A study on Love wave propagation in a transversely isotropic layer with stress free upper surface and underlying rigid base, is presented. The characteristic frequency equation is obtained and frequency dependence of the velocity parameters for different modes is analysed in detail. Several distinctive propagation phenomena which differ considerably from those in isotropic case are listed below:

  1. cut-off frequency shifting by a factor (L1/N1)1/2,

  2. indistinguishability of (n±p) th mode of anisotropic case with nth mode of isotropic case, and

  3. functional dependence on the factor (L1/N1)1/2 of the arrival times and limits of high frequency phase velocities.

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