The scattering of plane waves in inhomogeneous half-space Original Research Article

Propagation of plane waves is studied in the vertical inhomogeneous half-space, the mechanical properties of which depend only on depth. The theorems on the solvability of the corresponding direct initial-boundary value problems are formulated. The class of 1D inverse problems including, in particular, the classical inverse problem of the scattering theory is also considered. The equivalence of all these problems is proved and an effective method to solve them is presented.