Abstract

The nonlocal nonlinearity stemming from molecular reorientation in nematic liquid crystals supports the formation of multiple solitary waves, following the onset of spatial modulational instability from both wide and focused input beams. We report experimental observations of such phenomena at power levels of hundreds of milliwatts in planar cells with a voltage bias.

© 2003 Optical Society of America

Full Article  |  PDF Article

References

  • View by:
  • |
  • |
  • |

  1. G. I. Stegeman, D. N. Christodoulides, and M. Segev, IEEE J. Sel. Top. Quantum Electron. 6, 1419 (2000).
    [CrossRef]
  2. S. Trillo and W. E. Torruellas, eds., Spatial Solitons (Springer-Verlag, Berlin, 2001).
    [CrossRef]
  3. G. Assanto, M. Peccianti, and C. Conti, Opt. Photon. News 14, 44 (2003).
    [CrossRef]
  4. G. Assanto and M. Peccianti, IEEE J. Quantum Electron. 39, 13 (2003).
    [CrossRef]
  5. J. F. Henninot, M. Debailleul, F. Derrien, G. Abbate, and M. Warenghem, Synth. Met. 1–5, 8915 (2001).
  6. M. Peccianti, K. A. Brzdakiewicz, and G. Assanto, Opt. Lett. 27, 1460 (2002).
    [CrossRef]
  7. M. Peccianti, C. Conti, G. Assanto, A. De Luca, and C. Umeton, Appl. Phys. Lett. 81, 3335 (2002).
    [CrossRef]
  8. N. V. Tabiryan, A. V. Sukhov, and B. Ya. Zel'dovich, Mol. Cryst. Liq. Cryst. 136, 1 (1986).
    [CrossRef]
  9. I. C. Khoo, Liquid Crystals: Physical Properties and Nonlinear Optical Phenomena (Wiley, New York, 1995).
  10. R. A. Fuerst, D.-M. Baboiu, B. Lawrence, W. E. Torruellas, G. I. Stegeman, and S. Trillo, Phys. Rev. Lett. 78, 2760 (1997).
    [CrossRef]
  11. R. Malendevich, L. Jankovic, G. Stegeman, and J. S. Aitchison, Opt. Lett. 26, 1879 (2001).
    [CrossRef]
  12. G. I. Stegeman, R. Schiek, H. Fang, R. Malendevich, L. Jankovic, L. Torner, W. Sohler, and G. Schreiber, Laser Phys. 13, 137 (2003).
  13. M. D. Iturbe-Castillo, M. Torres-Cisneros, J. J. Sanchez-Mondragon, S. Chavez-Cerda, S. I. Stepanov, V. A. Vysloukh, and G. E. Torres-Cisneros, Opt. Lett. 20, 1853 (1995).
    [CrossRef] [PubMed]
  14. M. I. Carvalho, S. L. Singh, and D. N. Christodoulides, Opt. Commun. 126, 167 (1996).
    [CrossRef]
  15. D. Kip, M. Soljacic, M. Segev, E. Eugenieva, and D. N. Christodoulides, Science 290, 495 (2000).
    [CrossRef] [PubMed]
  16. A. G. Litvak, V. A. Mironov, G. M. Fraiman, and A. D. Yunakovskii, Sov. J. Plasma Phys. 1, 31 (1975).
  17. W. Królikowski, O. Bang, J. J. Rasmussen, and J. Willer, Phys. Rev. E 64, 016612 (2001).
    [CrossRef]
  18. J. Willer, W. Królikowski, O. Bang, and J. J. Rasmussen, Phys. Rev. E 66, 066615 (2002).
    [CrossRef]

2003 (3)

G. Assanto, M. Peccianti, and C. Conti, Opt. Photon. News 14, 44 (2003).
[CrossRef]

G. Assanto and M. Peccianti, IEEE J. Quantum Electron. 39, 13 (2003).
[CrossRef]

G. I. Stegeman, R. Schiek, H. Fang, R. Malendevich, L. Jankovic, L. Torner, W. Sohler, and G. Schreiber, Laser Phys. 13, 137 (2003).

