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Author(s): Kirpichnikova, Anna
Kirpichnikova, Natalia
Title: Creeping waves in the shadow region with the Dirichlet and Neumann conditions
Editor(s): Motygin, OV
Kiselev, AP
Goray, LI
Fedotov, AA
Ya Kazakov, A
Kirpichnikova, AS
Citation: Kirpichnikova A & Kirpichnikova N (2020) Creeping waves in the shadow region with the Dirichlet and Neumann conditions. In: Motygin O, Kiselev A, Goray L, Fedotov A, Ya Kazakov A & Kirpichnikova A (eds.) Proceedings of the International Conference Days on Diffraction 2019. Days on Diffraction 2019, St. Petersburg, Russia, 03.06.2019-07.06.2019. Piscataway, NJ: IEEE, pp. 89-93.
Issue Date: 2-Mar-2020
Conference Name: Days on Diffraction 2019
Conference Dates: 2019-06-03 - 2019-06-07
Conference Location: St. Petersburg, Russia
Abstract: We construct shadow creeping waves in the problem of a plane wave diffraction by a smooth axi-ally symmetric prolate body of revolution for both Dirichlet and Neumann boundary conditions. Using Fock's asymptotics as the initial data for the creeping wave amplitude, the theory of residues allows us to present the wave field in the main approximation.
Status: AM - Accepted Manuscript
Rights: © 2019 IEEE. Personal use of this material is permitted. Permission from IEEE must be obtained for all other uses, in any current or future media, including reprinting/republishing this material for advertising or promotional purposes, creating new collective works, for resale or redistribution to servers or lists, or reuse of any copyrighted component of this work in other works.

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