A Novel Single-Step Approach for Self-Coherent Tomography Using Semidefinite Relaxation

This letter presents a novel single-step approach for self-coherent tomography using semidefinite relaxation. Phase retrieval for scattered fields is not required. The general solver can be used to solve the corresponding convex optimization problem and image the target. Both man-made and experimental data is exploited to demonstrate the performance of the proposed approach. The imaging results illustrate the benefit of bringing the state-of-the-art mathematics to inverse scattering or diffraction tomography.