Abstract

We study numerically the counterpropagating vector solitons in SBN:60 photorefractive crystals. A simple theory is provided for explaining the symmetry-breaking transverse instability of these solitons. Phase diagram is produced that depicts the transition from stable counterpropagating solitons to bidirectional waveguides to unstable optical structures. Numerical simulations are performed that predict novel dynamical beam structures, such as the standing-wave and rotating multipole vector solitonic clusters. For larger coupling strengths and/or thicker crystals the beams form unstable self-trapped optical structures that have no counterparts in the copropagating geometry.

© 2004 Optical Society of America

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  1. For an overview see the Special Issue on solitons, Ed. M. Segev, Opt. Phot. News 13, No. 2 (2002).
  2. Y. S. Kivshar and D. E. Pelinovsky, "Self-focusing and transverse instabilities of solitary waves," Phys. Rep. 331, 117-195 (2000).
    [CrossRef]
  3. O. Cohen et al., "Spatial vector solitons consisting of counterpropagating fields," Opt. Lett. 27, 2013 (2002).
  4. M. Beli�? et al., "Self-trapped bidirectional waveguides in a saturable photorefractive medium," Phys. Rev. A 68 025601, (2003).
    [CrossRef]
  5. S. Trillo and W. Torruellas eds., Spatial Solitons (Springer, New York, 2001).
  6. M. Haelterman, A. P. Sheppard, and A. W. Snyder, "Bimodal counterpropagating spatial solitary-waves," Opt. Commun. 103, 145 (1993).
    [CrossRef]
  7. O. Cohen et al., "Collisions between optical spatial solitons propagating in opposite directions," Phys. Rev. Lett. 89, 133901 (2002); "Holographic solitons," Opt. Lett. 27, 2031 (2002).
    [CrossRef]
  8. L. Solymar, D. J. Webb, and A. Grunett-Jepsen, The physics and applications of photorefractive materials, (Clarendon Press, Oxford, 1996).
  9. M. Beli�? et al., "Anisotropic nonlocal modelling of counterpropagating photorefractive solitons," Opt. Lett. 29 xxxx (2004).
  10. M. Beli�?, A. Stepken, and F. Kaiser, "Spatial screening solitons as particles," Phys. Rev. Lett. 84, 83 (2000).
    [CrossRef]
  11. P. R. Holland, The quantum theory of motion, (University Press, Cambridge, 1995).
  12. O. Sandfuchs, F. Kaiser, and M. R. Beli�?, "Self-organization and Fourier selection of optical patterns in a photorefractive feedback system," Phys. Rev. A 64, 063809 (2001).
    [CrossRef]
  13. M. Beli�?, J. Leonardy, D. Timotijevi�?, and F. Kaiser, "Spatio-temporal effects in double phase conjugation," J. Opt. Soc. Am. B12, 1602 (1995).
  14. J. J. Garcia-Ripoll, et al., "Dipole-mode vector solitons," Phys. Rev. Lett. 85, 83 (2000); W. Krolikowski et al., "Observation of dipole-mode vector solitons," Phys. Rev.
  15. K. Motzek et al., "Dynamic counterpropagating vector solitons in self-focusing media," Phys. Rev. E 68 06xxxx (2003).
  16. M. R. Beli�? et al., "Isotropic vs. anisotropic modeling of photorefractive solitons," Phys. Rev. A 65, 066609 (2002).
  17. G. F. Calvo et al., "Two-dimensional soliton-induced space charge field in photorefractive crystals," Opt. Commun. 227, 193 (2003).
    [CrossRef]
  18. T. Carmon et al., "Rotating propeller solitons," Phys. Rev. Lett. 87, 143901 (2001).
    [CrossRef]

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

Opt. Commun. (2)

G. F. Calvo et al., "Two-dimensional soliton-induced space charge field in photorefractive crystals," Opt. Commun. 227, 193 (2003).
[CrossRef]

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

Opt. Lett. (2)

M. Beli�? et al., "Anisotropic nonlocal modelling of counterpropagating photorefractive solitons," Opt. Lett. 29 xxxx (2004).

O. Cohen et al., "Spatial vector solitons consisting of counterpropagating fields," Opt. Lett. 27, 2013 (2002).

Opt. Phot. News (1)

For an overview see the Special Issue on solitons, Ed. M. Segev, Opt. Phot. News 13, No. 2 (2002).

Phys. Rep. (1)

Y. S. Kivshar and D. E. Pelinovsky, "Self-focusing and transverse instabilities of solitary waves," Phys. Rep. 331, 117-195 (2000).
[CrossRef]

Phys. Rev. A (3)

M. R. Beli�? et al., "Isotropic vs. anisotropic modeling of photorefractive solitons," Phys. Rev. A 65, 066609 (2002).

O. Sandfuchs, F. Kaiser, and M. R. Beli�?, "Self-organization and Fourier selection of optical patterns in a photorefractive feedback system," Phys. Rev. A 64, 063809 (2001).
[CrossRef]

M. Beli�? et al., "Self-trapped bidirectional waveguides in a saturable photorefractive medium," Phys. Rev. A 68 025601, (2003).
[CrossRef]

Phys. Rev. E (1)

K. Motzek et al., "Dynamic counterpropagating vector solitons in self-focusing media," Phys. Rev. E 68 06xxxx (2003).

Phys. Rev. Lett (1)

O. Cohen et al., "Collisions between optical spatial solitons propagating in opposite directions," Phys. Rev. Lett. 89, 133901 (2002); "Holographic solitons," Opt. Lett. 27, 2031 (2002).
[CrossRef]

Phys. Rev. Lett. (3)

J. J. Garcia-Ripoll, et al., "Dipole-mode vector solitons," Phys. Rev. Lett. 85, 83 (2000); W. Krolikowski et al., "Observation of dipole-mode vector solitons," Phys. Rev.

M. Beli�?, A. Stepken, and F. Kaiser, "Spatial screening solitons as particles," Phys. Rev. Lett. 84, 83 (2000).
[CrossRef]

T. Carmon et al., "Rotating propeller solitons," Phys. Rev. Lett. 87, 143901 (2001).
[CrossRef]

Other (3)

P. R. Holland, The quantum theory of motion, (University Press, Cambridge, 1995).

L. Solymar, D. J. Webb, and A. Grunett-Jepsen, The physics and applications of photorefractive materials, (Clarendon Press, Oxford, 1996).

S. Trillo and W. Torruellas eds., Spatial Solitons (Springer, New York, 2001).

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