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Fraunhofer diffraction is a well-known phenomenon achieved with mostwavelength even without lens. A single-shot intensity measurement ofdiffraction is generally considered inadequate to reconstruct the originallight field, because the lost phase part is indispensable for reversetransformation. Phase retrieval is usually conducted in two means: prioriknowledge or multiple different measurements. However, priori knowledge worksfor certain type of object while multiple measurements are difficult for shortwavelength. Here, by introducing non-orthogonal measurement via high densitysampling scheme, we demonstrate that one single-shot Fraunhofer diffractionpattern of complex object is sufficient for phase retrieval. Both simulationand experimental results have demonstrated the feasibility of our scheme.Reconstruction of complex object reveals depth information or refraction index;and single-shot measurement can be achieved under most scenario. Theircombination will broaden the application field of coherent diffraction imaging.

Phase retrieval without prior knowledge via single-shot Fraunhofer diffraction pattern of complex object