Regular sloshing modes in irregular cavity using metabathymetry

We demonstrate experimentally and numerically that metamaterials can be used to control water wave propagation and resonance properties of a closed cavity. The anisotropic medium, designed using coordinate transformation theory [1] and the homogenization of fully three-dimensional linear water wave problem [2], consists of a bathymetry with a layered structure at a subwavelength scale. Three cavities with bending angles of 15°, 30° and 45° are tested and compared to a reference case with flat bathymetry. Fourier Transform Profilometry [3] as well as Confocal Displacement Sensors are used for space-time resolved measurements of a water surface deformation. Experimental data show the capability of water-wave metamaterials to provide a robust anisotropic medium for wave propagation.
References
[1] C.P. Berraquero, A. Maurel, P. Petitjeans and V. Pagneux. Experimental realization of a water-wave metamaterial shifter. Phys. Rev. E 88, 051002(R) (2013)
[2] A. Maurel, J.-J. Marigo, P. Cobelli, P. Petitjeans and V. Pagneux. Revisiting the anisotropy of metamaterials for water waves. Phys. Rev. B 96, 134310 (2017)
[3] P. Cobelli, A. Maurel, V. Pagneux and P. Petitjeans. Global measurement of water waves by Fourier transform profilometry. Exp Fluids 46, 1037-1047 (2009)