Abstract

We investigate the evolution of continuous-wave laser oscillation from free-running to mode-locked operation assuming a nonlinear device with an intensity-dependent transmittivity or reflectivity to be the mode-locking element. An intensity threshold for self-starting passive mode locking is predicted and related to the linewidth of the first beat note of the power spectrum of the free-running laser output. Experimental results confirm the predictions of the theory.

© 1991 Optical Society of America

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References

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  1. L. Dahlström, Opt. Commun. 5, 157 (1972).
    [Crossref]
  2. K. Sala, M. C. Richardson, N. R. Isenor, IEEE J. Quantum Electron. QE-13, 915 (1977).
    [Crossref]
  3. F. Ouellette, M. Piche, Opt. Commun. 60, 99 (1986).
    [Crossref]
  4. K. A. Stankov, J. Jethwa, Opt. Commun. 66, 41 (1988).
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  5. J. Goodberlet, J. Wang, J. G. Fujimoto, P. A. Schulz, Opt. Lett. 14, 1125 (1989).
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  6. E. P. Ippen, H. A. Haus, L. Y. Liu, J. Opt. Soc. Am. B 6, 1736 (1989).
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  7. J. Goodberlet, J. Jacobsen, J. G. Fujimoto, P. A. Schulz, T. Y. Fan, Opt. Lett. 15, 504 (1990).
    [Crossref] [PubMed]
  8. F. Krausz, Ch. Spielmann, T. Brabec, E. Wintner, A. J. Schmidt, Opt. Lett. 15, 1082 (1990).
    [Crossref] [PubMed]
  9. T. F. Carruthers, I. N. Duling, Opt. Lett. 15, 804 (1990).
    [Crossref] [PubMed]
  10. H. A. Haus, IEEE J. Quantum Electron. QE-11, 736 (1975).
    [Crossref]
  11. E. P. Ippen, L. Y. Liu, H. A. Haus, Opt. Lett. 15, 183 (1990).
    [Crossref] [PubMed]
  12. P. G. Kryukov, V. S. Letokhov, IEEE J. Quantum Electron. QE-8, 776 (1972).
  13. Ch. Spielmann, F. Krausz, T. Brabec, E. Wintner, A. J. Schmidt, “Experimental study of self-starting additive-pulse mode locking,” IEEE J. Quantum Electron. (to be published).

1990 (4)

1989 (2)

1988 (1)

K. A. Stankov, J. Jethwa, Opt. Commun. 66, 41 (1988).
[Crossref]

1986 (1)

F. Ouellette, M. Piche, Opt. Commun. 60, 99 (1986).
[Crossref]

1977 (1)

K. Sala, M. C. Richardson, N. R. Isenor, IEEE J. Quantum Electron. QE-13, 915 (1977).
[Crossref]

1975 (1)

H. A. Haus, IEEE J. Quantum Electron. QE-11, 736 (1975).
[Crossref]

1972 (2)

L. Dahlström, Opt. Commun. 5, 157 (1972).
[Crossref]

P. G. Kryukov, V. S. Letokhov, IEEE J. Quantum Electron. QE-8, 776 (1972).

Brabec, T.

F. Krausz, Ch. Spielmann, T. Brabec, E. Wintner, A. J. Schmidt, Opt. Lett. 15, 1082 (1990).
[Crossref] [PubMed]

Ch. Spielmann, F. Krausz, T. Brabec, E. Wintner, A. J. Schmidt, “Experimental study of self-starting additive-pulse mode locking,” IEEE J. Quantum Electron. (to be published).

Carruthers, T. F.

Dahlström, L.

L. Dahlström, Opt. Commun. 5, 157 (1972).
[Crossref]

Duling, I. N.

Fan, T. Y.

Fujimoto, J. G.

Goodberlet, J.

Haus, H. A.

Ippen, E. P.

Isenor, N. R.

K. Sala, M. C. Richardson, N. R. Isenor, IEEE J. Quantum Electron. QE-13, 915 (1977).
[Crossref]

Jacobsen, J.

Jethwa, J.

K. A. Stankov, J. Jethwa, Opt. Commun. 66, 41 (1988).
[Crossref]

Krausz, F.

F. Krausz, Ch. Spielmann, T. Brabec, E. Wintner, A. J. Schmidt, Opt. Lett. 15, 1082 (1990).
[Crossref] [PubMed]

Ch. Spielmann, F. Krausz, T. Brabec, E. Wintner, A. J. Schmidt, “Experimental study of self-starting additive-pulse mode locking,” IEEE J. Quantum Electron. (to be published).

Kryukov, P. G.

