Publication:
Far field diffraction of gratings with two roughness levels

Loading...
Thumbnail Image
Full text at PDC
Publication Date
2019-08
Advisors (or tutors)
Editors
Journal Title
Journal ISSN
Volume Title
Publisher
IOP Publishing, Ltd.
Citations
Google Scholar
Research Projects
Organizational Units
Journal Issue
Abstract
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.
Description
© 2019 IOP Publishing Ltd. This work has been performed with the funding of Gobierno de Aragon-Fondo Social Europeo (Grupo de Tecnologia Optica Laser-E44_17R) and Ministerio de Economia y Competitividad (MINECO) 'Ecograb' of 'Programa Estatal de Investigacion, Desarrollo e Innovacion Orientada a los Retos de la Sociedad' (DPI2016-75272-R); co-financed with structural funds of the European Union.
Keywords
Citation
Collections