000070953 001__ 70953 000070953 005__ 20190828095843.0 000070953 0247_ $$2doi$$a10.1364/AO.56.005253 000070953 0248_ $$2sideral$$a100977 000070953 037__ $$aART-2017-100977 000070953 041__ $$aeng 000070953 100__ $$0(orcid)0000-0003-3178-5253$$aTorcal Milla, Francisco José$$uUniversidad de Zaragoza 000070953 245__ $$aDiffraction by gratings with random fill factor 000070953 260__ $$c2017 000070953 5060_ $$aAccess copy available to the general public$$fUnrestricted 000070953 5203_ $$aIn this work, we analyze the diffraction produced by Ronchi gratings where the fill factor is not constant, but presents random fluctuations around its nominal value. This effect can be produced while developing the grating with etchers since the process can be slightly unpredictable. We obtain the theoretical formalism to describe the intensity produced by the grating at near and far field, showing that smoothing of the self-images is produced at the near field and, consequently, cancellation of higher diffraction orders is obtained at the far field. In addition, different nominal fill factors produce different diffraction behaviors in terms of the randomness. We corroborate the analytical formalism using a direct integration method based on the Rayleigh-Sommerfeld formula and conclude that the numerical results are in high agreement with the theoretical predictions. 000070953 536__ $$9info:eu-repo/grantAgreement/ES/MINECO/RTC-2016-5277-5 000070953 540__ $$9info:eu-repo/semantics/openAccess$$aAll rights reserved$$uhttp://www.europeana.eu/rights/rr-f/ 000070953 590__ $$a1.791$$b2017 000070953 591__ $$aOPTICS$$b49 / 94 = 0.521$$c2017$$dQ3$$eT2 000070953 592__ $$a0.715$$b2017 000070953 593__ $$aElectrical and Electronic Engineering$$c2017$$dQ1 000070953 593__ $$aEngineering (miscellaneous)$$c2017$$dQ1 000070953 593__ $$aAtomic and Molecular Physics, and Optics$$c2017$$dQ2 000070953 655_4 $$ainfo:eu-repo/semantics/article$$vinfo:eu-repo/semantics/acceptedVersion 000070953 700__ $$aSánchez-Brea, Luis Miguel 000070953 7102_ $$12002$$2385$$aUniversidad de Zaragoza$$bDpto. Física Aplicada$$cÁrea Física Aplicada 000070953 773__ $$g56, 18 (2017), 5253-5257$$pAppl. opt. (2004)$$tAPPLIED OPTICS$$x1559-128X 000070953 8564_ $$s2713157$$uhttps://zaguan.unizar.es/record/70953/files/texto_completo.pdf$$yPostprint 000070953 8564_ $$s118637$$uhttps://zaguan.unizar.es/record/70953/files/texto_completo.jpg?subformat=icon$$xicon$$yPostprint 000070953 909CO $$ooai:zaguan.unizar.es:70953$$particulos$$pdriver 000070953 951__ $$a2019-08-28-09:55:58 000070953 980__ $$aARTICLE