Effects of nonlinearity on Anderson localization of surface gravity waves
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arXiv
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| Autori principali: | , , |
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| Natura: | Preprint |
| Pubblicazione: |
2024
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| _version_ | 1866916317132488704 |
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| author | Ricard, Guillaume Novkoski, Filip Falcon, Eric |
| author_facet | Ricard, Guillaume Novkoski, Filip Falcon, Eric |
| contents | Anderson localization is a multiple-scattering phenomenon of linear waves propagating within a disordered medium. Discovered in the late 50s for electrons, it has since been observed experimentally with cold atoms and with classical waves (optics, microwaves, and acoustics), but whether wave localization is enhanced or weakened for nonlinear waves is a long-standing debate. Here, we show that the nonlinearity strengthens the localization of surface-gravity waves propagating in a canal with a random bottom. We also show experimentally how the localization length depends on the nonlinearity, which has never been reported previously with any type of wave. To do so, we use a full space-and-time-resolved wavefield measurement as well as numerical simulations. The effects of the disorder level and the system's finite size on localization are also reported. We also highlight the first experimental evidence of the macroscopic analog of Bloch's dispersion relation of linear hydrodynamic surface waves over periodic bathymetry. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2406_04782 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Effects of nonlinearity on Anderson localization of surface gravity waves Ricard, Guillaume Novkoski, Filip Falcon, Eric Disordered Systems and Neural Networks Statistical Mechanics Chaotic Dynamics Fluid Dynamics Anderson localization is a multiple-scattering phenomenon of linear waves propagating within a disordered medium. Discovered in the late 50s for electrons, it has since been observed experimentally with cold atoms and with classical waves (optics, microwaves, and acoustics), but whether wave localization is enhanced or weakened for nonlinear waves is a long-standing debate. Here, we show that the nonlinearity strengthens the localization of surface-gravity waves propagating in a canal with a random bottom. We also show experimentally how the localization length depends on the nonlinearity, which has never been reported previously with any type of wave. To do so, we use a full space-and-time-resolved wavefield measurement as well as numerical simulations. The effects of the disorder level and the system's finite size on localization are also reported. We also highlight the first experimental evidence of the macroscopic analog of Bloch's dispersion relation of linear hydrodynamic surface waves over periodic bathymetry. |
| title | Effects of nonlinearity on Anderson localization of surface gravity waves |
| topic | Disordered Systems and Neural Networks Statistical Mechanics Chaotic Dynamics Fluid Dynamics |
| url | https://arxiv.org/abs/2406.04782 |