A Newton-conjugate-gradient method in Lp Banach spaces for three-dimensional microwave imaging

Microwave imaging is a diagnostic technique for inspecting dielectric and conducting materials based on electromagnetic scattering. Although usually developed with reference to two-dimensional configurations (tomography), it allows a quite“natural” extension to three-dimensional targets. In this paper, a full-wave three-dimensional approach is developed. The inverse scattering problem is solved, in a regularized way, by using a Newton-conjugate-gradient method. The main novelty concerns the nonconventional framework in which the approach is developed, i.e., the Lp Banach spaces. The paper describes the mathematical formulation of the method. Moreover, numerical results are reported and discussed in order to assess the capabilities and limitations of the proposed technique.