Geodesic
Scattering of a plane electromagnetic wave on a small inhomogeneity in a slightly bent layer
Zapiski Nauchnykh Seminarov POMI, Mathematical problems in the theory of wave propagation. Part 32, Tome 297 (2003), pp. 93-105 Cet article a éte moissonné depuis la source Math-Net.Ru

Voir la notice du chapitre de livre

The problem of the diffraction of the electromagnetic plane wave, scattered on a small inhomogeneity in a slightly bent layer, is investigated. The inhomogeneity is supposed to be a cylinder. A cross-section area and diameter of the cylinder are small in comparision with the length of the incident wave. It is proved that the small inhomogeneity radiates as a point source, the power of which is proportional to the cross-section area and the jumps of the dielectric and magnetic constants on the interfaces. The bend of the layer does rezult in variation of the exponential factors of the reflected and refracted waves and in variation of the radiation pattern of the scattered waves. 
@article{ZNSL_2003_297_a5,
     author = {N. Ya. Kirpichnikova and S. N. Kirpichnikov and V. B. Philippov},
     title = {Scattering of a~plane electromagnetic wave on a~small inhomogeneity in a~slightly bent layer},
     journal = {Zapiski Nauchnykh Seminarov POMI},
     pages = {93--105},
     year = {2003},
     volume = {297},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/ZNSL_2003_297_a5/}
}
TY  - JOUR
AU  - N. Ya. Kirpichnikova
AU  - S. N. Kirpichnikov
AU  - V. B. Philippov
TI  - Scattering of a plane electromagnetic wave on a small inhomogeneity in a slightly bent layer
JO  - Zapiski Nauchnykh Seminarov POMI
PY  - 2003
SP  - 93
EP  - 105
VL  - 297
UR  - http://geodesic.mathdoc.fr/item/ZNSL_2003_297_a5/
LA  - ru
ID  - ZNSL_2003_297_a5
ER  - 
%0 Journal Article
%A N. Ya. Kirpichnikova
%A S. N. Kirpichnikov
%A V. B. Philippov
%T Scattering of a plane electromagnetic wave on a small inhomogeneity in a slightly bent layer
%J Zapiski Nauchnykh Seminarov POMI
%D 2003
%P 93-105
%V 297
%U http://geodesic.mathdoc.fr/item/ZNSL_2003_297_a5/
%G ru
%F ZNSL_2003_297_a5
N. Ya. Kirpichnikova; S. N. Kirpichnikov; V. B. Philippov. Scattering of a plane electromagnetic wave on a small inhomogeneity in a slightly bent layer. Zapiski Nauchnykh Seminarov POMI, Mathematical problems in the theory of wave propagation. Part 32, Tome 297 (2003), pp. 93-105. http://geodesic.mathdoc.fr/item/ZNSL_2003_297_a5/

[1] G. Polia, G. Sege, Izoperimetricheskie neravenstva v matematicheskoi fizike, M., 1962 | MR

[2] V. Yu. Gotlib, “O releevskoi asimptotike difraktsionnykh zadach”, Zap. nauchn. semin. LOMI, 62, 1976, 52–59 | MR | Zbl

[3] V. M. Babich, I. S. Zorin, M. I. Ivanov, A. V. Movchan, S. A. Nazarov, Integralnye kharakteristiki v zadachakh teorii uprugosti, Preprint LOMI, R-6-89, L., 1989

[4] V. B. Filippov, N. Ya. Kirpichnikova, “Difraktsiya elektromagnitnykh voln na malykh neodnorodnostyakh”, Zap. nauchn. semin. POMI, 257, 1999, 304–322 | MR | Zbl

[5] N. Ya. Kirpichnikova, V. B. Filippov, “Difraktsiya ploskikh elektromagnitnykh voln ot maloi neodnorodnosti, pomeschennoi v sloi”, Zap. nauchn. semin. POMI, 275, 2001, 85–99 | MR | Zbl

[6] L. A. Molotkov, “O kharakteristicheskikh matritsakh slabo iskrivlennykh uprugikh sloev”, Zap. nauchn. semin. LOMI, 99, 1980, 74–84 | MR | Zbl

[7] L. M. Brekhovskikh, Volny v sloistykh sredakh, Nauka, M., 1973 | Zbl

[8] V. A. Fok, Problemy difraktsii i rasprostraneniya elektromagnitnykh voln, Sovetskoe radio, M., 1970

[9] F. Frank, R. Mizes, Differentsialnye i integralnye uravneniya matematicheskoi fiziki, ONTI GROTL, L.-M., 1937

[10] G. I. Makarov, V. V. Novikov, “Teoriya rasprostraneniya radiovoln”, 1-aya Vsesoyuznaya shkola-seminar po difraktsii i rasprostraneniyu voln, Izd. AN SSSR, Palanga, 1968, 242–304