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Journal of the Optical Society of America B

Journal of the Optical Society of America B

| OPTICAL PHYSICS

  • Vol. 19, Iss. 11 — Nov. 1, 2002
  • pp: 2682–2691

Multicolor soliton clusters

Yaroslav V. Kartashov, Gabriel Molina-Terriza, and Lluis Torner  »View Author Affiliations


JOSA B, Vol. 19, Issue 11, pp. 2682-2691 (2002)
http://dx.doi.org/10.1364/JOSAB.19.002682


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Abstract

We present a comprehensive theoretical investigation of the formation and propagation of multicolor ringlike soliton clusters in quadratic nonlinear materials under conditions for type I second-harmonic generation. We show the several existing propagation regimes for the soliton clusters, which include fusion, expansion, and quasi-stationary propagation. The physical mechanism that leads to each evolution is elucidated and discussed. In the case of purely expanding clusters, accurate estimates of the expansion rate are obtained with a Hamiltonian approach. The experimental formation of the different soliton clusters by induced breakup techniques is discussed in detail, and the practical limitations of the concept of quasi-stationary clusters are highlighted.

© 2002 Optical Society of America

OCIS Codes
(190.4360) Nonlinear optics : Nonlinear optics, devices
(190.4410) Nonlinear optics : Nonlinear optics, parametric processes
(190.5530) Nonlinear optics : Pulse propagation and temporal solitons
(190.5940) Nonlinear optics : Self-action effects

Citation
Yaroslav V. Kartashov, Gabriel Molina-Terriza, and Lluis Torner, "Multicolor soliton clusters," J. Opt. Soc. Am. B 19, 2682-2691 (2002)
http://www.opticsinfobase.org/josab/abstract.cfm?URI=josab-19-11-2682


