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Optics Letters

Optics Letters

| RAPID, SHORT PUBLICATIONS ON THE LATEST IN OPTICAL DISCOVERIES

  • Editor: Anthony J. Campillo
  • Vol. 32, Iss. 15 — Aug. 1, 2007
  • pp: 2079–2081

Analytical expression for phase distribution of a hexagonal array at fractional Talbot planes

Cheng-Shan Guo, Xia Yin, Lin-Wei Zhu, and Zheng-Ping Hong  »View Author Affiliations


Optics Letters, Vol. 32, Issue 15, pp. 2079-2081 (2007)
http://dx.doi.org/10.1364/OL.32.002079


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Abstract

We describe a reciprocal-lattice vector method for analysis of the diffractive self-imaging (or Talbot effect) of a two-dimensional periodic object. Using this method we analyze the fractional Talbot effect of a hexagonal array and deduce a simple analytical expression for calculation of the complex amplitude distribution at any fractional Talbot plane. Based on this new formula, we design a hexagonal array illuminator (HTAI) with a high fractional parameter. A computer simulation for demonstration of the HTAI is also given.

© 2007 Optical Society of America

OCIS Codes
(050.1970) Diffraction and gratings : Diffractive optics
(070.6760) Fourier optics and signal processing : Talbot and self-imaging effects
(230.1360) Optical devices : Beam splitters

ToC Category:
Optical Devices

History
Original Manuscript: April 9, 2007
Revised Manuscript: May 21, 2007
Manuscript Accepted: May 27, 2007
Published: July 16, 2007

Citation
Cheng-Shan Guo, Xia Yin, Lin-Wei Zhu, and Zheng-Ping Hong, "Analytical expression for phase distribution of a hexagonal array at fractional Talbot planes," Opt. Lett. 32, 2079-2081 (2007)
http://www.opticsinfobase.org/ol/abstract.cfm?URI=ol-32-15-2079

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