Willis coupling in water waves
For mechanical waves, Willis coupling means a cross-coupling between stress and velocity or between momentum and strain. In contrary to its realization in acoustic and elastic waves, whether Willis coupling exists in water waves, as another kind of mechanical wave, is still unknown. Here, we propose...
| Main Authors: | , , , , |
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| Format: | Article |
| Language: | English |
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IOP Publishing
2021-01-01
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| Series: | New Journal of Physics |
| Subjects: | |
| Online Access: | https://doi.org/10.1088/1367-2630/ac0b7d |
| _version_ | 1797750132074086400 |
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| author | Yan Meng Yiran Hao Sébastien Guenneau Shubo Wang Jensen Li |
| author_facet | Yan Meng Yiran Hao Sébastien Guenneau Shubo Wang Jensen Li |
| author_sort | Yan Meng |
| collection | DOAJ |
| description | For mechanical waves, Willis coupling means a cross-coupling between stress and velocity or between momentum and strain. In contrary to its realization in acoustic and elastic waves, whether Willis coupling exists in water waves, as another kind of mechanical wave, is still unknown. Here, we propose and establish the concept of Willis coupling in water waves as the cross-coupling between the horizontal velocity at the free surface and the acceleration potential or between the vertical displacement of the water free surface and the flux. Thanks to the surface wave feature of water waves, the proposed metamaterial’s resonating conditions can be tuned by using the wave shoaling effect. With a proper three-dimensional design, Willis coupling can still have significant effects with resonance in the long-wavelength regime. Furthermore, by adding loss in the Willis metamaterial, asymmetric reflectance and absorption can be achieved, which are useful for applications such as seismic isolation, coastal protection, water-wave energy-harnessing, and also for constructing non-Hermitian exceptional points. |
| first_indexed | 2024-03-12T16:28:14Z |
| format | Article |
| id | doaj.art-358353fd1b4242ca8655add59e382dde |
| institution | Directory Open Access Journal |
| issn | 1367-2630 |
| language | English |
| last_indexed | 2024-03-12T16:28:14Z |
| publishDate | 2021-01-01 |
| publisher | IOP Publishing |
| record_format | Article |
| series | New Journal of Physics |
| spelling | doaj.art-358353fd1b4242ca8655add59e382dde2023-08-08T15:35:55ZengIOP PublishingNew Journal of Physics1367-26302021-01-0123707300410.1088/1367-2630/ac0b7dWillis coupling in water wavesYan Meng0https://orcid.org/0000-0002-1387-1644Yiran Hao1https://orcid.org/0000-0003-1907-4897Sébastien Guenneau2https://orcid.org/0000-0002-5924-622XShubo Wang3https://orcid.org/0000-0002-3026-6972Jensen Li4https://orcid.org/0000-0002-2099-8942Department of Physics, Hong Kong University of Science and Technology , Clear Water Bay, Hong Kong, People’s Republic of ChinaDepartment of Physics, Hong Kong University of Science and Technology , Clear Water Bay, Hong Kong, People’s Republic of ChinaUMI 2004 Abraham de Moivre-CNRS, Imperial College London , London SW7 2AZ, United KingdomDepartment of Physics, City University of Hong Kong , Hong Kong, People’s Republic of ChinaDepartment of Physics, Hong Kong University of Science and Technology , Clear Water Bay, Hong Kong, People’s Republic of ChinaFor mechanical waves, Willis coupling means a cross-coupling between stress and velocity or between momentum and strain. In contrary to its realization in acoustic and elastic waves, whether Willis coupling exists in water waves, as another kind of mechanical wave, is still unknown. Here, we propose and establish the concept of Willis coupling in water waves as the cross-coupling between the horizontal velocity at the free surface and the acceleration potential or between the vertical displacement of the water free surface and the flux. Thanks to the surface wave feature of water waves, the proposed metamaterial’s resonating conditions can be tuned by using the wave shoaling effect. With a proper three-dimensional design, Willis coupling can still have significant effects with resonance in the long-wavelength regime. Furthermore, by adding loss in the Willis metamaterial, asymmetric reflectance and absorption can be achieved, which are useful for applications such as seismic isolation, coastal protection, water-wave energy-harnessing, and also for constructing non-Hermitian exceptional points.https://doi.org/10.1088/1367-2630/ac0b7dWillis couplingwater waveswave shoalingsurface features |
| spellingShingle | Yan Meng Yiran Hao Sébastien Guenneau Shubo Wang Jensen Li Willis coupling in water waves New Journal of Physics Willis coupling water waves wave shoaling surface features |
| title | Willis coupling in water waves |
| title_full | Willis coupling in water waves |
| title_fullStr | Willis coupling in water waves |
| title_full_unstemmed | Willis coupling in water waves |
| title_short | Willis coupling in water waves |
| title_sort | willis coupling in water waves |
| topic | Willis coupling water waves wave shoaling surface features |
| url | https://doi.org/10.1088/1367-2630/ac0b7d |
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