Inverse scattering problems in subsurface diagnostics of inhomogeneous media

Methods of electromagnetic sounding, tomography and holography of subsurface dielectric inhomogeneities based on measurements of scattered field are considered. Two main statements of inverse scattering problem are studied: first, based on the solution of the nonlinear integral equation for the scattered field that can be solved iteratively beginning with the Born approximation, and second, based on the dual regularization method - a Lagrange approach in the theory of nonlinear ill-posed problems. Some of these methods have been studied experimentally.