Abstract

We study solid-state laser mode locking in the self-induced transparency regime of an intracavity absorber. Depending on the absorber dephasing, pulse energy, and resonator dispersion, we find stable coherent 2π-pulse operation, pulse splitting, oscillatory pulse shapes, and smooth transition to incoherent saturable-absorber mode locking.

© 1998 Optical Society of America

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References

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  1. S. Tsuda, W. H. Knox, E. A. de Souza, W. Y. Jan, and J. E. Cunningham, Opt. Lett. 20, 1406 (1995).
    [CrossRef] [PubMed]
  2. I. D. Jung, F. X. Kärtner, N. Matuschek, D. H. Sutter, F. Morier-Genoud, G. Zhang, U. Keller, V. Scheuer, M. Tilsch, and T. Tschudi, Opt. Lett. 22, 1009 (1997).
    [CrossRef] [PubMed]
  3. J. Aus der Au, D. Kopf, F. Morier-Genoud, M. Moser, and U. Keller, Opt. Lett. 22, 307 (1997).
    [CrossRef]
  4. J. Y. Bigot, M. T. Portella, R. W. Schoenlein, J. E. Cunningham, and C. V. Shank, Phys. Rev. Lett. 67, 636 (1991); Th. Elsässer, J. Shah, L. Rota, and P. Lugli, Phys. Rev. Lett. 66, 1757 (1991).
    [CrossRef] [PubMed]
  5. H. A. Haus, J. Appl. Phys. 46, 3049 (1975).
    [CrossRef]
  6. H. A. Haus, IEEE J. Quantum Electron. QE-13, 736 (1975).
    [CrossRef]
  7. F. X. Kärtner and U. Keller, Opt. Lett. 20, 16 (1995).
    [CrossRef]
  8. J. Herrmann and M. Müller, Opt. Lett. 20, 994 (1995).
    [CrossRef]
  9. L. Allen and J. H. Eberly, Optical Resonance and Two-Level Atoms (Wiley, New York, 1975).
  10. K. P. Komarov and V. D. Ugozhaev, Sov. J. Quantum Electron. 14, 787 (1984).
    [CrossRef]
  11. M. G. Benedict and E. D. Trifonov, Phys. Rev. A 38, 2854 (1988).
    [CrossRef] [PubMed]
  12. J. Herrmann, V. P. Kalosha, and M. Müller, Opt. Lett. 22, 236 (1997).
    [CrossRef] [PubMed]
  13. S. L. McCall and E. Hahn, Phys. Rev. Lett. 18, 908 (1967).
    [CrossRef]
  14. M. Nakazawa, E. Yamada, and H. Kubota, Phys. Rev. Lett. 66, 2625 (1991).
    [CrossRef] [PubMed]
  15. V. V. Prudskikh, Tech. Phys. 39, 190 (1994).

1997

1995

1994

V. V. Prudskikh, Tech. Phys. 39, 190 (1994).

1991

M. Nakazawa, E. Yamada, and H. Kubota, Phys. Rev. Lett. 66, 2625 (1991).
[CrossRef] [PubMed]

J. Y. Bigot, M. T. Portella, R. W. Schoenlein, J. E. Cunningham, and C. V. Shank, Phys. Rev. Lett. 67, 636 (1991); Th. Elsässer, J. Shah, L. Rota, and P. Lugli, Phys. Rev. Lett. 66, 1757 (1991).
[CrossRef] [PubMed]

1988

M. G. Benedict and E. D. Trifonov, Phys. Rev. A 38, 2854 (1988).
[CrossRef] [PubMed]

1984

K. P. Komarov and V. D. Ugozhaev, Sov. J. Quantum Electron. 14, 787 (1984).
[CrossRef]

1975

H. A. Haus, J. Appl. Phys. 46, 3049 (1975).
[CrossRef]

H. A. Haus, IEEE J. Quantum Electron. QE-13, 736 (1975).
[CrossRef]

1967

S. L. McCall and E. Hahn, Phys. Rev. Lett. 18, 908 (1967).
[CrossRef]

Allen, L.

