Geodesic
Diffraction of electromagnetic wave on a~small inhomogeneity elliptic form in a~layer
Zapiski Nauchnykh Seminarov POMI, Mathematical problems in the theory of wave propagation. Part 30, Tome 275 (2001), pp. 249-257

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The problem of the diffraction of the electromagnatic plane wave, scattered on a small inhomogeneity in a layer, is investigated. The inhomogeneity is supposed to be a elliptic cylinder, focal distance of which is small in comparison with the length of the falling wave. It is proved that the small inhomogeneity radiates as a point source, the power of wich is proportional to the cross-section area and the jumps of the dielectric and magnetic constants on the interfaces. 
@article{ZNSL_2001_275_a17,
     author = {V. B. Philippov and N. Ya. Kirpichnikova and A. S. Kirpichnikova},
     title = {Diffraction of electromagnetic wave on a~small inhomogeneity elliptic form in a~layer},
     journal = {Zapiski Nauchnykh Seminarov POMI},
     pages = {249--257},
     publisher = {mathdoc},
     volume = {275},
     year = {2001},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/ZNSL_2001_275_a17/}
}
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V. B. Philippov; N. Ya. Kirpichnikova; A. S. Kirpichnikova. Diffraction of electromagnetic wave on a~small inhomogeneity elliptic form in a~layer. Zapiski Nauchnykh Seminarov POMI, Mathematical problems in the theory of wave propagation. Part 30, Tome 275 (2001), pp. 249-257. http://geodesic.mathdoc.fr/item/ZNSL_2001_275_a17/