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.
© 2013 Optical Society of America
Diffraction and Gratings
Original Manuscript: April 26, 2013
Revised Manuscript: June 2, 2013
Manuscript Accepted: June 17, 2013
Published: July 12, 2013
Chong Zhang, Wei Zhang, Furui Li, Junhong Wang, and Shuyun Teng, "Talbot effect of quasi-periodic grating," Appl. Opt. 52, 5083-5087 (2013)