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Journal of the Optical Society of America A

Journal of the Optical Society of America A

| OPTICS, IMAGE SCIENCE, AND VISION

  • Editor: Stephen A. Burns
  • Vol. 24, Iss. 6 — Jun. 1, 2007
  • pp: 1656–1665

Quasi-Talbot effect of a grating in the deep Fresnel diffraction region

Shuyun Teng, Xiaoyi Chen, Tongjun Zhou, and Chuanfu Cheng  »View Author Affiliations


JOSA A, Vol. 24, Issue 6, pp. 1656-1665 (2007)
http://dx.doi.org/10.1364/JOSAA.24.001656


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Abstract

Based on the theory of scalar diffraction, the diffraction of gratings in the deep Fresnel diffraction region is developed, and the general formula of the diffraction intensity of the one-dimensional grating is presented by using the Hankel function. Through numerical calculations, some interesting diffraction phenomena are found. In the deep Fresnel diffraction region, the dominant effects, with increasing propagation distance from the grating, are, in order, the geometrical effect, the quasi-geometrical effect, and the interference and diffraction effects. Furthermore, the diffraction intensities vary periodically in the diffraction effect region with increasing propagation distance. Quasi-Talbot imaging of the grating exists in the interference and diffraction regions, and the intensity distributions most similar to the structure of the grating are not at the exact Talbot distances. These phenomena in the deep Fresnel diffraction region are distinct from those in the Fresnel diffraction region. The formation origin of quasi-Talbot imaging of the grating is also discussed, and the numerical calculations powerfully verify the theoretical results.

© 2007 Optical Society of America

OCIS Codes
(050.1960) Diffraction and gratings : Diffraction theory
(070.6760) Fourier optics and signal processing : Talbot and self-imaging effects
(230.1950) Optical devices : Diffraction gratings

ToC Category:
Diffraction and Gratings

History
Original Manuscript: September 25, 2006
Revised Manuscript: November 15, 2006
Manuscript Accepted: December 5, 2006
Published: May 9, 2007

Citation
Shuyun Teng, Xiaoyi Chen, Tongjun Zhou, and Chuanfu Cheng, "Quasi-Talbot effect of a grating in the deep Fresnel diffraction region," J. Opt. Soc. Am. A 24, 1656-1665 (2007)
http://www.opticsinfobase.org/josaa/abstract.cfm?URI=josaa-24-6-1656


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