Waves on a shearing current: a uniformly valid asymptotic solution
- 1 March 1974
- journal article
- Published by Cambridge University Press (CUP) in Mathematical Proceedings of the Cambridge Philosophical Society
- Vol. 75 (2) , 295-301
- https://doi.org/10.1017/s0305004100048490
Abstract
A uniformly valid asymptotic solution for waves on a shearing current is presented. This solution is more general than the previous WKB solutions because it is valid at and near a caustic. Far from the caustic line, the solution reduces to the WKB solution. It predicts that an incident wave will be reflected from a straight caustic with the same amplitude and a phase shift.Keywords
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