Abstract

We present a novel interpretation of Kerr lens mode locking based on the Z-scan operating principle and derive a few practical criteria for application to mode-locked solid-state laser systems.

© 1993 Optical Society of America

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Corrections

A. Agnesi and G. C. Reali, "Exploiting the Z-scan method for mode-locked laser design: errata," Opt. Lett. 19, 359-359 (1994)
https://www.osapublishing.org/ol/abstract.cfm?uri=ol-19-5-359

References

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  1. M. Sheik-Bahae, A. A. Said, E. W. Van Stryland, Opt. Lett. 14, 955 (1989).
    [Crossref] [PubMed]
  2. R. DeSalvo, D. J. Hagan, M. Sheik-Bahae, G. Stegeman, E. W. Van Stryland, H. Vanherzeele, Opt. Lett. 17, 28 (1992).
    [Crossref] [PubMed]
  3. M. Sheik-Bahae, A. A. Said, T. H. Wei, D. J. Hagan, E. W. Van Stryland, IEEE J. Quantum Electron. 26, 760 (1990).
    [Crossref]
  4. J. Wang, M. Sheik-Bahae, A. A. Said, D. J. Hagan, E. W. Van Stryland, presented at XVIII International Quantum Electronics Conference, Vienna, 1992, paper THD3.
  5. M. Sheik-Bahae, R. DeSalvo, D. J. Hagan, E. W. Van Stryland, Opt. Lett. 17, 258 (1992).
    [Crossref] [PubMed]
  6. A. Agnesi, G. C. Reali, A. Tomaselli, Opt. Lett. 17, 1764 (1992).
    [Crossref] [PubMed]
  7. F. Krausz, M. E. Fermann, T. Brabec, P. F. Curley, M. Hofer, M. H. Ober, C. Spielmann, E. Wintner, A. J. Schmidt, IEEE J. Quantum Electron. 28, 2097 (1992).
    [Crossref]
  8. W. S. Pelouch, P. E. Powers, C. L. Tang, Opt. Lett. 17, 1581 (1992).
    [Crossref] [PubMed]
  9. D. Huang, M. Morrison, L. H. Aciolo, H. A. Haus, J. G. Fujimoto, Opt. Lett. 17, 511 (1992).
    [Crossref] [PubMed]
  10. F. Krausz, T. Brabec, Ch. Spielmann, Opt. Lett. 16, 235 (1991).
    [Crossref] [PubMed]
  11. E. P. Ippen, L. Y. Liu, H. A. Haus, Opt. Lett. 15, 83 (1990).
    [Crossref]
  12. P. G. Kryukov, V. S. Letokhov, IEEE J. QuantumElectron. QE-8, 766 (1972).
    [Crossref]
  13. H. S. Haus, E. P. Ippen, Opt. Lett. 16, 1331 (1991).
    [Crossref] [PubMed]

1992 (6)

1991 (2)

1990 (2)

E. P. Ippen, L. Y. Liu, H. A. Haus, Opt. Lett. 15, 83 (1990).
[Crossref]

M. Sheik-Bahae, A. A. Said, T. H. Wei, D. J. Hagan, E. W. Van Stryland, IEEE J. Quantum Electron. 26, 760 (1990).
[Crossref]

1989 (1)

1972 (1)

P. G. Kryukov, V. S. Letokhov, IEEE J. QuantumElectron. QE-8, 766 (1972).
[Crossref]

Aciolo, L. H.

Agnesi, A.

Brabec, T.

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

F. Krausz, T. Brabec, Ch. Spielmann, Opt. Lett. 16, 235 (1991).
[Crossref] [PubMed]

Curley, P. F.

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

DeSalvo, R.

Fermann, M. E.

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

Fujimoto, J. G.

Hagan, D. J.

M. Sheik-Bahae, R. DeSalvo, D. J. Hagan, E. W. Van Stryland, Opt. Lett. 17, 258 (1992).
[Crossref] [PubMed]

R. DeSalvo, D. J. Hagan, M. Sheik-Bahae, G. Stegeman, E. W. Van Stryland, H. Vanherzeele, Opt. Lett. 17, 28 (1992).
[Crossref] [PubMed]

M. Sheik-Bahae, A. A. Said, T. H. Wei, D. J. Hagan, E. W. Van Stryland, IEEE J. Quantum Electron. 26, 760 (1990).
[Crossref]

J. Wang, M. Sheik-Bahae, A. A. Said, D. J. Hagan, E. W. Van Stryland, presented at XVIII International Quantum Electronics Conference, Vienna, 1992, paper THD3.

Haus, H. A.

Haus, H. S.

Hofer, M.

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

Huang, D.

Ippen, E. P.

H. S. Haus, E. P. Ippen, Opt. Lett. 16, 1331 (1991).
[Crossref] [PubMed]

E. P. Ippen, L. Y. Liu, H. A. Haus, Opt. Lett. 15, 83 (1990).
[Crossref]

Krausz, F.

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

F. Krausz, T. Brabec, Ch. Spielmann, Opt. Lett. 16, 235 (1991).
[Crossref] [PubMed]

Kryukov, P. G.

P. G. Kryukov, V. S. Letokhov, IEEE J. QuantumElectron. QE-8, 766 (1972).
[Crossref]

Letokhov, V. S.

P. G. Kryukov, V. S. Letokhov, IEEE J. QuantumElectron. QE-8, 766 (1972).
[Crossref]

Liu, L. Y.

