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Applied Optics

Applied Optics

APPLICATIONS-CENTERED RESEARCH IN OPTICS

  • Editor: Joseph N. Mait
  • Vol. 49, Iss. 11 — Apr. 10, 2010
  • pp: 2190–2197

Near-field diffraction of gratings with surface defects

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


Applied Optics, Vol. 49, Issue 11, pp. 2190-2197 (2010)
http://dx.doi.org/10.1364/AO.49.002190


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Abstract

Diffraction gratings produce self-images in the near field. Defects on the surface of the grating may occur due to the manufacturing process. These devices are often placed in dirty industrial environments. Dust particles or drops of liquid can be deposited over their surface. In this work, we analyze the effect of surface defects placed over the grating on the self-imaging process. We analytically show how the self-images gradually recover as we separate from the grating when one defect is present. Also a random distribution of surface defects over the grating is analyzed. In particular, we focus on how the contrast of the self-images decreases in terms of the density of the defects. Analytical expressions for the near field are derived, considering a stochastic description of the spatial distribution of defects. In addition, numerical simulations based on the Rayleigh–Sommerfeld formulation are performed to validate the analytical results.

© 2010 Optical Society of America

OCIS Codes
(050.0050) Diffraction and gratings : Diffraction and gratings
(050.1950) Diffraction and gratings : Diffraction gratings
(070.6760) Fourier optics and signal processing : Talbot and self-imaging effects

ToC Category:
Diffraction and Gratings

History
Original Manuscript: November 4, 2009
Revised Manuscript: January 27, 2010
Manuscript Accepted: February 25, 2010
Published: April 7, 2010

Citation
Luis Miguel Sanchez-Brea and Francisco Jose Torcal-Milla, "Near-field diffraction of gratings with surface defects," Appl. Opt. 49, 2190-2197 (2010)
http://www.opticsinfobase.org/ao/abstract.cfm?URI=ao-49-11-2190

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