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A two turning-point problem in fluid mechanics

Published online by Cambridge University Press:  24 October 2008

W. D. McKee
W. D. McKee
Affiliation:
Monash University
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Abstract

A uniformly valid asymptotic solution is found for waves refracted by a shearing current or by bottom topography in the case where two straight caustics are present. The ratio of the amplitude of the reflected wave to that of the incident wave increases monotonically from 1/√2, when the caustics are close together, to unity when they are widely separated. A slight modification of the theory gives an expression for the frequencies of waves trapped between two caustics.

Type
Research Article
Information
Mathematical Proceedings of the Cambridge Philosophical Society , Volume 77 , Issue 3 , May 1975 , pp. 581 - 590
Copyright
Copyright © Cambridge Philosophical Society 1975

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References

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