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Accurate modelling of the optics of high resolution liquid crystal devices including diffractive effects

Fernandez, Federico Anibal; Shen, Dezhi; Yang, Mengyang; (2022) Accurate modelling of the optics of high resolution liquid crystal devices including diffractive effects. Liquid Crystals 10.1080/02678292.2022.2070784. (In press). Green open access

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Abstract

An accurate method to model the optical behaviour of liquid crystal (LC) devices, particularly suited to devices where diffractive effects are present is described here. An accurate electromagnetic modelling programme that takes into account the full non-uniformity and anisotropy of the LC has been developed. This is combined with an existing in-house LC finite element modelling programme based on the Landau – De Gennes theory, that uses the order tensor representation of the LC orientation and allows an accurate descriptions of structures containing LC defects and small features. The electromagnetic model is based on the total field/scattered field (TF-SF) approach to electromagnetic scattering problems and is implemented using finite differences in the frequency domain (FDFD) in a form that can accommodate perfectly matched layers (PMLs) and periodic boundary conditions. The resultant matrix problem is solved efficiently using an especially adapted form of a sweeping preconditioner and the generalised minimum residual method (GMRes). This method has been implemented in 2D and is demonstrated here with the design and analysis of a reconfigurable blazed phase grating that utilises an LC defect to produce an abrupt fly-back, with the capability of short periods and high diffraction efficiency.

Type: Article
Title: Accurate modelling of the optics of high resolution liquid crystal devices including diffractive effects
Open access status: An open access version is available from UCL Discovery
DOI: 10.1080/02678292.2022.2070784
Publisher version: https://doi.org/10.1080/02678292.2022.2070784
Language: English
Additional information: © 2022 The Author(s). Published by Informa UK Limited, trading as Taylor & Francis Group. This is an Open Access article distributed under the terms of the Creative Commons Attribution-NonCommercial-NoDerivatives License (http://creativecommons.org/licenses/by-ncnd/4.0/).
Keywords: Liquid crystal modelling, diffractive LC device modelling, LC optics modelling, liquid crystal gratings
UCL classification: UCL > Provost and Vice Provost Offices > UCL BEAMS > Faculty of Engineering Science
UCL > Provost and Vice Provost Offices > UCL BEAMS > Faculty of Engineering Science > Dept of Electronic and Electrical Eng
UCL > Provost and Vice Provost Offices > UCL BEAMS
UCL
URI: https://discovery.ucl.ac.uk/id/eprint/10147409
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