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Journal of the Optical Society of America B

Journal of the Optical Society of America B


  • Editor: Grover Swartzlander
  • Vol. 30, Iss. 3 — Mar. 1, 2013
  • pp: 603–609

On the stabilizing effect of nonlinear energy losses in light bullet propagation

Miguel A. Porras and Francisco Redondo  »View Author Affiliations

JOSA B, Vol. 30, Issue 3, pp. 603-609 (2013)

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We study the stability of three-dimensional, propagation-invariant wave packets in self-focusing media with anomalous dispersion at intensities where nonlinear absorption is significant. For light bullets with spherical symmetry in the two transversal dimensions and time, we show that nonlinear losses (NLLs) act as a strongly stabilizing mechanism for light bullet propagation, and, in practical settings, that longer-lived light bullet propagation requires, paradoxically, higher NLLs during the propagation, at the expense of higher input energy.

© 2013 Optical Society of America

OCIS Codes
(190.3100) Nonlinear optics : Instabilities and chaos
(190.5940) Nonlinear optics : Self-action effects
(260.5950) Physical optics : Self-focusing

ToC Category:
Nonlinear Optics

Original Manuscript: November 8, 2012
Manuscript Accepted: January 10, 2013
Published: February 15, 2013

Miguel A. Porras and Francisco Redondo, "On the stabilizing effect of nonlinear energy losses in light bullet propagation," J. Opt. Soc. Am. B 30, 603-609 (2013)

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  1. 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]
  2. 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]
  3. A. Alexandrescu and V. M. Pérez-García, “Matter-wave solitons supported by dissipation,” Phys. Rev. A 73, 053610 (2006). [CrossRef]
  4. W. Liu, J. F. Gravel, F. Théberge, A. Becker, and S. L. Chin, “Background reservoir: its crucial role for long-distance propagation of femtosecond laser pulses in air,” Appl. Phys. B 80, 857–860 (2005). [CrossRef]
  5. M. A. Porras, “Nonlinear light bullets in purely lossy, self-focusing media,” Appl. Phys. B 103, 591–596 (2011). [CrossRef]
  6. P. Polesana, A. Couairon, D. Faccio, A. Parola, M. A. Porras, A. Dubietis, A. Piskarskas, and P. Di Trapani, “Observation of conical waves in focusing, dispersive, and dissipative Kerr media,” Phys. Rev. Lett. 99, 223902 (2007). [CrossRef]
  7. Y. Silberberg, “Collapse of optical pulses,” Opt. Lett. 15, 1282–1284 (1990). [CrossRef]
  8. S. Malaguti, G. Bellanca, and S. Trillo, “Two-dimensional envelope localized waves in the anomalous dispersion regime,” Opt. Lett. 33, 1117–1119 (2008). [CrossRef]
  9. M. A. Porras, “A dissipative attractor in the spatiotemporal collapse of ultrashort light pulses,” Opt. Express 18, 7376–7383 (2010). [CrossRef]
  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. D. Moll and A. L. Gaeta, “Role of dispersion in multiple-collapse dynamics,” Opt. Lett. 29, 995–997 (2004). [CrossRef]
  12. L. W. Liou, X. D. Cao, C. McKinstrie, and G. P. Agrawal, “Spatio-temporal instabilities in dispersive nonlinear media,” Phys. Rev. A 46, 4202–4208 (1992). [CrossRef]
  13. V. E. Zakharov and A. M. Rubenchik, “Instability of waveguides and solitons in nonlinear media,” Sov. Phys. JETP 38, 494–500 (1974).
  14. Y. R. Shen, The Principles of Nonlinear Optics (Wiley-Interscience, 1984).
  15. M. A. Porras, A. Parola, D. Faccio, A. Couairon, and P. Di Trapani, “Light-filament dynamics and the spatiotemporal instability of the Townes profile,” Phys. Rev. A 76, 011803(R) (2007). [CrossRef]
  16. A. De Rossi, C. Conti, and S. Trillo, “Stability, multistability, and wobbling of optical gap solitons,” Phys. Rev. Lett. 81, 85–88 (1998). [CrossRef]
  17. I. V. Barashenkov, D. E. Pelinovsky, and E. V. Zemlyanaya, “Vibrations and oscillatory instabilities of gap solitons,” Phys. Rev. Lett. 80, 5117–5120 (1998). [CrossRef]

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