title: Talbot effect of quasi-periodic grating.
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.
authors.affiliation: The College of Physics and Electronics, Shandong Provincial Key Laboratory of Optics and Photonic Device, Shandong Normal University, Jinan, Shandong 250014, China.
authors.forename: Chong
authors.initials: C
authors.lastname: Zhang
authors.forename: Wei
authors.initials: W
authors.lastname: Zhang
authors.forename: Furui
authors.initials: F
authors.lastname: Li
authors.forename: Junhong
authors.initials: J
authors.lastname: Wang
authors.forename: Shuyun
authors.initials: S
authors.lastname: Teng