Abstract

Self-guided propagation of femtosecond laser pulses is studied for a converging-beam configuration. Channeling of the pulse energy through various gases is observed over distances well beyond the lens focal point, a fact that cannot be explained by the moving-focus model. The results are in good agreement with three-dimensional numerical simulations.

© 1998 Optical Society of America

Full Article  |  PDF Article

References

  • View by:
  • |
  • |
  • |

  1. A. Braun, G. Korn, X. Liu, D. Du, J. Squier, and G. Mourou, Opt. Lett. 20, 73 (1995).
    [CrossRef] [PubMed]
  2. E. T. J. Nibbering, P. F. Curley, G. Grillon, B. S. Prade, M. A. Franco, F. Salin, and A. Mysyrowicz, Opt. Lett. 21, 62 (1996).
    [CrossRef] [PubMed]
  3. P. F. Curley, E. T. J. Nibbering, G. Grillon, R. Lange, M. A. Franco, T. Lehner, B. S. Prade, and A. Mysyrowicz, in Ultrafast Phenomena X, Vol. 62 of Springer Series in Chemistry and Physics, P. F. Barbara, J. G. Fujimoto, W. H. Knox, and W. Zinth, eds. (Springer-Verlag, Berlin, 1996), p. 103.
    [CrossRef]
  4. A. Brodeur, C. Y. Chien, F. A. Ilkov, S. L. Chin, O. G. Kosareva, and V. P. Kandidov, Opt. Lett. 22, 304 (1997).
    [CrossRef] [PubMed]
  5. X. M. Zhao, J.-C. Diels, C. Y. Wang, and J. M. Elizondo, IEEE J. Quantum Electron. 31, 599 (1995).
    [CrossRef]
  6. J. H. Marburger, Prog. Quantum Electron. 4, 35 (1975).
    [CrossRef]
  7. In the absence of ionization the solution of the nonlinear propagation equation leads to a singularity. We removed this beam collapse by introducing an upper limit of 1014 W/cm2 for the local intensity.
  8. E. T. J. Nibbering, G. Grillon, M. A. Franco, B. S. Prade, and A. Mysyrowicz, J. Opt. Soc. Am. B 14, 650 (1997).
    [CrossRef]

1997

1996

1995

A. Braun, G. Korn, X. Liu, D. Du, J. Squier, and G. Mourou, Opt. Lett. 20, 73 (1995).
[CrossRef] [PubMed]

X. M. Zhao, J.-C. Diels, C. Y. Wang, and J. M. Elizondo, IEEE J. Quantum Electron. 31, 599 (1995).
[CrossRef]

1975

J. H. Marburger, Prog. Quantum Electron. 4, 35 (1975).
[CrossRef]

Braun, A.

Brodeur, A.

Chien, C. Y.

Chin, S. L.

Curley, P. F.

E. T. J. Nibbering, P. F. Curley, G. Grillon, B. S. Prade, M. A. Franco, F. Salin, and A. Mysyrowicz, Opt. Lett. 21, 62 (1996).
[CrossRef] [PubMed]

P. F. Curley, E. T. J. Nibbering, G. Grillon, R. Lange, M. A. Franco, T. Lehner, B. S. Prade, and A. Mysyrowicz, in Ultrafast Phenomena X, Vol. 62 of Springer Series in Chemistry and Physics, P. F. Barbara, J. G. Fujimoto, W. H. Knox, and W. Zinth, eds. (Springer-Verlag, Berlin, 1996), p. 103.
[CrossRef]

Diels, J.-C.

X. M. Zhao, J.-C. Diels, C. Y. Wang, and J. M. Elizondo, IEEE J. Quantum Electron. 31, 599 (1995).
[CrossRef]

Du, D.

Elizondo, J. M.

X. M. Zhao, J.-C. Diels, C. Y. Wang, and J. M. Elizondo, IEEE J. Quantum Electron. 31, 599 (1995).
[CrossRef]

Franco, M. A.

