Abstract

The axisymmetric true surface waves (infinitely lived) and surface leaky waves (showing finite lifetime) have been found on the inner surface of an infinitely long cylindrical cavity in an isotropic elastic medium with various Poisson's ratios. An analogue of the Rayleigh wave turns out to transform into a bulk wave skimming surface in the long wavelength limit. One of the modes showing torsional polarization is a supersonic leaky wave in the long wavelength limit and a subsonic leaky wave at higher frequencies. Its lifetime increases with frequency. Another leaky wave of mixed radial and axial polarization shows similar behaviour, however, with significantly more pronounced increase in the lifetime. The results may be useful in studies of dynamics of pores and arteries.

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