Occurrence of Precursors of PKP Waves in the Layered Radial-Symmetric Earth

It is generally accepted that PKP precursor waves arriving ahead of PKP-waves observed in real data are explained by scattering on small-scale inhomogeneities in the lower mantle. In this paper, a stable analytical solution (without interference) was obtained for the field of longitudinal waves in a layered (discrete) ball of planetary size. The calculations of the total wave field, rays, and travel-time curves of longitudinal waves for the...