RT Journal Article T1 Near field of stacked diffraction gratings A1 Torcal Milla, Francisco José A1 Sánchez Brea, Luis Miguel A1 Bernabeu Martínez, Eusebio AB 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. PB Gustav Fischer Verlag SN 0030-4026 YR 2013 FD 2013 LK https://hdl.handle.net/20.500.14352/44269 UL https://hdl.handle.net/20.500.14352/44269 LA eng NO © 2013 Elsevier GmbH.This work has been partially supported by projects DPI2011-27851 and INNPACTO “FORE”, IPT-020000-2010-9 of the Ministerio de Ciencia e Innovación of Spain. NO Ministerio de Ciencia e Innovación (MICINN), España DS Docta Complutense RD 6 abr 2025