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A structure capable of substantially amplifying water waves over a broadrange of frequencies at selected locations is proposed. The structure consistsof a small number of C-shaped cylinders arranged in a line array, with thecylinder properties graded along the array. Using linear potential-flow theory,it is shown that the energy carried by a plane incident wave is amplifiedwithin specified cylinders, for wavelengths comparable to the array length, andfor a range of incident directions. Transfer matrix analysis is used toattribute the large amplifications to excitation of Rayleigh--Bloch waves andgradual slowing down of their group velocity along the array.

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