Abstract

The starting dynamics of the additive-pulse mode-locked Ti:Al2O3 laser are investigated. Mode locking develops from mode beating with pulse formation times of several hundred microseconds. A simple model based on additive-pulse mode-locking theory is developed that describes self-starting and pulse evolution.

© 1990 Optical Society of America

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References

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    [CrossRef]

1990 (6)

1989 (7)

1988 (3)

1986 (1)

F. Ouellette, M. Piché, Opt. Commun. 60, 99 (1986).
[CrossRef]

1985 (1)

H. A. Haus, J. Appl. Phys. 46, 3049 (1985).
[CrossRef]

1983 (1)

W. Krause, Opt. Commun. 48, 47 (1983).
[CrossRef]

1980 (1)

W. Rudolph, H. Weber, Opt. Commun. 34, 491 (1980).
[CrossRef]

Blow, K. J.

Brabec, T.

Chee, J. K.

Crust, D. W.

Fan, T. Y.

J. Goodberlet, J. Jacobson, J. G. Fujimoto, P. A. Schulz, T. Y. Fan, Opt. Lett. 15, 504 (1990).
[CrossRef] [PubMed]

J. Goodberlet, J. Jackson, J. G. Fujimoto, P. A. Schulz, T. Y. Fan, Ultrafast Phenomena, Vol. 7 of 1990 OSA Technical Digest Series (Optical Society of America, Washington, D.C., 1990), paper MA3.

French, P. M. W.

Fujimoto, J. G.

J. Goodberlet, J. Jacobson, J. G. Fujimoto, P. A. Schulz, T. Y. Fan, Opt. Lett. 15, 504 (1990).
[CrossRef] [PubMed]

J. Goodberlet, J. Wang, J. G. Fujimoto, P. A. Schulz, Opt. Lett. 14, 1125 (1989).
[CrossRef] [PubMed]

J. Goodberlet, J. Jackson, J. G. Fujimoto, P. A. Schulz, T. Y. Fan, Ultrafast Phenomena, Vol. 7 of 1990 OSA Technical Digest Series (Optical Society of America, Washington, D.C., 1990), paper MA3.

Goodberlet, J.

J. Goodberlet, J. Jacobson, J. G. Fujimoto, P. A. Schulz, T. Y. Fan, Opt. Lett. 15, 504 (1990).
[CrossRef] [PubMed]

J. Goodberlet, J. Wang, J. G. Fujimoto, P. A. Schulz, Opt. Lett. 14, 1125 (1989).
[CrossRef] [PubMed]

J. Goodberlet, J. Jackson, J. G. Fujimoto, P. A. Schulz, T. Y. Fan, Ultrafast Phenomena, Vol. 7 of 1990 OSA Technical Digest Series (Optical Society of America, Washington, D.C., 1990), paper MA3.

Grant, R. S.

Hall, K. L.

Haus, H. A.

Huxley, J. M.

Ippen, E. P.

Jackson, J.

J. Goodberlet, J. Jackson, J. G. Fujimoto, P. A. Schulz, T. Y. Fan, Ultrafast Phenomena, Vol. 7 of 1990 OSA Technical Digest Series (Optical Society of America, Washington, D.C., 1990), paper MA3.

Jacobson, J.

Kean, P. N.

Kelly, S. M. J.

Krause, W.

W. Krause, Opt. Commun. 48, 47 (1983).
[CrossRef]

Krausz, F.

Langford, N.

Liu, J. M.

Liu, L. Y.

Mark, J.

Nelson, B. P.

Ouellette, F.

F. Ouellette, M. Piché, J. Opt. Soc. Am. B 5, 1228 (1988).
[CrossRef]

F. Ouellette, M. Piché, Opt. Commun. 60, 99 (1986).
[CrossRef]

Piché, M.

F. Ouellette, M. Piché, J. Opt. Soc. Am. B 5, 1228 (1988).
[CrossRef]

F. Ouellette, M. Piché, Opt. Commun. 60, 99 (1986).
[CrossRef]

Pinto, J. F.

