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Optically induced twist Fréedericksz transitions in planar-aligned nematic liquid crystals

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Opticals Effects in Liquid Crystals

Part of the book series: Perspectives in Condensed Matter Physics ((PCMP,volume 5))

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Abstract

The optical-field-induced Fréedericksz transition for a twist deformation by a normally incident laser beam in a planar-aligned nematic liquid crystal is studied. The Euler equation for the molecular director and the equations describing the evolution of the beam polarization in the birefringent medium are solved simultaneously in the small-perturbation limit. The stability of the undistorted state is investigated. An alternate series of stable and unstable bifurcations is found. This phenomenon has no analog in the Fréedericksz transition induced by dc electric and magnetic external fields.

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Notes

  1. See, for example, H. L. Ong, Phys. Rev. A 28, 2393 (1983), and references therein.

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  2. S. D. Durbin, S. M. Arakelian, and Y. R. Shen, Phys. Rev. Lett. 47, 1411 (1981).

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  3. V. Fréedericksz and V. Zolina, Trans. Faraday Soc. 29, 919 (1933).

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  4. For a review on the dc-field-induced Fréedericksz transition in nematics, see H. J. Deuling, in Liquid Crystals, edited by L. Liebert (Academic, New York, 1978), p. 77.

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  5. H. Kubo and R. Nagata, J. Opt. Soc. Am. 73, 1719 (1983).

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  6. E. Santamato and Y. R. Shen, J. Opt. Soc. Am. A 4, 356 (1987).

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  7. Another solution is ŝ = (+ 1,0,0); φ ≡ 0. This solution corresponds to a light linearly polarized along the molecular director. This solution is always stable.

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  8. A. Rapini, J. Phys. (Paris) 33, 237 (1972).

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Author information

Authors and Affiliations

  1. Dipartimento di Fisica Nucleare, Struttura della Materia e Fisica Applicata, Padiglione 20, Mostra d’Oltremare, I-80125, Napoli, Italy

    E. Santamato, G. Abbate & P. Maddalena

  2. Centro Interuniversitario di Elettronica Quantistica e Plasmi, I-80125, Napoli, Italy

    E. Santamato & P. Maddalena

  3. Centro Interuniversitario di Struttura della Materia, I-80125, Napoli, Italy

    G. Abbate

  4. Department of Physics, University of California, Berkeley, California, 94720, USA

    Y. R. Shen

Authors
  1. E. Santamato
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  2. G. Abbate
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  3. P. Maddalena
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  4. Y. R. Shen
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Editor information

Editors and Affiliations

  1. Budapest, Hungary

    István Jánossy

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© 1987 Springer Science+Business Media Dordrecht

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Santamato, E., Abbate, G., Maddalena, P., Shen, Y.R. (1987). Optically induced twist Fréedericksz transitions in planar-aligned nematic liquid crystals. In: Jánossy, I. (eds) Opticals Effects in Liquid Crystals. Perspectives in Condensed Matter Physics, vol 5. Springer, Dordrecht. https://doi.org/10.1007/978-94-011-3180-3_23

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  • DOI: https://doi.org/10.1007/978-94-011-3180-3_23

  • Publisher Name: Springer, Dordrecht

  • Print ISBN: 978-94-010-5403-4

  • Online ISBN: 978-94-011-3180-3

  • eBook Packages: Springer Book Archive

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