An analytical approach to the reconstruction of the radiating currents in inverse electromagnetic scattering

An analytical approach to inverse electromagnetic scattering is proposed. A two‐dimensional geometry is considered. A closed‐form singular value decomposition of the scattering integral operator is derived and is used to reconstruct the radiating components of the equivalent current density. This is the first step toward a more complete solution that will account for the nonradiating currents, too, and will be used to compute the dielectric features of the body under test. Numerical simulations show the capabilities of the method to reconstruct the radiating current. The model resolution kernel of the scattering operator can be also easily derived. By virtue of the closed‐form solution, results can be achieved in a very short computational time.