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.

© 2016 Optical Society of America

Diffraction by gratings with random fill factor

Francisco Jose Torcal-Milla and Luis Miguel Sanchez-Brea
Appl. Opt. 56(18) 5253-5257 (2017)

Effect of random grating pit displacements on the Talbot image

Andrey A. Goloborodko
J. Opt. Soc. Am. B 39(4) 1021-1026 (2022)

Near-field diffraction of gratings with surface defects

Luis Miguel Sanchez-Brea and Francisco Jose Torcal-Milla
Appl. Opt. 49(11) 2190-2197 (2010)

Diffraction of gratings with rough edges

Francisco Jose Torcal-Milla, Luis Miguel Sanchez-Brea, and Eusebio Bernabeu
Opt. Express 16(24) 19757-19769 (2008)

Effect of fabrication errors on the diffraction pattern produced by sawtooth gratings

Francisco Jose Torcal-Milla, Irina Harder, and Norbert Lindlein
Appl. Opt. 49(9) 1599-1606 (2010)