E. T. J. Nibbering, G. Grillon, M. A. Franco, B. S. Prade, and A. Mysyrowicz, J. Opt. Soc. Am. B 14, 650 (1997).
[CrossRef]

E. T. J. Nibbering, P. F. Curley, G. Grillon, B. S. Prade, M. A. Franco, F. Salin, and A. Mysyrowicz, Opt. Lett. 21, 62 (1996).
[CrossRef] [PubMed]

P. F. Curley, E. T. J. Nibbering, G. Grillon, R. Lange, M. A. Franco, T. Lehner, B. S. Prade, and A. Mysyrowicz, in Ultrafast Phenomena X, Vol. 62 of Springer Series in Chemistry and Physics, P. F. Barbara, J. G. Fujimoto, W. H. Knox, and W. Zinth, eds. (Springer-Verlag, Berlin, 1996), p. 103.
[CrossRef]

Grillon, G.

E. T. J. Nibbering, G. Grillon, M. A. Franco, B. S. Prade, and A. Mysyrowicz, J. Opt. Soc. Am. B 14, 650 (1997).
[CrossRef]

E. T. J. Nibbering, P. F. Curley, G. Grillon, B. S. Prade, M. A. Franco, F. Salin, and A. Mysyrowicz, Opt. Lett. 21, 62 (1996).
[CrossRef] [PubMed]

P. F. Curley, E. T. J. Nibbering, G. Grillon, R. Lange, M. A. Franco, T. Lehner, B. S. Prade, and A. Mysyrowicz, in Ultrafast Phenomena X, Vol. 62 of Springer Series in Chemistry and Physics, P. F. Barbara, J. G. Fujimoto, W. H. Knox, and W. Zinth, eds. (Springer-Verlag, Berlin, 1996), p. 103.
[CrossRef]

Ilkov, F. A.

Kandidov, V. P.

Korn, G.

Kosareva, O. G.

Lange, R.

P. F. Curley, E. T. J. Nibbering, G. Grillon, R. Lange, M. A. Franco, T. Lehner, B. S. Prade, and A. Mysyrowicz, in Ultrafast Phenomena X, Vol. 62 of Springer Series in Chemistry and Physics, P. F. Barbara, J. G. Fujimoto, W. H. Knox, and W. Zinth, eds. (Springer-Verlag, Berlin, 1996), p. 103.
[CrossRef]

Lehner, T.

P. F. Curley, E. T. J. Nibbering, G. Grillon, R. Lange, M. A. Franco, T. Lehner, B. S. Prade, and A. Mysyrowicz, in Ultrafast Phenomena X, Vol. 62 of Springer Series in Chemistry and Physics, P. F. Barbara, J. G. Fujimoto, W. H. Knox, and W. Zinth, eds. (Springer-Verlag, Berlin, 1996), p. 103.
[CrossRef]

Liu, X.

Marburger, J. H.

J. H. Marburger, Prog. Quantum Electron. 4, 35 (1975).
[CrossRef]

Mourou, G.

Mysyrowicz, A.

E. T. J. Nibbering, G. Grillon, M. A. Franco, B. S. Prade, and A. Mysyrowicz, J. Opt. Soc. Am. B 14, 650 (1997).
[CrossRef]

E. T. J. Nibbering, P. F. Curley, G. Grillon, B. S. Prade, M. A. Franco, F. Salin, and A. Mysyrowicz, Opt. Lett. 21, 62 (1996).
[CrossRef] [PubMed]

P. F. Curley, E. T. J. Nibbering, G. Grillon, R. Lange, M. A. Franco, T. Lehner, B. S. Prade, and A. Mysyrowicz, in Ultrafast Phenomena X, Vol. 62 of Springer Series in Chemistry and Physics, P. F. Barbara, J. G. Fujimoto, W. H. Knox, and W. Zinth, eds. (Springer-Verlag, Berlin, 1996), p. 103.
[CrossRef]

Nibbering, E. T. J.

