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Beam coupling in hybrid photorefractive inorganic-cholesteric liquid crystal cells: impact of optical rotation

Beam coupling in hybrid photorefractive inorganic-cholesteric liquid crystal cells: impact of optical rotation
Beam coupling in hybrid photorefractive inorganic-cholesteric liquid crystal cells: impact of optical rotation
We develop a theoretical model to describe two-beam energy exchange in a hybrid photorefractive inorganic-cholesteric cell. A cholesteric layer is placed between two inorganic substrates. One of the substrates is photorefractive (Ce:SBN). Weak and strong light beams are incident on the hybrid cell. The interfering light beams induce a periodic space-charge field in the photorefractive window. This penetrates into the cholesteric liquid crystal (LC), inducing a diffraction grating written on the LC director. In the theory, the flexoelectric mechanism for electric field-director coupling is more important than the LC static dielectric anisotropy coupling. The LC optics is described in the Bragg regime. Each beam induces two circular polarized waves propagating in the cholesteric cell with different velocities. The model thus includes optical rotation in the cholesteric LC. The incident light beam wavelength can fall above, below, or inside the cholesteric gap. The theory calculates the energy gain of the weak beam, as a result of its interaction with the pump beam within the diffraction grating. Theoretical results for exponential gain coefficients are compared with experimental results for hybrid cells filled with cholesteric mixture BL038/CB15 at different concentrations of chiral agent CB15. Reconciliation between theory and experiment requires the inclusion of a phenomenological multiplier in the magnitude of the director grating. This multiplier is cubic in the space-charge field, and we provide a justification of the q-dependence of the multiplier. Within this paradigm, we are able to fit theory to experimental data for cholesteric mixtures with different spectral position of cholesteric gap relative to the wavelength of incident beams, subject to the use of some fitting parameters.
0021-8979
1-17
Reshetnyak, V.Y
ea364919-7a60-4546-ac03-6b1bf2978562
Pinkevych, I.P.
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Sluckin, T.J.
8dbb6b08-7034-4ae2-aa65-6b80072202f6
Cook, G.
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Evans, D.R.
e53d4df7-2a26-49f0-8126-b6630165dfb3
Reshetnyak, V.Y
ea364919-7a60-4546-ac03-6b1bf2978562
Pinkevych, I.P.
07f566ed-7a1c-492d-a11e-3ff1e941e725
Sluckin, T.J.
8dbb6b08-7034-4ae2-aa65-6b80072202f6
Cook, G.
fbf121a4-8973-4033-8759-81f517347b6e
Evans, D.R.
e53d4df7-2a26-49f0-8126-b6630165dfb3

Reshetnyak, V.Y, Pinkevych, I.P., Sluckin, T.J., Cook, G. and Evans, D.R. (2014) Beam coupling in hybrid photorefractive inorganic-cholesteric liquid crystal cells: impact of optical rotation. Journal of Applied Physics, 115 (103103), 1-17. (doi:10.1063/1.4867479).

Record type: Article

Abstract

We develop a theoretical model to describe two-beam energy exchange in a hybrid photorefractive inorganic-cholesteric cell. A cholesteric layer is placed between two inorganic substrates. One of the substrates is photorefractive (Ce:SBN). Weak and strong light beams are incident on the hybrid cell. The interfering light beams induce a periodic space-charge field in the photorefractive window. This penetrates into the cholesteric liquid crystal (LC), inducing a diffraction grating written on the LC director. In the theory, the flexoelectric mechanism for electric field-director coupling is more important than the LC static dielectric anisotropy coupling. The LC optics is described in the Bragg regime. Each beam induces two circular polarized waves propagating in the cholesteric cell with different velocities. The model thus includes optical rotation in the cholesteric LC. The incident light beam wavelength can fall above, below, or inside the cholesteric gap. The theory calculates the energy gain of the weak beam, as a result of its interaction with the pump beam within the diffraction grating. Theoretical results for exponential gain coefficients are compared with experimental results for hybrid cells filled with cholesteric mixture BL038/CB15 at different concentrations of chiral agent CB15. Reconciliation between theory and experiment requires the inclusion of a phenomenological multiplier in the magnitude of the director grating. This multiplier is cubic in the space-charge field, and we provide a justification of the q-dependence of the multiplier. Within this paradigm, we are able to fit theory to experimental data for cholesteric mixtures with different spectral position of cholesteric gap relative to the wavelength of incident beams, subject to the use of some fitting parameters.

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Accepted/In Press date: 20 February 2014
Published date: 10 March 2014
Organisations: Applied Mathematics

Identifiers

Local EPrints ID: 390279
URI: http://eprints.soton.ac.uk/id/eprint/390279
ISSN: 0021-8979
PURE UUID: c3891ea3-1de4-4437-8967-2849b2880bfb
ORCID for T.J. Sluckin: ORCID iD orcid.org/0000-0002-9163-0061

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Date deposited: 23 Mar 2016 09:55
Last modified: 15 Mar 2024 02:32

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Contributors

Author: V.Y Reshetnyak
Author: I.P. Pinkevych
Author: T.J. Sluckin ORCID iD
Author: G. Cook
Author: D.R. Evans

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