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A variational approach to an unsymmetric water-wave scattering problem

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Summary

A plane surface wave train on infinitely deep water is incident upon a pair of fixed thin vertical barriers, one of which is in the surface, the other submerged. The relation between the input and output amplitudes is obtained via a variational approximation for large barrier separations. It is shown that, within this approximation, infinite spectra of totally reflected and totally transmitted waves exist if the barriers overlap, but for non-overlapping barriers this is not the case.

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Authors and Affiliations

  1. Department of Mathematics and Statistics, City of London Polytechnic, London, England

    C. A. N. Morris

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  1. C. A. N. Morris
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Morris, C.A.N. A variational approach to an unsymmetric water-wave scattering problem. J Eng Math 9, 291–300 (1975). https://doi.org/10.1007/BF01540666

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  • DOI: https://doi.org/10.1007/BF01540666

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