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Journal of the Optical Society of America B

Journal of the Optical Society of America B


  • Editor: Henry M. Van Driel
  • Vol. 24, Iss. 3 — Mar. 1, 2007
  • pp: 527–531

Complex permittivities of a nematic liquid crystal in a hybrid-aligned cell

Fuzi Yang, S. A. Jewell, Lizhen Ruan, and J. R. Sambles  »View Author Affiliations

JOSA B, Vol. 24, Issue 3, pp. 527-531 (2007)

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The half-leaky guided-mode (HLGM) technique has been used to explore a hybrid-aligned nematic (HAN) liquid-crystal cell. With a suitably oriented cell the optical response of the system, as a function of incident angle, has some unusual features. It is found that beyond a particular angle of incidence, with light incident from the homeotropically aligned side, the apparent mode spacing increases with increasing angle, which is entirely opposite to that found for an isotropic slab of material. This clearly indicates that the effective cell thickness varies with incident angles, an effect caused by the director profile within the cell, leading to bent trajectories for the beams propagating inside the cell. For this situation the depths of the reflectivity minima associated with excitation of the waveguide modes are particularly sensitive to the imaginary parts of the permittivities of the liquid crystal. This has enabled the two imaginary parts of the parallel and perpendicular permittivities of the liquid crystals to be determined separately. The technique is a very useful and accurate method for determining the whole optical tensor of the liquid crystal.

© 2007 Optical Society of America

OCIS Codes
(160.3710) Materials : Liquid crystals
(310.2790) Thin films : Guided waves

ToC Category:

Original Manuscript: August 18, 2006
Revised Manuscript: November 3, 2006
Manuscript Accepted: November 8, 2006
Published: February 15, 2007

Fuzi Yang, S. A. Jewell, Lizhen Ruan, and J. R. Sambles, "Complex permittivities of a nematic liquid crystal in a hybrid-aligned cell," J. Opt. Soc. Am. B 24, 527-531 (2007)

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  1. S. A. Jewell and J. R. Sambles, "Fully-leaky guided mode measurement of surface polarization in a HAN liquid crystal cell," J. Appl. Phys. 92, 19-24 (2002). [CrossRef]
  2. S. A. Jewell and J. R. Sambles, "Backflow in the relaxation of a hybrid aligned nematic cell," Appl. Phys. Lett. 82, 3156-3158 (2003). [CrossRef]
  3. S. A. Jewell and J. R. Sambles, "Optical characterization of a dual-frequency hybrid aligned nematic liquid crystal cell," Opt. Express 13, 2627-2633 (2005). [CrossRef] [PubMed]
  4. J. A. Olivares, R. F. Rodriguez, and J. A. Reyes, "Ray tracing and reflectivity measurements in nematic hybrid cells," Opt. Commun. 221, 223-239 (2003). [CrossRef]
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  6. F. Yang and J. R. Sambles, "The optical tensor configuration in a surface stabilized ferroelectric liquid crystal determined by using half leaky guided modes," Liq. Cryst. 13, 1-13 (1993). [CrossRef]
  7. A. W. Snyder and J. D. Love, Optical Waveguide Theory (Kluwer Academic, 1983).
  8. D. Y. K. Ko and J. R. Sambles, "Scattering matrix method for propagation of radiation in stratified media: attenuated total reflection studies of liquid crystals," J. Opt. Soc. Am. A 5, 1863-1866 (1988). [CrossRef]

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