Abstract

We experimentally investigate the interaction of two counter-propagating spatial optical solitons (nematicons) in bias-free nematic liquid crystals. We demonstrate the existence of vector solitons composed of two nematicons propagating in opposite directions and analyze their stability versus relative distance and input power. We observe the dynamic instability of two counterpropagating nematicons in the form of time-dependent splitting and spatial entanglement.

© 2010 Optical Society of America

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  1. See, e.g., the recent review: M. S. Petrović, M. R. Belić, C. Denz, and Yu. S. Kivshar, "Counterpropagating optical beams and solitons," Las. Photon. Rev., in press (2010); preprint: arXiv:0910.4700.
  2. M. Haelterman, A. P. Sheppard, and A. W. Snyder, "Bimodal counterpropagating spatial solitary waves," Opt. Commun. 103,145 (1993).
    [CrossRef]
  3. O. Cohen, R. Uzdin, T. Carmon, J.W. Fleischer, M. Segev, and S. Odulov, "Collisions between optical spatial solitons propagating in opposite directions," Phys. Rev. Lett. 89,133901 (2002).
    [CrossRef] [PubMed]
  4. M. Belić, Ph. Jander, A. Strinić, A. Desyatnikov, and C. Denz, "Self-trapped bidirectional waveguides in a saturable photorefractive medium," Phys. Rev. E 68, 025601(R) (2003).
    [CrossRef]
  5. M. Belić, Ph. Jander, K. Motzek, A. Desyatnikov, D. Jović, A. Strinić, M. Petrović, C. Denz, and F. Kaiser, "Counterpropagating self-trapped beams in photorefractive crystals," J. Opt. B 6, S190-S196 (2004).
  6. M. Belić, M. Petrović, D. Jović, A. Strinic, D. Arsenović, K. Motzek, F. Kaiser, Ph. Jander, C. Denz, M. Tlidi, and P. Mandel, "Transverse modulational instabilities of counterpropagating solitons in photorefractive crystals," Opt. Express 12, 708-716 (2004), http://www.opticsinfobase.org/abstract.cfm?URI=oe-12-4-708
    [CrossRef] [PubMed]
  7. K. Motzek, M. Belić, T. Richter, C. Denz, A. Desyatnikov, P. Jander, and F. Kaiser, "Counterpropagating beams in biased photorefractive crystals: Anisotropic theory," Phys. Rev. E 71, 016610 (2005).
    [CrossRef]
  8. M. Petrović, D. Jović, M. Belić, J. Schröder, Ph. Jander, and C. Denz, "Two-dimensional counterpropagating spatial solitons in photorefractive crystals," Phys. Rev. Lett. 95, 053901 (2005).
    [CrossRef] [PubMed]
  9. O. Cohen, S. Lan, T. Carmon, J. A. Giordmaine, and M. Segev, "Spatial vector solitons consisting of counterpropagating fields," Opt. Lett. 27, 2013-2015 (2002).
    [CrossRef]
  10. C. Rotschild, O. Cohen, O. Manela, T. Carmon, and M. Segev, "Interactions between spatial screening solitons propagating in opposite directions," J. Opt. Soc. Am. B 21,1354-1357 (2004).
    [CrossRef]
  11. Ph. Jander, J. Schröder, C. Denz, M. Petrović, and M. Belić, "Dynamic instability of self-induced bidirectional waveguides in photorefractive media," Opt. Lett. 30,750-752 (2005).
    [CrossRef] [PubMed]
  12. G. Assanto, M. Peccianti, and C. Conti, "Nematicons: optical spatial solitons in nematic liquid crystals," Opt. Photon. News 14,44-48 (2003).
    [CrossRef]
  13. M. Peccianti, and G. Assanto, "Nematic liquid crystals: A suitable medium for self-confinement of coherent and incoherent light, " Phys. Rev. E 65,035603 (2002).
    [CrossRef]
  14. M. Peccianti, and G. Assanto, "Signal readdressing by steering of spatial solitons in bulk nematic liquid crystals," Opt. Lett. 26,690-1692 (2001).
    [CrossRef]
  15. M. Peccianti, K. A. Brzdiakiewicz, and G. Assanto, "Nonlocal spatial soliton interactions in nematic liquid crystals," Opt. Lett. 27,1460-1462 (2002).
    [CrossRef]
  16. M. Peccianti, C. Conti, G. Assanto, A. De Luca, and C. Umeton, "All Optical Switching and Logic Gating with Spatial Solitons in Liquid Crystals," Appl. Phys. Lett. 81,3335-3337 (2002).
    [CrossRef]
  17. A. Alberucci, M. Peccianti, G. Assanto, A. Dyadyusha, and M. Kaczmarek, "Two-color vector solitons in non local media," Phys. Rev. Lett. 97,153903(2006).
    [CrossRef] [PubMed]
  18. A. Fratalocchi, A. Piccardi, M. Peccianti, and G. Assanto, "Nonlinearly controlled angular momentum of soliton clusters," Opt. Lett. 32,1447-1449 (2007).
    [CrossRef] [PubMed]
  19. J. Henninot, M. Debailleul, and M. Warenghem, "Tunable non-locality of termal non-linearity in Dye Doped Nematic Liquied crystal," Mol. Cryst. Liq. Cryst. 375,631 (2002).
    [CrossRef]
  20. J. Henninot, J. Blach, and M. Warenghem, "Experimental study of the nonlocality of spatial optical solitons excited in nematic liquid crystal," J. Opt. A. 9,20-25 (2007).
  21. A. I. Strinić, D. M. Jović, M. S. Petrović, D. V. Timotijević, N. B. Aleksić, and M. R. Belić, "Counterpropagating beams in nematic liquid crystals," Opt. Express 14, 12310-12315 (2006), http://www.opticsinfobase.org/oe/abstract.cfm?URI=oe-14-25-12310
    [CrossRef] [PubMed]
  22. M. Peccianti, G. Assanto, A. De Luca, C. Umeton, and I. C. Khoo, "Electrically Assisted Self-Confinement and Waveguiding in planar Nematic Liquid Crystal cells," Appl. Phys. Lett. 77,7-9 (2000).
    [CrossRef]
  23. M. Peccianti, C. Conti, G. Assanto, A. de Luca, and C. Umeton, "Highly anisotropic spatial solitons, modulational instability and their routing in liquid crystals," Nature 432,733-737 (2004).
    [CrossRef] [PubMed]
  24. A. Piccardi, G. Assanto, L. Lucchetti, and F. Simoni, "All-optical steering of soliton waveguides in dye-doped liquid crystals," Appl. Phys. Lett. 93,171104 (2008).
    [CrossRef]
  25. Ya. Izdebskaya, V. Shvedov, A. S. Desyatnikov, W. Krolikowski, G. Assanto, and Yu. S. Kivshar, "Incoherent interaction of nematicons in bias-free liquid-crystal cells," J. Eur. Opt. Soc.: Rapid Comm., in press (2010); also available at arXiv: nlin.PS/0911.4231.
    [CrossRef]
  26. J. Baran, Z. Raszewski, R. Dabrowski, J. Kedzierski, and J. Rutkowska, "Some Physical Properties of Mesogenic 4-(trans-4’-n-Alkylcyclohexyl) Isothiocyanatobenzenes," Mol. Cryst. Liq. Cryst. 123,237 (1985).
    [CrossRef]
  27. R. Dabrowski, J. Dziaduszek, and T. Szczucinski, "Mesomorphic Characteristics of Some New Homologous Series with the Isothiocyanato Terminal Group," Mol. Cryst. Liq. Cryst. 124,241-257 (1985).
  28. E. Brasselet, B. Doyon, T. V. Galstian, and L. J. Dubé, "Optically induced dynamics in nematic liquid crystals: The role of finite beam size," Phys. Rev. E 69, 021701 (2004).
    [CrossRef]
  29. M. Peccianti, A. Fratalocchi, and G. Assanto, "Transverse dynamics of nematicons," Opt. Express 12, 6524-6529 (2004), http://www.opticsinfobase.org/oe/abstract.cfm?URI=oe-12-26-6524
    [CrossRef] [PubMed]
  30. M. Peccianti and G. Assanto, "Observation of power-dependent walk-off via modulational instability in nematic liquid crystals," Opt. Lett. 30,2290-2292 (2005).
    [CrossRef] [PubMed]
  31. A. Piccardi, A. Alberucci, and G. Assanto, "Soliton self-deflection via power-dependent walk-off," Appl. Phys. Lett., in press (2010).
    [CrossRef]
  32. J. Beeckman, K. Neyts, X. Hutsebaut, C. Cambournac, and M. Haelterman, "Time dependence of soliton formation in planar cells of nematic liquid crystals," IEEE J. Quant. Electron. 41, 735-740 (2005).
    [CrossRef]