Pollock, C. R.

Rudolph, W.

W. Rudolph, H. Weber, Opt. Commun. 34, 491 (1980).
[CrossRef]

Schmidt, A. J.

Schulz, P. A.

J. Goodberlet, J. Jacobson, J. G. Fujimoto, P. A. Schulz, T. Y. Fan, Opt. Lett. 15, 504 (1990).
[CrossRef] [PubMed]

J. Goodberlet, J. Wang, J. G. Fujimoto, P. A. Schulz, Opt. Lett. 14, 1125 (1989).
[CrossRef] [PubMed]

J. Goodberlet, J. Jackson, J. G. Fujimoto, P. A. Schulz, T. Y. Fan, Ultrafast Phenomena, Vol. 7 of 1990 OSA Technical Digest Series (Optical Society of America, Washington, D.C., 1990), paper MA3.

Sibbett, W.

P. N. Kean, X. Zhu, D. W. Crust, R. S. Grant, N. Langford, W. Sibbett, Opt. Lett. 14, 39 (1989).
[CrossRef] [PubMed]

W. Sibbett, in Ultrafast Phenomena, Vol. 7 of 1990 OSA Technical Digest Series (Optical Society of America, Washington, D.C., 1990), paper MAI.

Siegman, A. E.

A. E. Siegman, Lasers (University Science Books, Mill Valley, Calif., 1986), pp. 1110–1113.

Spielmann, Ch.

Taylor, J. R.

Wang, J.

Weber, H.

W. Rudolph, H. Weber, Opt. Commun. 34, 491 (1980).
[CrossRef]

Williams, J. A. R.

Wintner, E.

Wood, D.

Yakymyshyn, C. P.

Zhu, X.

J. Appl. Phys. (1)

H. A. Haus, J. Appl. Phys. 46, 3049 (1985).
[CrossRef]

J. Opt. Soc. Am. B (3)

Opt. Commun. (4)

W. Rudolph, H. Weber, Opt. Commun. 34, 491 (1980).
[CrossRef]

W. Krause, Opt. Commun. 48, 47 (1983).
[CrossRef]

F. Ouellette, M. Piché, Opt. Commun. 60, 99 (1986).
[CrossRef]

S. M. J. Kelly, Opt. Commun. 70, 495 (1989).
[CrossRef]

Opt. Lett. (12)

Other (3)

J. Goodberlet, J. Jackson, J. G. Fujimoto, P. A. Schulz, T. Y. Fan, Ultrafast Phenomena, Vol. 7 of 1990 OSA Technical Digest Series (Optical Society of America, Washington, D.C., 1990), paper MA3.

W. Sibbett, in Ultrafast Phenomena, Vol. 7 of 1990 OSA Technical Digest Series (Optical Society of America, Washington, D.C., 1990), paper MAI.

A. E. Siegman, Lasers (University Science Books, Mill Valley, Calif., 1986), pp. 1110–1113.

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Figures (3)

Fig. 1
Fig. 1

Schematic of the Ti:Al2O3 laser. The main laser cavity is a folded X cavity containing a birefringent tuning plate (PLATE). The external cavity begins at output coupler Mo and terminates at the fiber end. A beam splitter BS reflects output from the main cavity into the optical fiber.

Fig. 2
Fig. 2

Starting dynamics showing short-pulse formation. The top trace displays cavity power during the starting process. The middle trace shows second-harmonic generation (SHG) intensity and indicates that picosecond pulses have formed. The lower trace is a measure of the real-time pulse train evolution with a fast photodiode. Hyperbolic behavior in time implies that the pulse duration shortens linearly in time.

Fig. 3
Fig. 3

Pulse evolution at different times after the external cavity is opened.

Equations (3)

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R nl ( ϕ , I ) = R ( ϕ , 0 ) + ( R ϕ ) ( ϕ I ) I .
δτ τ = η ( R ϕ ) ( ϕ I ) I ,
T s = T R [ n ( R ϕ ) ( ϕ I ) E p ] 1 τ i ,

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