Geodesic
Scattering of plane ellastic waves on a~small inhomogeneity lying inside an ellastic slightly bent layer
Zapiski Nauchnykh Seminarov POMI, Mathematical problems in the theory of wave propagation. Part 32, Tome 297 (2003), pp. 106-115

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The problem of diffraction of the ellastic plane wave of the horizontal polarization (SH-wave) on a small inhomogeneity lying in a slightly bent layer is investigated. The layer is situated on the boundary of the half-space. The inhomogeneity is supposed to be a cylinder, the cross-section diameter of which is small in comparision with the length of the falling wave. The insident wave is polarized in parallel to the axis of the cylinder. It is proved that the small inhomogeneity radiates as a point source, the intensity of which is proportional to area of the cross-section inhomogeneity and the jumps of the squared velocities in the layer and in the inhomogeneity. 
@article{ZNSL_2003_297_a6,
     author = {N. Ya. Kirpichnikova and L. A. Svirkina and V. B. Philippov},
     title = {Scattering of plane ellastic waves on a~small inhomogeneity lying inside an ellastic slightly bent layer},
     journal = {Zapiski Nauchnykh Seminarov POMI},
     pages = {106--115},
     publisher = {mathdoc},
     volume = {297},
     year = {2003},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/ZNSL_2003_297_a6/}
}
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N. Ya. Kirpichnikova; L. A. Svirkina; V. B. Philippov. Scattering of plane ellastic waves on a~small inhomogeneity lying inside an ellastic slightly bent layer. Zapiski Nauchnykh Seminarov POMI, Mathematical problems in the theory of wave propagation. Part 32, Tome 297 (2003), pp. 106-115. http://geodesic.mathdoc.fr/item/ZNSL_2003_297_a6/