Imaging through random scatterer is a challenging problem due to spatial scrambling of the light wavefront and formation of the speckle pattern. Here, we present a new experimental configuration in holography with a two-point intensity correlation to reconstruct the orthogonal polarization modes from a single shot measurement of the speckle pattern.A speckle free orthogonal polarization modes are reconstructed by applying the ensemble averaging in the correlation analysis. Both orthogonal polarization components of the object are simultaneously reconstructed using an edge point referencing for holography with the coherence waves and with a specially designed tunable beam displacer. This tunable beam displacer supports independent recording of the orthogonally polarized speckles at different spatial locations, and hence supports simultaneous reconstruction the orthogonal polarization components of the object from the random light.

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We present a ghost diffraction scheme with spatially fluctuating fields. This is implemented by replacing ensemble average with spatial average rather than temporal average as used in conventional ghost diffraction schemes.

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We propose and demonstrate a holographic imaging scheme exploiting random illuminations for recording hologram and then applying numerical reconstruction and twin image removal. We use an in-line holographic geometry to record the hologram in terms of the second-order correlation and apply the numerical approach to reconstruct the recorded hologram. This strategy helps to reconstruct high-quality quantitative images in comparison to the conventional holography where the hologram is recorded in the intensity rather than the second-order intensity correlation. The twin image issue of the in-line holographic scheme is resolved by an unsupervised deep learning based method using an auto-encoder scheme. Proposed learning technique leverages the main characteristic of autoencoders to perform blind single-shot hologram reconstruction, and this does not require a dataset of samples with available ground truth for training and can reconstruct the hologram solely from the captured sample. Experimental results are presented for two objects, and a comparison of the reconstruction quality is given between the conventional inline holography and the one obtained with the proposed technique.