E. P. Ippen, L. Y. Liu, H. A. Haus, Opt. Lett. 15, 83 (1990).
[Crossref]

Morrison, M.

Ober, M. H.

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

Pelouch, W. S.

Powers, P. E.

Reali, G. C.

Said, A. A.

M. Sheik-Bahae, A. A. Said, T. H. Wei, D. J. Hagan, E. W. Van Stryland, IEEE J. Quantum Electron. 26, 760 (1990).
[Crossref]

M. Sheik-Bahae, A. A. Said, E. W. Van Stryland, Opt. Lett. 14, 955 (1989).
[Crossref] [PubMed]

J. Wang, M. Sheik-Bahae, A. A. Said, D. J. Hagan, E. W. Van Stryland, presented at XVIII International Quantum Electronics Conference, Vienna, 1992, paper THD3.

Schmidt, A. J.

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

Sheik-Bahae, M.

R. DeSalvo, D. J. Hagan, M. Sheik-Bahae, G. Stegeman, E. W. Van Stryland, H. Vanherzeele, Opt. Lett. 17, 28 (1992).
[Crossref] [PubMed]

M. Sheik-Bahae, R. DeSalvo, D. J. Hagan, E. W. Van Stryland, Opt. Lett. 17, 258 (1992).
[Crossref] [PubMed]

M. Sheik-Bahae, A. A. Said, T. H. Wei, D. J. Hagan, E. W. Van Stryland, IEEE J. Quantum Electron. 26, 760 (1990).
[Crossref]

M. Sheik-Bahae, A. A. Said, E. W. Van Stryland, Opt. Lett. 14, 955 (1989).
[Crossref] [PubMed]

J. Wang, M. Sheik-Bahae, A. A. Said, D. J. Hagan, E. W. Van Stryland, presented at XVIII International Quantum Electronics Conference, Vienna, 1992, paper THD3.

Spielmann, C.

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

Spielmann, Ch.

Stegeman, G.

Tang, C. L.

Tomaselli, A.

Van Stryland, E. W.

M. Sheik-Bahae, R. DeSalvo, D. J. Hagan, E. W. Van Stryland, Opt. Lett. 17, 258 (1992).
[Crossref] [PubMed]

R. DeSalvo, D. J. Hagan, M. Sheik-Bahae, G. Stegeman, E. W. Van Stryland, H. Vanherzeele, Opt. Lett. 17, 28 (1992).
[Crossref] [PubMed]

M. Sheik-Bahae, A. A. Said, T. H. Wei, D. J. Hagan, E. W. Van Stryland, IEEE J. Quantum Electron. 26, 760 (1990).
[Crossref]

M. Sheik-Bahae, A. A. Said, E. W. Van Stryland, Opt. Lett. 14, 955 (1989).
[Crossref] [PubMed]

J. Wang, M. Sheik-Bahae, A. A. Said, D. J. Hagan, E. W. Van Stryland, presented at XVIII International Quantum Electronics Conference, Vienna, 1992, paper THD3.

Vanherzeele, H.

Wang, J.

J. Wang, M. Sheik-Bahae, A. A. Said, D. J. Hagan, E. W. Van Stryland, presented at XVIII International Quantum Electronics Conference, Vienna, 1992, paper THD3.

Wei, T. H.

M. Sheik-Bahae, A. A. Said, T. H. Wei, D. J. Hagan, E. W. Van Stryland, IEEE J. Quantum Electron. 26, 760 (1990).
[Crossref]

Wintner, E.

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

IEEE J. Quantum Electron. (2)

M. Sheik-Bahae, A. A. Said, T. H. Wei, D. J. Hagan, E. W. Van Stryland, IEEE J. Quantum Electron. 26, 760 (1990).
[Crossref]

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

IEEE J. QuantumElectron. (1)

P. G. Kryukov, V. S. Letokhov, IEEE J. QuantumElectron. QE-8, 766 (1972).
[Crossref]

Opt. Lett. (9)

Other (1)

J. Wang, M. Sheik-Bahae, A. A. Said, D. J. Hagan, E. W. Van Stryland, presented at XVIII International Quantum Electronics Conference, Vienna, 1992, paper THD3.

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Figures (2)

Fig. 1
Fig. 1

Ring-cavity setup. Ml – M4, cavity mirrors; PH, pinhole; S, Kerr nonlinear sample; A, amplifier. The pulses are emitted along direction 1 if n2z0 > 0, whereas direction 2 is selected if n2z0 > 0

Fig. 2
Fig. 2

(a) Normalized transmission change of a Gaussian TEM00 mode through the aperture as a function of the relative aperture size a = aPH/wPH (wPH is the unperturbed beam radius at the pinhole position). The function ϕ(S) (thick curve) is compared with its low-S best fit, (1 − S)1/4 (dashed curve). The linear transmission function S(a) = 1 − exp(−2a2) (thin curve) is also shown. (b) The computed distance between the extremal values of the Z-scan curve Δzpv as a function of the relative aperture size a.

Equations (7)

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Δ n = n 2 h ν s ( t ) ,
Δ T 0.203 ( 1 - S ) 1 / 4 Δ Φ 0 C h ν s ( t ) ,
z 0 = ± 0.86 z R
k - 1 2 α σ g 0 τ p > 0 ,
P th π ω 0 2 T R C τ c ln ( m i ) .
n 2 0.12 ζ g 0 τ p λ 2 ϕ ( S ) J s w g 2 ,
P th 0.8 ζ T R λ 2 ϕ ( S ) τ c n 2 ln ( m i ) ,

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