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Diffraction by random Ronchi gratings

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Torcal Milla, Francisco José and Sánchez Brea, Luis Miguel (2016) Diffraction by random Ronchi gratings. Applied optics, 55 (22). pp. 5855-5859. ISSN 1559-128X

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Official URL: https://doi.org/10.1364/AO.55.005855


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Abstract

In this work, we obtain analytical expressions for the near-and far-field diffraction of random Ronchi diffraction gratings where the slits of the grating are randomly displaced around their periodical positions. We theoretically show that the effect of randomness in the position of the slits of the grating produces a decrease of the contrast and even disappearance of the self-images for high randomness level at the near field. On the other hand, it cancels high-order harmonics in far field, resulting in only a few central diffraction orders. Numerical simulations by means of the Rayleigh–Sommerfeld diffraction formula are performed in order to corroborate the analytical results. These results are of interest for industrial and technological applications where manufacture errors need to be considered.


Item Type:Article
Additional Information:

© 2016 Optical Society of America.
Funding:
Universidad Complutense de Madrid (UCM), project art. 83 num. 52-2016 with Fagor Automation S. Coop.
Acknowledgment:
In memoriam of J. M. Rico-Garcia. The authors thank A. Luis for his inspirational and encouraging comments.

Uncontrolled Keywords:Diffraction and gratings; Diffraction gratings; Statistical Optics.
Subjects:Sciences > Physics > Optics
ID Code:39231
Deposited On:30 Sep 2016 17:28
Last Modified:01 Aug 2017 23:01

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