SCATTERING OF ACOUSTIC WAVES ON FREE SURFACE PERTURBATIONS IN AN ELASTIC HALF-SPACE.

Considers a semi-finite, homogeneous and linearly elastic medium with a perturbed free surface. The perturbation is material loss. Using the Green function method, the first Born approximation is found for the field of displacements dependent harmonically on time and subsequently and magnitude of scattering on the perturbation are thus defined for any mode occurring in a semi-infinite, homogeneous and linearly elastic medium. In addition, the case of perturbation described by periodic functions, which is essential in practice, is analyzed.