2002 (3)

J. Willer, W. Królikowski, O. Bang, and J. J. Rasmussen, Phys. Rev. E 66, 066615 (2002).
[CrossRef]

M. Peccianti, K. A. Brzdakiewicz, and G. Assanto, Opt. Lett. 27, 1460 (2002).
[CrossRef]

M. Peccianti, C. Conti, G. Assanto, A. De Luca, and C. Umeton, Appl. Phys. Lett. 81, 3335 (2002).
[CrossRef]

2001 (4)

J. F. Henninot, M. Debailleul, F. Derrien, G. Abbate, and M. Warenghem, Synth. Met. 1–5, 8915 (2001).

S. Trillo and W. E. Torruellas, eds., Spatial Solitons (Springer-Verlag, Berlin, 2001).
[CrossRef]

W. Królikowski, O. Bang, J. J. Rasmussen, and J. Willer, Phys. Rev. E 64, 016612 (2001).
[CrossRef]

R. Malendevich, L. Jankovic, G. Stegeman, and J. S. Aitchison, Opt. Lett. 26, 1879 (2001).
[CrossRef]

2000 (2)

D. Kip, M. Soljacic, M. Segev, E. Eugenieva, and D. N. Christodoulides, Science 290, 495 (2000).
[CrossRef] [PubMed]

G. I. Stegeman, D. N. Christodoulides, and M. Segev, IEEE J. Sel. Top. Quantum Electron. 6, 1419 (2000).
[CrossRef]

1997 (1)

R. A. Fuerst, D.-M. Baboiu, B. Lawrence, W. E. Torruellas, G. I. Stegeman, and S. Trillo, Phys. Rev. Lett. 78, 2760 (1997).
[CrossRef]

1996 (1)

M. I. Carvalho, S. L. Singh, and D. N. Christodoulides, Opt. Commun. 126, 167 (1996).
[CrossRef]

1995 (2)

1986 (1)

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

1975 (1)

A. G. Litvak, V. A. Mironov, G. M. Fraiman, and A. D. Yunakovskii, Sov. J. Plasma Phys. 1, 31 (1975).

Abbate, G.

J. F. Henninot, M. Debailleul, F. Derrien, G. Abbate, and M. Warenghem, Synth. Met. 1–5, 8915 (2001).

Aitchison, J. S.

Assanto, G.

G. Assanto, M. Peccianti, and C. Conti, Opt. Photon. News 14, 44 (2003).
[CrossRef]

G. Assanto and M. Peccianti, IEEE J. Quantum Electron. 39, 13 (2003).
[CrossRef]

M. Peccianti, C. Conti, G. Assanto, A. De Luca, and C. Umeton, Appl. Phys. Lett. 81, 3335 (2002).
[CrossRef]

M. Peccianti, K. A. Brzdakiewicz, and G. Assanto, Opt. Lett. 27, 1460 (2002).
[CrossRef]

Baboiu, D.-M.

R. A. Fuerst, D.-M. Baboiu, B. Lawrence, W. E. Torruellas, G. I. Stegeman, and S. Trillo, Phys. Rev. Lett. 78, 2760 (1997).
[CrossRef]

Bang, O.

J. Willer, W. Królikowski, O. Bang, and J. J. Rasmussen, Phys. Rev. E 66, 066615 (2002).
[CrossRef]

W. Królikowski, O. Bang, J. J. Rasmussen, and J. Willer, Phys. Rev. E 64, 016612 (2001).
[CrossRef]

Brzdakiewicz, K. A.

Carvalho, M. I.

M. I. Carvalho, S. L. Singh, and D. N. Christodoulides, Opt. Commun. 126, 167 (1996).
[CrossRef]

Chavez-Cerda, S.

Christodoulides, D. N.

D. Kip, M. Soljacic, M. Segev, E. Eugenieva, and D. N. Christodoulides, Science 290, 495 (2000).
[CrossRef] [PubMed]

G. I. Stegeman, D. N. Christodoulides, and M. Segev, IEEE J. Sel. Top. Quantum Electron. 6, 1419 (2000).
[CrossRef]

M. I. Carvalho, S. L. Singh, and D. N. Christodoulides, Opt. Commun. 126, 167 (1996).
[CrossRef]

Conti, C.

G. Assanto, M. Peccianti, and C. Conti, Opt. Photon. News 14, 44 (2003).
[CrossRef]

M. Peccianti, C. Conti, G. Assanto, A. De Luca, and C. Umeton, Appl. Phys. Lett. 81, 3335 (2002).
[CrossRef]

De Luca, A.

