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Optics Express

Optics Express

  • Editor: Michael Duncan
  • Vol. 13, Iss. 26 — Dec. 26, 2005
  • pp: 10717–10728

Dynamics of counterpropagating multipole vector solitons

D. Jović, M. Petrović, M. Belić, J. Schröeder, Ph. Jander, and C. Denz  »View Author Affiliations

Optics Express, Vol. 13, Issue 26, pp. 10717-10728 (2005)

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Dynamical behavior of counterpropagating (CP) mutually incoherent vector solitons in a 5 × 5 × 23 mm SBN:60Ce photorefractive crystal is investigated. Experimental study is carried out, displaying rich dynamics of three-dimensional CP solitons and higher-order multipole structures, and a theory formulated that is capable of capturing such dynamics. We find that our numerical simulations agree well with the experimental findings for various CP beam structures. Linear stability analysis is also performed, predicting a threshold for the modulational instability of CP beams, and an appropriate control parameter is identified. We attempt at utilizing these results to CP solitons, but find only qualitative agreement with the numerical simulations and experimental findings. However, when broader hyper-Gaussian CP beams are used in simulations, an improved agreement with the theory is obtained.

© 2005 Optical Society of America

OCIS Codes
(190.5330) Nonlinear optics : Photorefractive optics
(190.5530) Nonlinear optics : Pulse propagation and temporal solitons

ToC Category:
Research Papers

D. Jović, M. Petrović, M. Belić, J. Schröeder, Ph. Jander, and C. Denz, "Dynamics of counterpropagating multipole vector solitons," Opt. Express 13, 10717-10728 (2005)

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  1. S. Trillo, and W. Torruellas eds., Spatial Solitons (Springer, New York, 2001).
  2. Special Issue on solitons, Ed. M. Segev, Opt. Phot. News 13, No. 2 (2002).
  3. M. Haelterman, A. P. Sheppard, and A. W. Snyder, "Bimodal counterpropagating spatial solitary-waves," Opt. Commun. 103, 145 (1993). [CrossRef]
  4. 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]
  5. O. Cohen, T. Carmon, M. Segev, S. Odoulov, "Holographic solitons," Opt. Lett. 27, 2031 (2002). [CrossRef]
  6. O. Cohen, S. Lan, T. Carmon, "Spatial vector solitons consisting of counterpropagating fields," Opt. Lett. 27, 2013 (2002). [CrossRef]
  7. C. Rotschild, O. Cohen, O.Mandela, T. Carmon, and M. Segev, "Interactions between spatial screening solitons propagating in opposite directions," J. Opt. Soc. Am. B 21, 1354 (2004). [CrossRef]
  8. 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 (2003). [CrossRef]
  9. K. Motzek, Ph. Jander, A. Desyatnikov, M. Belić, C. Denz, and F. Kaiser, "Dynamic counterpropagating vector solitons in photorefractive media," Phys. Rev. E 68, 066611 (2003). [CrossRef]
  10. M. Belić, M. Petrović, D. Jović, A. Strinić, 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 [CrossRef] [PubMed]
  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 (2005). [CrossRef] [PubMed]
  12. 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]
  13. K. Motzek, M. Belić, T. Richter, C. Denz, A. Desyatnikov, Ph. Jander, and F. Kaiser, "Counterpropagating beams in biased photorefractive crystals: anisotropic theory," Phys. Rev. E 71, 016610 (2005). [CrossRef]
  14. J. Schröder, Ph. Jander, C. Denz, T. Richter, K. Motzek, and F. Kaiser, "Counterpropagating dipole-mode vector soliton," Opt. Lett. 30, 1042 (2005). [CrossRef] [PubMed]
  15. C. Denz, M. Schwab, and C. Weilnau, Transverse pattern formation in photorefractive optics (Springer, Berlin, 2003). [CrossRef]
  16. M. Schwab, C. Denz, and M. Saffman, "Transverse modulational instability in counterpropagating two-wave mixing with frequency-detuned pump beams," J. Opt. Soc. Am. B 18, 628 (2001). [CrossRef]
  17. J. B. Geddes, R. A. Indik, J. V. Moloney, and W. J. Firth, "Hexagons and squares in a passive nonlinear optical system," Phys. Rev. A 50, 3471 (1994). [CrossRef] [PubMed]
  18. O. Sandfuchs, F. Kaiser, and M. Belić, "Self-organization and Fourier selection of optical patterns in a nonlinear photorefractive feedback system," Phys. Rev. A 64, 063809 (2001). [CrossRef]

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