https://hal-amu.archives-ouvertes.fr/hal-03139952Farhat, M.M.FarhatKAUST - King Abdullah University of Science and TechnologyChen, P.-Y.P.-Y.ChenUIC - University of Illinois [Chicago] - University of Illinois SystemBagci, H.H.BagciKAUST - King Abdullah University of Science and TechnologySalama, K.K.SalamaKAUST - King Abdullah University of Science and TechnologyAlù, A.A.AlùCUNY - City University of New York [New York]Guenneau, S.S.GuenneauEPSILON - EPSILON - FRESNEL - Institut FRESNEL - AMU - Aix Marseille Université - ECM - École Centrale de Marseille - CNRS - Centre National de la Recherche ScientifiqueScattering theory and cancellation of gravity-flexural waves of floating platesHAL CCSD2020BendingCloakingMie scattering[PHYS] Physics [physics]Ferrand, Patrick2021-02-12 13:56:472021-11-03 05:54:592021-02-12 14:32:10enJournal articleshttps://hal-amu.archives-ouvertes.fr/hal-03139952/document10.1103/PhysRevB.101.014307application/pdf1We combine theories of scattering for linearized water waves and flexural waves in thin elastic plates to characterize and achieve control of water wave scattering using floating plates. This requires manipulating a sixth-order partial differential equation with appropriate boundary conditions of the velocity potential. Making use of multipole expansions, we reduce the scattering problem to a linear algebraic system. The response of a floating plate in the quasistatic limit simplifies, considering a distinct behavior for water and flexural waves. Unlike for similar studies in electromagnetics and acoustics, scattering of gravity-flexural waves results in a nonvanishing scattering cross-section in the zero-frequency limit, dominated by its zeroth-order multipole. Potential applications lie in floating structures manipulating ocean water waves.