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Open AccessArticle

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

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Instituto Universitario de Física Aplicada a las Ciencias y las Tecnologías, Universidad de Alicante, 99, 03080 Alicante, Spain
2
Departamento de Física, Ing. de Sistemas y Teoría de la Señal, Universidad de Alicante, 99, 03080 Alicante, Spain
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Departamento de Óptica, Farmacología y Anatomía, Universidad de Alicante, 99, 03080 Alicante, Spain
*
Author to whom correspondence should be addressed.
Materials 2020, 13(17), 3725; https://doi.org/10.3390/ma13173725
Received: 13 July 2020 / Revised: 17 August 2020 / Accepted: 18 August 2020 / Published: 23 August 2020
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. View Full-Text
Keywords: H-PDLC; FDTD; diffraction efficiency; LD director distribution; Frank elastic free energy H-PDLC; FDTD; diffraction efficiency; LD director distribution; Frank elastic free energy
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MDPI and ACS Style

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, 3725. https://doi.org/10.3390/ma13173725

AMA Style

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. https://doi.org/10.3390/ma13173725

Chicago/Turabian Style

Francés, Jorge; Bleda, Sergio; Puerto, Daniel; Gallego, Sergi; Márquez, Andrés; Neipp, Cristian; Pascual, Inmaculada; Beléndez, Augusto. 2020. "Accurate, Efficient and Rigorous Numerical Analysis of 3D H-PDLC Gratings" Materials 13, no. 17: 3725. https://doi.org/10.3390/ma13173725

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