Graded resonator arrays for spatial frequency separation and amplification of water waves

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.

12 pages

References in corpus (3)

• Enhancement of sound in chirped sonic crystals
• Broadband quasi perfect absorption using chirped multi-layer porous materials
• Dykes for filtering ocean waves using c-shaped vertical cylinders

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