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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: Stephen A. Burns
  • Vol. 25, Iss. 10 — Oct. 1, 2008
  • pp: 2390–2394

Self-imaging of gratings with rough strips

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


JOSA A, Vol. 25, Issue 10, pp. 2390-2394 (2008)
http://dx.doi.org/10.1364/JOSAA.25.002390


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Abstract

We analyze the self-imaging process produced by a transmission grating whose strips present two different roughness levels. This kind of grating periodically modulates the transmitted light owing only to the different microtopographic properties of the strips. In spite of the fact that the grating is not purely periodic, it produces a kind of self-image at Talbot distances. These self-images gradually appear as light propagates, but they are not present just after the grating, as occurs in amplitude or phase gratings. There exists a distance from the grating, which depends on the stochastic properties of roughness, from which the contrast of the self-images becomes stable. Important cases are analyzed in detail, such as low- and high-roughness limits. We assume for the calculations that the grating can be used in a mobile system. Simulations using the Rayleigh–Sommerfeld regime have been performed, which confirm the validity of the theoretical approach proposed in this work

© 2008 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:
Diffraction and Gratings

History
Original Manuscript: May 14, 2008
Manuscript Accepted: July 20, 2008
Published: September 3, 2008

Citation
Francisco Jose Torcal-Milla, Luis Miguel Sanchez-Brea, and Eusebio Bernabeu, "Self-imaging of gratings with rough strips," J. Opt. Soc. Am. A 25, 2390-2394 (2008)
http://www.opticsinfobase.org/josaa/abstract.cfm?URI=josaa-25-10-2390

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