2010 (1)

A. Piccardi, A. Alberucci, and G. Assanto, "Soliton self-deflection via power-dependent walk-off," Appl. Phys. Lett., in press (2010).
[CrossRef]

2008 (1)

A. Piccardi, G. Assanto, L. Lucchetti, and F. Simoni, "All-optical steering of soliton waveguides in dye-doped liquid crystals," Appl. Phys. Lett. 93,171104 (2008).
[CrossRef]

2007 (2)

J. Henninot, J. Blach, and M. Warenghem, "Experimental study of the nonlocality of spatial optical solitons excited in nematic liquid crystal," J. Opt. A. 9,20-25 (2007).

A. Fratalocchi, A. Piccardi, M. Peccianti, and G. Assanto, "Nonlinearly controlled angular momentum of soliton clusters," Opt. Lett. 32,1447-1449 (2007).
[CrossRef] [PubMed]

2006 (2)

2005 (5)

K. Motzek, M. Belić, T. Richter, C. Denz, A. Desyatnikov, P. Jander, and F. Kaiser, "Counterpropagating beams in biased photorefractive crystals: Anisotropic theory," Phys. Rev. E 71, 016610 (2005).
[CrossRef]

M. Petrović, D. Jović, M. Belić, J. Schröder, Ph. Jander, and C. Denz, "Two-dimensional counterpropagating spatial solitons in photorefractive crystals," Phys. Rev. Lett. 95, 053901 (2005).
[CrossRef] [PubMed]

M. Peccianti and G. Assanto, "Observation of power-dependent walk-off via modulational instability in nematic liquid crystals," Opt. Lett. 30,2290-2292 (2005).
[CrossRef] [PubMed]

J. Beeckman, K. Neyts, X. Hutsebaut, C. Cambournac, and M. Haelterman, "Time dependence of soliton formation in planar cells of nematic liquid crystals," IEEE J. Quant. Electron. 41, 735-740 (2005).
[CrossRef]

Ph. Jander, J. Schröder, C. Denz, M. Petrović, and M. Belić, "Dynamic instability of self-induced bidirectional waveguides in photorefractive media," Opt. Lett. 30,750-752 (2005).
[CrossRef] [PubMed]

2004 (6)

M. Peccianti, A. Fratalocchi, and G. Assanto, "Transverse dynamics of nematicons," Opt. Express 12, 6524-6529 (2004), http://www.opticsinfobase.org/oe/abstract.cfm?URI=oe-12-26-6524
[CrossRef] [PubMed]

M. Belić, M. Petrović, D. Jović, A. Strinic, D. Arsenović, K. Motzek, F. Kaiser, Ph. Jander, C. Denz, M. Tlidi, and P. Mandel, "Transverse modulational instabilities of counterpropagating solitons in photorefractive crystals," Opt. Express 12, 708-716 (2004), http://www.opticsinfobase.org/abstract.cfm?URI=oe-12-4-708
[CrossRef] [PubMed]

C. Rotschild, O. Cohen, O. Manela, T. Carmon, and M. Segev, "Interactions between spatial screening solitons propagating in opposite directions," J. Opt. Soc. Am. B 21,1354-1357 (2004).
[CrossRef]

M. Belić, Ph. Jander, K. Motzek, A. Desyatnikov, D. Jović, A. Strinić, M. Petrović, C. Denz, and F. Kaiser, "Counterpropagating self-trapped beams in photorefractive crystals," J. Opt. B 6, S190-S196 (2004).

