Abstract
For edge waves on an infinite beach of constant slope comparison is made between the full linear solution and the shallow water approximation. Modifications to the shallow-water edge-wave dispersion relation accounting for an offshore shelf are obtained and compared with an earlier approximation. A physically comprehensible description of edge waves is given, using a geometrical optics approach, leading to approximate expressions for their dispersion relation. Both shallow water and general depth are considered. For the shallow water case comparison is made with the exact relation for an exponentially seaward decreasing slope. Finally the maximum possible edge wave amplitude is estimated by heuristic arguments.
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