Scattering theory and cancellation of gravity-flexural waves of floating plates

Mohamed Farhat, P. Y. Chen, Hakan Bagci, Khaled N. Salama, A. Alù, S. Guenneau

Research output: Contribution to journalArticlepeer-review

1 Scopus citations

Abstract

We 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.
Original languageEnglish (US)
JournalPhysical Review B
Volume101
Issue number1
DOIs
StatePublished - Jan 28 2020

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