Near-field inverse coherent imaging problems: solutions, simulations and applications

This work presents a rigorous mathematical derivation of an effective approximate solution to the near-field 3-D inverse scattering/imaging problem. The model system operates in a synthetic aperture type mode, where the coherent signals are transmitted, and the scattered signals are subsequently received at individual transmitters and receivers. Simulation results show that the point spread function obtained from the algorithmic reconstruction are in close accord with the ground truth point spread function for scatterers located in both the near and far field of the coherent aperture.