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|Title:||Graded resonator arrays for spatial frequency separation and amplification of water waves|
|Citation:||Journal of Fluid Mechanics, 2018; 854:R4-1-R4-12|
|Publisher:||Cambridge University Press|
|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|
|Appears in Collections:||Aurora harvest 4|
Mathematical Sciences publications
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