M. Peccianti, C. Conti, G. Assanto, A. de Luca, and C. Umeton, "Highly anisotropic spatial solitons, modulational instability and their routing in liquid crystals," Nature 432,733-737 (2004).
[CrossRef] [PubMed]

E. Brasselet, B. Doyon, T. V. Galstian, and L. J. Dubé, "Optically induced dynamics in nematic liquid crystals: The role of finite beam size," Phys. Rev. E 69, 021701 (2004).
[CrossRef]

2003 (1)

G. Assanto, M. Peccianti, and C. Conti, "Nematicons: optical spatial solitons in nematic liquid crystals," Opt. Photon. News 14,44-48 (2003).
[CrossRef]

2002 (6)

M. Peccianti, and G. Assanto, "Nematic liquid crystals: A suitable medium for self-confinement of coherent and incoherent light, " Phys. Rev. E 65,035603 (2002).
[CrossRef]

M. Peccianti, C. Conti, G. Assanto, A. De Luca, and C. Umeton, "All Optical Switching and Logic Gating with Spatial Solitons in Liquid Crystals," Appl. Phys. Lett. 81,3335-3337 (2002).
[CrossRef]

O. Cohen, R. Uzdin, T. Carmon, J.W. Fleischer, M. Segev, and S. Odulov, "Collisions between optical spatial solitons propagating in opposite directions," Phys. Rev. Lett. 89,133901 (2002).
[CrossRef] [PubMed]

J. Henninot, M. Debailleul, and M. Warenghem, "Tunable non-locality of termal non-linearity in Dye Doped Nematic Liquied crystal," Mol. Cryst. Liq. Cryst. 375,631 (2002).
[CrossRef]

M. Peccianti, K. A. Brzdiakiewicz, and G. Assanto, "Nonlocal spatial soliton interactions in nematic liquid crystals," Opt. Lett. 27,1460-1462 (2002).
[CrossRef]

O. Cohen, S. Lan, T. Carmon, J. A. Giordmaine, and M. Segev, "Spatial vector solitons consisting of counterpropagating fields," Opt. Lett. 27, 2013-2015 (2002).
[CrossRef]

2001 (1)

M. Peccianti, and G. Assanto, "Signal readdressing by steering of spatial solitons in bulk nematic liquid crystals," Opt. Lett. 26,690-1692 (2001).
[CrossRef]

2000 (1)

M. Peccianti, G. Assanto, A. De Luca, C. Umeton, and I. C. Khoo, "Electrically Assisted Self-Confinement and Waveguiding in planar Nematic Liquid Crystal cells," Appl. Phys. Lett. 77,7-9 (2000).
[CrossRef]

1993 (1)

M. Haelterman, A. P. Sheppard, and A. W. Snyder, "Bimodal counterpropagating spatial solitary waves," Opt. Commun. 103,145 (1993).
[CrossRef]

1985 (2)

J. Baran, Z. Raszewski, R. Dabrowski, J. Kedzierski, and J. Rutkowska, "Some Physical Properties of Mesogenic 4-(trans-4’-n-Alkylcyclohexyl) Isothiocyanatobenzenes," Mol. Cryst. Liq. Cryst. 123,237 (1985).
[CrossRef]

R. Dabrowski, J. Dziaduszek, and T. Szczucinski, "Mesomorphic Characteristics of Some New Homologous Series with the Isothiocyanato Terminal Group," Mol. Cryst. Liq. Cryst. 124,241-257 (1985).

Alberucci, A.

A. Piccardi, A. Alberucci, and G. Assanto, "Soliton self-deflection via power-dependent walk-off," Appl. Phys. Lett., in press (2010).
[CrossRef]

A. Alberucci, M. Peccianti, G. Assanto, A. Dyadyusha, and M. Kaczmarek, "Two-color vector solitons in non local media," Phys. Rev. Lett. 97,153903(2006).
[CrossRef] [PubMed]

Aleksic, N. B.

Arsenovic, D.

Assanto, G.

A. Piccardi, A. Alberucci, and G. Assanto, "Soliton self-deflection via power-dependent walk-off," Appl. Phys. Lett., in press (2010).
[CrossRef]

A. Piccardi, G. Assanto, L. Lucchetti, and F. Simoni, "All-optical steering of soliton waveguides in dye-doped liquid crystals," Appl. Phys. Lett. 93,171104 (2008).
[CrossRef]

A. Fratalocchi, A. Piccardi, M. Peccianti, and G. Assanto, "Nonlinearly controlled angular momentum of soliton clusters," Opt. Lett. 32,1447-1449 (2007).
[CrossRef] [PubMed]

A. Alberucci, M. Peccianti, G. Assanto, A. Dyadyusha, and M. Kaczmarek, "Two-color vector solitons in non local media," Phys. Rev. Lett. 97,153903(2006).
[CrossRef] [PubMed]

M. Peccianti and G. Assanto, "Observation of power-dependent walk-off via modulational instability in nematic liquid crystals," Opt. Lett. 30,2290-2292 (2005).
[CrossRef] [PubMed]

M. Peccianti, A. Fratalocchi, and G. Assanto, "Transverse dynamics of nematicons," Opt. Express 12, 6524-6529 (2004), http://www.opticsinfobase.org/oe/abstract.cfm?URI=oe-12-26-6524
[CrossRef] [PubMed]

M. Peccianti, C. Conti, G. Assanto, A. de Luca, and C. Umeton, "Highly anisotropic spatial solitons, modulational instability and their routing in liquid crystals," Nature 432,733-737 (2004).
[CrossRef] [PubMed]

G. Assanto, M. Peccianti, and C. Conti, "Nematicons: optical spatial solitons in nematic liquid crystals," Opt. Photon. News 14,44-48 (2003).
[CrossRef]

M. Peccianti, and G. Assanto, "Nematic liquid crystals: A suitable medium for self-confinement of coherent and incoherent light, " Phys. Rev. E 65,035603 (2002).
[CrossRef]

M. Peccianti, C. Conti, G. Assanto, A. De Luca, and C. Umeton, "All Optical Switching and Logic Gating with Spatial Solitons in Liquid Crystals," Appl. Phys. Lett. 81,3335-3337 (2002).
[CrossRef]

M. Peccianti, K. A. Brzdiakiewicz, and G. Assanto, "Nonlocal spatial soliton interactions in nematic liquid crystals," Opt. Lett. 27,1460-1462 (2002).
[CrossRef]

M. Peccianti, and G. Assanto, "Signal readdressing by steering of spatial solitons in bulk nematic liquid crystals," Opt. Lett. 26,690-1692 (2001).
[CrossRef]

M. Peccianti, G. Assanto, A. De Luca, C. Umeton, and I. C. Khoo, "Electrically Assisted Self-Confinement and Waveguiding in planar Nematic Liquid Crystal cells," Appl. Phys. Lett. 77,7-9 (2000).
[CrossRef]

Baran, J.

J. Baran, Z. Raszewski, R. Dabrowski, J. Kedzierski, and J. Rutkowska, "Some Physical Properties of Mesogenic 4-(trans-4’-n-Alkylcyclohexyl) Isothiocyanatobenzenes," Mol. Cryst. Liq. Cryst. 123,237 (1985).
[CrossRef]

Beeckman, J.

