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Optics Express

Optics Express

  • Editor: C. Martijn de Sterke
  • Vol. 15, Iss. 16 — Aug. 6, 2007
  • pp: 10318–10323

Collapse arrest and self-guiding of femtosecond pulses

Lubomir M. Kovachev  »View Author Affiliations


Optics Express, Vol. 15, Issue 16, pp. 10318-10323 (2007)
http://dx.doi.org/10.1364/OE.15.010318


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Abstract

Nonlinear evolution of femtosecond pulses in media with weak dispersion and power slightly above the critical for self-focusing in the framework of generalized non-paraxial amplitude equation is analyzed. It is found that this nonlinear non-paraxial regime strongly depends from the initial form of the pulses. In case of long pulse (small transverse and large longitudinal size), the dynamics is closer to nonlinear paraxial dynamics of a laser beam, and the difference consists in large spectral and longitudinal spatial modulation of the long pulse. The non-paraxial terms play an important role on the evolution of light bullets and light disks. In regime of light bullets (relatively equal transverse and longitudinal size) weak self-focusing without pedestal and collapse arrest is obtained. Non-collapsed regime of light disks (pulses with small longitudinal and large transverse size) is also observed. Our results are in good agreement with the recent experiments on nonlinear propagation of femtosecond pulses. For first time is demonstrated that such non-paraxial model can explain effects as spectral broadening, collapse arrest and nonlinear wave guide behavior.

© 2007 Optical Society of America

OCIS Codes
(010.1300) Atmospheric and oceanic optics : Atmospheric propagation
(190.5530) Nonlinear optics : Pulse propagation and temporal solitons

ToC Category:
Nonlinear Optics

History
Original Manuscript: July 16, 2007
Revised Manuscript: July 26, 2007
Manuscript Accepted: July 26, 2007
Published: July 31, 2007

Citation
Lubomir M. Kovachev, "Collapse arrest and self-guiding of femtosecond pulses," Opt. Express 15, 10318-10323 (2007)
http://www.opticsinfobase.org/oe/abstract.cfm?URI=oe-15-16-10318


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References

  1. G. Méchian, A. Couarion, Y. -B. Andre, C. D’Amico, M. Franco, B. Prade, S. Tzortzakis, A. Mysyrowicz, A. Couarion, R. Sauerbrey, "Long range self-channeling of infrared laser pulse in air: a new propagation regime without ionization," Appl. Phys. B 79, 379 (2004). [CrossRef]
  2. N. N. Akhmediev, A. Ankiewicz and J. M. Soto-Crespo, "Does the nonlinear Schredinger Equation describe propagation in nonlinear waveguides?," Opt. Lett. 18, 411 (1993). [CrossRef] [PubMed]
  3. G. Fibich and G. C. Papanicolaou. "Self-focusing in the presence of small time dispersion and nonparaxiality," Opt. Lett. 22, 1379 (1997). [CrossRef]
  4. L. M. Kovachev, L. I. Pavlov, L. M. Ivanov and D. I. Dakova, "Optical filaments and optical bullets in dispersive nonlinear media," J. Russ. Laser Res. 27, 185 (2006). [CrossRef]
  5. D. N. Christodoulides and R. I. Joseph, "Exact radial dependence of the field in a nonlinear dispersive dielectric fiber: bright pulse solutions," Opt. Lett. 9, 229 (1984). [CrossRef] [PubMed]
  6. Th. Brabec and F. Krausz, "Nonlinear Optical Pulse Propagation in Single-Cycle Regime," Phys. Rev. Lett. 78, 3282 (1997). [CrossRef]
  7. N. N. Akhmediev and A. Ankiewicz, Solitons: nonlinear pulses and beams (Charmanand Hall, 1997).
  8. E. A. Golovchenko, E. M. Dianov, A. M. Prokhorrov, A. N. Pilipetsky, and V. N. Serkin, "Self-action and compression of femtosecond pulses in nonlinear dispersive media," JETP Lett. 45, 91 (1987).
  9. K. D. Moll, A. L. Gaeta and G. Fibich, "Self-similar optical wave collapse: observation of the Townes profile," Phys. Rev. Lett. 90, 203902 (2003). [CrossRef] [PubMed]
  10. S. A. Ponomarenko and G. P. Agrawal, "Linear optical bullets," Opt. Commun. 261, 1-4 (2006). [CrossRef]

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