Abstract

2+1-dimensional spatial solitary waves are generated by launching of milliwatt-power linearly polarized light beams in voltage-biased planar cells with undoped nematic liquid crystals, regardless of the degree of spatial coherence of the input. Coherent and incoherent self-trapping, as well as guidance of a weaker copolarized signal, is demonstrated.

© 2001 Optical Society of America

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References

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  1. A. W. Snyder, D. J. Mitchell, L. Polodian, and F. Ladouceur, Opt. Lett. 16, 21 (1991).
    [CrossRef] [PubMed]
  2. E. Braun, L. Faucheux, and A. Libchaber, Phys. Rev. A 48, 611 (1993).
    [CrossRef] [PubMed]
  3. M. Warenghem, J. F. Henninot, and G. Abbate, Opt. Express 2, 483 (1998), http://www.opticsexpress.org .
    [CrossRef] [PubMed]
  4. M. A. Karpierz, M. Sierakowski, M. Swillo, and T. Wolinsky, Mol. Cryst. Liq. Cryst. 320, 157 (1998).
    [CrossRef]
  5. F. Derrien, J. F. Henninot, M. Warenghem, and G. Abbate, J. Opt. A 2, 332 (2000).
    [CrossRef]
  6. N. V. Tabyrian, A. V. Sukhov, and B. Ya. Zel’dovich, Mol. Cryst. Liq. Cryst. 136, 1 (1986).
    [CrossRef]
  7. I. C. Khoo, Liquid Crystals: Physical Properties and Nonlinear Optical Phenomena (Wiley, New York, 1995).
  8. P. L. Kelley, Phys. Rev. Lett. 15, 1005 (1965).
    [CrossRef]
  9. M. Peccianti, A. de Rossi, G. Assanto, A. de Luca, C. Umeton, and I. C. Khoo, Appl. Phys. Lett. 77, 7 (2000).
    [CrossRef]
  10. M. Mitchell, Z. Chen, M. Shih, and M. Segev, Phys. Rev. Lett. 77, 490 (1996).
    [CrossRef] [PubMed]
  11. T. H. Coskun, D. N. Christodoulides, M. Mitchell, Z. Chen, and M. Segev, Opt. Lett. 23, 418 (1998).
    [CrossRef]
  12. D. N. Christodoulides, T. Coskun, M. Mitchell, and M. Segev, Phys. Rev. Lett. 78, 646 (1997).
    [CrossRef]
  13. D. N. Christodoulides, T. Coskun, M. Mitchell, and M. Segev, Phys. Rev. Lett. 80, 2310 (1998).
    [CrossRef]
  14. M. J. Weber, ed., CRC Handbook of Laser Science and Technology, (CRC Press, New York, 1995), Suppl.  2.

2000 (2)

F. Derrien, J. F. Henninot, M. Warenghem, and G. Abbate, J. Opt. A 2, 332 (2000).
[CrossRef]

M. Peccianti, A. de Rossi, G. Assanto, A. de Luca, C. Umeton, and I. C. Khoo, Appl. Phys. Lett. 77, 7 (2000).
[CrossRef]

1998 (4)

M. A. Karpierz, M. Sierakowski, M. Swillo, and T. Wolinsky, Mol. Cryst. Liq. Cryst. 320, 157 (1998).
[CrossRef]

D. N. Christodoulides, T. Coskun, M. Mitchell, and M. Segev, Phys. Rev. Lett. 80, 2310 (1998).
[CrossRef]

T. H. Coskun, D. N. Christodoulides, M. Mitchell, Z. Chen, and M. Segev, Opt. Lett. 23, 418 (1998).
[CrossRef]

M. Warenghem, J. F. Henninot, and G. Abbate, Opt. Express 2, 483 (1998), http://www.opticsexpress.org .
[CrossRef] [PubMed]

1997 (1)

D. N. Christodoulides, T. Coskun, M. Mitchell, and M. Segev, Phys. Rev. Lett. 78, 646 (1997).
[CrossRef]

1996 (1)

M. Mitchell, Z. Chen, M. Shih, and M. Segev, Phys. Rev. Lett. 77, 490 (1996).
[CrossRef] [PubMed]

1993 (1)

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

1991 (1)

1986 (1)

N. V. Tabyrian, A. V. Sukhov, and B. Ya. Zel’dovich, Mol. Cryst. Liq. Cryst. 136, 1 (1986).
[CrossRef]

1965 (1)

P. L. Kelley, Phys. Rev. Lett. 15, 1005 (1965).
[CrossRef]

Abbate, G.

