Journal articles
Scattering theory and cancellation of gravity-flexural waves of floating plates
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.
https://hal-amu.archives-ouvertes.fr/hal-03139952
Contributor : Patrick Ferrand <>
Submitted on : Friday, February 12, 2021 - 1:56:47 PM
Last modification on : Saturday, February 13, 2021 - 3:25:48 AM
Contributor : Patrick Ferrand <>
Submitted on : Friday, February 12, 2021 - 1:56:47 PM
Last modification on : Saturday, February 13, 2021 - 3:25:48 AM
File
PhysRevB.101.014307.pdf
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