Abstract

We address the reorientational optical nonlinearity of homogeneously aligned neamtic liquid-crystal (NLC) cells. The propagation of light in NLC cells depend strongly on temperature. At a temperature approaching the clearing point, an undulating beam and multifocal points are observed in the NLC cell by use of a polarizing optical microscope. Using a conoscopic technique, we observed novel consecutive concentric and parabolic patterns projected onto a screen. Optical energy is considered to compete with thermal energy to affect NLC’s orientation and to generate singularities in the steady state. A model of the configuration of the liquid crystal’s orientation is proposed.

© 2003 Optical Society of America

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References

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  1. B. Ya. Zel’dovich, N. F. Pilipetskii, A. V. Sukhov, and N. V. Tabiryan, JETP Lett. 31, 263 (1980).
  2. I. C. Khoo, Liquid Crystals: Physical Properties and Nonlinear Optical Phenomena (Wiley Interscience, New York, 1995).
  3. F. Bloisi, L. Vicari, and F. Simoni, Opt. Commun. 76, 261 (1990).
    [CrossRef]
  4. A. Yariv, Optical Electronics (Saunders, Philadelphia, Pa., 1991).
  5. G. P. Agrawal, Nonlinear Fiber Optics (Academic, San Diego, Calif., 1989).
  6. E. Braun, L. P. Faucheux, and A. Libchaber, Phys. Rev. A 48, 611 (1993).
    [CrossRef] [PubMed]
  7. M. Warenghem, J. F. Henninot, and G. Abbate, J. Nonlinear Opt. Phys. Mater. 8, 341 (1999).
    [CrossRef]
  8. M. Peccianti and G. Assanto, Phys. Rev. E 65R, 035603 (2002).
    [CrossRef]
  9. S. Elston and R. Sambles, The Optics of Thermotropic Liquid Crystals (Taylor & Francis, London, 1998).
  10. P. Yeh and C. Gu, Optics of Liquid Crystal Displays (Wiley Interscience, New York, 1999).
  11. Y. Bouligand, in Physical Properties of Liquid Crystals, D. Demus, J. Goodby, G. W. Gray, H.-W. Spiess, and V. Vill, eds. (Wiley-VCH, Weinheim, Germany, 1999), pp. 304–351.
  12. F. Simoni, Nonlinear Optical Properties of Liquid Crystals and Polymer Dispersion Liquid Crystals (World Scientific, Singapore, 1997).
    [CrossRef]
  13. W. Maier and G. Meier, Z. Naturforsch. 16A, 262 (1961).

2002 (1)

M. Peccianti and G. Assanto, Phys. Rev. E 65R, 035603 (2002).
[CrossRef]

1999 (1)

M. Warenghem, J. F. Henninot, and G. Abbate, J. Nonlinear Opt. Phys. Mater. 8, 341 (1999).
[CrossRef]

1993 (1)

E. Braun, L. P. Faucheux, and A. Libchaber, Phys. Rev. A 48, 611 (1993).
[CrossRef] [PubMed]

1990 (1)

F. Bloisi, L. Vicari, and F. Simoni, Opt. Commun. 76, 261 (1990).
[CrossRef]

1980 (1)

B. Ya. Zel’dovich, N. F. Pilipetskii, A. V. Sukhov, and N. V. Tabiryan, JETP Lett. 31, 263 (1980).

1961 (1)

W. Maier and G. Meier, Z. Naturforsch. 16A, 262 (1961).

Abbate, G.

M. Warenghem, J. F. Henninot, and G. Abbate, J. Nonlinear Opt. Phys. Mater. 8, 341 (1999).
[CrossRef]

Agrawal, G. P.

G. P. Agrawal, Nonlinear Fiber Optics (Academic, San Diego, Calif., 1989).

Assanto, G.

M. Peccianti and G. Assanto, Phys. Rev. E 65R, 035603 (2002).
[CrossRef]

Bloisi, F.

F. Bloisi, L. Vicari, and F. Simoni, Opt. Commun. 76, 261 (1990).
[CrossRef]

Bouligand, Y.

Y. Bouligand, in Physical Properties of Liquid Crystals, D. Demus, J. Goodby, G. W. Gray, H.-W. Spiess, and V. Vill, eds. (Wiley-VCH, Weinheim, Germany, 1999), pp. 304–351.

Braun, E.

E. Braun, L. P. Faucheux, and A. Libchaber, Phys. Rev. A 48, 611 (1993).
[CrossRef] [PubMed]

Elston, S.

S. Elston and R. Sambles, The Optics of Thermotropic Liquid Crystals (Taylor & Francis, London, 1998).

Faucheux, L. P.

E. Braun, L. P. Faucheux, and A. Libchaber, Phys. Rev. A 48, 611 (1993).
[CrossRef] [PubMed]

Gu, C.

P. Yeh and C. Gu, Optics of Liquid Crystal Displays (Wiley Interscience, New York, 1999).

Henninot, J. F.

M. Warenghem, J. F. Henninot, and G. Abbate, J. Nonlinear Opt. Phys. Mater. 8, 341 (1999).
[CrossRef]

Khoo, I. C.

I. C. Khoo, Liquid Crystals: Physical Properties and Nonlinear Optical Phenomena (Wiley Interscience, New York, 1995).

Libchaber, A.

