Analytical modeling of blazed gratings on two-dimensional pixelated liquid crystal on silicon devices

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Title: Analytical modeling of blazed gratings on two-dimensional pixelated liquid crystal on silicon devices
Authors: Márquez, Andrés | Martínez Guardiola, Francisco Javier | Francés, Jorge | Neipp, Cristian | Ramirez, Manuel G. | Calzado Estepa, Eva María | Morales-Vidal, Marta | Gallego, Sergi | Beléndez, Augusto | Pascual, Inmaculada
Research Group/s: Holografía y Procesado Óptico
Center, Department or Service: Universidad de Alicante. Departamento de Física, Ingeniería de Sistemas y Teoría de la Señal | Universidad de Alicante. Departamento de Óptica, Farmacología y Anatomía | Universidad de Alicante. Instituto Universitario de Física Aplicada a las Ciencias y las Tecnologías
Keywords: Liquid crystal on silicon displays | Parallel aligned | Phase-only modulation | Spatial light modulation | Flicker | Blazed gratings | Diffractive optics | Multiorder element
Knowledge Area: Física Aplicada | Óptica
Issue Date: 17-Feb-2020
Publisher: SPIE, The International Society for Optics and Photonics
Citation: Andrés Márquez, Francisco J. Martínez-Guardiola, Jorge Francés, Cristian Neipp, Manuel G. Ramírez, Eva M. Calzado, Marta Morales-Vidal, Sergi Gallego, Augusto Beléndez, Inmaculada Pascual, "Analytical modeling of blazed gratings on two-dimensional pixelated liquid crystal on silicon devices," Opt. Eng. 59(4) 041208 (17 February 2020)
Abstract: Phase spatial light modulators and, in particular, parallel-aligned liquid crystal on silicon (PA-LCoS) microdisplays are widely used to display programmable diffractive optical elements (DOEs). These are pixelated elements with inherent different characteristics when compared with DOEs produced with micro-optics fabrication techniques. Specifically, programmable DOEs may be affected by the fill factor, time-flicker, fringing-field and interpixel cross talk effects, and limited and quantized modulation depth of the LCoS device. Among the multilevel DOEs, we focus on the important case of the blazed gratings. We develop the corresponding analytical expressions for the diffracted field where, as novelties of this work, fill factor and flicker are introduced together with phase depth and the number of quantization levels. Different experimental-based normalizations are considered, which may lead to wrong conclusions if the fill factor is not considered in the expressions. We also analyze the differences arising between one- and two-dimensional pixelated devices. When compared with numerical procedures, our approach provides an analytical expression that facilitates the design, prediction, and discussion of experiments. As an application, we prove, for the limiting case of no interpixel cross talk, that multiorder DOEs cannot be more efficient than the equivalent single-order DOE. We also show how the results for DOEs with a unit fill factor can be adapted to DOEs with a fill factor smaller than one with a very efficient procedure.
Sponsor: This work was funded by Ministerio de Economía, Industria y Competitividad (Spain), projects FIS2017-82919-R (MINECO/AEI/FEDER, UE) and FIS2015-66570-P (MINECO/FEDER); by Generalitat Valenciana (Spain), project PROMETEO II/2015/015 and GV/2019/021; and Universidad de Alicante (Spain), project GRE17-06.
ISSN: 0091-3286 (Print) | 1560-2303 (Online)
DOI: 10.1117/1.OE.59.4.041208
Language: eng
Type: info:eu-repo/semantics/article
Rights: Copyright 2020 Society of Photo‑Optical Instrumentation Engineers (SPIE). One print or electronic copy may be made for personal use only. Systematic reproduction and distribution, duplication of any material in this publication for a fee or for commercial purposes, and modification of the contents of the publication are prohibited.
Peer Review: si
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