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Optics Express

Optics Express

  • Editor: J. H. Eberly
  • Vol. 2, Iss. 5 — Mar. 2, 1998
  • pp: 169–172

Fractional Talbot effect in phase space: A compact summation formula

Konrad Banaszek, Krzysztof Wódkiewicz, and Wolfgang P. Schleich  »View Author Affiliations


Optics Express, Vol. 2, Issue 5, pp. 169-172 (1998)
http://dx.doi.org/10.1364/OE.2.000169


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Abstract

A phase space description of the fractional Talbot effect, occurring in a one–dimensional Fresnel diffraction from a periodic grating, is presented. Using the phase space formalism a compact summation formula for the Wigner function at rational multiples of the Talbot distance is derived. The summation formula shows that the fractional Talbot image in the phase space is generated by a finite sum of spatially displaced Wigner functions of the source field.

© Optical Society of America

OCIS Codes
(070.6760) Fourier optics and signal processing : Talbot and self-imaging effects
(270.1670) Quantum optics : Coherent optical effects

ToC Category:
Research Papers

History
Original Manuscript: November 14, 1997
Revised Manuscript: November 6, 1997
Published: March 2, 1998

Citation
Konrad Banaszek, Krzysztof Wodkiewicz, and Wolfgang Peter Schleich, "Fractional Talbot effect in phase space: A compact summation formula," Opt. Express 2, 169-172 (1998)
http://www.opticsinfobase.org/oe/abstract.cfm?URI=oe-2-5-169


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References

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