Geodesic
Diffraction of plane electromagnetic waves on a~small inhomogeneity in a~layer
Zapiski Nauchnykh Seminarov POMI, Mathematical problems in the theory of wave propagation. Part 30, Tome 275 (2001), pp. 85-99

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The problem of the diffraction of the electromagnetic plane wave, scattered on a small inhomogeneity in a layer is investigated. The inhomogeneity is supposed to be a circular cylinder, radius of which is small in comparision 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_a6,
     author = {N. Ya. Kirpichnikova and V. B. Philippov},
     title = {Diffraction of plane electromagnetic waves on a~small inhomogeneity in a~layer},
     journal = {Zapiski Nauchnykh Seminarov POMI},
     pages = {85--99},
     publisher = {mathdoc},
     volume = {275},
     year = {2001},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/ZNSL_2001_275_a6/}
}
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N. Ya. Kirpichnikova; V. B. Philippov. Diffraction of plane electromagnetic waves on a~small inhomogeneity in a~layer. Zapiski Nauchnykh Seminarov POMI, Mathematical problems in the theory of wave propagation. Part 30, Tome 275 (2001), pp. 85-99. http://geodesic.mathdoc.fr/item/ZNSL_2001_275_a6/