Allison F J P, Selsil Ö, Haslinger S G
Department of Mathematical Sciences, University of Liverpool, Liverpool L69 7ZL, UK.
Philos Trans A Math Phys Eng Sci. 2022 Nov 28;380(2237):20220072. doi: 10.1098/rsta.2022.0072. Epub 2022 Oct 10.
We present an active exterior cloak for flexural waves propagating in a Kirchhoff plate of infinite extent. The evanescent multipole devices are characterized by Macdonald functions [Formula: see text] of the required order, which, assuming time-harmonic vibrations, are solutions of the fourth-order biharmonic equation. It is shown that in the region of interfering waves, which emanate from the devices, a field is recreated which cancels the incident wave to yield a region of 'stillness'. An inclusion is then positioned in this region for further investigation, with additional attention given to the boundary condition. This article is part of the theme issue 'Wave generation and transmission in multi-scale complex media and structured metamaterials (part 2)'.
我们展示了一种用于在无限大基尔霍夫板中传播的弯曲波的有源外部隐身衣。倏逝多极子器件由所需阶数的麦克唐纳函数[公式：见原文]表征，假设为时间谐波振动时，这些函数是四阶双调和方程的解。结果表明，在器件发出的干涉波区域中，会重新创建一个场，该场会抵消入射波，从而产生一个“静止”区域。然后将一个内含物放置在该区域进行进一步研究，并特别关注边界条件。本文是主题为“多尺度复杂介质和结构化超材料中的波产生与传输（第2部分）”的一部分。
