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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

  • Vol. 13, Iss. 1 — Jan. 1, 1996
  • pp: 119–125

Fractional Talbot effect: analysis in phase space

Markus Testorf and Jorge Ojeda-Castañeda  »View Author Affiliations


JOSA A, Vol. 13, Issue 1, pp. 119-125 (1996)
http://dx.doi.org/10.1364/JOSAA.13.000119


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Abstract

The Fresnel diffraction of periodic objects at rational fractions of the Talbot distance is described in terms of the Wigner distribution function (WDF). The analysis provides a heuristic model for understanding the formation of the diffraction patterns as well as for evaluating the complex amplitude at any fractional Talbot plane. Furthermore, certain symmetry properties of the Fresnel-diffracted wave field can be derived directly from the WDF. Additionally, a discussion is given on how periodic signals and information about the phase are encoded in the WDF.

© 1996 Optical Society of America

History
Original Manuscript: January 13, 1995
Revised Manuscript: July 5, 1995
Manuscript Accepted: July 13, 1995
Published: January 1, 1996

Citation
Markus Testorf and Jorge Ojeda-Castañeda, "Fractional Talbot effect: analysis in phase space," J. Opt. Soc. Am. A 13, 119-125 (1996)
http://www.opticsinfobase.org/josaa/abstract.cfm?URI=josaa-13-1-119

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