The inverse scattering problem in the polarization parameter domain: solution via Newton-Kantorovich iterative technique

A novel approach to recovering the complex permittivity distribution of inhomogeneous objects is proposed, with a radially inhomogeneous circular cylinder used as an illustrative example. An essential feature of this approach is that the inverse problem that arises is posed in the polarization parameter domain. This feature is expected to facilitate its practical implementation since all measurements are supposed to be carried out at a fixed observation point and at a fixed frequency. It is assumed that, for a discrete set of polarization states of probing field, two constituents of the scattered field belonging to linearly independent polarizations are registered. The elaborated inversion procedure employ the regularization technique and the Newton-Kantorovich iterative scheme. Numerical results for the case of plane wave illumination and simulated data are presented.<>