The Closed-Form Solution to the Reconstruction of the Radiating Current for EM Inverse Scattering

The closed-form solution to the reconstruction of radiating current with a line measurement configuration is presented in this paper. The analytical result of the continuous singular value decomposition of the scattering integral operator is derived and used to analyze the imaging resolution and reconstruct the radiating component of the equivalent current density. The main four advantages of the proposed closed-form solution are as follows: 1) The reconstruction of radiating current can be achieved in a very short computation time; 2) it is quite tolerant to different levels of noises; 3) it is very easy to realize the reconstruction of radiating currents within the obstacles embedded in layered medium; and 4) the imaging resolution kernel of the scattering operator can also be derived in a closed form. Numerical simulations show the high efficiency of the proposed method for the reconstruction of radiating current.