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On the solution of the problem of scattering of surface water waves by a sharp discontinuity in the surface boundary conditions

Published online by Cambridge University Press:  17 February 2009

A. Chakrabarti
A. Chakrabarti
Affiliation:
Department of Mathematics, Indian Institute of Science, Bangalore 560 012, India; e-mail: alok@math.iisc.ernet.in
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Abstract

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Closed-form analytical expressions are derived for the reflection and transmission coefficients for the problem of scattering of surface water waves by a sharp discontinuity in the surface-boundary-conditions, for the case of deep water. The method involves the use of the Havelock-type expansion of the velocity potential along with an analysis to solve a Carleman-type singular integral equation over a semi-infinite range. This method of solution is an alternative to the Wiener-Hopf technique used previously.

Type
Research Article
Information
The ANZIAM Journal , Volume 42 , Issue 2 , October 2000 , pp. 277 - 286
Copyright
Copyright © Australian Mathematical Society 2000

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