OSA's Digital Library

Optics Express

Optics Express

  • Editor: Michael Duncan
  • Vol. 12, Iss. 4 — Feb. 23, 2004
  • pp: 708–716

Transverse modulational instabilities of counterpropagating solitons in photorefractive crystals

M. Belić, M. Petrović, D. Jović, A. Strinić, D. Arsenović, K. Motzek, F. Kaiser, Ph. Jander, C. Denz, M. Tlidi, and Paul Mandel  »View Author Affiliations

Optics Express, Vol. 12, Issue 4, pp. 708-716 (2004)

View Full Text Article

Enhanced HTML    Acrobat PDF (997 KB)

Browse Journals / Lookup Meetings

Browse by Journal and Year


Lookup Conference Papers

Close Browse Journals / Lookup Meetings

Article Tools



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

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

ToC Category:
Research Papers

Original Manuscript: January 20, 2004
Revised Manuscript: February 17, 2004
Published: February 23, 2004

M. Beli�?, M. Petrovi�?, D. Jovi�?, Aleksandra Strinic, D. Arsenovi�?, K. Motzek, F. Kaiser, Ph. Jander, C. Denz, M. Tlidi, and Paul Mandel, "Transverse modulational instabilities of counterpropagating solitons in photorefractive crystals," Opt. Express 12, 708-716 (2004)

Sort:  Journal  |  Reset  


  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). [CrossRef]
  4. M. Beli�? et al., "Self-trapped bidirectional waveguides in a saturable photorefractive medium," Phys. Rev. A 68 025601, (2003).
  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] [PubMed]
  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. [CrossRef]
  15. K. Motzek et al., "Dynamic counterpropagating vector solitons in self-focusing media," Phys. Rev. E 68 06xxxx (2003). [CrossRef]
  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] [PubMed]

Cited By

Alert me when this paper is cited

OSA is able to provide readers links to articles that cite this paper by participating in CrossRef's Cited-By Linking service. CrossRef includes content from more than 3000 publishers and societies. In addition to listing OSA journal articles that cite this paper, citing articles from other participating publishers will also be listed.

Supplementary Material

» Media 1: MOV (726 KB)     
» Media 2: MOV (971 KB)     
» Media 3: MOV (1263 KB)     
» Media 4: MOV (1263 KB)     
» Media 5: MOV (1307 KB)     
» Media 6: MOV (1298 KB)     
» Media 7: MOV (1390 KB)     
» Media 8: MOV (1358 KB)     
» Media 9: MOV (1306 KB)     
» Media 10: MOV (1322 KB)     
» Media 11: MOV (1840 KB)     
» Media 12: MOV (2050 KB)     
» Media 13: MOV (1444 KB)     
» Media 14: MOV (1286 KB)     

« Previous Article  |  Next Article »

OSA is a member of CrossRef.

CrossCheck Deposited