Frontal waves and transmissions for temporal laminates and imperfect chiral interfaces
Frontal waves and transmissions for temporal laminates and imperfect chiral interfaces
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DOI：
10.1098/rsta.2021.0385
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发表时间：
2022-03
期刊：
影响因子：
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通讯作者：
A. Movchan;N. Movchan;I. Jones;G. Milton;H. Nguyen
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文献类型：
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作者：
A. Movchan;N. Movchan;I. Jones;G. Milton;H. Nguyen
本文对具有时空周期性的结构中的波型进行了分析。本文还讨论了不完全手性界面的问题。虽然因果关系是物理过程的基础，但当波在时间界面上分裂时，可以观察到自然波现象。波在空间界面处分裂是更常见的现象；然而，当控制方程的系数与时间相关时，时间界面变得重要。在这里，研究了相关的锋面波，并分析了发现溶液随时间增长的情况。对于手性弹性系统的矢量情况，也考虑了位移不连续的不完美界面。给出了解析研究和渐近逼近的数值例子。本文是主题“多尺度复杂介质和结构超材料中的波的产生和传播（第一部分）”的一部分。
The analysis of wave patterns in a structure which possesses periodicity in the spatial and temporal dimensions is presented. The topic of imperfect chiral interfaces is also considered. Although causality is fundamental for physical processes, natural wave phenomena can be observed when a wave is split at a temporal interface. A wave split at a spatial interface is a more common occurrence; however, when the coefficients of the governing equations are time-dependent, the temporal interface becomes important. Here, the associated frontal waves are studied, and regimes are analysed where the growth of the solution in time is found. Imperfect interfaces, across which the displacements are discontinuous, are also considered in the vector case of chiral elastic systems. Analytical study and asymptotic approximations are supplied with illustrative numerical examples. This article is part of the theme issue ‘Wave generation and transmission in multi-scale complex media and structured metamaterials (part 1)’.