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We present novel methods to perform plenoptic imaging at the diffraction limit by measuring intensity correlations of light. The first method is oriented towards plenoptic microscopy, a promising technique which allows refocusing and depth-of-field enhancement, in post-processing, as well as scanning free 3D imaging. To overcome the limitations of standard plenoptic microscopes, we propose an adaptation of Correlation Plenoptic Imaging (CPI) to the working conditions of microscopy. We consider and compare different architectures of CPI microscopes, and discuss the improved robustness with respect to previous protocols against turbulence around the sample. The second method is based on measuring correlations between the images of two reference planes, arbitrarily chosen within the tridimensional scene of interest, providing an unprecedented combination of image resolution and depth of field. The results lead the way towards the realization of compact designs for CPI devices., Comment: 8 pages, 2 figures. arXiv admin note: text overlap with arXiv:2007.12033

Light-field microscopy represents a promising solution for microscopic volumetric imaging, thanks to its capability to encode information on multiple planes in a single acquisition. This is achieved through its peculiar simultaneous capture of information on light spatial distribution and propagation direction. However, state-of-the-art light-field microscopes suffer from a detrimental loss of spatial resolution compared to standard microscopes. We propose and experimentally demonstrate a light-field microscopy architecture based on light intensity correlation, in which resolution is limited only by diffraction. We demonstrate the effectiveness of our technique in refocusing three-dimensional test targets and biological samples out of the focused plane. We improve the depth of field by a factor 6 with respect to conventional microscopy, at the same resolution, and obtain, from one acquired correlation image, about $130,000$ images, all seen from different perspectives; such multi-perspective images are employed to reconstruct over $40$ planes within a $1 \,\mathrm{mm}^3$ sample with a diffraction-limited resolution voxel of $20 \times 20 \times 30\ \mu\mathrm{m}^3$., Comment: 14 pages, 10 figures