P. G. Kryukov, V. S. Letokhov, IEEE J. Quantum Electron. QE-8, 776 (1972).

Letokhov, V. S.

P. G. Kryukov, V. S. Letokhov, IEEE J. Quantum Electron. QE-8, 776 (1972).

Liu, L. Y.

Ouellette, F.

F. Ouellette, M. Piche, Opt. Commun. 60, 99 (1986).
[Crossref]

Piche, M.

F. Ouellette, M. Piche, Opt. Commun. 60, 99 (1986).
[Crossref]

Richardson, M. C.

K. Sala, M. C. Richardson, N. R. Isenor, IEEE J. Quantum Electron. QE-13, 915 (1977).
[Crossref]

Sala, K.

K. Sala, M. C. Richardson, N. R. Isenor, IEEE J. Quantum Electron. QE-13, 915 (1977).
[Crossref]

Schmidt, A. J.

F. Krausz, Ch. Spielmann, T. Brabec, E. Wintner, A. J. Schmidt, Opt. Lett. 15, 1082 (1990).
[Crossref] [PubMed]

Ch. Spielmann, F. Krausz, T. Brabec, E. Wintner, A. J. Schmidt, “Experimental study of self-starting additive-pulse mode locking,” IEEE J. Quantum Electron. (to be published).

Schulz, P. A.

Spielmann, Ch.

F. Krausz, Ch. Spielmann, T. Brabec, E. Wintner, A. J. Schmidt, Opt. Lett. 15, 1082 (1990).
[Crossref] [PubMed]

Ch. Spielmann, F. Krausz, T. Brabec, E. Wintner, A. J. Schmidt, “Experimental study of self-starting additive-pulse mode locking,” IEEE J. Quantum Electron. (to be published).

Stankov, K. A.

K. A. Stankov, J. Jethwa, Opt. Commun. 66, 41 (1988).
[Crossref]

Wang, J.

Wintner, E.

F. Krausz, Ch. Spielmann, T. Brabec, E. Wintner, A. J. Schmidt, Opt. Lett. 15, 1082 (1990).
[Crossref] [PubMed]

Ch. Spielmann, F. Krausz, T. Brabec, E. Wintner, A. J. Schmidt, “Experimental study of self-starting additive-pulse mode locking,” IEEE J. Quantum Electron. (to be published).

IEEE J. Quantum Electron. (3)

K. Sala, M. C. Richardson, N. R. Isenor, IEEE J. Quantum Electron. QE-13, 915 (1977).
[Crossref]

H. A. Haus, IEEE J. Quantum Electron. QE-11, 736 (1975).
[Crossref]

P. G. Kryukov, V. S. Letokhov, IEEE J. Quantum Electron. QE-8, 776 (1972).

J. Opt. Soc. Am. B (1)

Opt. Commun. (3)

F. Ouellette, M. Piche, Opt. Commun. 60, 99 (1986).
[Crossref]

K. A. Stankov, J. Jethwa, Opt. Commun. 66, 41 (1988).
[Crossref]

L. Dahlström, Opt. Commun. 5, 157 (1972).
[Crossref]

Opt. Lett. (5)

Other (1)

Ch. Spielmann, F. Krausz, T. Brabec, E. Wintner, A. J. Schmidt, “Experimental study of self-starting additive-pulse mode locking,” IEEE J. Quantum Electron. (to be published).

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Figures (2)

Fig. 1
Fig. 1

Evolution of the normalized peak intensity sp/sp,i as a function of the slow time parameter T for different values of γ = τc/Tcrit at a fixed Tcrit.

Fig. 2
Fig. 2

Development of sp/sp,i for different values of γ (>1) at a fixed Tcrit. The dashed curves represent the effect of dispersion due to bandwidth limitation.

Equations (9)

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T v ( t , T ) = 1 2 T R ( g - l - q + D 2 t 2 ) v ( t , T ) ,
q ( t , T ) = - κ s ( t , T ) .
d s p d T = 1 T R [ ( κ - 1 2 α σ g 0 τ p ) s p - β 4 D τ p 2 - l 0 ] s p ,
d s p d T = κ T R s p 2 - s p τ c ,
s p ( T ) = s p , i γ + ( 1 - γ ) exp ( T / τ c ) ,
κ P i > 1 ln ( m i ) T R τ c ,
G k l ( τ ) = V k ( t ) V l * ( t ) V k * ( t + τ ) V l ( t + τ ) cos ω k l τ ,
P n ( ω ) = 1 π k - l = n - + G k l ( τ ) exp ( i ω τ ) d τ .
τ c = 1 π 1 Δ ν 3 dB ,

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