Assanto, G.

M. Peccianti, A. de Rossi, G. Assanto, A. de Luca, C. Umeton, and I. C. Khoo, Appl. Phys. Lett. 77, 7 (2000).
[CrossRef]

Braun, E.

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

Chen, Z.

Christodoulides, D. N.

T. H. Coskun, D. N. Christodoulides, M. Mitchell, Z. Chen, and M. Segev, Opt. Lett. 23, 418 (1998).
[CrossRef]

D. N. Christodoulides, T. Coskun, M. Mitchell, and M. Segev, Phys. Rev. Lett. 80, 2310 (1998).
[CrossRef]

D. N. Christodoulides, T. Coskun, M. Mitchell, and M. Segev, Phys. Rev. Lett. 78, 646 (1997).
[CrossRef]

Coskun, T.

D. N. Christodoulides, T. Coskun, M. Mitchell, and M. Segev, Phys. Rev. Lett. 80, 2310 (1998).
[CrossRef]

D. N. Christodoulides, T. Coskun, M. Mitchell, and M. Segev, Phys. Rev. Lett. 78, 646 (1997).
[CrossRef]

Coskun, T. H.

de Luca, A.

M. Peccianti, A. de Rossi, G. Assanto, A. de Luca, C. Umeton, and I. C. Khoo, Appl. Phys. Lett. 77, 7 (2000).
[CrossRef]

de Rossi, A.

M. Peccianti, A. de Rossi, G. Assanto, A. de Luca, C. Umeton, and I. C. Khoo, Appl. Phys. Lett. 77, 7 (2000).
[CrossRef]

Derrien, F.

F. Derrien, J. F. Henninot, M. Warenghem, and G. Abbate, J. Opt. A 2, 332 (2000).
[CrossRef]

Faucheux, L.

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

Henninot, J. F.

Karpierz, M. A.

M. A. Karpierz, M. Sierakowski, M. Swillo, and T. Wolinsky, Mol. Cryst. Liq. Cryst. 320, 157 (1998).
[CrossRef]

Kelley, P. L.

P. L. Kelley, Phys. Rev. Lett. 15, 1005 (1965).
[CrossRef]

Khoo, I. C.

M. Peccianti, A. de Rossi, G. Assanto, A. de Luca, C. Umeton, and I. C. Khoo, Appl. Phys. Lett. 77, 7 (2000).
[CrossRef]

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

Ladouceur, F.

Libchaber, A.

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

Mitchell, D. J.

Mitchell, M.

T. H. Coskun, D. N. Christodoulides, M. Mitchell, Z. Chen, and M. Segev, Opt. Lett. 23, 418 (1998).
[CrossRef]

D. N. Christodoulides, T. Coskun, M. Mitchell, and M. Segev, Phys. Rev. Lett. 80, 2310 (1998).
[CrossRef]

D. N. Christodoulides, T. Coskun, M. Mitchell, and M. Segev, Phys. Rev. Lett. 78, 646 (1997).
[CrossRef]

M. Mitchell, Z. Chen, M. Shih, and M. Segev, Phys. Rev. Lett. 77, 490 (1996).
[CrossRef] [PubMed]

Peccianti, M.

M. Peccianti, A. de Rossi, G. Assanto, A. de Luca, C. Umeton, and I. C. Khoo, Appl. Phys. Lett. 77, 7 (2000).
[CrossRef]

Polodian, L.

Segev, M.

D. N. Christodoulides, T. Coskun, M. Mitchell, and M. Segev, Phys. Rev. Lett. 80, 2310 (1998).
[CrossRef]

T. H. Coskun, D. N. Christodoulides, M. Mitchell, Z. Chen, and M. Segev, Opt. Lett. 23, 418 (1998).
[CrossRef]

D. N. Christodoulides, T. Coskun, M. Mitchell, and M. Segev, Phys. Rev. Lett. 78, 646 (1997).
[CrossRef]

M. Mitchell, Z. Chen, M. Shih, and M. Segev, Phys. Rev. Lett. 77, 490 (1996).
[CrossRef] [PubMed]

Shih, M.

M. Mitchell, Z. Chen, M. Shih, and M. Segev, Phys. Rev. Lett. 77, 490 (1996).
[CrossRef] [PubMed]

Sierakowski, M.

