Geodesic
Diffraction of the near-surface waves on a vertical interface of media
Zapiski Nauchnykh Seminarov POMI, Mathematical problems in the theory of wave propagation. Part 35, Tome 332 (2006), pp. 70-89

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The problem of diffraction of waves, raised by a point source, on a vertical interface of media is investigated. The reflected and refracted waves fields are obtained by means of the parabolic equation method. The corresponding transformation coefficients are found for the Neyman boundary condition. 
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     author = {N. Ya. Kirpichnikova and S. Yu. Fadeeva and V. B. Philippov},
     title = {Diffraction of the near-surface waves on a vertical interface of media},
     journal = {Zapiski Nauchnykh Seminarov POMI},
     pages = {70--89},
     publisher = {mathdoc},
     volume = {332},
     year = {2006},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/ZNSL_2006_332_a4/}
}
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N. Ya. Kirpichnikova; S. Yu. Fadeeva; V. B. Philippov. Diffraction of the near-surface waves on a vertical interface of media. Zapiski Nauchnykh Seminarov POMI, Mathematical problems in the theory of wave propagation. Part 35, Tome 332 (2006), pp. 70-89. http://geodesic.mathdoc.fr/item/ZNSL_2006_332_a4/