Abstract

The fundamental asymptotic nature of parabolic similariton pulses in normal-dispersion fiber amplifiers is experimentally demonstrated. With frequency-resolved optical gating characterization measurements with a fixed input pulse energy, the output parabolic pulse characteristics are shown to be invariant with the input pulse profile and duration and to be completely determined only by the amplifier parameters.

© 2004 Optical Society of America

Full Article  |  PDF Article

References

  • View by:
  • |
  • |
  • |

  1. M. E. Fermann, V. I. Kruglov, B. C. Thomsen, J. M. Dudley, and J. D. Harvey, Phys. Rev. Lett. 84, 6010 (2000).
    [CrossRef] [PubMed]
  2. V. I. Kruglov, A. C. Peacock, J. M. Dudley, and J. D. Harvey, Opt. Lett. 25, 1753 (2000).
    [CrossRef]
  3. V. I. Kruglov, A. C. Peacock, J. M. Dudley, and J. D. Harvey, J. Opt. Soc. Am. B 19, 461 (2002).
    [CrossRef]
  4. J. Limpert, T. Schreiber, T. Clausnitzer, K. Zöllner, H.-J. Fuchs, E.-B. Bley, H. Zellmer, and A. Tünnermann, Opt. Express 10, 628 (2002), http://www.opticsexpress.org .
    [CrossRef] [PubMed]
  5. A. C. Peacock, N. G. R. Broderick, and T. M. Monro, Opt. Commun. 218, 167 (2003).
    [CrossRef]
  6. C. Finot, G. Millot, C. Billet, and J. M. Dudley, Opt. Express 11, 1547 (2003), http://www.opticsexpress.org .
    [CrossRef] [PubMed]
  7. D. Anderson, M. Desaix, M. Karlsson, M. Lisak, and M. L. Quiroga-Teixeiro, J. Opt. Soc. Am. B 10, 1185 (1993).
    [CrossRef]
  8. K. Tamura and M. Nakazawa, Opt. Lett. 21, 68 (1996).
    [CrossRef] [PubMed]
  9. F. Ö. Ilday, J. R. Buckley, W. G. Clark, and F. W. Wise, Phys. Rev. Lett. 92, 213902 (2004).
    [CrossRef]
  10. S. Boscolo, S. K. Turitsyn, V. Yu. Novokshenov, and J. H. B. Nijhof, Theor. Math. Phys. 133, 1647 (2002).
    [CrossRef]
  11. V. I. Kruglov, A. C. Peacock, and J. D. Harvey, Phys. Rev. Lett. 90, 113902 (2003).
    [CrossRef]
  12. R. Trebino, Frequency-Resolved Optical Gating. The Measurement of Ultrashort Laser Pulses (Kluwer Academic, Dordrecht, The Netherlands, 2000).
    [CrossRef]
  13. G. P. Agrawal, Nonlinear Fiber Optics, 3rd ed. (Academic, New York, 2001).

2004

F. Ö. Ilday, J. R. Buckley, W. G. Clark, and F. W. Wise, Phys. Rev. Lett. 92, 213902 (2004).
[CrossRef]

2003

A. C. Peacock, N. G. R. Broderick, and T. M. Monro, Opt. Commun. 218, 167 (2003).
[CrossRef]

C. Finot, G. Millot, C. Billet, and J. M. Dudley, Opt. Express 11, 1547 (2003), http://www.opticsexpress.org .
[CrossRef] [PubMed]

V. I. Kruglov, A. C. Peacock, and J. D. Harvey, Phys. Rev. Lett. 90, 113902 (2003).
[CrossRef]

2002

2000

M. E. Fermann, V. I. Kruglov, B. C. Thomsen, J. M. Dudley, and J. D. Harvey, Phys. Rev. Lett. 84, 6010 (2000).
[CrossRef] [PubMed]

V. I. Kruglov, A. C. Peacock, J. M. Dudley, and J. D. Harvey, Opt. Lett. 25, 1753 (2000).
[CrossRef]

1996

1993

Agrawal, G. P.

