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Zh. Vychisl. Mat. Mat. Fiz., 2015, Volume 55, Number 11, Pages 1904–1920 (Mi zvmmf10300)  

This article is cited in 1 scientific paper (total in 1 paper)

Interference head wave in diffraction of waves from a point source by an inhomogeneous half-plane

A. A. Matskovskiy

St. Petersburg National Research University of Information Technologies, Mechanics, and Optics, Kronverkskii pr. 49, St. Petersburg, 197101, Russia

Abstract: Diffraction of two-dimensional waves created by a point source located over a half-plane with a linearly decreasing squared wave number is considered. The exact solution of the problem is constructed, and a method for extracting the short-wave asymptotics of an interference head wave from this solution is proposed.

Key words: wave diffraction, point source, interference head wave, whispering gallery modes, exact solution of the diffraction wave equation.

Funding Agency Grant Number
Ministry of Education and Science of the Russian Federation 11.G34.31.0026


DOI: https://doi.org/10.7868/S0044466915110125

Full text: PDF file (310 kB)
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English version:
Computational Mathematics and Mathematical Physics, 2015, 55:11, 1867–1883

Bibliographic databases:

UDC: 519.634
MSC: 78A45
Received: 03.12.2014
Revised: 25.02.2015

Citation: A. A. Matskovskiy, “Interference head wave in diffraction of waves from a point source by an inhomogeneous half-plane”, Zh. Vychisl. Mat. Mat. Fiz., 55:11 (2015), 1904–1920; Comput. Math. Math. Phys., 55:11 (2015), 1867–1883

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    Citing articles on Google Scholar: Russian citations, English citations
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    This publication is cited in the following articles:
    1. G. L. Zavorokhin, A. A. Matskovskii, “Nestatsionarnaya zadacha difraktsii voln tochechnogo istochnika na granitse razdela dvukh poluploskostei s polozhitelnoi effektivnoi kriviznoi”, Matematicheskie voprosy teorii rasprostraneniya voln. 49, Zap. nauchn. sem. POMI, 483, POMI, SPb., 2019, 69–78  mathnet
  • Журнал вычислительной математики и математической физики Computational Mathematics and Mathematical Physics
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