One-dimensional inverse scattering problem

The inverse problem of electromagnetic scattering of media with one-dimensional permittivity distribution is considered. Two approaches are applied in the study. First is based on the solution of non-linear integral equation for the scattered field; second-involves in analysis the Lagrange formalism applied to initial differential equations (Maxwell´s equations). Based on the developed theory, solution algorithms have been worked out for diagnostics of subsurface permittivity inhomogeneities into multilayer periodic dielectric structures.