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References

  1. G. I. Stegeman, D. J. Hagan, and L. Torner, “χ(2) cascading phenomena and their applications to signal processing, mode-locking, pulse compression and solitons,” Opt. Quantum Electron. 28, 1691–1740 (2996). [CrossRef]
  2. L. Torner and A. P. Sukhorukov, “Quadratic solitons,” Opt. Photon. News 13(2), 42–47 (2002). [CrossRef]
  3. A. V. Buryak, P. Di Trapani, D. V. Skryabin, and S. Trillo, “Optical solitons due to quadratic nonlinearities,” Phys. Rep. (to be published).
  4. A. Bramati, W. Chinaglia, S. Minardi, and P. Di Trapani, “Reconstruction of blurred images by controlled formation of spatial solitons,” Opt. Lett. 26, 1409–1411 (2001). [CrossRef]
  5. M. Soljacic, S. Sears, and M. Segev, “Self-trapping of necklace beams in self-focusing Kerr media,” Phys. Rev. Lett. 81, 4851–4854 (1998). [CrossRef]
  6. M. Soljacic and M. Segev, “Self-trapping of necklace-ring beams in self-focusing Kerr media,” Phys. Rev. E 62, 2810–2820 (2000). [CrossRef]
  7. M. Soljacic and M. Segev, “Integer and fractional angular momentum borne on self-trapped necklace-ring beams,” Phys. Rev. Lett. 86, 420–423 (2001). [CrossRef] [PubMed]
  8. A. S. Desyatnikov and Yu. S. Kivshar, “Necklace-ring vector solitons,” Phys. Rev. Lett. 87, 033901 (2001). [CrossRef] [PubMed]
  9. A. S. Desyatnikov and Yu. S. Kivshar, “Rotating optical soliton clusters,” Phys. Rev. Lett. 88, 053901 (2002). [CrossRef] [PubMed]
  10. L. Torner, J. P. Torres, D. V. Petrov, and J. M. Soto-Crespo, “From topological charge information to sets of solitons in quadratic non-linear media,” Opt. Quantum Electron. 30, 809–827 (1998). [CrossRef]
  11. L. Torner and D. V. Petrov, “Azimuthal instabilities and self-breaking of beams into sets of solitons in bulk second-harmonic generation,” Electron. Lett. 33, 608–609 (1997). [CrossRef]
  12. L. Torner and D. V. Petrov, “Splitting of light beams with spiral phase dislocations into solitons in bulk quadratic nonlinear media,” J. Opt. Soc. Am. B 14, 2017–2023 (1997). [CrossRef]
  13. W. J. Firth and D. V. Skryabin, “Optical solitons carrying orbital angular momentum,” Phys. Rev. Lett. 79, 2450–2453 (1997). [CrossRef]
  14. D. V. Skryabin and W. J. Firth, “Dynamics of self-trapped beams with phase dislocation in saturable Kerr and quadratic nonlinear media,” Phys. Rev. E 58, 3916–3930 (1998). [CrossRef]
  15. J. P. Torres, J. M. Soto-Crespo, L. Torner, and D. V. Petrov, “Solitary-wave vortices in quadratic nonlinear media,” J. Opt. Soc. Am. B 15, 625–627 (1998). [CrossRef]
  16. D. V. Petrov, L. Torner, J. Martorell, R. Vilaseca, J. P. Torres, and C. Cojocaru, “Observation of azimuthal modulational instability and formation of patterns of optical solitons in a quadratic nonlinear crystal,” Opt. Lett. 23, 1444–1446 (1998). [CrossRef]
  17. S. Minardi, G. Molina-Terriza, P. Di Trapani, J. P. Torres, and L. Torner, “Soliton algebra by vortex-beam splitting,” Opt. Lett. 26, 1004–1006 (2001). [CrossRef]
  18. W. E. Torruellas, Z. Wang, D. Hagan, E. Van Stryland, G. I. Stegeman, L. Torner, and C. R. Menyuk, “Observation of two-dimensional spatial solitary waves in a quadratic medium,” Phys. Rev. Lett. 74, 5036–5039 (1995). [CrossRef] [PubMed]
  19. A. V. Buryak, Yu. S. Kivshar, and V. V. Steblina, “Self-trapping of light beams and parametric solitons in diffractive quadratic media,” Phys. Rev. A 52, 1670–1674 (1995). [CrossRef] [PubMed]
  20. L. Torner, D. Mihalache, D. Mazilu, E. M. Wright, W. E. Torruellas, and G. I. Stegeman, “Stationary trapping of light beams in bulk second-order nonlinear media,” Opt. Commun. 121, 149–155 (1995). [CrossRef]
  21. D.-M. Baboiu, G. I. Stegeman, and L. Torner, “Interaction of one-dimensional bright solitary waves in quadratic media,” Opt. Lett. 20, 2282–2284 (1995). [CrossRef] [PubMed]
  22. C. Etrich, U. Peschel, F. Lederer, and B. Malomed, “Collision of solitary waves in media with a second-order nonlinearity,” Phys. Rev. A 52, R3444–3447 (1995). [CrossRef] [PubMed]
  23. G. Leo, G. Assanto, and W. E. Torruellas, “Intensity-controlled interactions between vectorial spatial solitary waves in quadratic nonlinear media,” Opt. Lett. 22, 7–9 (1997). [CrossRef] [PubMed]
  24. D.-M. Baboiu and G. I. Stegeman, “Solitary-wave interactions in quadratic media near type I phase matching conditions,” J. Opt. Soc. Am. B 14, 3143–3150 (1997). [CrossRef]
  25. G. Leo and G. Assanto, “Collisional interaction of vectorial spatial solitary waves in type II frequency-doubling media,” J. Opt. Soc. Am. B 14, 3151–3161 (1997). [CrossRef]
  26. R. Schiek, Y. Baek, G. I. Stegeman, and W. Sohler, “Interactions between one-dimensional quadratic soliton-like beams,” Opt. Quantum Electron. 30, 861–879 (1998). [CrossRef]
  27. A. Barthelemy, B. Bourliaguet, V. Kermene, B. Constantini, C. De Angelis, D. Modotto, and G. Assanto, “Interaction of type II vectorial spatial solitary waves in materials with quadratic non-linearity,” Opt. Quantum Electron. 30, 923–935 (1998). [CrossRef]
  28. V. V. Steblina, Yu. S. Kivshar, and A. V. Buryak, “Scattering and spiraling of solitons in a bulk quadratic medium,” Opt. Lett. 23, 156–158 (1998). [CrossRef]
  29. B. Constantini, C. De Angelis, A. Barthelemy, B. Bourliaguet, and V. Kermene, “Collisions between type II two-dimensional quadratic solitons,” Opt. Lett. 23, 424–426 (1998). [CrossRef]
  30. A. V. Buryak and V. V. Steblina, “Soliton collisions in bulk quadratic media: comprehensive analytical and numerical study,” J. Opt. Soc. Am. B 16, 245–255 (1999). [CrossRef]

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