M. A. Karpierz, M. Sierakowski, M. Swillo, and T. Wolinsky, Mol. Cryst. Liq. Cryst. 320, 157 (1998).
[CrossRef]

Snyder, A. W.

Sukhov, A. V.

N. V. Tabyrian, A. V. Sukhov, and B. Ya. Zel’dovich, Mol. Cryst. Liq. Cryst. 136, 1 (1986).
[CrossRef]

Swillo, M.

M. A. Karpierz, M. Sierakowski, M. Swillo, and T. Wolinsky, Mol. Cryst. Liq. Cryst. 320, 157 (1998).
[CrossRef]

Tabyrian, N. V.

N. V. Tabyrian, A. V. Sukhov, and B. Ya. Zel’dovich, Mol. Cryst. Liq. Cryst. 136, 1 (1986).
[CrossRef]

Umeton, C.

M. Peccianti, A. de Rossi, G. Assanto, A. de Luca, C. Umeton, and I. C. Khoo, Appl. Phys. Lett. 77, 7 (2000).
[CrossRef]

Warenghem, M.

Wolinsky, T.

M. A. Karpierz, M. Sierakowski, M. Swillo, and T. Wolinsky, Mol. Cryst. Liq. Cryst. 320, 157 (1998).
[CrossRef]

Zel’dovich, B. Ya.

N. V. Tabyrian, A. V. Sukhov, and B. Ya. Zel’dovich, Mol. Cryst. Liq. Cryst. 136, 1 (1986).
[CrossRef]

Appl. Phys. Lett. (1)

M. Peccianti, A. de Rossi, G. Assanto, A. de Luca, C. Umeton, and I. C. Khoo, Appl. Phys. Lett. 77, 7 (2000).
[CrossRef]

J. Opt. A (1)

F. Derrien, J. F. Henninot, M. Warenghem, and G. Abbate, J. Opt. A 2, 332 (2000).
[CrossRef]

Mol. Cryst. Liq. Cryst. (2)

N. V. Tabyrian, A. V. Sukhov, and B. Ya. Zel’dovich, Mol. Cryst. Liq. Cryst. 136, 1 (1986).
[CrossRef]

M. A. Karpierz, M. Sierakowski, M. Swillo, and T. Wolinsky, Mol. Cryst. Liq. Cryst. 320, 157 (1998).
[CrossRef]

Opt. Express (1)

Opt. Lett. (2)

Phys. Rev. A (1)

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

Phys. Rev. Lett. (4)

D. N. Christodoulides, T. Coskun, M. Mitchell, and M. Segev, Phys. Rev. Lett. 78, 646 (1997).
[CrossRef]

D. N. Christodoulides, T. Coskun, M. Mitchell, and M. Segev, Phys. Rev. Lett. 80, 2310 (1998).
[CrossRef]

P. L. Kelley, Phys. Rev. Lett. 15, 1005 (1965).
[CrossRef]

M. Mitchell, Z. Chen, M. Shih, and M. Segev, Phys. Rev. Lett. 77, 490 (1996).
[CrossRef] [PubMed]

Other (2)

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

M. J. Weber, ed., CRC Handbook of Laser Science and Technology, (CRC Press, New York, 1995), Suppl.  2.

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Figures (4)

Fig. 1
Fig. 1

Sketch of the planar cell with an applied voltage bias V across the NLC. The elongated NLC molecules are represented with their static tilt distribution that is due to planar anchorage, bias, and a SiO2-coated input interface.

Fig. 2
Fig. 2

Experimental results (contour maps from actual photos) with a spatially coherent Ar+ beam (514  nm) of 2-mW power in a 75μm-thick NLC cell with bias V=1 V (rms): (a) diffraction of a y-polarized beam with 11° angular divergence, (b) spatial soliton formation from an x-polarized beam.

Fig. 3
Fig. 3

Photograph of (a) the typical speckle pattern of the Ar+ beam after it traverses the diffuser, when it is held stationary, and (b) the corresponding optical Fourier transform. In this example, the beam-to-speckle size ratio is larger than 20 and is clearly direction dependent. The maximum ratio is achieved in the transverse y coordinate, along which the self-confinement is analyzed with the camera.

Fig. 4
Fig. 4

Contour maps from actual photos of a spatially incoherent Ar+ beam with 2.7-mW power. (a) Linear diffraction of a y-polarized beam, (b) solitary wave from an x-polarized beam.

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