Active exterior cloaking of an inclusion with evanescent multipole devices for flexural waves in thin plates



Allison, FJP ORCID: 0000-0003-4390-9997, Selsil, O and Haslinger, SG ORCID: 0000-0003-0790-1701
(2022) Active exterior cloaking of an inclusion with evanescent multipole devices for flexural waves in thin plates. PHILOSOPHICAL TRANSACTIONS OF THE ROYAL SOCIETY A-MATHEMATICAL PHYSICAL AND ENGINEERING SCIENCES, 380 (2237). 20220072-.

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Abstract

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)'.

Item Type: Article
Uncontrolled Keywords: active cloaking, evanescent devices, flexural waves, cloaking, elastic plate, multipole devices
Divisions: Faculty of Science and Engineering > School of Physical Sciences
Depositing User: Symplectic Admin
Date Deposited: 23 May 2022 15:21
Last Modified: 18 Jan 2023 21:01
DOI: 10.1098/rsta.2022.0072
Related URLs:
URI: https://livrepository.liverpool.ac.uk/id/eprint/3155253