Focusing higher-order Lamb waves based on the Luneburg lens

In order to improve the spatial resolution and the signal-to-noise ratio of Lamb waves in structural health monitoring systems or non-destructive testing techniques, this study presents the construction of Luneburg lenses for focusing higher-order Lamb waves based on the thickness variation. The dis...

Full description

Bibliographic Details
Main Authors: Tianming Ye, Shengzeng Zhou, Xuanmin Du, Jiaqi Liu
Format: Article
Language:English
Published: Frontiers Media S.A. 2023-04-01
Series:Frontiers in Physics
Subjects:
Online Access:https://www.frontiersin.org/articles/10.3389/fphy.2023.1128265/full
_version_ 1797843235346841600
author Tianming Ye
Tianming Ye
Shengzeng Zhou
Shengzeng Zhou
Xuanmin Du
Xuanmin Du
Jiaqi Liu
Jiaqi Liu
author_facet Tianming Ye
Tianming Ye
Shengzeng Zhou
Shengzeng Zhou
Xuanmin Du
Xuanmin Du
Jiaqi Liu
Jiaqi Liu
author_sort Tianming Ye
collection DOAJ
description In order to improve the spatial resolution and the signal-to-noise ratio of Lamb waves in structural health monitoring systems or non-destructive testing techniques, this study presents the construction of Luneburg lenses for focusing higher-order Lamb waves based on the thickness variation. The dispersion curves of Lamb waves are calculated firstly, from which the relation between the phase velocity of a specific mode and the plate thickness is quantified. After that, the plate thickness is determined via the refractive index variation. To demonstrate the generality of this design scheme, two lenses, i.e., the A1-wave-based Luneburg lens and the S2-wave-based Luneburg lens are constructed, and their focusing abilities are examined via numerical simulations in both the time domain and frequency domain. It is revealed that the A1 wave and S2 wave can be focused with a focusing size smaller than one wavelength. The design methodology is easy to realize and can be used to control higher-order Lamb waves efficiently, which also provides potential application values in wave detections and energy collections.
first_indexed 2024-04-09T17:01:41Z
format Article
id doaj.art-46d69f09fa3e453abf7e7f8756ceb1b2
institution Directory Open Access Journal
issn 2296-424X
language English
last_indexed 2024-04-09T17:01:41Z
publishDate 2023-04-01
publisher Frontiers Media S.A.
record_format Article
series Frontiers in Physics
spelling doaj.art-46d69f09fa3e453abf7e7f8756ceb1b22023-04-21T04:35:35ZengFrontiers Media S.A.Frontiers in Physics2296-424X2023-04-011110.3389/fphy.2023.11282651128265Focusing higher-order Lamb waves based on the Luneburg lensTianming Ye0Tianming Ye1Shengzeng Zhou2Shengzeng Zhou3Xuanmin Du4Xuanmin Du5Jiaqi Liu6Jiaqi Liu7Shanghai Marine Electronic Equipment Research Institute, Shanghai, ChinaNational Key Laboratory of Science and Technology on Underwater Acoustic Antagonizing, Shanghai, ChinaShanghai Marine Electronic Equipment Research Institute, Shanghai, ChinaNational Key Laboratory of Science and Technology on Underwater Acoustic Antagonizing, Shanghai, ChinaShanghai Marine Electronic Equipment Research Institute, Shanghai, ChinaNational Key Laboratory of Science and Technology on Underwater Acoustic Antagonizing, Shanghai, ChinaShanghai Marine Electronic Equipment Research Institute, Shanghai, ChinaNational Key Laboratory of Science and Technology on Underwater Acoustic Antagonizing, Shanghai, ChinaIn order to improve the spatial resolution and the signal-to-noise ratio of Lamb waves in structural health monitoring systems or non-destructive testing techniques, this study presents the construction of Luneburg lenses for focusing higher-order Lamb waves based on the thickness variation. The dispersion curves of Lamb waves are calculated firstly, from which the relation between the phase velocity of a specific mode and the plate thickness is quantified. After that, the plate thickness is determined via the refractive index variation. To demonstrate the generality of this design scheme, two lenses, i.e., the A1-wave-based Luneburg lens and the S2-wave-based Luneburg lens are constructed, and their focusing abilities are examined via numerical simulations in both the time domain and frequency domain. It is revealed that the A1 wave and S2 wave can be focused with a focusing size smaller than one wavelength. The design methodology is easy to realize and can be used to control higher-order Lamb waves efficiently, which also provides potential application values in wave detections and energy collections.https://www.frontiersin.org/articles/10.3389/fphy.2023.1128265/fullhigher-order Lamb wavesLuneburg lensrefractive indexwave focusing phenomenonultrasound
spellingShingle Tianming Ye
Tianming Ye
Shengzeng Zhou
Shengzeng Zhou
Xuanmin Du
Xuanmin Du
Jiaqi Liu
Jiaqi Liu
Focusing higher-order Lamb waves based on the Luneburg lens
Frontiers in Physics
higher-order Lamb waves
Luneburg lens
refractive index
wave focusing phenomenon
ultrasound
title Focusing higher-order Lamb waves based on the Luneburg lens
title_full Focusing higher-order Lamb waves based on the Luneburg lens
title_fullStr Focusing higher-order Lamb waves based on the Luneburg lens
title_full_unstemmed Focusing higher-order Lamb waves based on the Luneburg lens
title_short Focusing higher-order Lamb waves based on the Luneburg lens
title_sort focusing higher order lamb waves based on the luneburg lens
topic higher-order Lamb waves
Luneburg lens
refractive index
wave focusing phenomenon
ultrasound
url https://www.frontiersin.org/articles/10.3389/fphy.2023.1128265/full
work_keys_str_mv AT tianmingye focusinghigherorderlambwavesbasedontheluneburglens
AT tianmingye focusinghigherorderlambwavesbasedontheluneburglens
AT shengzengzhou focusinghigherorderlambwavesbasedontheluneburglens
AT shengzengzhou focusinghigherorderlambwavesbasedontheluneburglens
AT xuanmindu focusinghigherorderlambwavesbasedontheluneburglens
AT xuanmindu focusinghigherorderlambwavesbasedontheluneburglens
AT jiaqiliu focusinghigherorderlambwavesbasedontheluneburglens
AT jiaqiliu focusinghigherorderlambwavesbasedontheluneburglens