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A computational approach to the optical Fredericksz transition

A computational approach to the optical Fredericksz transition
A computational approach to the optical Fredericksz transition
The optical Freedericksz transition in a homeotropic nematic liquid crystal cell is modeled using a solver which combines direct solution of Maxwell’s equations with a relaxation algorithm for the liquid crystal director. We find that even in the equal elastic constant case the continuous optical Freedericksz transition can be driven first order. For films in which the optical retardation of the extraordinary wave is sufficiently large, a whole set of discontinuous jumps in transmission coefficient can occur. These jumps correspond to the existence of optical resonances in the liquid crystal film. Our results agree in the short wavelength limit with paraxial approximation calculations, and provide a strong test of the FDTD method for anisotropic materials such as liquid crystals.
0030-4018
474-480
Ilyina, V.
8fd6af78-77b3-4277-a137-ae7fed2e4137
Cox, S.J.
0e62aaed-24ad-4a74-b996-f606e40e5c55
Sluckin, T.J.
8dbb6b08-7034-4ae2-aa65-6b80072202f6
Ilyina, V.
8fd6af78-77b3-4277-a137-ae7fed2e4137
Cox, S.J.
0e62aaed-24ad-4a74-b996-f606e40e5c55
Sluckin, T.J.
8dbb6b08-7034-4ae2-aa65-6b80072202f6

Ilyina, V., Cox, S.J. and Sluckin, T.J. (2006) A computational approach to the optical Fredericksz transition. Optics Communications, 260 (2), 474-480. (doi:10.1016/j.optcom.2005.11.028).

Record type: Article

Abstract

The optical Freedericksz transition in a homeotropic nematic liquid crystal cell is modeled using a solver which combines direct solution of Maxwell’s equations with a relaxation algorithm for the liquid crystal director. We find that even in the equal elastic constant case the continuous optical Freedericksz transition can be driven first order. For films in which the optical retardation of the extraordinary wave is sufficiently large, a whole set of discontinuous jumps in transmission coefficient can occur. These jumps correspond to the existence of optical resonances in the liquid crystal film. Our results agree in the short wavelength limit with paraxial approximation calculations, and provide a strong test of the FDTD method for anisotropic materials such as liquid crystals.

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Published date: 2006

Identifiers

Local EPrints ID: 29607
URI: http://eprints.soton.ac.uk/id/eprint/29607
ISSN: 0030-4018
PURE UUID: a82c5943-b35e-400d-9830-ba6968a82fc0
ORCID for T.J. Sluckin: ORCID iD orcid.org/0000-0002-9163-0061

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Date deposited: 11 May 2006
Last modified: 09 Jan 2022 02:32

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Contributors

Author: V. Ilyina
Author: S.J. Cox
Author: T.J. Sluckin ORCID iD

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