Abstract

The spectral and temporal characteristics of ≈10-fs pulses from a self-mode-locked Ti:sapphire laser were found to exhibit large deviations from the predictions of current theories of mode locking. A simple model that takes into account coherent coupling between the circulating pulse and the gain medium gives results in good agreement with experimental observations.

© 1994 Optical Society of America

Full Article  |  PDF Article

References

  • View by:
  • |
  • |
  • |

  1. D. E. Spence, P. N. Kean, W. Sibbett, Opt. Lett. 16, 42 (1991).
    [CrossRef] [PubMed]
  2. See, e.g., F. Krausz, M. E. Fermann, T. Brabec, P. F. Curley, M. Hofer, M. H. Ober, Ch. Spielmann, E. Wintner, A. J. Schmidt, IEEE J. Quantum Electron. 28, 2097 (1992).
    [CrossRef]
  3. B. E. Lemoff, C. P. J. Barty, Opt. Lett. 17, 1367 (1992).
    [CrossRef] [PubMed]
  4. P. F. Curley, Ch. Spielmann, T. Brabec, F. Krausz, E. Wintner, A. J. Schmidt, Opt. Lett. 18, 54 (1993).
    [CrossRef] [PubMed]
  5. B. Proctor, F. Wise, Appl. Phys. Lett. 62, 470 (1993).
    [CrossRef]
  6. M. Asaki, C. Huang, D. Garvey, J. Zhou, H. C. Kapteyn, M. M. Murnane, Opt. Lett. 18, 977 (1993).
    [CrossRef] [PubMed]
  7. C. P. Huang, H. C. Kapteyn, J. W. Mclntosh, M. M. Murnane, Opt. Lett. 17, 139 (1992).
    [CrossRef] [PubMed]
  8. F. Krausz, Ch. Spielmann, T. Brabec, E. Wintner, A. J. Schmidt, Opt. Lett. 17, 200 (1992).
    [CrossRef]
  9. Ch. Spielmann, P. F. Curley, T. Brabec, F. Krausz, “Ultrabroad-band femtosecond lasers,”IEEE J. Quantum Electron. (to be published).
  10. O. E. Martinez, R. L. Fork, J. P. Gordon, J. Opt. Soc. Am. B 2, 753 (1985).
    [CrossRef]
  11. H. A. Haus, J. G. Fujimoto, E. P. Ippen, IEEE J. Quantum Electron. 28, 2086 (1992).
    [CrossRef]
  12. T. Brabec, Ch. Spielmann, F. Krausz, Opt. Lett. 16, 1961 (1991).
    [CrossRef] [PubMed]
  13. J. D. Harvey, R. Leonhardt, P. D. Drummond, S. J. Carter, Phys. Rev. A 40, 4789 (1989).
    [CrossRef] [PubMed]
  14. J. M. Dudley, R. Leonhardt, J. D. Harvey, Opt. Lett. 15, 334 (1990).
    [CrossRef]
  15. J. M. Dudley, J. D. Harvey, L. Leonhardt, J. Opt. Soc. Am. B 10, 840 (1993).
    [CrossRef]
  16. J. M. Dudley, J. D. Harvey, Opt. Commun. 82, 517 (1991).
    [CrossRef]
  17. G. P. Agrawal, Nonlinear Fiber Optics (Academic, San Diego, Calif., 1989), Chap. 3, p. 64.
  18. T. Brabec, S. M. J. Kelly, Opt. Lett. 18, 2002 (1993).
    [CrossRef] [PubMed]
  19. B. E. Lemoff, C. P. J. Barty, Opt. Lett. 18, 57 (1993).
    [CrossRef] [PubMed]
  20. Z. Zhang, T. Yagi, Opt. Lett. 18, 2126 (1993).
    [CrossRef] [PubMed]

1993 (7)

1992 (5)

C. P. Huang, H. C. Kapteyn, J. W. Mclntosh, M. M. Murnane, Opt. Lett. 17, 139 (1992).
[CrossRef] [PubMed]

F. Krausz, Ch. Spielmann, T. Brabec, E. Wintner, A. J. Schmidt, Opt. Lett. 17, 200 (1992).
[CrossRef]

See, e.g., F. Krausz, M. E. Fermann, T. Brabec, P. F. Curley, M. Hofer, M. H. Ober, Ch. Spielmann, E. Wintner, A. J. Schmidt, IEEE J. Quantum Electron. 28, 2097 (1992).
[CrossRef]

