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Talbot effect of quasi-periodic grating
Chong Zhang1, Wei Zhang, Furui Li
1The College of Physics and Electronics, Shandong Provincial Key Laboratory of Optics and Photonic Device, Shandong Normal University, Jinan, Shandong 250014, China.
Abstract:
Theoretic and experimental studies of the Talbot effect of quasi-periodic gratings are performed in this paper. The diffractions of periodic and quasi-periodic square aperture arrays in Fresnel fields are analyzed according to the scalar diffraction theory. The expressions of the diffraction intensities of two types of quasi-periodic gratings are deduced. Talbot images of the quasi-periodic gratings are predicted to appear at multiple certain distances. The quasi-periodic square aperture arrays are produced with the aid of a liquid crystal light modulator, and the self-images of the quasi-periodic gratings are measured successfully in the experiment. This study indicates that even a structure in short-range disorder may take on the self-imaging effect in a Fresnel field.
