Yang, Mengyang;
(2019)
Modelling the Optics of Liquid Crystal Devices.
Doctoral thesis (Ph.D), UCL (University College London).
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Abstract
This thesis concerns the accurate modelling of electromagnetic wave propagation through liquid crystal devices, and its main aim is to develop computations tools to analyse the optical behaviour of liquid crystal cells when the traditional methods used for this purpose don’t work properly, as is the case when diffractive effects are present and to analyse and design photonic and microwave devices that use liquid crystals to control and tune wave propagation. The main focus of this thesis is the development of a finite difference in the frequency domain (FDFD) approach to model the general scattering problem of electromagnetic waves incident on a liquid crystal devices. In this manner, the method and programs developed are applicable to both the optics of liquid crystal cells and the characterization of the electromagnetic fields propagating through a liquid crystal device. A major difficulty with the numerical solution of this kind of problems is to achieve an efficient solution of the generated matrix problem, which frequently is severely ill-conditioned so direct application of many common solution methods is not feasible. To solve this problem, a sweeping preconditioner, based on moving perfectly matched layers has been developed and implemented. The overall problem is formulated such that the discretization scheme is dictated by the geometry, facilitating the application of the preconditioner. The method has been further generalized to study structures where reflection effects are substantial, by using a total-field/scattered-field formulation for the FDFD approach. The preconditioned problem is the solved efficiently using the generalized residual method.
| Type: | Thesis (Doctoral) |
|---|---|
| Qualification: | Ph.D |
| Title: | Modelling the Optics of Liquid Crystal Devices |
| Event: | UCL (University College London) |
| Open access status: | An open access version is available from UCL Discovery |
| Language: | English |
| Additional information: | Copyright © The Author 2019. Original content in this thesis is licensed under the terms of the Creative Commons Attribution 4.0 International (CC BY 4.0) Licence (https://creativecommons.org/licenses/by/4.0/). Any third-party copyright material present remains the property of its respective owner(s) and is licensed under its existing terms. Access may initially be restricted at the author’s request. |
| UCL classification: | UCL UCL > Provost and Vice Provost Offices UCL > Provost and Vice Provost Offices > UCL BEAMS UCL > Provost and Vice Provost Offices > UCL BEAMS > Faculty of Engineering Science |
| URI: | https://discovery.ucl.ac.uk/id/eprint/10073050 |
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