B. E. Lemoff, C. P. J. Barty, Opt. Lett. 17, 1367 (1992).
[CrossRef] [PubMed]

H. A. Haus, J. G. Fujimoto, E. P. Ippen, IEEE J. Quantum Electron. 28, 2086 (1992).
[CrossRef]

1991 (3)

1990 (1)

J. M. Dudley, R. Leonhardt, J. D. Harvey, Opt. Lett. 15, 334 (1990).
[CrossRef]

1989 (1)

J. D. Harvey, R. Leonhardt, P. D. Drummond, S. J. Carter, Phys. Rev. A 40, 4789 (1989).
[CrossRef] [PubMed]

1985 (1)

Agrawal, G. P.

G. P. Agrawal, Nonlinear Fiber Optics (Academic, San Diego, Calif., 1989), Chap. 3, p. 64.

Asaki, M.

Barty, C. P. J.

Brabec, T.

P. F. Curley, Ch. Spielmann, T. Brabec, F. Krausz, E. Wintner, A. J. Schmidt, Opt. Lett. 18, 54 (1993).
[CrossRef] [PubMed]

T. Brabec, S. M. J. Kelly, Opt. Lett. 18, 2002 (1993).
[CrossRef] [PubMed]

See, e.g., F. Krausz, M. E. Fermann, T. Brabec, P. F. Curley, M. Hofer, M. H. Ober, Ch. Spielmann, E. Wintner, A. J. Schmidt, IEEE J. Quantum Electron. 28, 2097 (1992).
[CrossRef]

F. Krausz, Ch. Spielmann, T. Brabec, E. Wintner, A. J. Schmidt, Opt. Lett. 17, 200 (1992).
[CrossRef]

T. Brabec, Ch. Spielmann, F. Krausz, Opt. Lett. 16, 1961 (1991).
[CrossRef] [PubMed]

Ch. Spielmann, P. F. Curley, T. Brabec, F. Krausz, “Ultrabroad-band femtosecond lasers,”IEEE J. Quantum Electron. (to be published).

Carter, S. J.

J. D. Harvey, R. Leonhardt, P. D. Drummond, S. J. Carter, Phys. Rev. A 40, 4789 (1989).
[CrossRef] [PubMed]

Curley, P. F.

P. F. Curley, Ch. Spielmann, T. Brabec, F. Krausz, E. Wintner, A. J. Schmidt, Opt. Lett. 18, 54 (1993).
[CrossRef] [PubMed]

See, e.g., F. Krausz, M. E. Fermann, T. Brabec, P. F. Curley, M. Hofer, M. H. Ober, Ch. Spielmann, E. Wintner, A. J. Schmidt, IEEE J. Quantum Electron. 28, 2097 (1992).
[CrossRef]

Ch. Spielmann, P. F. Curley, T. Brabec, F. Krausz, “Ultrabroad-band femtosecond lasers,”IEEE J. Quantum Electron. (to be published).

Drummond, P. D.

J. D. Harvey, R. Leonhardt, P. D. Drummond, S. J. Carter, Phys. Rev. A 40, 4789 (1989).
[CrossRef] [PubMed]

Dudley, J. M.

J. M. Dudley, J. D. Harvey, L. Leonhardt, J. Opt. Soc. Am. B 10, 840 (1993).
[CrossRef]

J. M. Dudley, J. D. Harvey, Opt. Commun. 82, 517 (1991).
[CrossRef]

J. M. Dudley, R. Leonhardt, J. D. Harvey, Opt. Lett. 15, 334 (1990).
[CrossRef]

Fermann, M. E.

See, e.g., F. Krausz, M. E. Fermann, T. Brabec, P. F. Curley, M. Hofer, M. H. Ober, Ch. Spielmann, E. Wintner, A. J. Schmidt, IEEE J. Quantum Electron. 28, 2097 (1992).
[CrossRef]

Fork, R. L.

Fujimoto, J. G.

H. A. Haus, J. G. Fujimoto, E. P. Ippen, IEEE J. Quantum Electron. 28, 2086 (1992).
[CrossRef]

Garvey, D.

Gordon, J. P.

Harvey, J. D.

