Near-field electromagnetic holography for arbitrary surfaces using sparse regularization

We consider the problem of back-projecting measured electromagnetic fields within the near-field vicinity of a radiating surface. We approach this challenging ill-posed problem by employing an equivalent source method (ESM) using elementary dipole sources to represent the measured fields. We consider a sparse regularization method for the stabilization of the resulting ill-conditioned systems. The proposed regularization approach is compared to the current state-of-the-art ESM reconstruction method. Numerical experiments show that the proposed sparse regularization technique exhibits higher stability in the reconstruction and better source localization.