J. Beeckman, K. Neyts, X. Hutsebaut, C. Cambournac, and M. Haelterman, "Time dependence of soliton formation in planar cells of nematic liquid crystals," IEEE J. Quant. Electron. 41, 735-740 (2005).
[CrossRef]

Belic, M.

Ph. Jander, J. Schröder, C. Denz, M. Petrović, and M. Belić, "Dynamic instability of self-induced bidirectional waveguides in photorefractive media," Opt. Lett. 30,750-752 (2005).
[CrossRef] [PubMed]

M. Petrović, D. Jović, M. Belić, J. Schröder, Ph. Jander, and C. Denz, "Two-dimensional counterpropagating spatial solitons in photorefractive crystals," Phys. Rev. Lett. 95, 053901 (2005).
[CrossRef] [PubMed]

K. Motzek, M. Belić, T. Richter, C. Denz, A. Desyatnikov, P. Jander, and F. Kaiser, "Counterpropagating beams in biased photorefractive crystals: Anisotropic theory," Phys. Rev. E 71, 016610 (2005).
[CrossRef]

M. Belić, Ph. Jander, K. Motzek, A. Desyatnikov, D. Jović, A. Strinić, M. Petrović, C. Denz, and F. Kaiser, "Counterpropagating self-trapped beams in photorefractive crystals," J. Opt. B 6, S190-S196 (2004).

M. Belić, M. Petrović, D. Jović, A. Strinic, D. Arsenović, K. Motzek, F. Kaiser, Ph. Jander, C. Denz, M. Tlidi, and P. Mandel, "Transverse modulational instabilities of counterpropagating solitons in photorefractive crystals," Opt. Express 12, 708-716 (2004), http://www.opticsinfobase.org/abstract.cfm?URI=oe-12-4-708
[CrossRef] [PubMed]

Belic, M. R.

Blach, J.

J. Henninot, J. Blach, and M. Warenghem, "Experimental study of the nonlocality of spatial optical solitons excited in nematic liquid crystal," J. Opt. A. 9,20-25 (2007).

Brasselet, E.

E. Brasselet, B. Doyon, T. V. Galstian, and L. J. Dubé, "Optically induced dynamics in nematic liquid crystals: The role of finite beam size," Phys. Rev. E 69, 021701 (2004).
[CrossRef]

Brzdiakiewicz, K. A.

Cambournac, C.

J. Beeckman, K. Neyts, X. Hutsebaut, C. Cambournac, and M. Haelterman, "Time dependence of soliton formation in planar cells of nematic liquid crystals," IEEE J. Quant. Electron. 41, 735-740 (2005).
[CrossRef]

Carmon, T.

Cohen, O.

Conti, C.

M. Peccianti, C. Conti, G. Assanto, A. de Luca, and C. Umeton, "Highly anisotropic spatial solitons, modulational instability and their routing in liquid crystals," Nature 432,733-737 (2004).
[CrossRef] [PubMed]

G. Assanto, M. Peccianti, and C. Conti, "Nematicons: optical spatial solitons in nematic liquid crystals," Opt. Photon. News 14,44-48 (2003).
[CrossRef]

M. Peccianti, C. Conti, G. Assanto, A. De Luca, and C. Umeton, "All Optical Switching and Logic Gating with Spatial Solitons in Liquid Crystals," Appl. Phys. Lett. 81,3335-3337 (2002).
[CrossRef]

Dabrowski, R.

J. Baran, Z. Raszewski, R. Dabrowski, J. Kedzierski, and J. Rutkowska, "Some Physical Properties of Mesogenic 4-(trans-4’-n-Alkylcyclohexyl) Isothiocyanatobenzenes," Mol. Cryst. Liq. Cryst. 123,237 (1985).
[CrossRef]

R. Dabrowski, J. Dziaduszek, and T. Szczucinski, "Mesomorphic Characteristics of Some New Homologous Series with the Isothiocyanato Terminal Group," Mol. Cryst. Liq. Cryst. 124,241-257 (1985).

de Luca, A.

M. Peccianti, C. Conti, G. Assanto, A. de Luca, and C. Umeton, "Highly anisotropic spatial solitons, modulational instability and their routing in liquid crystals," Nature 432,733-737 (2004).
[CrossRef] [PubMed]

M. Peccianti, C. Conti, G. Assanto, A. De Luca, and C. Umeton, "All Optical Switching and Logic Gating with Spatial Solitons in Liquid Crystals," Appl. Phys. Lett. 81,3335-3337 (2002).
[CrossRef]

M. Peccianti, G. Assanto, A. De Luca, C. Umeton, and I. C. Khoo, "Electrically Assisted Self-Confinement and Waveguiding in planar Nematic Liquid Crystal cells," Appl. Phys. Lett. 77,7-9 (2000).
[CrossRef]

Debailleul, M.

J. Henninot, M. Debailleul, and M. Warenghem, "Tunable non-locality of termal non-linearity in Dye Doped Nematic Liquied crystal," Mol. Cryst. Liq. Cryst. 375,631 (2002).
[CrossRef]

Denz, C.

M. Petrović, D. Jović, M. Belić, J. Schröder, Ph. Jander, and C. Denz, "Two-dimensional counterpropagating spatial solitons in photorefractive crystals," Phys. Rev. Lett. 95, 053901 (2005).
[CrossRef] [PubMed]

K. Motzek, M. Belić, T. Richter, C. Denz, A. Desyatnikov, P. Jander, and F. Kaiser, "Counterpropagating beams in biased photorefractive crystals: Anisotropic theory," Phys. Rev. E 71, 016610 (2005).
[CrossRef]

Ph. Jander, J. Schröder, C. Denz, M. Petrović, and M. Belić, "Dynamic instability of self-induced bidirectional waveguides in photorefractive media," Opt. Lett. 30,750-752 (2005).
[CrossRef] [PubMed]

M. Belić, M. Petrović, D. Jović, A. Strinic, D. Arsenović, K. Motzek, F. Kaiser, Ph. Jander, C. Denz, M. Tlidi, and P. Mandel, "Transverse modulational instabilities of counterpropagating solitons in photorefractive crystals," Opt. Express 12, 708-716 (2004), http://www.opticsinfobase.org/abstract.cfm?URI=oe-12-4-708
[CrossRef] [PubMed]

M. Belić, Ph. Jander, K. Motzek, A. Desyatnikov, D. Jović, A. Strinić, M. Petrović, C. Denz, and F. Kaiser, "Counterpropagating self-trapped beams in photorefractive crystals," J. Opt. B 6, S190-S196 (2004).

