On the dispersion of nonstationary surface waves in anisotropic elastic media |
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Authors: | Z. A. Yanson |
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Affiliation: | (1) St.Petersburg Department of the Steklov Mathematical Institute, St.Petersburg, Russia |
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Abstract: | The whispering gallery modes propagating along the surface of an anisotropic elastic body are investigated with the use of space-time caustic expansions and space-time ray series. Each surface mode modulated in amplitude and frequency, is interpreted as a wave packet, with its amplitude’s maximum moving at a group velocity. On the boundary surface, asymptotic expressions for the group velocity (as a function of time and coordinates) are derived, which are in agreement with analogous formulas for Rayleigh waves of SV type in the isotropic case. Bibliography: 6 titles. __________ Translated from Zapiski Nauchnykh Seminarov POMI, Vol. 332, 2006, pp. 299–312. |
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