M. Peccianti, C. Conti, G. Assanto, A. De Luca, and C. Umeton, Appl. Phys. Lett. 81, 3335 (2002).
[CrossRef]

Debailleul, M.

J. F. Henninot, M. Debailleul, F. Derrien, G. Abbate, and M. Warenghem, Synth. Met. 1–5, 8915 (2001).

Derrien, F.

J. F. Henninot, M. Debailleul, F. Derrien, G. Abbate, and M. Warenghem, Synth. Met. 1–5, 8915 (2001).

Eugenieva, E.

D. Kip, M. Soljacic, M. Segev, E. Eugenieva, and D. N. Christodoulides, Science 290, 495 (2000).
[CrossRef] [PubMed]

Fang, H.

G. I. Stegeman, R. Schiek, H. Fang, R. Malendevich, L. Jankovic, L. Torner, W. Sohler, and G. Schreiber, Laser Phys. 13, 137 (2003).

Fraiman, G. M.

A. G. Litvak, V. A. Mironov, G. M. Fraiman, and A. D. Yunakovskii, Sov. J. Plasma Phys. 1, 31 (1975).

Fuerst, R. A.

R. A. Fuerst, D.-M. Baboiu, B. Lawrence, W. E. Torruellas, G. I. Stegeman, and S. Trillo, Phys. Rev. Lett. 78, 2760 (1997).
[CrossRef]

Henninot, J. F.

J. F. Henninot, M. Debailleul, F. Derrien, G. Abbate, and M. Warenghem, Synth. Met. 1–5, 8915 (2001).

Iturbe-Castillo, M. D.

Jankovic, L.

G. I. Stegeman, R. Schiek, H. Fang, R. Malendevich, L. Jankovic, L. Torner, W. Sohler, and G. Schreiber, Laser Phys. 13, 137 (2003).

R. Malendevich, L. Jankovic, G. Stegeman, and J. S. Aitchison, Opt. Lett. 26, 1879 (2001).
[CrossRef]

Khoo, I. C.

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

Kip, D.

D. Kip, M. Soljacic, M. Segev, E. Eugenieva, and D. N. Christodoulides, Science 290, 495 (2000).
[CrossRef] [PubMed]

Królikowski, W.

J. Willer, W. Królikowski, O. Bang, and J. J. Rasmussen, Phys. Rev. E 66, 066615 (2002).
[CrossRef]

W. Królikowski, O. Bang, J. J. Rasmussen, and J. Willer, Phys. Rev. E 64, 016612 (2001).
[CrossRef]

Lawrence, B.

R. A. Fuerst, D.-M. Baboiu, B. Lawrence, W. E. Torruellas, G. I. Stegeman, and S. Trillo, Phys. Rev. Lett. 78, 2760 (1997).
[CrossRef]

Litvak, A. G.

A. G. Litvak, V. A. Mironov, G. M. Fraiman, and A. D. Yunakovskii, Sov. J. Plasma Phys. 1, 31 (1975).

Malendevich, R.

G. I. Stegeman, R. Schiek, H. Fang, R. Malendevich, L. Jankovic, L. Torner, W. Sohler, and G. Schreiber, Laser Phys. 13, 137 (2003).

R. Malendevich, L. Jankovic, G. Stegeman, and J. S. Aitchison, Opt. Lett. 26, 1879 (2001).
[CrossRef]

Mironov, V. A.

A. G. Litvak, V. A. Mironov, G. M. Fraiman, and A. D. Yunakovskii, Sov. J. Plasma Phys. 1, 31 (1975).

Peccianti, M.

G. Assanto and M. Peccianti, IEEE J. Quantum Electron. 39, 13 (2003).
[CrossRef]

G. Assanto, M. Peccianti, and C. Conti, Opt. Photon. News 14, 44 (2003).
[CrossRef]

M. Peccianti, C. Conti, G. Assanto, A. De Luca, and C. Umeton, Appl. Phys. Lett. 81, 3335 (2002).
[CrossRef]

M. Peccianti, K. A. Brzdakiewicz, and G. Assanto, Opt. Lett. 27, 1460 (2002).
[CrossRef]

Rasmussen, J. J.