L. Allen and J. H. Eberly, Optical Resonance and Two-Level Atoms (Wiley, New York, 1975).

Aus der Au, J.

Benedict, M. G.

M. G. Benedict and E. D. Trifonov, Phys. Rev. A 38, 2854 (1988).
[CrossRef] [PubMed]

Bigot, J. Y.

J. Y. Bigot, M. T. Portella, R. W. Schoenlein, J. E. Cunningham, and C. V. Shank, Phys. Rev. Lett. 67, 636 (1991); Th. Elsässer, J. Shah, L. Rota, and P. Lugli, Phys. Rev. Lett. 66, 1757 (1991).
[CrossRef] [PubMed]

Cunningham, J. E.

S. Tsuda, W. H. Knox, E. A. de Souza, W. Y. Jan, and J. E. Cunningham, Opt. Lett. 20, 1406 (1995).
[CrossRef] [PubMed]

J. Y. Bigot, M. T. Portella, R. W. Schoenlein, J. E. Cunningham, and C. V. Shank, Phys. Rev. Lett. 67, 636 (1991); Th. Elsässer, J. Shah, L. Rota, and P. Lugli, Phys. Rev. Lett. 66, 1757 (1991).
[CrossRef] [PubMed]

de Souza, E. A.

Eberly, J. H.

L. Allen and J. H. Eberly, Optical Resonance and Two-Level Atoms (Wiley, New York, 1975).

Hahn, E.

S. L. McCall and E. Hahn, Phys. Rev. Lett. 18, 908 (1967).
[CrossRef]

Haus, H. A.

H. A. Haus, IEEE J. Quantum Electron. QE-13, 736 (1975).
[CrossRef]

H. A. Haus, J. Appl. Phys. 46, 3049 (1975).
[CrossRef]

Herrmann, J.

Jan, W. Y.

Jung, I. D.

Kalosha, V. P.

Kärtner, F. X.

Keller, U.

Knox, W. H.

Komarov, K. P.

K. P. Komarov and V. D. Ugozhaev, Sov. J. Quantum Electron. 14, 787 (1984).
[CrossRef]

Kopf, D.

Kubota, H.

M. Nakazawa, E. Yamada, and H. Kubota, Phys. Rev. Lett. 66, 2625 (1991).
[CrossRef] [PubMed]

Matuschek, N.

McCall, S. L.

S. L. McCall and E. Hahn, Phys. Rev. Lett. 18, 908 (1967).
[CrossRef]

Morier-Genoud, F.

Moser, M.

Müller, M.

Nakazawa, M.

M. Nakazawa, E. Yamada, and H. Kubota, Phys. Rev. Lett. 66, 2625 (1991).
[CrossRef] [PubMed]

Portella, M. T.

J. Y. Bigot, M. T. Portella, R. W. Schoenlein, J. E. Cunningham, and C. V. Shank, Phys. Rev. Lett. 67, 636 (1991); Th. Elsässer, J. Shah, L. Rota, and P. Lugli, Phys. Rev. Lett. 66, 1757 (1991).
[CrossRef] [PubMed]

Prudskikh, V. V.

V. V. Prudskikh, Tech. Phys. 39, 190 (1994).

Scheuer, V.

Schoenlein, R. W.

J. Y. Bigot, M. T. Portella, R. W. Schoenlein, J. E. Cunningham, and C. V. Shank, Phys. Rev. Lett. 67, 636 (1991); Th. Elsässer, J. Shah, L. Rota, and P. Lugli, Phys. Rev. Lett. 66, 1757 (1991).
[CrossRef] [PubMed]

Shank, C. V.

J. Y. Bigot, M. T. Portella, R. W. Schoenlein, J. E. Cunningham, and C. V. Shank, Phys. Rev. Lett. 67, 636 (1991); Th. Elsässer, J. Shah, L. Rota, and P. Lugli, Phys. Rev. Lett. 66, 1757 (1991).
[CrossRef] [PubMed]

Sutter, D. H.

