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Waves on a shearing current: a uniformly valid asymptotic solution

Published online by Cambridge University Press:  24 October 2008

W. D. McKee
W. D. McKee
Affiliation:
Mathematics Department, Monash University, Clayton, Victoria 3168, Australia
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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 ½π phase shift.

Type
Research Article
Information
Mathematical Proceedings of the Cambridge Philosophical Society , Volume 75 , Issue 2 , March 1974 , pp. 295 - 301
Copyright
Copyright © Cambridge Philosophical Society 1974

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References

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