Abstract
The two-dimensional problem of propagating the waves generated by a point source, in a depth plane-layered waveguide is investigated. The Dirichlet condition is given on the boundary of the waveguide and also two consistency conditions are defined on the interface between the fluid and the bottom. The velocity of acoustic waves is assumed to be dependent only on the depth of the waveguide. With the help of cumbersome transformations, the solution is represented as a sum of geometric-optical waves, normal waves, and a remainder. Sufficient conditions on the total amount of detached normal and geometric-optical waves are obtained. The remainder is expressed by a simple formula. Bivliography: 22 titles.
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Dedicated to P. V. Krauklis on the occasion of his seventieth birthday
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Translated from Zapiski Nauchnykh Seminarov POMI, Vol. 308, 2004, pp. 197–224.
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Philippov, V.B., Kirpichnikova, N.Y. & Vlasyuk, N.G. A Combined Method for Calculating the Field of a Point Source in a Waveguide (Plane-Layered Media). J Math Sci 132, 113–129 (2006). https://doi.org/10.1007/s10958-005-0480-9
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DOI: https://doi.org/10.1007/s10958-005-0480-9