Near field of stacked diffraction gratings

We obtain a general analytical formulation for determining the near field produced by N diffraction gratings disposed in stack using a scalar approximation. Parameters of the gratings such as type-amplitude/phase-, fill factors, periods and relative positions between gratings along the x and y axes...

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Bibliographic Details
Authors: Torcal Milla, Francisco José, Sánchez Brea, Luis Miguel, Bernabeu Martínez, Eusebio
Format: article
Publication Date:2013
Country:España
Institution:Universidad Complutense de Madrid (UCM)
Repository:Docta Complutense
Language:English
OAI Identifier:oai:docta.ucm.es:20.500.14352/44269
Online Access:https://hdl.handle.net/20.500.14352/44269
Access Level:Open access
Keyword:535
Diffraction
Diffraction Gratings
Fresnel Approximation
Óptica (Física)
2209.19 Óptica Física
Description
Summary:We obtain a general analytical formulation for determining the near field produced by N diffraction gratings disposed in stack using a scalar approximation. Parameters of the gratings such as type-amplitude/phase-, fill factors, periods and relative positions between gratings along the x and y axes are considered. The obtained formulation is useful for analyzing problems which involve several diffraction gratings, such as optical encoders since it is computationally faster than integral formulations. Finally, analytical results are compared with numerical simulations based on the Rayleigh–Sommerfeld equation.