馈激励的非厄米弹性波导：非互易带和皮肤模式
Non-Hermitian elastic waveguides with piezoelectric feedback actuation: non-reciprocal bands and skin modes
摘要：
在这项工作中，我们研究非厄米弹性波导周期性地施加比例反馈的努力，通过压电传感器和执行器实现。使用一维谱模型的纵向运动，它示出了这个家庭的结构的色散图表现出非互易的虚频分量，表现为沿相反方向的所有通带的波衰减或放大。研究了正、负比例反馈以及局部和非局部驱动的影响。总的来说，切换反馈作用的符号反转放大方向，而增加非局部性的程度产生通带分裂成具有互换的非互易行为的多个频带。此外，皮肤模式局限于有限域的边界进行了研究，并成功地预测了复杂的色散带的缠绕数。这些结果有助于最近的努力，在设计超材料与非厄米特系统的物理学，这可能会发现富有成效的技术应用依赖于振动和噪声控制，波的本地化，过滤和多路复用的新特性。
英文摘要：
In this work, we investigate non-Hermitian elastic waveguides with periodically applied proportional feedback efforts, implemented through piezoelectric sensors and actuators. Using onedimensional spectral models for longitudinal motion, it is shown that dispersion diagrams of this family of structures exhibit non-reciprocal imaginary frequency components, manifesting as wave attenuation or amplification along opposite directions for all pass bands. The effects of positive and negative proportional feedback, as well as local and non-local actuation are investigated. Overall, switching the sign of the feedback effort inverts the amplification direction, while increasing the degree of non-locality produces splitting of the pass bands into multiple bands with interchanging non-reciprocal behavior. Furthermore, skin modes localized at the boundaries of finite domains are investigated and successfully predicted by the winding number of the complex dispersion bands. These results contribute to recent efforts in designing metamaterials with novel properties associated with the physics of non-Hermitian systems, which may find fruitful technological applications relying on vibration and noise control, wave localization, filtering and multiplexing.
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。
