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Zapiski Nauchnykh Seminarov POMI, 1997, Volume 239, Pages 95–109 (Mi znsl448)  
This article is cited in 8 scientific papers (total in 8 papers)

Diffraction of the whispering gallery waves near the line of the curvature jump

N. Ya. Kirpichnikova, V. B. Philippov

St. Petersburg Department of V. A. Steklov Institute of Mathematics, Russian Academy of Sciences
Full-text PDF (194 kB) Citations (8)
Abstract: A nonhomogeneous elastic body with a stress-free boundary is considered. The boundary consists of two smooth cylindrical surfaces with a continuous tangent plane but a discontinuity of the curvature on the junction line.
\par The behaviour of the two kinds of the whispering gallery transversal surface waves passing through the junction line is studied. The displacement vector of the first kind (the Dirichlet boundary condition) wave is normal to the boundary and the displacement vector of the second kind (the Neumann boundary condition) wave is tangent to the boundary and normal to the ray, similar to the displacement vector of the Love waves.
Received: 10.10.1996
English version:
Journal of Mathematical Sciences (New York), 1999, Volume 96, Issue 4, Pages 3342–3350
DOI: https://doi.org/10.1007/BF02172810
Bibliographic databases:
UDC: 517.9
Language: Russian
Citation: N. Ya. Kirpichnikova, V. B. Philippov, “Diffraction of the whispering gallery waves near the line of the curvature jump”, Mathematical problems in the theory of wave propagation. Part 26, Zap. Nauchn. Sem. POMI, 239, POMI, St. Petersburg, 1997, 95–109; J. Math. Sci. (New York), 96:4 (1999), 3342–3350
Citation in format AMSBIB
\Bibitem{KirPhi97}
\by N.~Ya.~Kirpichnikova, V.~B.~Philippov
\paper Diffraction of the whispering gallery waves near the line of the curvature jump
\inbook Mathematical problems in the theory of wave propagation. Part~26
\serial Zap. Nauchn. Sem. POMI
\yr 1997
\vol 239
\pages 95--109
\publ POMI
\publaddr St.~Petersburg
\mathnet{http://mi.mathnet.ru/znsl448}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=1700643}
\zmath{https://zbmath.org/?q=an:0945.74037}
\transl
\jour J. Math. Sci. (New York)
\yr 1999
\vol 96
\issue 4
\pages 3342--3350
\crossref{https://doi.org/10.1007/BF02172810}
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    • This publication is cited in the following 8 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
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