Desyatnikov, A.

K. Motzek, M. Belić, T. Richter, C. Denz, A. Desyatnikov, P. Jander, and F. Kaiser, "Counterpropagating beams in biased photorefractive crystals: Anisotropic theory," Phys. Rev. E 71, 016610 (2005).
[CrossRef]

M. Belić, Ph. Jander, K. Motzek, A. Desyatnikov, D. Jović, A. Strinić, M. Petrović, C. Denz, and F. Kaiser, "Counterpropagating self-trapped beams in photorefractive crystals," J. Opt. B 6, S190-S196 (2004).

Doyon, B.

E. Brasselet, B. Doyon, T. V. Galstian, and L. J. Dubé, "Optically induced dynamics in nematic liquid crystals: The role of finite beam size," Phys. Rev. E 69, 021701 (2004).
[CrossRef]

Dubé, L. J.

E. Brasselet, B. Doyon, T. V. Galstian, and L. J. Dubé, "Optically induced dynamics in nematic liquid crystals: The role of finite beam size," Phys. Rev. E 69, 021701 (2004).
[CrossRef]

Dyadyusha, A.

A. Alberucci, M. Peccianti, G. Assanto, A. Dyadyusha, and M. Kaczmarek, "Two-color vector solitons in non local media," Phys. Rev. Lett. 97,153903(2006).
[CrossRef] [PubMed]

Dziaduszek, J.

R. Dabrowski, J. Dziaduszek, and T. Szczucinski, "Mesomorphic Characteristics of Some New Homologous Series with the Isothiocyanato Terminal Group," Mol. Cryst. Liq. Cryst. 124,241-257 (1985).

Fleischer, J.W.

O. Cohen, R. Uzdin, T. Carmon, J.W. Fleischer, M. Segev, and S. Odulov, "Collisions between optical spatial solitons propagating in opposite directions," Phys. Rev. Lett. 89,133901 (2002).
[CrossRef] [PubMed]

Fratalocchi, A.

Galstian, T. V.

E. Brasselet, B. Doyon, T. V. Galstian, and L. J. Dubé, "Optically induced dynamics in nematic liquid crystals: The role of finite beam size," Phys. Rev. E 69, 021701 (2004).
[CrossRef]

Giordmaine, J. A.

Haelterman, M.

J. Beeckman, K. Neyts, X. Hutsebaut, C. Cambournac, and M. Haelterman, "Time dependence of soliton formation in planar cells of nematic liquid crystals," IEEE J. Quant. Electron. 41, 735-740 (2005).
[CrossRef]

M. Haelterman, A. P. Sheppard, and A. W. Snyder, "Bimodal counterpropagating spatial solitary waves," Opt. Commun. 103,145 (1993).
[CrossRef]

Henninot, J.

J. Henninot, J. Blach, and M. Warenghem, "Experimental study of the nonlocality of spatial optical solitons excited in nematic liquid crystal," J. Opt. A. 9,20-25 (2007).

J. Henninot, M. Debailleul, and M. Warenghem, "Tunable non-locality of termal non-linearity in Dye Doped Nematic Liquied crystal," Mol. Cryst. Liq. Cryst. 375,631 (2002).
[CrossRef]

Hutsebaut, X.

J. Beeckman, K. Neyts, X. Hutsebaut, C. Cambournac, and M. Haelterman, "Time dependence of soliton formation in planar cells of nematic liquid crystals," IEEE J. Quant. Electron. 41, 735-740 (2005).
[CrossRef]

Jander, P.

K. Motzek, M. Belić, T. Richter, C. Denz, A. Desyatnikov, P. Jander, and F. Kaiser, "Counterpropagating beams in biased photorefractive crystals: Anisotropic theory," Phys. Rev. E 71, 016610 (2005).
[CrossRef]

Jander, Ph.

M. Petrović, D. Jović, M. Belić, J. Schröder, Ph. Jander, and C. Denz, "Two-dimensional counterpropagating spatial solitons in photorefractive crystals," Phys. Rev. Lett. 95, 053901 (2005).
[CrossRef] [PubMed]

Ph. Jander, J. Schröder, C. Denz, M. Petrović, and M. Belić, "Dynamic instability of self-induced bidirectional waveguides in photorefractive media," Opt. Lett. 30,750-752 (2005).
[CrossRef] [PubMed]

M. Belić, M. Petrović, D. Jović, A. Strinic, D. Arsenović, K. Motzek, F. Kaiser, Ph. Jander, C. Denz, M. Tlidi, and P. Mandel, "Transverse modulational instabilities of counterpropagating solitons in photorefractive crystals," Opt. Express 12, 708-716 (2004), http://www.opticsinfobase.org/abstract.cfm?URI=oe-12-4-708
[CrossRef] [PubMed]

M. Belić, Ph. Jander, K. Motzek, A. Desyatnikov, D. Jović, A. Strinić, M. Petrović, C. Denz, and F. Kaiser, "Counterpropagating self-trapped beams in photorefractive crystals," J. Opt. B 6, S190-S196 (2004).

Jovic, D.

M. Petrović, D. Jović, M. Belić, J. Schröder, Ph. Jander, and C. Denz, "Two-dimensional counterpropagating spatial solitons in photorefractive crystals," Phys. Rev. Lett. 95, 053901 (2005).
[CrossRef] [PubMed]

M. Belić, Ph. Jander, K. Motzek, A. Desyatnikov, D. Jović, A. Strinić, M. Petrović, C. Denz, and F. Kaiser, "Counterpropagating self-trapped beams in photorefractive crystals," J. Opt. B 6, S190-S196 (2004).

M. Belić, M. Petrović, D. Jović, A. Strinic, D. Arsenović, K. Motzek, F. Kaiser, Ph. Jander, C. Denz, M. Tlidi, and P. Mandel, "Transverse modulational instabilities of counterpropagating solitons in photorefractive crystals," Opt. Express 12, 708-716 (2004), http://www.opticsinfobase.org/abstract.cfm?URI=oe-12-4-708
[CrossRef] [PubMed]

Jovic, D. M.

Kaczmarek, M.

A. Alberucci, M. Peccianti, G. Assanto, A. Dyadyusha, and M. Kaczmarek, "Two-color vector solitons in non local media," Phys. Rev. Lett. 97,153903(2006).
[CrossRef] [PubMed]

Kaiser, F.

