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Phase-space refers to simultaneous space-frequency information (e.g. Wigner functions, light fields), which is directly related to spatial coherence properties (e.g. Mutual Intensity). We introduce a binary pupil masking technique that allows us to computationally reconstruct the phase space distribution of optical beams from a series of images. Previous work has shown phase space to be useful for 3D imaging and localization in a multiple scattering environment. Binary masks are easy to implement compared to gray masks or phase masks and the proposed scheme requires no interferometry. After designing the masks with nonredundant arrays, we measure an intensity image for each aperture mask and reconstruct the phase space through an auxiliary coherence function. We demonstrate experimentally the reconstruction of the phase space of a collection of 3D incoherent sources.
Hsiou-Yuan Liu,Nicholas R. Boyd,Fanglin Liu,Benjamin Recht, andLaura Waller
"Computational phase space measurements using multiplexed coded apertures (Conference Presentation)", Proc. SPIE 10222, Computational Imaging II, 1022203 (6 June 2017); https://doi.org/10.1117/12.2265846
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Hsiou-Yuan Liu, Nicholas R. Boyd, Fanglin Liu, Benjamin Recht, Laura Waller, "Computational phase space measurements using multiplexed coded apertures (Conference Presentation)," Proc. SPIE 10222, Computational Imaging II, 1022203 (6 June 2017); https://doi.org/10.1117/12.2265846