Sparsity-based single-shot sub-wavelength coherent diffractive imaging

We suggest and demonstrate experimentally a method of performing single-shot sub-wavelength resolution Coherent Diffractive Imaging (CDI), i.e. algorithmic object reconstruction from far-field intensity measurements. The method is applicable to objects that are sparse in a known basis. The prior knowledge of the object´s sparsity compensates for the loss of high-spatial frequency information associated with free-space propagation, as well as for the loss of phase information (Since only intensity is measured).