In particular, the optical memory effect 12, 13 tells us that the speckle pattern we get when coherent light passes through a slab of scattering material 14, 15 is strongly correlated with the speckle pattern we get if we illuminate the scattering slab from a different angle 16, 17, 18, 19. On the other hand, reconstructing an unknown image through a strongly scattering medium is a difficult and still largely open problem 10, 11.Ī possible approach to this problem is based on the idea that there are universal correlations in the scattered light, that does not depend on the fine details of the medium. Knowledge of the exact distortion, the presence of objects of known shape, or strong priors on what the image should look like, allow for the detected image to be corrected and the desired information restored 6, 7, 8, 9. If the scattering is weak enough, there is a significant fraction of the light that is left unscattered and that can be used to form a sharp image 2, 3, 4, but for strongly scattering media it becomes impossible to filter out the unwanted signal 5. This approach requires light to propagate in straight lines, and as soon as the medium between the object and the detector is inhomogeneous, the resulting image is distorted or blurred 1. magnified or filtered) version of the intensity profile on the object plane. Most optical imaging systems, including our eyes, use a lens system to reproduce on the detector an appropriately modified (e.g.
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