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.
© 2013 Optical Society of America
Full Article | PDF ArticleMore Like This
Andrey A. Goloborodko
J. Opt. Soc. Am. A 39(4) 517-522 (2022)
Junhong Wang, Wei Zhang, Yuwei Cui, and Shuyun Teng
Appl. Opt. 53(10) 2105-2111 (2014)
Shuyun Teng, Xiaoyi Chen, Tongjun Zhou, and Chuanfu Cheng
J. Opt. Soc. Am. A 24(6) 1656-1665 (2007)