K. Motzek, M. Belić, T. Richter, C. Denz, A. Desyatnikov, P. Jander, and F. Kaiser, "Counterpropagating beams in biased photorefractive crystals: Anisotropic theory," Phys. Rev. E 71, 016610 (2005).
[CrossRef]

M. Belić, Ph. Jander, K. Motzek, A. Desyatnikov, D. Jović, A. Strinić, M. Petrović, C. Denz, and F. Kaiser, "Counterpropagating self-trapped beams in photorefractive crystals," J. Opt. B 6, S190-S196 (2004).

M. Belić, M. Petrović, D. Jović, A. Strinic, D. Arsenović, K. Motzek, F. Kaiser, Ph. Jander, C. Denz, M. Tlidi, and P. Mandel, "Transverse modulational instabilities of counterpropagating solitons in photorefractive crystals," Opt. Express 12, 708-716 (2004), http://www.opticsinfobase.org/abstract.cfm?URI=oe-12-4-708
[CrossRef] [PubMed]

Kedzierski, J.

J. Baran, Z. Raszewski, R. Dabrowski, J. Kedzierski, and J. Rutkowska, "Some Physical Properties of Mesogenic 4-(trans-4’-n-Alkylcyclohexyl) Isothiocyanatobenzenes," Mol. Cryst. Liq. Cryst. 123,237 (1985).
[CrossRef]

Khoo, I. C.

M. Peccianti, G. Assanto, A. De Luca, C. Umeton, and I. C. Khoo, "Electrically Assisted Self-Confinement and Waveguiding in planar Nematic Liquid Crystal cells," Appl. Phys. Lett. 77,7-9 (2000).
[CrossRef]

Lan, S.

Lucchetti, L.

A. Piccardi, G. Assanto, L. Lucchetti, and F. Simoni, "All-optical steering of soliton waveguides in dye-doped liquid crystals," Appl. Phys. Lett. 93,171104 (2008).
[CrossRef]

Mandel, P.

Manela, O.

Motzek, K.

K. Motzek, M. Belić, T. Richter, C. Denz, A. Desyatnikov, P. Jander, and F. Kaiser, "Counterpropagating beams in biased photorefractive crystals: Anisotropic theory," Phys. Rev. E 71, 016610 (2005).
[CrossRef]

M. Belić, Ph. Jander, K. Motzek, A. Desyatnikov, D. Jović, A. Strinić, M. Petrović, C. Denz, and F. Kaiser, "Counterpropagating self-trapped beams in photorefractive crystals," J. Opt. B 6, S190-S196 (2004).

M. Belić, M. Petrović, D. Jović, A. Strinic, D. Arsenović, K. Motzek, F. Kaiser, Ph. Jander, C. Denz, M. Tlidi, and P. Mandel, "Transverse modulational instabilities of counterpropagating solitons in photorefractive crystals," Opt. Express 12, 708-716 (2004), http://www.opticsinfobase.org/abstract.cfm?URI=oe-12-4-708
[CrossRef] [PubMed]

Neyts, K.

J. Beeckman, K. Neyts, X. Hutsebaut, C. Cambournac, and M. Haelterman, "Time dependence of soliton formation in planar cells of nematic liquid crystals," IEEE J. Quant. Electron. 41, 735-740 (2005).
[CrossRef]

Odulov, S.

O. Cohen, R. Uzdin, T. Carmon, J.W. Fleischer, M. Segev, and S. Odulov, "Collisions between optical spatial solitons propagating in opposite directions," Phys. Rev. Lett. 89,133901 (2002).
[CrossRef] [PubMed]

Peccianti, M.

A. Fratalocchi, A. Piccardi, M. Peccianti, and G. Assanto, "Nonlinearly controlled angular momentum of soliton clusters," Opt. Lett. 32,1447-1449 (2007).
[CrossRef] [PubMed]

A. Alberucci, M. Peccianti, G. Assanto, A. Dyadyusha, and M. Kaczmarek, "Two-color vector solitons in non local media," Phys. Rev. Lett. 97,153903(2006).
[CrossRef] [PubMed]

M. Peccianti and G. Assanto, "Observation of power-dependent walk-off via modulational instability in nematic liquid crystals," Opt. Lett. 30,2290-2292 (2005).
[CrossRef] [PubMed]

M. Peccianti, A. Fratalocchi, and G. Assanto, "Transverse dynamics of nematicons," Opt. Express 12, 6524-6529 (2004), http://www.opticsinfobase.org/oe/abstract.cfm?URI=oe-12-26-6524
[CrossRef] [PubMed]

M. Peccianti, C. Conti, G. Assanto, A. de Luca, and C. Umeton, "Highly anisotropic spatial solitons, modulational instability and their routing in liquid crystals," Nature 432,733-737 (2004).
[CrossRef] [PubMed]

G. Assanto, M. Peccianti, and C. Conti, "Nematicons: optical spatial solitons in nematic liquid crystals," Opt. Photon. News 14,44-48 (2003).
[CrossRef]

M. Peccianti, and G. Assanto, "Nematic liquid crystals: A suitable medium for self-confinement of coherent and incoherent light, " Phys. Rev. E 65,035603 (2002).
[CrossRef]

M. Peccianti, C. Conti, G. Assanto, A. De Luca, and C. Umeton, "All Optical Switching and Logic Gating with Spatial Solitons in Liquid Crystals," Appl. Phys. Lett. 81,3335-3337 (2002).
[CrossRef]

M. Peccianti, K. A. Brzdiakiewicz, and G. Assanto, "Nonlocal spatial soliton interactions in nematic liquid crystals," Opt. Lett. 27,1460-1462 (2002).
[CrossRef]

M. Peccianti, and G. Assanto, "Signal readdressing by steering of spatial solitons in bulk nematic liquid crystals," Opt. Lett. 26,690-1692 (2001).
[CrossRef]

M. Peccianti, G. Assanto, A. De Luca, C. Umeton, and I. C. Khoo, "Electrically Assisted Self-Confinement and Waveguiding in planar Nematic Liquid Crystal cells," Appl. Phys. Lett. 77,7-9 (2000).
[CrossRef]

Petrovic, M.

