IDEAS home Printed from https://ideas.repec.org/a/nat/natcom/v15y2024i1d10.1038_s41467-024-49575-5.html
   My bibliography  Save this article

Effects of nonlinearity on Anderson localization of surface gravity waves

Author

Listed:
  • Guillaume Ricard

    (Université Paris Cité, CNRS, MSC, UMR 7057)

  • Filip Novkoski

    (Université Paris Cité, CNRS, MSC, UMR 7057)

  • Eric Falcon

    (Université Paris Cité, CNRS, MSC, UMR 7057)

Abstract

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.

Suggested Citation

  • Guillaume Ricard & Filip Novkoski & Eric Falcon, 2024. "Effects of nonlinearity on Anderson localization of surface gravity waves," Nature Communications, Nature, vol. 15(1), pages 1-8, December.
  • Handle: RePEc:nat:natcom:v:15:y:2024:i:1:d:10.1038_s41467-024-49575-5
    DOI: 10.1038/s41467-024-49575-5
    as

    Download full text from publisher

    File URL: https://www.nature.com/articles/s41467-024-49575-5
    File Function: Abstract
    Download Restriction: no

    File URL: https://libkey.io/10.1038/s41467-024-49575-5?utm_source=ideas
    LibKey link: if access is restricted and if your library uses this service, LibKey will redirect you to where you can use your library subscription to access this item
    ---><---

    References listed on IDEAS

    as
    1. Diederik S. Wiersma & Paolo Bartolini & Ad Lagendijk & Roberto Righini, 1997. "Localization of light in a disordered medium," Nature, Nature, vol. 390(6661), pages 671-673, December.
    2. Giacomo Roati & Chiara D’Errico & Leonardo Fallani & Marco Fattori & Chiara Fort & Matteo Zaccanti & Giovanni Modugno & Michele Modugno & Massimo Inguscio, 2008. "Anderson localization of a non-interacting Bose–Einstein condensate," Nature, Nature, vol. 453(7197), pages 895-898, June.
    3. Juliette Billy & Vincent Josse & Zhanchun Zuo & Alain Bernard & Ben Hambrecht & Pierre Lugan & David Clément & Laurent Sanchez-Palencia & Philippe Bouyer & Alain Aspect, 2008. "Direct observation of Anderson localization of matter waves in a controlled disorder," Nature, Nature, vol. 453(7197), pages 891-894, June.
    4. Tal Schwartz & Guy Bartal & Shmuel Fishman & Mordechai Segev, 2007. "Transport and Anderson localization in disordered two-dimensional photonic lattices," Nature, Nature, vol. 446(7131), pages 52-55, March.
    5. A. A. Chabanov & M. Stoytchev & A. Z. Genack, 2000. "Statistical signatures of photon localization," Nature, Nature, vol. 404(6780), pages 850-853, April.
    6. M. Torres & J. P. Adrados & F. R. Montero de Espinosa, 1999. "Visualization of Bloch waves and domain walls," Nature, Nature, vol. 398(6723), pages 114-115, March.
    Full references (including those not matched with items on IDEAS)

    Most related items

    These are the items that most often cite the same works as this one and are cited by the same works as this one.
    1. Cao, Xuefei & Wang, Kaile & Yang, Song & Gao, Yuanmei & Cai, Yangjian & Wen, Zengrun, 2024. "Localization and delocalization of light in synthetic photonic lattices with hybrid Bloch-Anderson modulations," Chaos, Solitons & Fractals, Elsevier, vol. 180(C).
    2. Liu, Xiuye & Zeng, Jianhua, 2023. "Matter-wave gap solitons and vortices of dense Bose–Einstein condensates in Moiré optical lattices," Chaos, Solitons & Fractals, Elsevier, vol. 174(C).
    3. Azriel Z. Genack & Yiming Huang & Asher Maor & Zhou Shi, 2024. "Velocities of transmission eigenchannels and diffusion," Nature Communications, Nature, vol. 15(1), pages 1-10, December.
    4. Behnia, S. & Ziaei, J. & Khodavirdizadeh, M. & Hosseinnezhad, P. & Rahimi, F., 2018. "Quantum chaos analysis for characterizing a photonic resonator lattice," Chaos, Solitons & Fractals, Elsevier, vol. 109(C), pages 154-159.
    5. Carsten Lippe & Tanita Klas & Jana Bender & Patrick Mischke & Thomas Niederprüm & Herwig Ott, 2021. "Experimental realization of a 3D random hopping model," Nature Communications, Nature, vol. 12(1), pages 1-7, December.
    6. Ulysse Najar & Victor Barolle & Paul Balondrade & Mathias Fink & Claude Boccara & Alexandre Aubry, 2024. "Harnessing forward multiple scattering for optical imaging deep inside an opaque medium," Nature Communications, Nature, vol. 15(1), pages 1-10, December.
    7. Chen, Hechong & Liu, Zihan & Lian, Shengdi & Quan, Qingying & Malomed, Boris A. & Li, Shuobo & Zhang, Yong & Li, Huagang & Deng, Dongmei, 2024. "Tunable beam splitting via photorefractive nonlinearity and its applications in chiral waveguide induction and vortex generation," Chaos, Solitons & Fractals, Elsevier, vol. 183(C).
    8. Villegas-Martínez, B.M. & Moya-Cessa, H.M. & Soto-Eguibar, F., 2022. "Modeling displaced squeezed number states in waveguide arrays," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 608(P1).
    9. Jin, Huaqing & Zhang, Haicheng & Zheng, Siming & Xu, Daolin, 2024. "Characteristics of a two-dimensional periodic wave energy converter array," Renewable Energy, Elsevier, vol. 222(C).
    10. Ruotian Gong & Guanghui He & Xingyu Gao & Peng Ju & Zhongyuan Liu & Bingtian Ye & Erik A. Henriksen & Tongcang Li & Chong Zu, 2023. "Coherent dynamics of strongly interacting electronic spin defects in hexagonal boron nitride," Nature Communications, Nature, vol. 14(1), pages 1-10, December.

    More about this item

    Statistics

    Access and download statistics

    Corrections

    All material on this site has been provided by the respective publishers and authors. You can help correct errors and omissions. When requesting a correction, please mention this item's handle: RePEc:nat:natcom:v:15:y:2024:i:1:d:10.1038_s41467-024-49575-5. See general information about how to correct material in RePEc.

    If you have authored this item and are not yet registered with RePEc, we encourage you to do it here. This allows to link your profile to this item. It also allows you to accept potential citations to this item that we are uncertain about.

    If CitEc recognized a bibliographic reference but did not link an item in RePEc to it, you can help with this form .

    If you know of missing items citing this one, you can help us creating those links by adding the relevant references in the same way as above, for each refering item. If you are a registered author of this item, you may also want to check the "citations" tab in your RePEc Author Service profile, as there may be some citations waiting for confirmation.

    For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: Sonal Shukla or Springer Nature Abstracting and Indexing (email available below). General contact details of provider: http://www.nature.com .

    Please note that corrections may take a couple of weeks to filter through the various RePEc services.

    IDEAS is a RePEc service. RePEc uses bibliographic data supplied by the respective publishers.