Accurate, Efficient and Rigorous Numerical Analysis of 3D H-PDLC Gratings

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Title: Accurate, Efficient and Rigorous Numerical Analysis of 3D H-PDLC Gratings
Authors: Francés, Jorge | Bleda, Sergio | Puerto, Daniel | Gallego, Sergi | Márquez, Andrés | Neipp, Cristian | Pascual, Inmaculada | Beléndez, Augusto
Research Group/s: Holografía y Procesado Óptico
Center, Department or Service: Universidad de Alicante. Instituto Universitario de Física Aplicada a las Ciencias y las Tecnologías | Universidad de Alicante. Departamento de Física, Ingeniería de Sistemas y Teoría de la Señal | Universidad de Alicante. Departamento de Óptica, Farmacología y Anatomía
Keywords: H-PDLC | FDTD | Diffraction efficiency | LD director distribution | Frank elastic free energy
Knowledge Area: Física Aplicada | Óptica
Date Created: 13-Jul-2020
Issue Date: 23-Aug-2020
Publisher: MDPI
Citation: Francés J, Bleda S, Puerto D, Gallego S, Márquez A, Neipp C, Pascual I, Beléndez A. Accurate, Efficient and Rigorous Numerical Analysis of 3D H-PDLC Gratings. Materials. 2020; 13(17):3725.
Abstract: This work presents recent results derived from the rigorous modelling of holographic polymer-dispersed liquid crystal (H-PDLC) gratings. More precisely, the diffractive properties of transmission gratings are the focus of this research. This work extends previous analysis performed by the authors but includes new features and approaches. More precisely, full 3D numerical modelling was carried out in all analyses. Each H-PDLC sample was generated randomly by a set of ellipsoid geometry-based LC droplets. The liquid crystal (LC) director inside each droplet was computed by the minimisation of the Frank elastic free energy as a function of the applied electric field. The analysis carried out considered the effects of Frank elastic constants K11, K22 and K33; the anchoring strength W0; and even the saddle-splay constant K24. The external electric field induced an orientation of the LC director, modifying the optical anisotropy of the optical media. This effect was analysed using the 3D split-field finite-difference time-domain (SF-FDTD) method. In order to reduce the computational costs due to a full 3D tensorial analysis, a highly optimised method for high-performance computing solutions (HPC) was developed. The influences of the anchoring and voltage on the diffraction efficiencies were investigated, showing the potential of this approach.
Sponsor: The work was supported by the "Ministerio de Ciencia e Innovación" of Spain under projects FIS2017-82919-R and PID2019-106601RB-I00, by the "Conselleria de Innovación, Universidades, Ciencia y Sociedad Digital" of the Generatitat Valenciana under project GV/2019/021 and by the "Universidad de Alicante" under project UATALENTO18-10.
ISSN: 1996-1944
DOI: 10.3390/ma13173725
Language: eng
Type: info:eu-repo/semantics/article
Rights: © 2020 by the authors. Licensee MDPI, Basel, Switzerland. This article is an open access article distributed under the terms and conditions of the Creative Commons Attribution (CC BY) license (
Peer Review: si
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