Inverse diffraction problems for buried objects in the layered elastic media: the anti-plane problem

The authors study direct and inverse scattering problems for buried objects in the stratified layered elastic media. It is assumed that a source load is applied on the upper boundary surface, to generate a certain wave field inside the medium. Then we build the solutions to the direct problems through specially constructed Green’s functions for every considered case. Using the known measured amplitude of the upper boundary oscillations over a certain finite-length interval, the inverse problems in a one-mode frequency range are solved. Some numerical examples demonstrate the stability of the proposed algorithm for the formulated inverse problems.