A Newton-Conjugate-Gradient Method in Lp Banach Spaces for Three-Dimensional Microwave Imaging

摘要

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 L^{P 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.}