An Inexact-Newton Algorithm for Tomographic Microwave Imaging

In this paper an Inexact Newton method is applied to solve the electromagnetic inverse scattering problem. Such algorithm is composed by two nested loops: in the outer one the nonlinear scat- tering equations are linearized and in the inner one the linearized equation is solved by means of a truncated Landweber method. In particular, the tomographic arrangement is considered to reconstruct dielectric targets in noisy environments, by exploiting the regularizing properties of the proposed approach.