E. T. J. Nibbering, G. Grillon, M. A. Franco, B. S. Prade, and A. Mysyrowicz, J. Opt. Soc. Am. B 14, 650 (1997).
[CrossRef]

E. T. J. Nibbering, P. F. Curley, G. Grillon, B. S. Prade, M. A. Franco, F. Salin, and A. Mysyrowicz, Opt. Lett. 21, 62 (1996).
[CrossRef] [PubMed]

P. F. Curley, E. T. J. Nibbering, G. Grillon, R. Lange, M. A. Franco, T. Lehner, B. S. Prade, and A. Mysyrowicz, in Ultrafast Phenomena X, Vol. 62 of Springer Series in Chemistry and Physics, P. F. Barbara, J. G. Fujimoto, W. H. Knox, and W. Zinth, eds. (Springer-Verlag, Berlin, 1996), p. 103.
[CrossRef]

Prade, B. S.

E. T. J. Nibbering, G. Grillon, M. A. Franco, B. S. Prade, and A. Mysyrowicz, J. Opt. Soc. Am. B 14, 650 (1997).
[CrossRef]

E. T. J. Nibbering, P. F. Curley, G. Grillon, B. S. Prade, M. A. Franco, F. Salin, and A. Mysyrowicz, Opt. Lett. 21, 62 (1996).
[CrossRef] [PubMed]

P. F. Curley, E. T. J. Nibbering, G. Grillon, R. Lange, M. A. Franco, T. Lehner, B. S. Prade, and A. Mysyrowicz, in Ultrafast Phenomena X, Vol. 62 of Springer Series in Chemistry and Physics, P. F. Barbara, J. G. Fujimoto, W. H. Knox, and W. Zinth, eds. (Springer-Verlag, Berlin, 1996), p. 103.
[CrossRef]

Salin, F.

Squier, J.

Wang, C. Y.

X. M. Zhao, J.-C. Diels, C. Y. Wang, and J. M. Elizondo, IEEE J. Quantum Electron. 31, 599 (1995).
[CrossRef]

Zhao, X. M.

X. M. Zhao, J.-C. Diels, C. Y. Wang, and J. M. Elizondo, IEEE J. Quantum Electron. 31, 599 (1995).
[CrossRef]

IEEE J. Quantum Electron.

X. M. Zhao, J.-C. Diels, C. Y. Wang, and J. M. Elizondo, IEEE J. Quantum Electron. 31, 599 (1995).
[CrossRef]

J. Opt. Soc. Am. B

Opt. Lett.

Prog. Quantum Electron.

J. H. Marburger, Prog. Quantum Electron. 4, 35 (1975).
[CrossRef]

Other

In the absence of ionization the solution of the nonlinear propagation equation leads to a singularity. We removed this beam collapse by introducing an upper limit of 1014 W/cm2 for the local intensity.

P. F. Curley, E. T. J. Nibbering, G. Grillon, R. Lange, M. A. Franco, T. Lehner, B. S. Prade, and A. Mysyrowicz, in Ultrafast Phenomena X, Vol. 62 of Springer Series in Chemistry and Physics, P. F. Barbara, J. G. Fujimoto, W. H. Knox, and W. Zinth, eds. (Springer-Verlag, Berlin, 1996), p. 103.
[CrossRef]

Cited By

OSA participates in CrossRef's Cited-By Linking service. Citing articles from OSA journals and other participating publishers are listed here.

Alert me when this article is cited.


Figures (4)

Fig. 1
Fig. 1

Simulation of the evolution of a Gaussian beam for initial conditions f=2 m, Δr=2 mm, ΔT=120 fs, E0=3.9 mJ. The solid curves represent the diameter at FWHM for (a) the moving-focus model (including the instantaneous Kerr effect) and (b) the dynamic model (including ionization and the noninstantaneous Kerr effect). Dashed curves, propagation in vacuum.

Fig. 2
Fig. 2

Typical experimental setup.

Fig. 3
Fig. 3

Single-shot beam profile measured in air at 0.7  m after the vacuum focus for initial conditions E0=1.5 mJ, ΔT=120 fs, Δr=7 mm. The background asymmetry is due to the backface reflection on the glass plate.

Fig. 4
Fig. 4

Simulation of the evolution of a super-Gaussian spatial profile at (a) z=0.0 m, (b) z=2.0 m, (c) z=2.7 m in air under initial conditions corresponding to those in Fig.  2 [note the different scales in (a)–(c)].

Equations (1)

Equations on this page are rendered with MathJax. Learn more.

zft0.367ka2Pt-zftνgP21/2-0.852,

Metrics