Geodesic
Combined method of calculation of the field of the point source in a waveguide. (Layer media)
Zapiski Nauchnykh Seminarov POMI, Mathematical problems in the theory of wave propagation. Part 33, Tome 308 (2004), pp. 197-224 
N. Ya. Kirpichnikova; V. B. Philippov; N. G. Vlasjuk. Combined method of calculation of the field of the point source in a waveguide. (Layer media). Zapiski Nauchnykh Seminarov POMI, Mathematical problems in the theory of wave propagation. Part 33, Tome 308 (2004), pp. 197-224. http://geodesic.mathdoc.fr/item/ZNSL_2004_308_a11/
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     title = {Combined method of calculation of the field of the point source in a~waveguide. {(Layer} media)},
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Voir la notice du chapitre de livre provenant de la source Math-Net.Ru

The two-dimensional problem of propagation of waves, raised by a point source, in an interior layer wave guide is investigated. The Dirichlet condition is given on the bound of the wave guide and also two junction condition are defined on the interface between fluid and bottom. With help of cumbersome transformation the solution is represented as a sum of the geometro-optical waves, the normal waves and the residual is shown. The sufficient conditions on the general amount of the detached normal and geometro-optical waves are obtained. The residual is expressed by the simple formula.

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