A two turning-point problem in fluid mechanics
- 1 May 1975
- journal article
- Published by Cambridge University Press (CUP) in Mathematical Proceedings of the Cambridge Philosophical Society
- Vol. 77 (3) , 581-590
- https://doi.org/10.1017/s0305004100051409
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.This publication has 9 references indexed in Scilit:
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