J. Willer, W. Królikowski, O. Bang, and J. J. Rasmussen, Phys. Rev. E 66, 066615 (2002).
[CrossRef]

W. Królikowski, O. Bang, J. J. Rasmussen, and J. Willer, Phys. Rev. E 64, 016612 (2001).
[CrossRef]

Sanchez-Mondragon, J. J.

Schiek, R.

G. I. Stegeman, R. Schiek, H. Fang, R. Malendevich, L. Jankovic, L. Torner, W. Sohler, and G. Schreiber, Laser Phys. 13, 137 (2003).

Schreiber, G.

G. I. Stegeman, R. Schiek, H. Fang, R. Malendevich, L. Jankovic, L. Torner, W. Sohler, and G. Schreiber, Laser Phys. 13, 137 (2003).

Segev, M.

G. I. Stegeman, D. N. Christodoulides, and M. Segev, IEEE J. Sel. Top. Quantum Electron. 6, 1419 (2000).
[CrossRef]

D. Kip, M. Soljacic, M. Segev, E. Eugenieva, and D. N. Christodoulides, Science 290, 495 (2000).
[CrossRef] [PubMed]

Singh, S. L.

M. I. Carvalho, S. L. Singh, and D. N. Christodoulides, Opt. Commun. 126, 167 (1996).
[CrossRef]

Sohler, W.

G. I. Stegeman, R. Schiek, H. Fang, R. Malendevich, L. Jankovic, L. Torner, W. Sohler, and G. Schreiber, Laser Phys. 13, 137 (2003).

Soljacic, M.

D. Kip, M. Soljacic, M. Segev, E. Eugenieva, and D. N. Christodoulides, Science 290, 495 (2000).
[CrossRef] [PubMed]

Stegeman, G.

Stegeman, G. I.

G. I. Stegeman, R. Schiek, H. Fang, R. Malendevich, L. Jankovic, L. Torner, W. Sohler, and G. Schreiber, Laser Phys. 13, 137 (2003).

G. I. Stegeman, D. N. Christodoulides, and M. Segev, IEEE J. Sel. Top. Quantum Electron. 6, 1419 (2000).
[CrossRef]

R. A. Fuerst, D.-M. Baboiu, B. Lawrence, W. E. Torruellas, G. I. Stegeman, and S. Trillo, Phys. Rev. Lett. 78, 2760 (1997).
[CrossRef]

Stepanov, S. I.

Sukhov, A. V.

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

Tabiryan, N. V.

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

Torner, L.

G. I. Stegeman, R. Schiek, H. Fang, R. Malendevich, L. Jankovic, L. Torner, W. Sohler, and G. Schreiber, Laser Phys. 13, 137 (2003).

Torres-Cisneros, G. E.

Torres-Cisneros, M.

Torruellas, W. E.

R. A. Fuerst, D.-M. Baboiu, B. Lawrence, W. E. Torruellas, G. I. Stegeman, and S. Trillo, Phys. Rev. Lett. 78, 2760 (1997).
[CrossRef]

Trillo, S.

R. A. Fuerst, D.-M. Baboiu, B. Lawrence, W. E. Torruellas, G. I. Stegeman, and S. Trillo, Phys. Rev. Lett. 78, 2760 (1997).
[CrossRef]

Umeton, C.

M. Peccianti, C. Conti, G. Assanto, A. De Luca, and C. Umeton, Appl. Phys. Lett. 81, 3335 (2002).
[CrossRef]

Vysloukh, V. A.

Warenghem, M.

J. F. Henninot, M. Debailleul, F. Derrien, G. Abbate, and M. Warenghem, Synth. Met. 1–5, 8915 (2001).

Willer, J.

J. Willer, W. Królikowski, O. Bang, and J. J. Rasmussen, Phys. Rev. E 66, 066615 (2002).
[CrossRef]

W. Królikowski, O. Bang, J. J. Rasmussen, and J. Willer, Phys. Rev. E 64, 016612 (2001).
[CrossRef]

Yunakovskii, A. D.

A. G. Litvak, V. A. Mironov, G. M. Fraiman, and A. D. Yunakovskii, Sov. J. Plasma Phys. 1, 31 (1975).

Zel'dovich, B. Ya.

