Theoretic and experimental studies of the Talbot effect for aberrated optical wave is performed. The diffractions of periodic and quasi-periodic square aperture arrays in Fresnel fields are analyzed according to the scalar diffraction theory. Talbot images of the quasi-periodic mask restored by aberrated optical wave are predicted to appear, and scale factors are obtained. The quasi-periodic square aperture arrays are produced with the aid of a spatial light modulator, and the self-images of the quasi-periodic gratings are measured successfully in the experiment.
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