Zapiski Nauchnykh Seminarov POMI, Interference waves in layered media. Part I, Tome 99 (1980), pp. 127-137
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A. B. Plachenov. Nonstationary modes of a thin and curved waveguide in a multiray zone (the uniform asymptotics). Zapiski Nauchnykh Seminarov POMI, Interference waves in layered media. Part I, Tome 99 (1980), pp. 127-137. http://geodesic.mathdoc.fr/item/ZNSL_1980_99_a11/
@article{ZNSL_1980_99_a11,
author = {A. B. Plachenov},
title = {Nonstationary modes of a~thin and curved waveguide in a~multiray zone (the uniform asymptotics)},
journal = {Zapiski Nauchnykh Seminarov POMI},
pages = {127--137},
year = {1980},
volume = {99},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/ZNSL_1980_99_a11/}
}
TY - JOUR
AU - A. B. Plachenov
TI - Nonstationary modes of a thin and curved waveguide in a multiray zone (the uniform asymptotics)
JO - Zapiski Nauchnykh Seminarov POMI
PY - 1980
SP - 127
EP - 137
VL - 99
UR - http://geodesic.mathdoc.fr/item/ZNSL_1980_99_a11/
LA - ru
ID - ZNSL_1980_99_a11
ER -
%0 Journal Article
%A A. B. Plachenov
%T Nonstationary modes of a thin and curved waveguide in a multiray zone (the uniform asymptotics)
%J Zapiski Nauchnykh Seminarov POMI
%D 1980
%P 127-137
%V 99
%U http://geodesic.mathdoc.fr/item/ZNSL_1980_99_a11/
%G ru
%F ZNSL_1980_99_a11
The propagation of nonstationary modes in a thin waveguide with variable properties is considered in case of a space-time caustics presence. A connection of the cut-off section with these caustics is revealed. The uniform asymptotical formulas in a multiray zone are obtained and their transformation into formulas of the geometrical optics out of the caustics neughbourhood is observed.