We shall consider long#x2010;time#x2010;harmonic plane waves from a constant depth ocean obliquely incident on a straight linear continental slope, followed by a shallower constant depth continental shelf. The shelf is terminated by a straight coastline, the local dimensions of which are assumed small enough compared to the wavelengths involved to allow the coastline to be treated as a vertical wall. In order to allow for some local effects, however, the wall is taken as partially reflecting rather than the more common rigid reflector used elsewhere.
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