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Type: Journal article
Title: Graded resonator arrays for spatial frequency separation and amplification of water waves
Author: Bennetts, L.
Peter, M.
Craster, R.
Citation: Journal of Fluid Mechanics, 2018; 854:R4-1-R4-12
Publisher: Cambridge University Press
Issue Date: 2018
ISSN: 0022-1120
Statement of
Luke G. Bennetts, Malte A. Peter and Richard V. Craster
Abstract: A structure capable of substantially amplifying water waves over a broad range of frequencies at selected locations is proposed. The structure consists of a small number of C-shaped cylinders in a line array, with the cylinder properties graded along the array. Using linear potential-flow theory, it is shown that the energy carried by a plane incident wave is amplified within specified cylinders for wavelengths comparable to the array length and for a range of incident directions. Transfer-matrix analysis is used to attribute the large amplifications to excitation of local Rayleigh–Bloch waves and gradual slowing down of their group velocity along the array.
Keywords: Surface gravity waves; wave scattering; waves/free-surface flows
Rights: © Cambridge University Press 2018
DOI: 10.1017/jfm.2018.648
Appears in Collections:Aurora harvest 4
Mathematical Sciences publications

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