OSA's Digital Library

Optics Express

Optics Express

  • Editor: C. Martijn de Sterke
  • Vol. 18, Iss. 7 — Mar. 29, 2010
  • pp: 7376–7383

A dissipative attractor in the spatiotemporal collapse of ultrashort light pulses

Miguel A. Porras  »View Author Affiliations

Optics Express, Vol. 18, Issue 7, pp. 7376-7383 (2010)

View Full Text Article

Enhanced HTML    Acrobat PDF (660 KB)

Browse Journals / Lookup Meetings

Browse by Journal and Year


Lookup Conference Papers

Close Browse Journals / Lookup Meetings

Article Tools



Spatiotemporal self-focusing in nonlinear lossy media pushes ultrashort pulses towards a universal, non-solitary and non-conical light-bullet wave state defined by the medium solely, and characterized by maximum energy losses. Its stationary propagation relies on a balance between nonlinear losses and the refuelling effect of self-focusing. No balancing gain is required for stationarity. These purely lossy dissipative light-bullets can explain many aspects of the filamentary dynamics in nonlinear media with anomalous dispersion.

© 2010 Optical Society of America

OCIS Codes
(190.4180) Nonlinear optics : Multiphoton processes
(190.5940) Nonlinear optics : Self-action effects
(190.7110) Nonlinear optics : Ultrafast nonlinear optics
(260.5950) Physical optics : Self-focusing

ToC Category:
Nonlinear Optics

Original Manuscript: February 11, 2010
Revised Manuscript: March 18, 2010
Manuscript Accepted: March 18, 2010
Published: March 24, 2010

Miguel A. Porras, "A dissipative attractor in the spatiotemporal collapse of ultrashort light pulses," Opt. Express 18, 7376-7383 (2010)

Sort:  Author  |  Year  |  Journal  |  Reset  


  1. F. Wise and P. Di Trapani, "The hunt for light bullets—Spatiotemporal solitons," Opt. Photon. News, 29-32 (2002).
  2. H. S. Eisenberg, R. Morandotti, and Y. Silberberg, "Kerr spatiotemporal self-Focusing in a planar glass waveguide," Phys. Rev. Lett. 82,043902 (2001). [CrossRef]
  3. R. McLeod, K. Wagner, and S. Blair, "(3+1)-dimensional soliton dragging logic," Phys. Rev. A 52,3254-3278 (1995). [CrossRef] [PubMed]
  4. Y. Silberberg, "Collapse of optical pulses," Opt. Lett. 15,1282-1284 (1990). [CrossRef] [PubMed]
  5. N. Akhmediev and J. M. Soto Crespo, "Generation of a train of three-dimensional optical solitons in a self focusing medium," Phys. Rev. A 47,1358-1364 (1993). [CrossRef] [PubMed]
  6. G. Fibich and B. Ilan, "Optical light bullets in a pure Kerr medium," Opt. Lett. 29,887-889 (2004). [CrossRef] [PubMed]
  7. A. Braun, G. Korn, X. Liu, D. Du, J. Squier, and G. Mourou, "Self-channeling of high-peak-power femtosecond laser pulses in air," Opt. Lett. 20,73-75 (1995). [CrossRef] [PubMed]
  8. S. Henz and J. Herrmann, "Two-dimensional spatial optical solitons in bulk Kerr media stabilized by self-induced multiphoton ionization: Variational approach," Phys. Rev. E 53,4092-4097 (1996). [CrossRef]
  9. D. Moll and A. L. Gaeta, "Role of dispersion in multiple-collapse dynamics," Opt. Lett. 29, 995-997 (2004). [CrossRef] [PubMed]
  10. L. Bergé and S. Skupin, "Self-channeling of ultrashort laser pulses in materials with anomalous dispersion," Phys. Rev. E 71,065601 (2005). [CrossRef]
  11. P. Di Trapani, G. Valiulis, A. Piskarskas, O. Jedrkiewicz, J. Trull, C. Conti, and S. Trillo, "Spontaneously generated X-shaped light bullets," Phys. Rev. Lett. 91,093904 (2003). [CrossRef] [PubMed]
  12. M. Kolesik, E. M. Wright, and J. V. Moloney, "Dynamic nonlinear X waves for femtosecond pulse propagation in water," Phys. Rev. Lett. 92,253901 (2004). [CrossRef] [PubMed]
  13. A. Dubietis, E. Gaizauskas, G. Tamosauskas, and P. Di Trapani, "Light Filaments without Self-Channeling," Phys. Rev. Lett. 92,253903 (2004). [CrossRef] [PubMed]
  14. M. Kolesik and J. V. Moloney, "Self-healing femtosecond light filaments," Opt. Lett. 29,590-592 (2004). [CrossRef] [PubMed]
  15. M. A. Porras, A. Parola, D. Faccio, A. Dubietis, and P. Di Trapani, "Nonlinear unbalanced Bessel beams: Stationary conical waves supported by nonlinear losses," Phys. Rev. Lett. 93,153902 (2004). [CrossRef] [PubMed]
  16. M. A. Porras, A. Parola, and P. Di Trapani, "Nonlinear unbalanced O waves: nonsolitary, conical light bullets in nonlinear dissipative media," J. Opt. Soc. Am. B 22,1406-1413 (2005). [CrossRef]
  17. M. A. Porras and A. Parola, "Nonlinear unbalanced Bessel beams in the collapse of Gaussian beams arrested by nonlinear losses," Opt. Lett. 33,1738-1740 (2008). [CrossRef] [PubMed]
  18. D. Faccio, M. Clerici, A. Averchi, O. Jedrkiewicz, S. Tzortzakis, D. Papazoglou, F. Bragheri, L. Tartara, A. Trita, S. Henin, I. Cristiani, A. Couairon, and P. Di Trapani, "Kerr-induced spontaneous Bessel beam formation in the regime of strong two-photon absorption," Opt. Express 16,8213-8218 (2008). [CrossRef] [PubMed]
  19. N. Akhmediev and A. Ankiewicz (Eds.), Dissipative solitons, Lecture Notes in Physics 661 (Springer, 2005). [CrossRef]
  20. P. Grelu, J. M. Soto-Crespo, and N. Akhmediev, "Light bullets and dynamic pattern formation in nonlinear dissipative systems," Opt. Express 13,9352-9360 (2005). [CrossRef] [PubMed]
  21. J. M. Soto-Crespo, P. Grelu, and N. Akhmediev, "Optical bullets and "rockets" in nonlinear dissipative systems and their transformations and interactions," Opt. Express 14,4013-4025 (2006). [CrossRef] [PubMed]
  22. W. H. Renninger, A. Chong, and F. W. Wise, "Dissipative solitons in normal-dispersion fiber lasers," Phys. Rev. A 77,023814 (2008). [CrossRef]
  23. Y. Tanguy, T. Ackermann, W. J. Firth, and R. Jäger, "Realization of a semiconductor-based cavity soliton laser," Phys. Rev. Lett. 100,013907 (2008). [CrossRef] [PubMed]
  24. This peak power is slightly higher than the power Pcr = 2λ20/[4πn(ω0)n2] for spatial self-focusing.

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 (1189 KB)     

« Previous Article  |  Next Article »

OSA is a member of CrossRef.

CrossCheck Deposited