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   https://doi.org/10.1364/OL.394033  

   Tian, Xiaobo; Liang, Rongguang (June 2020, Optics Letters)

   We propose a novel and simple snapshot phase-shifting diffraction phase microscope with a polarization grating and spatial phase-shifting technology. Polarization grating separates the incident beam into left and right circular polarization beams, one of which is used as the reference beam after passing through a pinhole. Four phase-shifted interferograms can be captured simultaneously from the polarization camera to reconstruct the high spatial resolution phase map. The principle is presented in this Letter, and the performance of the proposed system is demonstrated experimentally. Due to the near-common-path configuration and snapshot feature, the proposed system provides a feasible way for real-time quantitative phase measurement with minimal sensitivity to vibration and thermal disturbance. 

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2. Low-coherence snapshot phase-shifting diffraction phase microscope

   https://doi.org/10.1016/j.optlaseng.2023.107618  

   Sun, Yuanyuan; Wang, Yihan; Wang, Daodang; Pau, Stanley; Liang, Rongguang (August 2023, Optics and Lasers in Engineering)

   We proposed a Wollaston-prism-based snapshot phase-shifting diffraction phase microscope (WP-SPDPM) for low-coherence snapshot quantitative phase imaging and videography. Wollaston prism separates two orthogonally linearly polarized beams with high degrees of polarization at a sufficiently small separation angle; one of the beams passing through a pinhole serves as the reference beam. Four phase-shifted interferograms are simultaneously acquired with a polarization camera to accurately retrieve a high spatial resolution phase map. The system is nearly common-path in configuration and can achieve a large slope range and high accuracy. In addition to the ability to resist environmental noise, the WP-SPDPM is suitable for phase measurement using low-coherence light. The accuracy and large measurable slope range of the proposed system is validated and compared experimentally with a commercial profilometer. We believe WP-SPDPM is a powerful tool for the accurate and robust quantitative phase measurement and has a significant potential of the real-time phase imaging. 

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3. Frame Phase-Retrievability and Exact Phase-Retrievable Frames

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   Han, Deguang; Juste, Ted; Li, Youfa; Sun, Wenchang (December 2019, Journal of Fourier Analysis and Applications)
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   Longhi, Stefano; Feng, Liang (February 2023, Physical Review B)