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Diffraction of whispering gallery waves by a conjunction line

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Abstract

A nonhomogeneous elastic body with stress-free boundary is considered. The boundary consists of two smooth cylindrical surfaces with continuous tangent plane. The curvature of the boundary is assumed to have a discontinuity on the conjunction line. The behavior of two kinds of transversal surface whispering gallery waves passing through the conjunction line is studied. For a wave of the first kind, corresponding to the Dirichlet boundary condition, the displacement vector is normal to the boundary. For a wave of the second kind, corresponding to the Neumann boundary condition, the displacement vector is tangent to the boundary and normal to the ray, which is similar to the case of Love waves.

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Authors
  1. N. Ya. Kirpichnikova
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  2. V. B. Philippov
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Additional information

Translated fromZapiski Nauchnykh Seminarov POMI, Vol. 239, 1997, pp. 95–109.

This work was supported by the Russian Foundation for Basic Research under grant No. 96-01-00666.

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Kirpichnikova, N.Y., Philippov, V.B. Diffraction of whispering gallery waves by a conjunction line. J Math Sci 96, 3342–3350 (1999). https://doi.org/10.1007/BF02172810

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  • DOI: https://doi.org/10.1007/BF02172810

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