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Nanosystems: Physics, Chemistry, Mathematics, 2015, Volume 6, Issue 4, Pages 524–536
DOI: https://doi.org/10.17586/2220-8054-2015-6-4-524-536
(Mi nano965)
 

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

Boundary effect on multiple scattering of elastic waves in a half-space

A. Yu. Val'kovab, V. L. Kuz'minab, V. P. Romanova, M. A. Nikitinaa, V. Meglinskiicd

a Department of Physics, St. Petersburg State University, St. Petersburg, Russia
b Department of Mathematics, St. Petersburg State University of Commerce and Economics, St. Petersburg, Russia
c Department of Physics, University of Otago, Dunedin, New Zealand
d Faculty of Physics, Saratov State University, Saratov, Russia
Full-text PDF (204 kB) Citations (1)
Abstract: The scattering of elastic waves is studied in the vicinity of a vacuum-medium boundary. The Green's function for a half-space is re-derived within the mixed 2D-Fourier representation, which is convenient for studying layered media. Monte-Carlo simulations of elastic wave scattering from random inhomogeneities within a simplified scalar model are performed, accounting for a boundary-induced term in the Green's function. The multiply scattered elastic waves' radiation is shown to decay with distance from the source much slower in vicinity of boundary than in an infinite medium, due to the boundary condition requirements.
Keywords: elastic waves, boundary effect, half-space, multiple scattering, monte-Carlo simulation.
Received: 20.06.2015
Bibliographic databases:
Document Type: Article
PACS: 43.35.Cg, 43.20.Gp, 43.20.Bi, 43.40.Ph
Language: English
Citation: A. Yu. Val'kov, V. L. Kuz'min, V. P. Romanov, M. A. Nikitina, V. Meglinskii, “Boundary effect on multiple scattering of elastic waves in a half-space”, Nanosystems: Physics, Chemistry, Mathematics, 6:4 (2015), 524–536
Citation in format AMSBIB
\Bibitem{ValKuzRom15}
\by A.~Yu.~Val'kov, V.~L.~Kuz'min, V.~P.~Romanov, M.~A.~Nikitina, V.~Meglinskii
\paper Boundary effect on multiple scattering of elastic waves in a half-space
\jour Nanosystems: Physics, Chemistry, Mathematics
\yr 2015
\vol 6
\issue 4
\pages 524--536
\mathnet{http://mi.mathnet.ru/nano965}
\crossref{https://doi.org/10.17586/2220-8054-2015-6-4-524-536}
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\elib{https://elibrary.ru/item.asp?id=24057449}
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  • This publication is cited in the following 1 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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    Nanosystems: Physics, Chemistry, Mathematics
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