M. Petrović, D. Jović, M. Belić, J. Schröder, Ph. Jander, and C. Denz, "Two-dimensional counterpropagating spatial solitons in photorefractive crystals," Phys. Rev. Lett. 95, 053901 (2005).
[CrossRef] [PubMed]

Ph. Jander, J. Schröder, C. Denz, M. Petrović, and M. Belić, "Dynamic instability of self-induced bidirectional waveguides in photorefractive media," Opt. Lett. 30,750-752 (2005).
[CrossRef] [PubMed]

M. Belić, M. Petrović, D. Jović, A. Strinic, D. Arsenović, K. Motzek, F. Kaiser, Ph. Jander, C. Denz, M. Tlidi, and P. Mandel, "Transverse modulational instabilities of counterpropagating solitons in photorefractive crystals," Opt. Express 12, 708-716 (2004), http://www.opticsinfobase.org/abstract.cfm?URI=oe-12-4-708
[CrossRef] [PubMed]

M. Belić, Ph. Jander, K. Motzek, A. Desyatnikov, D. Jović, A. Strinić, M. Petrović, C. Denz, and F. Kaiser, "Counterpropagating self-trapped beams in photorefractive crystals," J. Opt. B 6, S190-S196 (2004).

Petrovic, M. S.

Piccardi, A.

A. Piccardi, A. Alberucci, and G. Assanto, "Soliton self-deflection via power-dependent walk-off," Appl. Phys. Lett., in press (2010).
[CrossRef]

A. Piccardi, G. Assanto, L. Lucchetti, and F. Simoni, "All-optical steering of soliton waveguides in dye-doped liquid crystals," Appl. Phys. Lett. 93,171104 (2008).
[CrossRef]

A. Fratalocchi, A. Piccardi, M. Peccianti, and G. Assanto, "Nonlinearly controlled angular momentum of soliton clusters," Opt. Lett. 32,1447-1449 (2007).
[CrossRef] [PubMed]

Raszewski, Z.

J. Baran, Z. Raszewski, R. Dabrowski, J. Kedzierski, and J. Rutkowska, "Some Physical Properties of Mesogenic 4-(trans-4’-n-Alkylcyclohexyl) Isothiocyanatobenzenes," Mol. Cryst. Liq. Cryst. 123,237 (1985).
[CrossRef]

Richter, T.

K. Motzek, M. Belić, T. Richter, C. Denz, A. Desyatnikov, P. Jander, and F. Kaiser, "Counterpropagating beams in biased photorefractive crystals: Anisotropic theory," Phys. Rev. E 71, 016610 (2005).
[CrossRef]

Rotschild, C.

Rutkowska, J.

J. Baran, Z. Raszewski, R. Dabrowski, J. Kedzierski, and J. Rutkowska, "Some Physical Properties of Mesogenic 4-(trans-4’-n-Alkylcyclohexyl) Isothiocyanatobenzenes," Mol. Cryst. Liq. Cryst. 123,237 (1985).
[CrossRef]

Schröder, J.

M. Petrović, D. Jović, M. Belić, J. Schröder, Ph. Jander, and C. Denz, "Two-dimensional counterpropagating spatial solitons in photorefractive crystals," Phys. Rev. Lett. 95, 053901 (2005).
[CrossRef] [PubMed]

Ph. Jander, J. Schröder, C. Denz, M. Petrović, and M. Belić, "Dynamic instability of self-induced bidirectional waveguides in photorefractive media," Opt. Lett. 30,750-752 (2005).
[CrossRef] [PubMed]

Segev, M.

Sheppard, A. P.

M. Haelterman, A. P. Sheppard, and A. W. Snyder, "Bimodal counterpropagating spatial solitary waves," Opt. Commun. 103,145 (1993).
[CrossRef]

Simoni, F.

A. Piccardi, G. Assanto, L. Lucchetti, and F. Simoni, "All-optical steering of soliton waveguides in dye-doped liquid crystals," Appl. Phys. Lett. 93,171104 (2008).
[CrossRef]

Snyder, A. W.

M. Haelterman, A. P. Sheppard, and A. W. Snyder, "Bimodal counterpropagating spatial solitary waves," Opt. Commun. 103,145 (1993).
[CrossRef]

Strinic, A.

Strinic, A. I.

Szczucinski, T.

R. Dabrowski, J. Dziaduszek, and T. Szczucinski, "Mesomorphic Characteristics of Some New Homologous Series with the Isothiocyanato Terminal Group," Mol. Cryst. Liq. Cryst. 124,241-257 (1985).

Timotijevic, D. V.

Tlidi, M.

Umeton, C.

M. Peccianti, C. Conti, G. Assanto, A. de Luca, and C. Umeton, "Highly anisotropic spatial solitons, modulational instability and their routing in liquid crystals," Nature 432,733-737 (2004).
[CrossRef] [PubMed]

M. Peccianti, C. Conti, G. Assanto, A. De Luca, and C. Umeton, "All Optical Switching and Logic Gating with Spatial Solitons in Liquid Crystals," Appl. Phys. Lett. 81,3335-3337 (2002).
[CrossRef]

M. Peccianti, G. Assanto, A. De Luca, C. Umeton, and I. C. Khoo, "Electrically Assisted Self-Confinement and Waveguiding in planar Nematic Liquid Crystal cells," Appl. Phys. Lett. 77,7-9 (2000).
[CrossRef]

Uzdin, R.

O. Cohen, R. Uzdin, T. Carmon, J.W. Fleischer, M. Segev, and S. Odulov, "Collisions between optical spatial solitons propagating in opposite directions," Phys. Rev. Lett. 89,133901 (2002).
[CrossRef] [PubMed]

Warenghem, M.

J. Henninot, J. Blach, and M. Warenghem, "Experimental study of the nonlocality of spatial optical solitons excited in nematic liquid crystal," J. Opt. A. 9,20-25 (2007).

J. Henninot, M. Debailleul, and M. Warenghem, "Tunable non-locality of termal non-linearity in Dye Doped Nematic Liquied crystal," Mol. Cryst. Liq. Cryst. 375,631 (2002).
[CrossRef]

Appl. Phys. Lett. (4)

M. Peccianti, C. Conti, G. Assanto, A. De Luca, and C. Umeton, "All Optical Switching and Logic Gating with Spatial Solitons in Liquid Crystals," Appl. Phys. Lett. 81,3335-3337 (2002).
[CrossRef]

M. Peccianti, G. Assanto, A. De Luca, C. Umeton, and I. C. Khoo, "Electrically Assisted Self-Confinement and Waveguiding in planar Nematic Liquid Crystal cells," Appl. Phys. Lett. 77,7-9 (2000).
[CrossRef]

A. Piccardi, G. Assanto, L. Lucchetti, and F. Simoni, "All-optical steering of soliton waveguides in dye-doped liquid crystals," Appl. Phys. Lett. 93,171104 (2008).
[CrossRef]

A. Piccardi, A. Alberucci, and G. Assanto, "Soliton self-deflection via power-dependent walk-off," Appl. Phys. Lett., in press (2010).
[CrossRef]

IEEE J. Quant. Electron. (1)

J. Beeckman, K. Neyts, X. Hutsebaut, C. Cambournac, and M. Haelterman, "Time dependence of soliton formation in planar cells of nematic liquid crystals," IEEE J. Quant. Electron. 41, 735-740 (2005).
[CrossRef]

J. Opt. A. (1)

J. Henninot, J. Blach, and M. Warenghem, "Experimental study of the nonlocality of spatial optical solitons excited in nematic liquid crystal," J. Opt. A. 9,20-25 (2007).

