General optical detection devices rely on converting photons to electrons (current), and do not allow for direct recording of the phase due to the high oscillation frequency. As so, the missing phase can only be recovered from the intensity measurements. The emerging non-convex phase retrieval algorithm, represented by the Wirtinger Flow (WF) algorithm requires multiple-shot coded diffraction patterns (CDPs) for accurate recovery. To achieve the real-time acquisition for multiple CDPs, this paper proposes a 4f imaging system based on an electrically tunable lens (ETL), which can be used for real-time acquisition of multiple-shot CDPs, and can take the advantages of highspeed, high-resolution, extended depth-of-field, high-sensitivity and low-cost imaging. In this paper, the performance of 4f-ETL based imaging system for phase retrieval with multiple CDPs is compared under different iteration times, different object size, different numbers of masks and different noise levels. Numerical experiments demonstrate the effectiveness and superiority of our proposed ETL-based imaging system, and ETL allows variable-distance focusing of imaging and display systems without mechanical structures, which reduces the mechanical complexity and power consumption, improves acquisition speed.
Compressive-sensing-based twin-image-free approach is only capable to achieve twin-image-free reconstruction under 2D-2D imaging model with the full-sampling condition. In this paper, a compressive holography approach with autofocusing from a single-shot subsampled hologram is proposed. On the one hand, a subsampling mechanism is introduced to establish a subsampled compressive holographic imaging model; On the other hand, an eigenvalues-based autofocusing algorithm is combined with compressive-sensing to achieve autofocus reconstruction under subsampling condition in compressive holography. In addition, a multi-scale search algorithm is proposed to improve the accuracy of autofocus. Numerical experiments verify the feasibility of our proposed approach in terms of precisely autofocusing and twin-image-free reconstruction from single-shot subsampled holograms.
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