E. Braun, L. P. Faucheux, and A. Libchaber, Phys. Rev. A 48, 611 (1993).
[CrossRef] [PubMed]

Maier, W.

W. Maier and G. Meier, Z. Naturforsch. 16A, 262 (1961).

Meier, G.

W. Maier and G. Meier, Z. Naturforsch. 16A, 262 (1961).

Peccianti, M.

M. Peccianti and G. Assanto, Phys. Rev. E 65R, 035603 (2002).
[CrossRef]

Pilipetskii, N. F.

B. Ya. Zel’dovich, N. F. Pilipetskii, A. V. Sukhov, and N. V. Tabiryan, JETP Lett. 31, 263 (1980).

Sambles, R.

S. Elston and R. Sambles, The Optics of Thermotropic Liquid Crystals (Taylor & Francis, London, 1998).

Simoni, F.

F. Bloisi, L. Vicari, and F. Simoni, Opt. Commun. 76, 261 (1990).
[CrossRef]

F. Simoni, Nonlinear Optical Properties of Liquid Crystals and Polymer Dispersion Liquid Crystals (World Scientific, Singapore, 1997).
[CrossRef]

Sukhov, A. V.

B. Ya. Zel’dovich, N. F. Pilipetskii, A. V. Sukhov, and N. V. Tabiryan, JETP Lett. 31, 263 (1980).

Tabiryan, N. V.

B. Ya. Zel’dovich, N. F. Pilipetskii, A. V. Sukhov, and N. V. Tabiryan, JETP Lett. 31, 263 (1980).

Vicari, L.

F. Bloisi, L. Vicari, and F. Simoni, Opt. Commun. 76, 261 (1990).
[CrossRef]

Warenghem, M.

M. Warenghem, J. F. Henninot, and G. Abbate, J. Nonlinear Opt. Phys. Mater. 8, 341 (1999).
[CrossRef]

Yariv, A.

A. Yariv, Optical Electronics (Saunders, Philadelphia, Pa., 1991).

Yeh, P.

P. Yeh and C. Gu, Optics of Liquid Crystal Displays (Wiley Interscience, New York, 1999).

Zel'dovich, B. Ya.

B. Ya. Zel’dovich, N. F. Pilipetskii, A. V. Sukhov, and N. V. Tabiryan, JETP Lett. 31, 263 (1980).

J. Nonlinear Opt. Phys. Mater. (1)

M. Warenghem, J. F. Henninot, and G. Abbate, J. Nonlinear Opt. Phys. Mater. 8, 341 (1999).
[CrossRef]

JETP Lett. (1)

B. Ya. Zel’dovich, N. F. Pilipetskii, A. V. Sukhov, and N. V. Tabiryan, JETP Lett. 31, 263 (1980).

Opt. Commun. (1)

F. Bloisi, L. Vicari, and F. Simoni, Opt. Commun. 76, 261 (1990).
[CrossRef]

Phys. Rev. A (1)

E. Braun, L. P. Faucheux, and A. Libchaber, Phys. Rev. A 48, 611 (1993).
[CrossRef] [PubMed]

Phys. Rev. E (1)

M. Peccianti and G. Assanto, Phys. Rev. E 65R, 035603 (2002).
[CrossRef]

Z. Naturforsch. (1)

W. Maier and G. Meier, Z. Naturforsch. 16A, 262 (1961).

Other (7)

S. Elston and R. Sambles, The Optics of Thermotropic Liquid Crystals (Taylor & Francis, London, 1998).

P. Yeh and C. Gu, Optics of Liquid Crystal Displays (Wiley Interscience, New York, 1999).

Y. Bouligand, in Physical Properties of Liquid Crystals, D. Demus, J. Goodby, G. W. Gray, H.-W. Spiess, and V. Vill, eds. (Wiley-VCH, Weinheim, Germany, 1999), pp. 304–351.

F. Simoni, Nonlinear Optical Properties of Liquid Crystals and Polymer Dispersion Liquid Crystals (World Scientific, Singapore, 1997).
[CrossRef]

A. Yariv, Optical Electronics (Saunders, Philadelphia, Pa., 1991).

G. P. Agrawal, Nonlinear Fiber Optics (Academic, San Diego, Calif., 1989).

I. C. Khoo, Liquid Crystals: Physical Properties and Nonlinear Optical Phenomena (Wiley Interscience, New York, 1995).

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Figures (4)

Fig. 1
Fig. 1

Conoscopic setup for nondestructively studying the LC configuration in real time in the cell. The LC detector is in the z direction. Cell normal N is set parallel to the x axis. P’s pllarizers; A, analyzer; M, mirror; L’s lenses; λ/2; half-wave plates; DPSS laser, diode-pumped solid-state laser.

Fig. 2
Fig. 2

Conoscopic pattern of the probe beam in steady state during pump-beam-induced reorientational optical nonlinearity in the NLC cell at 30 °C.

Fig. 3
Fig. 3

(a) Inferred LC configuration in the steady-state beam structure during pump-beam-induced self-focusing in the NLC cell at 30 °C. (b) The corresponding conoscopic pattern according to Ref. 11.

Fig. 4
Fig. 4

Variation of spacing distance Λ with temperature.

Equations (1)

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Ith=ck3Δ//1/2π2d2=ck3Δ2//1/2π2d2Δ,

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