Abstract
The problem of oblique wave scattering by a semi-infinite rigid dock in the presence of varying bottom topography is investigated here using linear water wave theory. Employing a simplified perturbation analysis together with appropriate use of Green’s integral theorem, the reflection coefficient up to first order is obtained in terms of an integral involving the shape function representing the bottom topography. The zero-order reflection coefficient is obtained by using the residue calculus method of complex variable. The bottom undulations are described by sinusoidal and an exponentially decaying profile. The first order correction to the reflection coefficient is depicted graphically in a number of figures for the two shape functions characterizing the bottom undulations and appropriate conclusions are drawn.
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