Diffraction of gratings with rough edges



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Torcal Milla, Francisco José and Sánchez Brea, Luis Miguel and Bernabeu Martínez, Eusebio (2008) Diffraction of gratings with rough edges. Optics Express, 16 (24). pp. 19759-19767. ISSN 1094-4087

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Official URL: http://dx.doi.org/10.1364/OE.16.019757


We analyze the far field and near field diffraction pattern produced by an amplitude grating whose strips present rough edges. Due to the stochastic nature of the edges a statistical approach is performed. The grating with rough edges is not purely periodic, although it still divides the incident beam in diffracted orders. The intensity of each diffraction order is modified by the statistical properties of the irregular edges and it strongly decreases when roughness increases except for the zero-th diffraction order. This decreasing firstly affects to the higher orders. Then, it is possible to obtain an amplitude binary grating with only diffraction orders -1, 0 and +1. On the other hand, numerical simulations based on Rayleigh-Sommerfeld approach have been used for the case of near field. They show that the edges of the self-images are smoother than the edges of the grating. Finally, we fabricate gratings with rough edges and an experimental verification of the results is performed.

Item Type:Article
Additional Information:

© 2008 Optical Society of America.
This work has been supported by the DPI2005-02860 project of the Ministerio de Educación y Ciencia of Spain and a CENIT project "Tecnologías avanzadas para los equipos y procesos de fabricación de 2015: e-eficiente, e-cológica, e-máquina (eEe)" of the Ministerio de Industria, Turismo y Comercio.

Uncontrolled Keywords:Far-Field, Polarization Gratings, Light-Scattering, Surfaces
Subjects:Sciences > Physics > Optics
ID Code:26243
Deposited On:17 Jul 2014 11:57
Last Modified:17 Jul 2014 11:57

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