Zapiski Nauchnykh Seminarov POMI, Mathematical problems in the theory of wave propagation. Part 18, Tome 173 (1988), pp. 6-19
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I. V. Andronov. Asymptotics of the field diffracted on a smooth convex body near the edge of a nonsingular coustic. Zapiski Nauchnykh Seminarov POMI, Mathematical problems in the theory of wave propagation. Part 18, Tome 173 (1988), pp. 6-19. http://geodesic.mathdoc.fr/item/ZNSL_1988_173_a0/
@article{ZNSL_1988_173_a0,
author = {I. V. Andronov},
title = {Asymptotics of the field diffracted on a smooth convex body near the edge of a nonsingular coustic},
journal = {Zapiski Nauchnykh Seminarov POMI},
pages = {6--19},
year = {1988},
volume = {173},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/ZNSL_1988_173_a0/}
}
TY - JOUR
AU - I. V. Andronov
TI - Asymptotics of the field diffracted on a smooth convex body near the edge of a nonsingular coustic
JO - Zapiski Nauchnykh Seminarov POMI
PY - 1988
SP - 6
EP - 19
VL - 173
UR - http://geodesic.mathdoc.fr/item/ZNSL_1988_173_a0/
LA - ru
ID - ZNSL_1988_173_a0
ER -
%0 Journal Article
%A I. V. Andronov
%T Asymptotics of the field diffracted on a smooth convex body near the edge of a nonsingular coustic
%J Zapiski Nauchnykh Seminarov POMI
%D 1988
%P 6-19
%V 173
%U http://geodesic.mathdoc.fr/item/ZNSL_1988_173_a0/
%G ru
%F ZNSL_1988_173_a0
The standard problem method is applied to construct the acoustic field asymptotics near the edge of the caustic formed by a wave diffracted on a smooth body. The field is represented by a Fresnel part and a background. Explicit formulas for the terms being a submitance of the Fresnel part and the background are obtained. Analiticity of these terms is proved.