We investigate symmetry-protected topological water waves within a strategically engineered square lattice system. Thus far, symmetry-protected topological modes in hexagonal systems have primarily been studied in electromagnetism and acoustics, i.e., dispersionless media. Herein, we show experimentally how crucial geometrical properties of square structures allow for topological transport that is ordinarily forbidden within conventional hexagonal structures. We perform numerical simulations that take into account the inherent dispersion within water waves and devise a topological insulator that supports symmetry-protected transport along the domain walls. Our measurements, viewed using a high-speed camera under stroboscopic illumination, unambiguously demonstrate the valley-locked transport of water waves within a non-hexagonal structure. Due to the tunability of the energy's directionality by geometry, our results could be used for developing highly efficient energy harvesters, filters, and beam-splitters within dispersive media.
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Experimental observations of topologically guided water waves within non-hexagonal structures
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30 March 2020
Research Article|
April 01 2020
Experimental observations of topologically guided water waves within non-hexagonal structures

Mehul P. Makwana
;
Mehul P. Makwana
a)
1
Department of Mathematics, Imperial College London
, London SW7 2AZ, United Kingdom
2
Multiwave Technologies AG
, 3 Chemin du Pre Fleuri, 1228 Geneva, Switzerland
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Nicolas Laforge;
Nicolas Laforge
b)
3
Institut FEMTO-ST, CNRS UMR 6174, Université de Bourgogne Franche-Comté
, 25000 Besançon, France
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Richard V. Craster
;
Richard V. Craster
c)
1
Department of Mathematics, Imperial College London
, London SW7 2AZ, United Kingdom
4
UMI 2004 Abraham de Moivre-CNRS, Imperial College
, London SW7 2AZ, United Kingdom
c)Author to whom correspondence should be addressed: r.craster@imperial.ac.uk
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Guillaume Dupont;
Guillaume Dupont
5
Aix Marseille Univ, CNRS, Centrale Marseille, IRPHE UMR 7342
, 13013 Marseille, France
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Sébastien Guenneau
;
Sébastien Guenneau
4
UMI 2004 Abraham de Moivre-CNRS, Imperial College
, London SW7 2AZ, United Kingdom
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Vincent Laude
;
Vincent Laude
3
Institut FEMTO-ST, CNRS UMR 6174, Université de Bourgogne Franche-Comté
, 25000 Besançon, France
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Muamer Kadic
Muamer Kadic
3
Institut FEMTO-ST, CNRS UMR 6174, Université de Bourgogne Franche-Comté
, 25000 Besançon, France
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a)
Electronic mail: mm107@ic.ac.uk
b)
Electronic mail: nicolas.laforge@femto-st.fr
c)Author to whom correspondence should be addressed: r.craster@imperial.ac.uk
Appl. Phys. Lett. 116, 131603 (2020)
Article history
Received:
December 08 2019
Accepted:
March 06 2020
Connected Content
A companion article has been published:
Square-shaped structures can topologically guide water waves
Citation
Mehul P. Makwana, Nicolas Laforge, Richard V. Craster, Guillaume Dupont, Sébastien Guenneau, Vincent Laude, Muamer Kadic; Experimental observations of topologically guided water waves within non-hexagonal structures. Appl. Phys. Lett. 30 March 2020; 116 (13): 131603. https://doi.org/10.1063/1.5141850
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