Tilsch, M.

Trifonov, E. D.

M. G. Benedict and E. D. Trifonov, Phys. Rev. A 38, 2854 (1988).
[CrossRef] [PubMed]

Tschudi, T.

Tsuda, S.

Ugozhaev, V. D.

K. P. Komarov and V. D. Ugozhaev, Sov. J. Quantum Electron. 14, 787 (1984).
[CrossRef]

Yamada, E.

M. Nakazawa, E. Yamada, and H. Kubota, Phys. Rev. Lett. 66, 2625 (1991).
[CrossRef] [PubMed]

Zhang, G.

IEEE J. Quantum Electron.

H. A. Haus, IEEE J. Quantum Electron. QE-13, 736 (1975).
[CrossRef]

J. Appl. Phys.

H. A. Haus, J. Appl. Phys. 46, 3049 (1975).
[CrossRef]

Opt. Lett.

Phys. Rev. A

M. G. Benedict and E. D. Trifonov, Phys. Rev. A 38, 2854 (1988).
[CrossRef] [PubMed]

Phys. Rev. Lett.

S. L. McCall and E. Hahn, Phys. Rev. Lett. 18, 908 (1967).
[CrossRef]

M. Nakazawa, E. Yamada, and H. Kubota, Phys. Rev. Lett. 66, 2625 (1991).
[CrossRef] [PubMed]

J. Y. Bigot, M. T. Portella, R. W. Schoenlein, J. E. Cunningham, and C. V. Shank, Phys. Rev. Lett. 67, 636 (1991); Th. Elsässer, J. Shah, L. Rota, and P. Lugli, Phys. Rev. Lett. 66, 1757 (1991).
[CrossRef] [PubMed]

Sov. J. Quantum Electron.

K. P. Komarov and V. D. Ugozhaev, Sov. J. Quantum Electron. 14, 787 (1984).
[CrossRef]

Tech. Phys.

V. V. Prudskikh, Tech. Phys. 39, 190 (1994).

Other

L. Allen and J. H. Eberly, Optical Resonance and Two-Level Atoms (Wiley, New York, 1975).

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Figures (2)

Fig. 1
Fig. 1

Steady-state pulse duration and intrinsic pulse area versus energy for pure coherent-absorber mode locking and different dephasing times T2: 1, 200  fs; 2, 25  fs; 3, 10  fs; 4, 5  fs. The other absorber parameters are T1=100 fs and TR=1 ps, and the laser parameters are Ts=32 fs, Tf=2.5 fs, and Γ=3.6%. These laser and absorber parameters correspond to those in Ref.  2. The dotted lines symbolize the transitions to pulse splitting.

Fig. 2
Fig. 2

Steady-state pulse duration versus pulse energy for different dispersions: T1=100 fs, T2=50 fs, and TR=1 ps. Dispersion D: 1, -6.25 fs2; 2, -9.375 fs2; 3, -12.5 fs2; 4, -18.75 fs2. The laser parameters are the same as in Fig.  1, and κ/Tf2=n2I0LgωL/c=0.9 π, Lg=1 mm, n2=3.2×10-16 cm2/W, and I0=1.2 TW/cm2, as in Ref.  2. Dashed curve, without phase effects. The insets show intrinsic pulse intensity in units of I0 (solid curves) and inversion (dotted curves) at the marked points (a–d) on the curves below and in the double-pulse regime (e) without phase effects at an energy beyond the end of the dashed curve. Note the different time and intensity scales.

Equations (6)

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

Ωreft=RΩint-i1+RptTR,
Ωintrt=Ωint+Ωreft,
dpdt+pT2=iΩintrw,
dwdt+w+1T1=i2pΩintr*-p*Ωintr,
ddKΩKt=gTf-texp-t-tTfΩKtdt-ΓΩKt-iκΩKt2ΩKt+iDd2dt2ΩKt,
12ddtΘ=TˆτpsinΘ2-1+2TˆTRsin Θ.

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