Zapiski Nauchnykh Seminarov POMI, Mathematical problems in the theory of wave propagation. Part 31, Tome 285 (2002), pp. 53-57
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V. V. Borisov. Generating functions of the focus wave modes Bessel–Gauss type. Zapiski Nauchnykh Seminarov POMI, Mathematical problems in the theory of wave propagation. Part 31, Tome 285 (2002), pp. 53-57. http://geodesic.mathdoc.fr/item/ZNSL_2002_285_a4/
@article{ZNSL_2002_285_a4,
author = {V. V. Borisov},
title = {Generating functions of the focus wave modes {Bessel{\textendash}Gauss} type},
journal = {Zapiski Nauchnykh Seminarov POMI},
pages = {53--57},
year = {2002},
volume = {285},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/ZNSL_2002_285_a4/}
}
TY - JOUR
AU - V. V. Borisov
TI - Generating functions of the focus wave modes Bessel–Gauss type
JO - Zapiski Nauchnykh Seminarov POMI
PY - 2002
SP - 53
EP - 57
VL - 285
UR - http://geodesic.mathdoc.fr/item/ZNSL_2002_285_a4/
LA - ru
ID - ZNSL_2002_285_a4
ER -
%0 Journal Article
%A V. V. Borisov
%T Generating functions of the focus wave modes Bessel–Gauss type
%J Zapiski Nauchnykh Seminarov POMI
%D 2002
%P 53-57
%V 285
%U http://geodesic.mathdoc.fr/item/ZNSL_2002_285_a4/
%G ru
%F ZNSL_2002_285_a4
Applying Bateman's transform to expansions of the plane and spherical waves in terms of the simple solutions to the wave equation we get the localized waves of Bessel-Gauss type. Generating functions of the waves are obtained too.