Single-shot phase retrieval based on beam splitting

A kind of beam-splitting-based single-shot phase retrieval is proposed, where the transmitted field of a sample to be observed is diffracted into many replicas by a Dammann grating and then incident on a weakly scattering phase plate with a known structure, and the exiting beams propagate roughly along their original directions and form a diffraction pattern array on the detector. All sub-diffraction patterns isolated with each other were recorded with a single measurement, and the complex amplitude of the radiation incident on the grating and accordingly transmitted from the sample can be iteratively reconstructed from the recorded diffraction pattern array. Since the weakly scattering plate is accurately measured in advance, fast convergence and high accuracy can be achieved with a small number of sub-diffraction patterns. The feasibility of this proposed method is verified with experiments using visible light.