RT Journal Article T1 Diffraction by random Ronchi gratings A1 Torcal Milla, Francisco José A1 Sánchez Brea, Luis Miguel AB 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. PB Optical Society Of America SN 1559-128X YR 2016 FD 2016-08-01 LK https://hdl.handle.net/20.500.14352/18974 UL https://hdl.handle.net/20.500.14352/18974 LA eng NO © 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. NO Fagor Automation S. Coop NO Universidad Complutense de Madrid (UCM) DS Docta Complutense RD 5 abr 2025