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Communication Dans Un Congrès Année : 2019

Guided waves along a domain wall of a water wave crystal

Résumé

We consider experimentally and theoretically the existence of topological edge states guided along a domain wall of a water-wave crystal. The experiment is conducted in the intermediate regime of gravity-capillary waves, where the shallow water depth has considerable influence of the dispersion of water waves. The edge states are obtained in a hexagonal crystal of rotated triangular pillars and domain walls composed thereof. They are found to be a superposition of vortex valley waves that carry a quantized topological phase. The theoretical analysis is conducted thanks to the stochastic excitation method recently introduced to obtain the dispersion of waves in crystals and waveguides. Notably, the strong dispersion of water waves renders a direct computation of eigenvalues delicate. In the stochastic excitation method, the eigenvalue problemis replaced by the mapping of the resolvent set, complementary to the eigenvalue spectrum in dispersion space. A good agreement between theory and experiments is obtained, though some subtle capillary effects at the interface of water and the crystal of pillars were not taken intoaccount beyond the use of effective parameters. Our observations show that topological edge states exist in highly dispersive wave systems, beyond the realm of classical linear waves.
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Dates et versions

hal-02370477 , version 1 (19-11-2019)

Identifiants

  • HAL Id : hal-02370477 , version 1

Citer

Vincent Laude, Nicolas Laforge, Franck Chollet, Abdelkrim Khelif, Muamer Kadic, et al.. Guided waves along a domain wall of a water wave crystal. Workshop on Seismic Metamaterials: From Optics to Geophysics, Apr 2019, Marseille, France. ⟨hal-02370477⟩
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