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A note on the total reflexion or transmission of surface waves in the presence of parallel obstacles

Published online by Cambridge University Press:  29 March 2006

D. V. Evans
Affiliation:
Department of Mathematics, University of Bristol, England

Abstract

It is shown how a two-dimensional surface wave can be either totally reflected or totally transmitted in the presence of two parallel vertical barriers each containing a small gap. Total transmission of a surface wave past obstacles has been known to occur in many situations in water-wave theory, but total reflexion is a comparatively new phenomenon which could be of practical use in the design of breakwaters.

Type
Research Article
Copyright
© 1975 Cambridge University Press

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References

Cooke, J. C. 1970 Glasgow Math. J. 17, 920.
Evans, D. V. & Morris, C. A. N. 1972 J. Inst. Math. Appl. 10, 19.
Gradshteyn, I. S. & Ryzhik, I. M. 1965 Tables of Integrals, Series, and Products. Academic.
Havelock, T. N. 1929 Phil. Mag. 8, 569576.
Jarvis, R. J. 1971 J. Inst. Math. Appl. 207215.
Leppington, F. G. & Levine, H. 1973 J. Fluid Mech. 61, 109128.
Newman, S. N. 1965 J. Fluid Mech. 23, 2329.
Newman, J. N. 1974 J. Fluid Mech. 66, 97106.
Packham, B. A. & Williams, W. E. 1972 J. Inst. Math. Appl. 10, 176184.
Tuck, E. O. 1971 J. Fluid Mech. 49, 6574.