Graded resonator arrays for spatial frequency separation and amplification of water waves
Fluid Dynamics
2018-10-17 v1
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 arranged 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 Rayleigh--Bloch waves and gradual slowing down of their group velocity along the array.
Keywords
Cite
@article{arxiv.1806.05404,
title = {Graded resonator arrays for spatial frequency separation and amplification of water waves},
author = {Luke G. Bennetts and Malte A. Peter and and Richard V. Craster},
journal= {arXiv preprint arXiv:1806.05404},
year = {2018}
}
Comments
12 pages