J. Opt. B (1)

M. Belić, Ph. Jander, K. Motzek, A. Desyatnikov, D. Jović, A. Strinić, M. Petrović, C. Denz, and F. Kaiser, "Counterpropagating self-trapped beams in photorefractive crystals," J. Opt. B 6, S190-S196 (2004).

J. Opt. Soc. Am. B (1)

Mol. Cryst. Liq. Cryst. (3)

J. Baran, Z. Raszewski, R. Dabrowski, J. Kedzierski, and J. Rutkowska, "Some Physical Properties of Mesogenic 4-(trans-4’-n-Alkylcyclohexyl) Isothiocyanatobenzenes," Mol. Cryst. Liq. Cryst. 123,237 (1985).
[CrossRef]

R. Dabrowski, J. Dziaduszek, and T. Szczucinski, "Mesomorphic Characteristics of Some New Homologous Series with the Isothiocyanato Terminal Group," Mol. Cryst. Liq. Cryst. 124,241-257 (1985).

J. Henninot, M. Debailleul, and M. Warenghem, "Tunable non-locality of termal non-linearity in Dye Doped Nematic Liquied crystal," Mol. Cryst. Liq. Cryst. 375,631 (2002).
[CrossRef]

Nature (1)

M. Peccianti, C. Conti, G. Assanto, A. de Luca, and C. Umeton, "Highly anisotropic spatial solitons, modulational instability and their routing in liquid crystals," Nature 432,733-737 (2004).
[CrossRef] [PubMed]

Opt. Commun. (1)

M. Haelterman, A. P. Sheppard, and A. W. Snyder, "Bimodal counterpropagating spatial solitary waves," Opt. Commun. 103,145 (1993).
[CrossRef]

Opt. Express (3)

Opt. Lett. (6)

Opt. Photon. News (1)

G. Assanto, M. Peccianti, and C. Conti, "Nematicons: optical spatial solitons in nematic liquid crystals," Opt. Photon. News 14,44-48 (2003).
[CrossRef]

Phys. Rev. E (3)

M. Peccianti, and G. Assanto, "Nematic liquid crystals: A suitable medium for self-confinement of coherent and incoherent light, " Phys. Rev. E 65,035603 (2002).
[CrossRef]

K. Motzek, M. Belić, T. Richter, C. Denz, A. Desyatnikov, P. Jander, and F. Kaiser, "Counterpropagating beams in biased photorefractive crystals: Anisotropic theory," Phys. Rev. E 71, 016610 (2005).
[CrossRef]

E. Brasselet, B. Doyon, T. V. Galstian, and L. J. Dubé, "Optically induced dynamics in nematic liquid crystals: The role of finite beam size," Phys. Rev. E 69, 021701 (2004).
[CrossRef]

Phys. Rev. Lett. (3)

M. Petrović, D. Jović, M. Belić, J. Schröder, Ph. Jander, and C. Denz, "Two-dimensional counterpropagating spatial solitons in photorefractive crystals," Phys. Rev. Lett. 95, 053901 (2005).
[CrossRef] [PubMed]

O. Cohen, R. Uzdin, T. Carmon, J.W. Fleischer, M. Segev, and S. Odulov, "Collisions between optical spatial solitons propagating in opposite directions," Phys. Rev. Lett. 89,133901 (2002).
[CrossRef] [PubMed]

A. Alberucci, M. Peccianti, G. Assanto, A. Dyadyusha, and M. Kaczmarek, "Two-color vector solitons in non local media," Phys. Rev. Lett. 97,153903(2006).
[CrossRef] [PubMed]

Other (3)

Ya. Izdebskaya, V. Shvedov, A. S. Desyatnikov, W. Krolikowski, G. Assanto, and Yu. S. Kivshar, "Incoherent interaction of nematicons in bias-free liquid-crystal cells," J. Eur. Opt. Soc.: Rapid Comm., in press (2010); also available at arXiv: nlin.PS/0911.4231.
[CrossRef]

M. Belić, Ph. Jander, A. Strinić, A. Desyatnikov, and C. Denz, "Self-trapped bidirectional waveguides in a saturable photorefractive medium," Phys. Rev. E 68, 025601(R) (2003).
[CrossRef]

See, e.g., the recent review: M. S. Petrović, M. R. Belić, C. Denz, and Yu. S. Kivshar, "Counterpropagating optical beams and solitons," Las. Photon. Rev., in press (2010); preprint: arXiv:0910.4700.

Supplementary Material (1)

» Media 1: MOV (459 KB)     

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Figures (4)

Fig. 1.
Fig. 1.

Experimental images of the radiation scattered from a single beam: (a) Linear diffraction of an o-beam (P = 2.5 mW) and (b) self-trapping and walk-off of the e-solitary beam (P = 14 mW). (c) Walk-off angle α vs power, as defined in (b). (d,e) Two CP beams launched in NLC cell with offset r = 40μm and the input power P = 2.5 mW.

Fig. 2.
Fig. 2.

Interaction of CP solitons for various input separations r: (A, D) r=130μm, (B, E) r=105μm, and (C, F) r=80μm; input powers in each beam are 5 mW (left panel) or 14 mW (right panel). (A, C, D) - soliton attraction; (B, F) - bound state with single common waveguide; (E) - instability.

Fig. 3.
Fig. 3.

(a) Scenarios of CP soliton interaction shown on the plane (P, r). The points A to F correspond to the regimes shown in Fig. 2. (b, c) Sketches of two distinct regimes of interaction between forward (red arrows) and backward (blue arrows) nematicons, separated by a critical value of the offset r = 105μm. In both cases, the nonlinear attraction pulls the two CP solitons towards each other, either acting in the same (b) or in the opposite (c) direction with respect to the transverse walk-off indicated by black arrows.

Fig. 4.
Fig. 4.

Breaking of a vector nematicon for r = 105μm. (a) Evolution with P. (b, Media 1) Temporal development of the CP instability for P = 14 mW.

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