G. P. Agrawal, Nonlinear Fiber Optics, 3rd ed. (Academic, New York, 2001).

Anderson, D.

Billet, C.

Bley, E.-B.

Boscolo, S.

S. Boscolo, S. K. Turitsyn, V. Yu. Novokshenov, and J. H. B. Nijhof, Theor. Math. Phys. 133, 1647 (2002).
[CrossRef]

Broderick, N. G. R.

A. C. Peacock, N. G. R. Broderick, and T. M. Monro, Opt. Commun. 218, 167 (2003).
[CrossRef]

Buckley, J. R.

F. Ö. Ilday, J. R. Buckley, W. G. Clark, and F. W. Wise, Phys. Rev. Lett. 92, 213902 (2004).
[CrossRef]

Clark, W. G.

F. Ö. Ilday, J. R. Buckley, W. G. Clark, and F. W. Wise, Phys. Rev. Lett. 92, 213902 (2004).
[CrossRef]

Clausnitzer, T.

Desaix, M.

Dudley, J. M.

Fermann, M. E.

M. E. Fermann, V. I. Kruglov, B. C. Thomsen, J. M. Dudley, and J. D. Harvey, Phys. Rev. Lett. 84, 6010 (2000).
[CrossRef] [PubMed]

Finot, C.

Fuchs, H.-J.

Harvey, J. D.

V. I. Kruglov, A. C. Peacock, and J. D. Harvey, Phys. Rev. Lett. 90, 113902 (2003).
[CrossRef]

V. I. Kruglov, A. C. Peacock, J. M. Dudley, and J. D. Harvey, J. Opt. Soc. Am. B 19, 461 (2002).
[CrossRef]

V. I. Kruglov, A. C. Peacock, J. M. Dudley, and J. D. Harvey, Opt. Lett. 25, 1753 (2000).
[CrossRef]

M. E. Fermann, V. I. Kruglov, B. C. Thomsen, J. M. Dudley, and J. D. Harvey, Phys. Rev. Lett. 84, 6010 (2000).
[CrossRef] [PubMed]

Ilday, F. Ö.

F. Ö. Ilday, J. R. Buckley, W. G. Clark, and F. W. Wise, Phys. Rev. Lett. 92, 213902 (2004).
[CrossRef]

Karlsson, M.

Kruglov, V. I.

V. I. Kruglov, A. C. Peacock, and J. D. Harvey, Phys. Rev. Lett. 90, 113902 (2003).
[CrossRef]

V. I. Kruglov, A. C. Peacock, J. M. Dudley, and J. D. Harvey, J. Opt. Soc. Am. B 19, 461 (2002).
[CrossRef]

V. I. Kruglov, A. C. Peacock, J. M. Dudley, and J. D. Harvey, Opt. Lett. 25, 1753 (2000).
[CrossRef]

M. E. Fermann, V. I. Kruglov, B. C. Thomsen, J. M. Dudley, and J. D. Harvey, Phys. Rev. Lett. 84, 6010 (2000).
[CrossRef] [PubMed]

Limpert, J.

Lisak, M.

Millot, G.

Monro, T. M.

A. C. Peacock, N. G. R. Broderick, and T. M. Monro, Opt. Commun. 218, 167 (2003).
[CrossRef]

Nakazawa, M.

Nijhof, J. H. B.

S. Boscolo, S. K. Turitsyn, V. Yu. Novokshenov, and J. H. B. Nijhof, Theor. Math. Phys. 133, 1647 (2002).
[CrossRef]

Novokshenov, V. Yu.

S. Boscolo, S. K. Turitsyn, V. Yu. Novokshenov, and J. H. B. Nijhof, Theor. Math. Phys. 133, 1647 (2002).
[CrossRef]

Peacock, A. C.