J. M. Dudley, J. D. Harvey, L. Leonhardt, J. Opt. Soc. Am. B 10, 840 (1993).
[CrossRef]

J. M. Dudley, J. D. Harvey, Opt. Commun. 82, 517 (1991).
[CrossRef]

J. M. Dudley, R. Leonhardt, J. D. Harvey, Opt. Lett. 15, 334 (1990).
[CrossRef]

J. D. Harvey, R. Leonhardt, P. D. Drummond, S. J. Carter, Phys. Rev. A 40, 4789 (1989).
[CrossRef] [PubMed]

Haus, H. A.

H. A. Haus, J. G. Fujimoto, E. P. Ippen, IEEE J. Quantum Electron. 28, 2086 (1992).
[CrossRef]

Hofer, M.

See, e.g., F. Krausz, M. E. Fermann, T. Brabec, P. F. Curley, M. Hofer, M. H. Ober, Ch. Spielmann, E. Wintner, A. J. Schmidt, IEEE J. Quantum Electron. 28, 2097 (1992).
[CrossRef]

Huang, C.

Huang, C. P.

Ippen, E. P.

H. A. Haus, J. G. Fujimoto, E. P. Ippen, IEEE J. Quantum Electron. 28, 2086 (1992).
[CrossRef]

Kapteyn, H. C.

Kean, P. N.

Kelly, S. M. J.

Krausz, F.

P. F. Curley, Ch. Spielmann, T. Brabec, F. Krausz, E. Wintner, A. J. Schmidt, Opt. Lett. 18, 54 (1993).
[CrossRef] [PubMed]

See, e.g., F. Krausz, M. E. Fermann, T. Brabec, P. F. Curley, M. Hofer, M. H. Ober, Ch. Spielmann, E. Wintner, A. J. Schmidt, IEEE J. Quantum Electron. 28, 2097 (1992).
[CrossRef]

F. Krausz, Ch. Spielmann, T. Brabec, E. Wintner, A. J. Schmidt, Opt. Lett. 17, 200 (1992).
[CrossRef]

T. Brabec, Ch. Spielmann, F. Krausz, Opt. Lett. 16, 1961 (1991).
[CrossRef] [PubMed]

Ch. Spielmann, P. F. Curley, T. Brabec, F. Krausz, “Ultrabroad-band femtosecond lasers,”IEEE J. Quantum Electron. (to be published).

Lemoff, B. E.

Leonhardt, L.

Leonhardt, R.

J. M. Dudley, R. Leonhardt, J. D. Harvey, Opt. Lett. 15, 334 (1990).
[CrossRef]

J. D. Harvey, R. Leonhardt, P. D. Drummond, S. J. Carter, Phys. Rev. A 40, 4789 (1989).
[CrossRef] [PubMed]

Martinez, O. E.

Mclntosh, J. W.

Murnane, M. M.

Ober, M. H.

See, e.g., F. Krausz, M. E. Fermann, T. Brabec, P. F. Curley, M. Hofer, M. H. Ober, Ch. Spielmann, E. Wintner, A. J. Schmidt, IEEE J. Quantum Electron. 28, 2097 (1992).
[CrossRef]

Proctor, B.

B. Proctor, F. Wise, Appl. Phys. Lett. 62, 470 (1993).
[CrossRef]

Schmidt, A. J.

P. F. Curley, Ch. Spielmann, T. Brabec, F. Krausz, E. Wintner, A. J. Schmidt, Opt. Lett. 18, 54 (1993).
[CrossRef] [PubMed]

See, e.g., F. Krausz, M. E. Fermann, T. Brabec, P. F. Curley, M. Hofer, M. H. Ober, Ch. Spielmann, E. Wintner, A. J. Schmidt, IEEE J. Quantum Electron. 28, 2097 (1992).
[CrossRef]

F. Krausz, Ch. Spielmann, T. Brabec, E. Wintner, A. J. Schmidt, Opt. Lett. 17, 200 (1992).
[CrossRef]

Sibbett, W.

Spence, D. E.

Spielmann, Ch.

