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Contour integral solutions of the parabolic wave equation - MaRDI portal

Contour integral solutions of the parabolic wave equation (Q2191909)

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scientific article; zbMATH DE number 7215311

Language	Label	Description	Also known as
English	Contour integral solutions of the parabolic wave equation	scientific article; zbMATH DE number 7215311

Statements

scholarly article

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Contour integral solutions of the parabolic wave equation (English)

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David P. Hewett

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John R. Ockendon

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Valery P. Smyshlyaev

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publication date

26 June 2020

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full work available at URL

https://arxiv.org/abs/1806.02294

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zbMATH Keywords

parabolic wave equation

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paraxial approximation

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canonical inflection point problem

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MaRDI profile type

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Thin-layer solutions of the Helmholtz and related equations

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Problem of whispering gallery waves in a neighborhood of a simple zero of the effective curvature of the boundary

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Numerical solution of the problem on whispering gallery waves in a neighborhood of a simple zero of the effective curvature of the boundary

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Whispering-gallery waves in a neighborhood of an inflection point of the boundary. Asymptotics of the wave field as t\(\to \infty\)

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Direction diagram of radiation in the problem of an inflection point of the boundary

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Scattering problem for the Schrödinger equation in the case of a potential linear in time and coordinate. I: Asymptotics in the shadow zone

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The scattering problem for the Schrödinger equation with a potential linear in time and in space. II: Correctness, smoothness, behavior of the solution at infinity

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Special function related to the concave convex boundary problem of the diffraction theory

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Whispering gallery waves in a neighborhood of a flat point of a concave boundary

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Whispering gallery waves in a neighborhood of a higher order zero of the curvature of the boundary

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Special function related to the scattering of the whispering gallery mode at a point of local straightening

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Construction of uniform asymptotic solutions of wave-type differential equations by methods of catastrophe theory

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NIST digital library of mathematical functions

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Tangent ray diffraction and the pekeris caret function

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Sound radiation from a cylindrical duct. Part 1. Ray structure of the duct modes and of the external field

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On the Theory of Complex Rays

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The Stokes set of the cusp diffraction catastrophe

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A method for the numerical evaluation of the oscillatory integrals associated with the cuspoid catastrophes: application to Pearcey's integral and its derivatives

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An adaptive contour code for the numerical evaluation of the oscillatory cuspoid canonical integrals and their derivatives.

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Scalar wave diffraction by tangent rays.

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Scattering of a plane electromagnetic wave by a hollow circular cone with thin semi-transparent walls

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Identifiers

Mathematics Subject Classification ID

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zbMATH DE Number

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10.1016/J.WAVEMOTI.2018.09.015

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Sitelinks

Mathematics(1 entry)

mardi Publication:2191909

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