Abstract
The paper presents a theoretical formulation for studying scattering of Rayleigh waves due to the presence of rigid barriers in oceanic waters. The Wiener-Hopf technique has been employed to solve the problem. Exact solution has been obtained in terms of Fourier integrals whose evaluation gives the reflected, transmitted and scattered waves. The scattered waves have the behaviour of cylindrical waves originating at the edge of the barrier. Numerical results for the amplitude of the scattered waves have been obtained for small depth of the barrier.
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References
Deshwal P S Diffraction of a compressional wave by a rigid barrier in a liquid half-space, Pure and Applied Geophysics, 85 (1971/II), 107–124.
Deshwal P S Diffraction of a compressional wave by a rigid barrier in a liquid layer—part II, Pure and Applied Geophysics, 91 (1971/VIII), 14–33.
Ewing W Jardetzky W S and Press F Elastic waves in layered media, (1957), McGraw Hill Book Co.
Faulkner T R Proc. Camb. Phil. Soc., 62 (1966), 829–838.
Noble B Methods based on the Wiener-Hopf technique, (1958), Pergamon Press.
Roos B W Analytic functions and distributions in Physics and Engineering, (1969), John Wiley and Sons, Inc. New York.
Sneddon I N Fourier Transforms, (1951), McGraw Hill Book Co.
Ursell F Proc. Camb. Phil. Soc., 43 (1947), 374–382.
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Mann, K.K., Deshwal, P.S. Rayleigh wave scattering due to a rigid barrier in a liquid halfspace. Proc. Indian Acad. Sci. (Math. Sci.) 94, 93–109 (1985). https://doi.org/10.1007/BF02880989
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DOI: https://doi.org/10.1007/BF02880989