OSA's Digital Library

Optics Express

Optics Express

  • Editor: Michael Duncan
  • Vol. 14, Iss. 2 — Jan. 23, 2006
  • pp: 794–799

Counterpropagating self-trapped beams in optical photonic lattices

M. Belić, D. Jović, S. Prvanović, D. Arsenović, and M. Petrović  »View Author Affiliations

Optics Express, Vol. 14, Issue 2, pp. 794-799 (2006)

View Full Text Article

Enhanced HTML    Acrobat PDF (369 KB)

Browse Journals / Lookup Meetings

Browse by Journal and Year


Lookup Conference Papers

Close Browse Journals / Lookup Meetings

Article Tools



Dynamical properties of counterpropagating (CP) mutually incoherent self-trapped beams in optically induced photonic lattices are investigated numerically. A local model with saturable Kerr-like nonlinearity is adopted for the photorefractive media, and an optically generated two-dimensional fixed photonic lattice introduced in the crystal. Different incident beam structures are considered, such as Gaussians and vortices of different topological charge. We observe spontaneous symmetry breaking of the head-on propagating Gaussian beams as the coupling strength is increased, resulting in the splitup transition of CP components. We see discrete diffraction, leading to the formation of discrete CP vector solitons. In the case of vortices, we find beam filamentation, as well as increased stability of the central vortex ring. A strong pinning of filaments to the lattice sites is noted. The angular momentum of vortices is not conserved, either along the propagation direction or in time, and, unlike the case without lattice, the rotation of filaments is not as readily observed.

© 2006 Optical Society of America

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

ToC Category:
Nonlinear Optics

M. Belić, D. Jović, S. Prvanović, D. Arsenović, and M. Petrović, "Counterpropagating self-trapped beams in optical photonic lattices," Opt. Express 14, 794-799 (2006)

Sort:  Journal  |  Reset  


  1. S. Trillo, and W. Torruellas eds., Spatial Solitons (Springer, New York, 2001).
  2. Special Issue on solitons, Ed. M. Segev, Opt. Photonics News 13, No. 2 (2002).
  3. Y. S. Kivshar, and G. P. Agrawal, Optical Solitons (Academic Press, San Diego, 2003).
  4. A. S. Desyatnikov, L. Torner, and Y. S. Kivshar, "Optical vortices and vortex solitons," Prog. Opt. 47, (2005). [CrossRef]
  5. D. Neshev, T. J. Alexander, E. A. Ostrovskaya, Y. S. Kivshar, H. Martin, I. Makasyuk, and Z. Chen, "Observation of discrete vortex solitons in optically induced photonic lattices," Phys. Rev. Lett. 92, 123903 (2004) [CrossRef] [PubMed]
  6. Z. Chen, H. Martin, A. Bezryadina, D. Neshev, Y. S. Kivshar, and D. N. Christoulides, "Experiments on Gaussian beams and vortices in optically induced photonic lattices," J. Opt. Soc. Am. B. 22, 1395 (2005). [CrossRef]
  7. F. Fedele, J. Yang, and Z. Chen, "Defect modes in one-dimensional photonic lattices ," Opt. Letters 30, 1506 (2005). [CrossRef]
  8. A. Ferrando, M. Zacares, P. Fernandez, D. Binosi, and J. A. Monsoriu, "Vortex solitons in photonic crystal fibers," Opt. Express 12, 817 (2004). <a href="http://www.opticsexpress.org/abstract.cfm?URI=OPEX-12-5-817">http://www.opticsexpress.org/abstract.cfm?URI=OPEX-12-5-817</a> [CrossRef] [PubMed]
  9. M. Haelterman, A. P. Sheppard, and A. W. Snyder, "Bimodal counterpropagating spatial solitary-waves," Opt. Commun. 103, 145 (1993). [CrossRef]
  10. 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]
  11. O. Cohen, T. Carmon, M. Segev, and S. Odoulov, "Holographic solitons," Opt. Lett. 27, 2031 (2002). [CrossRef]
  12. O. Cohen, S. Lan, and T. Carmon, "Spatial vector solitons consisting of counterpropagating fields," Opt. Lett. 27, 2013 (2002). [CrossRef]
  13. 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]
  14. M. Beli?, Ph. Jander, A. Strini?, A. Desyatnikov, and C. Denz, "Self-trapped bidirectional waveguides in a saturable photorefractive medium," Phys. Rev. E 68, 025601 (2003). [CrossRef]
  15. K. Motzek, Ph. Jander, A. Desyatnikov, M. Beli?, C. Denz, and F. Kaiser, "Dynamic counterpropagating vector solitons in saturable self-focusing media," Phys. Rev. E 68, 066611 (2003). [CrossRef]
  16. M. Beli?, M. Petrovi?, D. Jovi?, A. Strini?, D. Arsenovi?, 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 (2004). <a href="http://www.opticsexpress.org/abstract.cfm?URI=OPEX-12-4-708">http://www.opticsexpress.org/abstract.cfm?URI=OPEX-12-4-708</a> [CrossRef] [PubMed]
  17. Ph. Jander, J. Schröder, C. Denz, M. Petrovi?, and M. Beli?, "Dynamic instability of self-induced bidirectional waveguides in photorefractive media," Opt. Lett. 30, 750 (2005). [CrossRef] [PubMed]
  18. M. Petrovi?, D. Jovi?, M. Beli?, J. Schröder, Ph. Jander, and C. Denz, "Two Dimensional Counterpropagating Spatial Solitons in Photorefractive Crystals," Phys. Rev. Lett. 95, 053901 (2005). [CrossRef] [PubMed]
  19. 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]
  20. D. Jovi?, D. Arsenovi?, A. Strini?, M. Beli?, and M. Petrovi?, "Counterpropagating optical vortices in photorefractive crystals," Opt. Express 13, 4379 (2005). <a href="http://www.opticsexpress.org/abstract.cfm?URI=OPEX-13-12-4379">http://www.opticsexpress.org/abstract.cfm?URI=OPEX-13-12-4379</a> [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.


Fig. 1. Fig. 2. Fig. 3.
Fig. 4.

Supplementary Material

» Media 1: MOV (767 KB)     
» Media 2: MOV (744 KB)     
» Media 3: MOV (601 KB)     
» Media 4: MOV (1088 KB)     
» Media 5: MOV (754 KB)     
» Media 6: MOV (603 KB)     
» Media 7: MOV (1603 KB)     
» Media 8: MOV (441 KB)     
» Media 9: MOV (497 KB)     
» Media 10: MOV (628 KB)     

« Previous Article  |  Next Article »

OSA is a member of CrossRef.

CrossCheck Deposited