P. F. Curley, Ch. Spielmann, T. Brabec, F. Krausz, E. Wintner, A. J. Schmidt, Opt. Lett. 18, 54 (1993).
[CrossRef] [PubMed]

See, e.g., F. Krausz, M. E. Fermann, T. Brabec, P. F. Curley, M. Hofer, M. H. Ober, Ch. Spielmann, E. Wintner, A. J. Schmidt, IEEE J. Quantum Electron. 28, 2097 (1992).
[CrossRef]

F. Krausz, Ch. Spielmann, T. Brabec, E. Wintner, A. J. Schmidt, Opt. Lett. 17, 200 (1992).
[CrossRef]

T. Brabec, Ch. Spielmann, F. Krausz, Opt. Lett. 16, 1961 (1991).
[CrossRef] [PubMed]

Ch. Spielmann, P. F. Curley, T. Brabec, F. Krausz, “Ultrabroad-band femtosecond lasers,”IEEE J. Quantum Electron. (to be published).

Wintner, E.

P. F. Curley, Ch. Spielmann, T. Brabec, F. Krausz, E. Wintner, A. J. Schmidt, Opt. Lett. 18, 54 (1993).
[CrossRef] [PubMed]

See, e.g., F. Krausz, M. E. Fermann, T. Brabec, P. F. Curley, M. Hofer, M. H. Ober, Ch. Spielmann, E. Wintner, A. J. Schmidt, IEEE J. Quantum Electron. 28, 2097 (1992).
[CrossRef]

F. Krausz, Ch. Spielmann, T. Brabec, E. Wintner, A. J. Schmidt, Opt. Lett. 17, 200 (1992).
[CrossRef]

Wise, F.

B. Proctor, F. Wise, Appl. Phys. Lett. 62, 470 (1993).
[CrossRef]

Yagi, T.

Zhang, Z.

Zhou, J.

Appl. Phys. Lett. (1)

B. Proctor, F. Wise, Appl. Phys. Lett. 62, 470 (1993).
[CrossRef]

IEEE J. Quantum Electron. (2)

See, e.g., F. Krausz, M. E. Fermann, T. Brabec, P. F. Curley, M. Hofer, M. H. Ober, Ch. Spielmann, E. Wintner, A. J. Schmidt, IEEE J. Quantum Electron. 28, 2097 (1992).
[CrossRef]

H. A. Haus, J. G. Fujimoto, E. P. Ippen, IEEE J. Quantum Electron. 28, 2086 (1992).
[CrossRef]

J. Opt. Soc. Am. B (2)

Opt. Commun. (1)

J. M. Dudley, J. D. Harvey, Opt. Commun. 82, 517 (1991).
[CrossRef]

Opt. Lett. (11)

Phys. Rev. A (1)

J. D. Harvey, R. Leonhardt, P. D. Drummond, S. J. Carter, Phys. Rev. A 40, 4789 (1989).
[CrossRef] [PubMed]

Other (2)

G. P. Agrawal, Nonlinear Fiber Optics (Academic, San Diego, Calif., 1989), Chap. 3, p. 64.

Ch. Spielmann, P. F. Curley, T. Brabec, F. Krausz, “Ultrabroad-band femtosecond lasers,”IEEE J. Quantum Electron. (to be published).

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) Mode-locked spectrum and (b) corresponding fringe-resolved autocorrelation of a self-mode-locked Ti:sapphire laser operating in the 10–fs regime. The narrow spike in the spectrum relates to a low-intensity background with negligible energy content, (c) Calculated fit to (b), assuming a pulse envelope with coherent ringing, with the dashed curve in (a) representing the corresponding calculated spectrum.

Fig. 2
Fig. 2

(a) Pulse envelope and (b) intensity, illustrating the coherent ringing.

Fig. 3
Fig. 3

Evolution of the mode-locked spectrum in the Ti:sapphire laser near (a) 780 nm, where cubic dispersion is the dominant perturbation, and (b) 840 nm, where cubic dispersion is negligible, for decreasing negative GDD in the cavity. All data are corrected for detector response.

Equations (4)

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

P ( z , t ) t + [ 1 T 2 + i ( ω 0 ω a ) ] P ( z , t ) = i μ 2 Δ N ћ E ( z , t ) ,
E ( z , t ) z = i ω a 2 0 cn P ( z , t ) ,
Δ E ( t ) exp ( t / T 2 ) exp [ i ( ω 0 ω a ) t ] .
E ( t ) = E 0 { exp ( β t 2 ) α 1 exp [ β ( t T ) 2 ] + α 2 exp [ β ( t 2 T ) 2 ] α 3 exp [ β ( t 3 T ) 2 ] } .

Metrics