Rayleigh wave scattering by a plane strip in a deep ocean |
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Authors: | K K Mann P S Deshwal |
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Institution: | (1) Department of Mathematics, Maharshi Dayanand University, 124 001 Rohtak, India |
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Abstract: | A theoretical formulation to study the problem of scattering of Rayleigh waves due to the presence of a rigid plane strip
in a deep ocean is presented. A rigid plane strip (0 ≤z ≤ H, 0 ≤x ≤ l) is fixed in the surface of the ocean occupyingz ≥ 0. Fourier transformation and Wiener-Hopf technique are used to arrive at the solution. The scattered Rayleigh waves behave
as cylindrical waves emerging out of the corner of the strip and its image in the free surface of the ocean. The scattered
waves are obtained in terms of Bessel functions whose behaviour near and far from the strip is well-known. The numerical calculations
for the scattered waves show that their amplitude increases rapidly for a small increase in the value of the wave number.
Scattering of Rayleigh waves due to a thin plane vertical barrier and a thin barrier in the free surface of the ocean has
been considered as the special cases. |
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Keywords: | Rayleigh wave scattering rigid plane strip Fourier transformation Wiener-Hopf technique |
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