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

Appl. Phys. Lett. (1)

M. Peccianti, C. Conti, G. Assanto, A. De Luca, and C. Umeton, Appl. Phys. Lett. 81, 3335 (2002).
[CrossRef]

IEEE J. Sel. Top. Quantum Electron. (1)

G. I. Stegeman, D. N. Christodoulides, and M. Segev, IEEE J. Sel. Top. Quantum Electron. 6, 1419 (2000).
[CrossRef]

IEEE J. Quantum Electron. (1)

G. Assanto and M. Peccianti, IEEE J. Quantum Electron. 39, 13 (2003).
[CrossRef]

Laser Phys. (1)

G. I. Stegeman, R. Schiek, H. Fang, R. Malendevich, L. Jankovic, L. Torner, W. Sohler, and G. Schreiber, Laser Phys. 13, 137 (2003).

Mol. Cryst. Liq. Cryst. (1)

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

Opt. Commun. (1)

M. I. Carvalho, S. L. Singh, and D. N. Christodoulides, Opt. Commun. 126, 167 (1996).
[CrossRef]

Opt. Lett. (3)

Opt. Photon. News (1)

G. Assanto, M. Peccianti, and C. Conti, Opt. Photon. News 14, 44 (2003).
[CrossRef]

Phys. Rev. E (2)

W. Królikowski, O. Bang, J. J. Rasmussen, and J. Willer, Phys. Rev. E 64, 016612 (2001).
[CrossRef]

J. Willer, W. Królikowski, O. Bang, and J. J. Rasmussen, Phys. Rev. E 66, 066615 (2002).
[CrossRef]

Phys. Rev. Lett. (1)

R. A. Fuerst, D.-M. Baboiu, B. Lawrence, W. E. Torruellas, G. I. Stegeman, and S. Trillo, Phys. Rev. Lett. 78, 2760 (1997).
[CrossRef]

Science (1)

D. Kip, M. Soljacic, M. Segev, E. Eugenieva, and D. N. Christodoulides, Science 290, 495 (2000).
[CrossRef] [PubMed]

Sov. J. Plasma Phys. (1)

A. G. Litvak, V. A. Mironov, G. M. Fraiman, and A. D. Yunakovskii, Sov. J. Plasma Phys. 1, 31 (1975).

Synth. Met. (1)

J. F. Henninot, M. Debailleul, F. Derrien, G. Abbate, and M. Warenghem, Synth. Met. 1–5, 8915 (2001).

Other (2)

S. Trillo and W. E. Torruellas, eds., Spatial Solitons (Springer-Verlag, Berlin, 2001).
[CrossRef]

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

Cited By

OSA participates in CrossRef's Cited-By Linking service. Citing articles from OSA journals and other participating publishers are listed here.

Alert me when this article is cited.


Figures (5)

Fig. 1
Fig. 1

Illustration of the glass cell with planar alignment of the nematic liquid crystal and voltage-induced pretilt θ0π/4. The arrow indicates the direction of propagation of the light beams.

Fig. 2
Fig. 2

Propagation of a 500µm-wide elliptic beam in the yz plane. The sequence from (a) through (d), at powers P of (a) 22, (b) 80, (c) 140, and (d) 300 mW shows the growth of a transverse pattern with higher and higher visibility as the power increases.

Fig. 3
Fig. 3

FFT transverse spectra of the propagating beams. The gray-coded patterns (a)–(d) correspond to those in Figs. 2(a)2(d). At high powers, amplified sidebands become apparent along propagation.

Fig. 4
Fig. 4

Sample set of FFT spectra from Fig. 3 at z=520 µm. The values of P in (a)–(d) are the same as in Fig. 2. Clearly, the sideband grows mainly about Ky=0.25 µm-1. There a unitary intensity corresponds to the on-axis component (i.e., the spatial dc propagating along z).

Fig. 5
Fig. 5

A wide beam is focused inside the cell, with waist (in linear propagation) at z=1.25 mm. At (a) P=5 mW the beam propagates linearly, while at (b) P=35 mW and (c) 47.5 mW, two and three nematicons clearly emerge from the focal section, respectively. When the excitation level is increased, self-focusing of the whole beam takes place as well, moving the waist toward the input interface.

Equations (2)

Equations on this page are rendered with MathJax. Learn more.

2ikAz+2A+k02na2sin2 θ-sin2 θ0A=0,  K2θx2+2θy2+0na2A24+0ΔRFE22sinθ=0,
GKy=Ky2kRcPPR11+RcKy2-RcKy21/2,

Metrics