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- Title
Graded resonator arrays for spatial frequency separation and amplification of water waves.
- Authors
Bennetts, Luke G.; Peter, Malte A.; Craster, Richard V.
- 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.
- Subjects
WATER waves; SCATTERING (Physics)
- Publication
Journal of Fluid Mechanics, 2018, Vol 854, p1
- ISSN
0022-1120
- Publication type
Article
- DOI
10.1017/jfm.2018.648