Geodesic
Surface layer method for far filed diffractions of SV surface waves
Zapiski Nauchnykh Seminarov POMI, Mathematical problems in the theory of wave propagation. Part 40, Tome 380 (2010), pp. 53-89 
N. Ya. Kirpichnikova; A. S. Kirpichnikova. Surface layer method for far filed diffractions of SV surface waves. Zapiski Nauchnykh Seminarov POMI, Mathematical problems in the theory of wave propagation. Part 40, Tome 380 (2010), pp. 53-89. http://geodesic.mathdoc.fr/item/ZNSL_2010_380_a4/
@article{ZNSL_2010_380_a4,
     author = {N. Ya. Kirpichnikova and A. S. Kirpichnikova},
     title = {Surface layer method for far filed diffractions of {SV} surface waves},
     journal = {Zapiski Nauchnykh Seminarov POMI},
     pages = {53--89},
     year = {2010},
     volume = {380},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/ZNSL_2010_380_a4/}
}
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Voir la notice du chapitre de livre provenant de la source Math-Net.Ru

We investigate SV polarized wave field in the elastic gradient layer of constant width. A point source is situated at the boundary of the layer. We assume the rigid contact conditions are valid at the boundary between the layer and elastic half-space. We show that the interference field in the main approximation far from the source does not depend on the relation between phase velocity and transversal and longitudinal velocities in the half-space. Bibl. 11 titles.

[1] Christopher Stephens, Bryan L. Isacks, “Toward an understading of Sn: normal modes of Love waves in an oceanic structure”, Bull. Seism. Soc. Amer., 67:1 (1977), 69–78

[2] P. V. Krauklis, N. V. Tsepelev, L. A. Krauklis, “Ob asimptoticheskom podkhode k zadache dalnego rasprostraneniya voln”, Zap. nauchn. semin. LOMI, 156, 1986, 125–135 | Zbl

[3] M. A. Leontovich, V. A. Fok, “Reshenie zadachi o rasprostranenii elektromagnitnykh voln vdol poverkhnosti Zemli po metodu parabolicheskogo uravneniya”, Zhurn. eksperim. i teor. fiziki, 16:7 (1946), 557–573 | MR | Zbl

[4] R. N. Buchal, J. B. Keller, “Boundary layer problems in diffraction theory”, J. Comm. Pure Appl. Math., 13:1 (1960), 85–114 | DOI | MR | Zbl

[5] V. M. Babich, N. Ya. Kirpichnikova, Metod pogranichnogo sloya v zadachakh difraktsii, Izd-vo Leningr. un-ta, L., 1974 | MR

[6] D. L. Anderson, S. B. Archambeau, “The anelasticite of the earth”, J. Geophys. Res., 69 (1964), 2071–2084 | DOI

[7] L. M. Brekhovskikh, “O poverkhnostnykh volnakh v tverdom tele, uderzhivaemykh kriviznoi granitsy”, Akusticheskii zhurnal AN SSSR, 12:3 (1966), 374–376

[8] I. V. Mukhina, I. A. Molotkov, “O rasprostranenii voln Releya v uprugom poluprostranstve, neodnorodnom po dvum koordinatam”, Izv. AN SSSR. Fizika Zemli, 1967, no. 4, 3–8

[9] N. Ya. Kirpichnikova, “O rasprostranenii sosredotochennykh vblizi luchei poverkhnostnykh voln v neodnorodnom uprugom tele proizvolnoi formy”, Trudy Matem. instituta im. V. A. Steklova, 115, 1971, 114–130 | MR | Zbl

[10] N. Ya. Kirpichnikova, V. B. Filippov, “Povedenie poverkhnostnykh voln pri perekhode cherez liniyu sopryazheniya na granitse uprugogo odnorodnogo izotropnogo tela”, Zap. nauchn. semin. POMI, 230, 1995, 86–102 | MR | Zbl

[11] N. Ya. Kirpichnikova, “Difraktsiya poverkhnostnykh $SV$-voln na linii razryva uprugikh parametrov”, Zap. nauchn. semin. POMI, 342, 2007, 77–105 | MR | Zbl