129846 20240112163659.0 doi 10.1088/2040-8986/ab2bdf sideral 113064 ART-2019-113064 eng Torcal-Milla, F.J. Universidad de Zaragoza (orcid)0000-0003-3178-5253 Far field diffraction of gratings with two roughness levels 2019 We investigate the far field diffraction process produced by diffraction gratings with two roughness levels, such as steel tape gratings, which are used in environments where diffraction gratings made of glass are not possible. We obtain the analytical formulation describing the formation of diffraction orders in terms of the roughness parameters. Since roughness is stochastic, we use the mutual coherence function to propagate the field to the Fraunhofer regime. We conclude that diffraction orders exists when at least one correlation length of both roughness is larger than the period of the grating and the standard deviation on heights is around or larger than the illumination wavelength. Finally, we corroborate the analytical results with numerical simulations based on the fast Fourier transform, showing a high agreement. Access copy available to the general public Unrestricted info:eu-repo/grantAgreement/ES/DGA-FEDER/E44-17R info:eu-repo/grantAgreement/ES/MINECO/DPI2016-75272-R info:eu-repo/semantics/openAccess by-nc-nd http://creativecommons.org/licenses/by-nc-nd/3.0/es/ 2.379 2019 OPTICS 40 / 97 = 0.412 2019 Q2 T2 1.167 2019 Electronic, Optical and Magnetic Materials 2019 Q1 Atomic and Molecular Physics, and Optics 2019 Q1 info:eu-repo/semantics/article info:eu-repo/semantics/acceptedVersion Sanchez-Brea, L.M. 2002 385 Universidad de Zaragoza Dpto. Física Aplicada Área Física Aplicada 21, 8 (2019), 085605 [6 pp] J. opt. Journal of Optics (United Kingdom) 2040-8978 4151874 http://zaguan.unizar.es/record/129846/files/texto_completo.pdf Postprint 1532983 http://zaguan.unizar.es/record/129846/files/texto_completo.jpg?subformat=icon icon Postprint oai:zaguan.unizar.es:129846 articulos driver 2024-01-12-14:07:48 ARTICLE