We developed compressive self-interference digital holographic approach that allows retrieving three-dimensional information of the spatially incoherent objects from single-shot captured hologram. The Fresnel incoherent correlation holography is combined with parallel phase-shifting technique to instantaneously obtain spatial-multiplexed phase-shifting holograms. The recording scheme is regarded as compressive forward sensing model, thus the compressive-sensing-based reconstruction algorithm is implemented to reconstruct the original object from the under sampled demultiplexed sub-holograms. The concept was verified by simulations and experiments with simulating use of the polarizer array. The proposed technique has great potential to be applied in 3D tracking of spatially incoherent samples.
Yuhong Wan, Tianlong Man, Ying Han, Hongqiang Zhou, and Dayong Wang, "Compressive self-interference Fresnel digital holography with faithful reconstruction," Proc. SPIE 10233, Holography: Advances and Modern Trends V, 102331J (Presented at SPIE Optics + Optoelectronics: April 27, 2017; Published: 15 May 2017); https://doi.org/10.1117/12.2265960.
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