Inverse Electromagnetic Scattering by Using a Semi-analytical Approach. First Step: Reconstruction of the Radiating Currents.

In the present paper a semi-analytical approach to solve the problem of inverse electromagnetic scattering is proposed. The importance of such problem refers to the tomographic reconstruction of dielectric objects. The considered configuration is two-dimensional so that the scattering objects can be assumed to be cylindrical structures along the z axis. The proposed method, based on the inverse "scattering theory", deals with the use of the electromagnetic waves to inspect the dielectric structures. The approach is based on the reconstruction of the radiating (or, in general, the measurable) components of the equivalent current density, by means of a singular value decomposition of the scattering integral operator. By such derived components the scatterers' position has been clearly localized. Furthermore, they will be used to compute the total electrical field in the domain of investigation as well as the dielectric features of the body under test. The method seems to perform well and a notable improvement in the reconstruction is demonstrated by numerical simulations. Finally, it is worthy noting that such tests have been appreciated for the very short computational time.