We report an all-optical computational imager to restore diffuser-distorted images at the speed of light, without a computer. For seeing through random/unknown diffusers, we trained diffractive networks consisting of successive transmissive layers. After its training, the resulting diffractive layers are fabricated, forming a passive optical network, placed behind random, new diffusers to perform all-optical reconstruction of unknown images entirely covered by unknown diffusers. All-optical diffractive reconstructions are completed at the speed of light propagation from the input to the output, do not require power except for illumination, and might find applications in e.g., atmospheric sciences, biomedical imaging, defense/security, among others.
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