Abstract
The water waves produced by a partially submerged oscillating body are calculated when their wavelength is small compared with the dimensions of the body. The calculation involves ray methods, the ‘double body’ flow produced by the body motion and the 2D solution for waves on a sloping beach. It is based upon the ray method, which was used by Hermans (1973, A perturbation method for the radiation of short surface waves in three dimensions. J. Engrg Math., 7, 75–84.) for bodies vertical at the waterline, and upon Holford's (1965, On the generation of short two-dimensional surface waves by oscillating surface cylinders of arbitrary cross-section. Technical Report, No. 4. Dept. Math., Stanford University.) method for cylinders oblique at the waterline.
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