V. I. Kruglov, A. C. Peacock, and J. D. Harvey, Phys. Rev. Lett. 90, 113902 (2003).
[CrossRef]

A. C. Peacock, N. G. R. Broderick, and T. M. Monro, Opt. Commun. 218, 167 (2003).
[CrossRef]

V. I. Kruglov, A. C. Peacock, J. M. Dudley, and J. D. Harvey, J. Opt. Soc. Am. B 19, 461 (2002).
[CrossRef]

V. I. Kruglov, A. C. Peacock, J. M. Dudley, and J. D. Harvey, Opt. Lett. 25, 1753 (2000).
[CrossRef]

Quiroga-Teixeiro, M. L.

Schreiber, T.

Tamura, K.

Thomsen, B. C.

M. E. Fermann, V. I. Kruglov, B. C. Thomsen, J. M. Dudley, and J. D. Harvey, Phys. Rev. Lett. 84, 6010 (2000).
[CrossRef] [PubMed]

Trebino, R.

R. Trebino, Frequency-Resolved Optical Gating. The Measurement of Ultrashort Laser Pulses (Kluwer Academic, Dordrecht, The Netherlands, 2000).
[CrossRef]

Tünnermann, A.

Turitsyn, S. K.

S. Boscolo, S. K. Turitsyn, V. Yu. Novokshenov, and J. H. B. Nijhof, Theor. Math. Phys. 133, 1647 (2002).
[CrossRef]

Wise, F. W.

F. Ö. Ilday, J. R. Buckley, W. G. Clark, and F. W. Wise, Phys. Rev. Lett. 92, 213902 (2004).
[CrossRef]

Zellmer, H.

Zöllner, K.

J. Opt. Soc. Am. B

Opt. Commun.

A. C. Peacock, N. G. R. Broderick, and T. M. Monro, Opt. Commun. 218, 167 (2003).
[CrossRef]

Opt. Express

Opt. Lett.

Phys. Rev. Lett.

F. Ö. Ilday, J. R. Buckley, W. G. Clark, and F. W. Wise, Phys. Rev. Lett. 92, 213902 (2004).
[CrossRef]

M. E. Fermann, V. I. Kruglov, B. C. Thomsen, J. M. Dudley, and J. D. Harvey, Phys. Rev. Lett. 84, 6010 (2000).
[CrossRef] [PubMed]

V. I. Kruglov, A. C. Peacock, and J. D. Harvey, Phys. Rev. Lett. 90, 113902 (2003).
[CrossRef]

Theor. Math. Phys.

S. Boscolo, S. K. Turitsyn, V. Yu. Novokshenov, and J. H. B. Nijhof, Theor. Math. Phys. 133, 1647 (2002).
[CrossRef]

Other

R. Trebino, Frequency-Resolved Optical Gating. The Measurement of Ultrashort Laser Pulses (Kluwer Academic, Dordrecht, The Netherlands, 2000).
[CrossRef]

G. P. Agrawal, Nonlinear Fiber Optics, 3rd ed. (Academic, New York, 2001).

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 (3)

Fig. 1
Fig. 1

(a) Intensity from FROG retrievals of input pulses with identical energy of 2.16 pJ and different FWHM temporal widths: 6.2, 7.8, and 10.9 ps (solid, dotted, and dashed curves, respectively). (b) Simulation results showing the evolution of the temporal FWHM in the 5.3-km fiber amplifier for these input pulses. The circles show the theoretical predictions for the asymptotic parabolic pulse evolution.

Fig. 2
Fig. 2

Intensity and chirp profiles from FROG retrievals of output pulses after 5.3 km of propagation of the input pulses in Fig. 1(a). Parabolic and linear fits (circles) for the intensity and chirp profiles in the particular case of the 7.8-ps input pulse.

Fig. 3
Fig. 3

Variation of the spectral width (circles) and peak power (crosses) of the output pulses measured from FROG retrievals as a function of the input pulse duration at a fixed 2.16-pJ energy. Experimental data are compared with corresponding results obtained from numerical simulations (solid curves) and the asymptotic parabolic pulse theory (dashed lines).

Equations (2)

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

iEz=β222Et2-γE2E+ig2E.
Ez,t=Ao expgz31-tTpz21/2×expiφo+3γAo22gexp2gz/3-g6β2t2, tTpz,

Metrics