Geodesic
Interference head wave in diffraction of waves from a point source by an inhomogeneous half-plane
Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki, Tome 55 (2015) no. 11, pp. 1904-1920 
A. A. Matskovskiy. Interference head wave in diffraction of waves from a point source by an inhomogeneous half-plane. Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki, Tome 55 (2015) no. 11, pp. 1904-1920. http://geodesic.mathdoc.fr/item/ZVMMF_2015_55_11_a8/
@article{ZVMMF_2015_55_11_a8,
     author = {A. A. Matskovskiy},
     title = {Interference head wave in diffraction of waves from a point source by an inhomogeneous half-plane},
     journal = {\v{Z}urnal vy\v{c}islitelʹnoj matematiki i matemati\v{c}eskoj fiziki},
     pages = {1904--1920},
     year = {2015},
     volume = {55},
     number = {11},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/ZVMMF_2015_55_11_a8/}
}
TY  - JOUR
AU  - A. A. Matskovskiy
TI  - Interference head wave in diffraction of waves from a point source by an inhomogeneous half-plane
JO  - Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki
PY  - 2015
SP  - 1904
EP  - 1920
VL  - 55
IS  - 11
UR  - http://geodesic.mathdoc.fr/item/ZVMMF_2015_55_11_a8/
LA  - ru
ID  - ZVMMF_2015_55_11_a8
ER  - 
%0 Journal Article
%A A. A. Matskovskiy
%T Interference head wave in diffraction of waves from a point source by an inhomogeneous half-plane
%J Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki
%D 2015
%P 1904-1920
%V 55
%N 11
%U http://geodesic.mathdoc.fr/item/ZVMMF_2015_55_11_a8/
%G ru
%F ZVMMF_2015_55_11_a8

Voir la notice de l'article provenant de la source Math-Net.Ru

Diffraction of two-dimensional waves created by a point source located over a half-plane with a linearly decreasing squared wave number is considered. The exact solution of the problem is constructed, and a method for extracting the short-wave asymptotics of an interference head wave from this solution is proposed.

[1] Brekhovskikh L. M., Lysanov Yu. P., Teoreticheskie osnovy akustiki okeana, Gidrometeoizdat, L., 1982

[2] Alekseev A. S., Volvovskii I. S., Ermilova N. I., Krauklis P. V., Ryaboi V. Z., “K voprosu o fizicheskoi prirode nekotorykh voln, registriruemykh pri GSZ I”, Izv. AN SSSR. Ser. geofiz., 1964, no. 1, 3–19 | MR

[3] Buldyrev V. S., “Interferentsiya korotkikh voln v zadache difraktsii na neodnorodnom tsilindre proizvolnogo secheniya”, Izv. vyssh. uchebn. zavedenii, 10:5 (1967), 699–711

[4] Buldyrev V. S., “Issledovanie funktsii Grina v zadache difraktsii na prozrachnom krugovom tsilindre, I”, Zh. vychisl. matem. i matem. fiz., 4, Dopoln. k No 4 (1964), 275–286 | MR | Zbl

[5] Babich V. M., “On asymptotics of a wave field near the origin of an interference head wave”, Electromagnetics in Advanced Appl., 2007, 704–705

[6] Babich V. M., “Boundary layer approach to construct an interference head wave”, Math. problems in the theory of wave propagation. Part 43, Zap. Nauchn. Sem. POMI, 422, 2014, 18–26

[7] Philippov V. B., “Point source field near concave boundary”, Math. problems in the theory of wave propagation, Zap. Nauchn. Sem. POMI, 354, 2008, 212–219 | Zbl

[8] Matskovskii A. A., “Korotkovolnovyi tochechnyi istochnik kolebanii vblizi neodnorodnoi poluploskosti”, Matematicheskie voprosy teorii rasprostraneniya voln, Zap. nauchn. sem. POMI, 409, 2013, 107–120 | Zbl

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

[10] Babich V. M., Buldyrev V. S., Asimptoticheskie metody v zadachakh difraktsii korotkikh voln, Nauka, M., 1972 | MR