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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: Franco Gori
  • Vol. 28, Iss. 3 — Mar. 1, 2011
  • pp: 308–313

Gaussian–Schell-model beams propagating through rough gratings

Francisco Jose Torcal-Milla and Luis Miguel Sanchez-Brea  »View Author Affiliations


JOSA A, Vol. 28, Issue 3, pp. 308-313 (2011)
http://dx.doi.org/10.1364/JOSAA.28.000308


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Abstract

In this work we analyze the near-field intensity distribution produced by a rough grating illuminated with a Gaussian–Schell-model beam. This kind of grating is formed by rough and smooth slits. Statistical techniques are used to describe the grating, and the Fresnel approach is used to perform the propagation of light. Two kinds of coherence affect the light propagation. One of them comes from the light beam, since it is not totally coherent. The other one comes from the rough topography of the grating surface. We have found that the Talbot effect is not present just after the grating, but it gradually increases. In addition, the contrast of the self-images decreases from a certain distance due to the coherence properties of the illumination beam. Then, the self-imaging process is only present between two specific distances from the grating. To corroborate the analytical results, we have performed numerical simulations for the mean intensity distribution based on the Sommerfeld–Rayleigh approach, showing their validity.

© 2011 Optical Society of America

OCIS Codes
(030.5770) Coherence and statistical optics : Roughness
(050.0050) Diffraction and gratings : Diffraction and gratings
(050.2770) Diffraction and gratings : Gratings
(290.5880) Scattering : Scattering, rough surfaces

ToC Category:
Physical Optics

History
Original Manuscript: October 13, 2010
Revised Manuscript: December 17, 2010
Manuscript Accepted: December 19, 2010
Published: February 10, 2011

Citation
Francisco Jose Torcal-Milla and Luis Miguel Sanchez-Brea, "Gaussian-Schell-model beams propagating through rough gratings," J. Opt. Soc. Am. A 28, 308-313 (2011)
http://www.opticsinfobase.org/josaa/abstract.cfm?URI=josaa-28-3-308

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