Abstract

We study the starting dynamics of an all-normal-dispersion Yb-doped fiber laser experimentally and compare them to an existing stochastic model of starting from quantum noise. The laser reaches mode locking 10 to 100 times faster than a soliton laser with similar parameters. According to the model, the fast starting can be attributed to the large pulse energy in the normal-dispersion laser. We also report direct observations of starting from relaxation oscillations and discuss that process in light of the theory.

© 2010 Optical Society of America

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F. W. Wise, A. Chong, and W. H. Renninger, Laser & Photon. Rev. 2, 58 (2008).
[CrossRef]

W. H. Renninger, A. Chong, and F. W. Wise, Phys. Rev. A 77, 023814 (2008).
[CrossRef]

2006 (1)

2005 (1)

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A. K. Komarov, K. P. Komarov, and F. M. Mitschke, Phys. Rev. A. 65, 053803 (2002).
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J. M. Soto-Crespo, N. Akhmediev, and G. Town, J. Opt. Soc. Am. B 19, 234 (2002).
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D. Abraham, R. Nagar, V. Mikhelahsvili, and G. Eisenstein, Appl. Phys. Lett. 63, 2857 (1993).
[CrossRef]

1992 (1)

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1991 (2)

Ch. Spielman, F. Krausz, T. Brabec, E. Wintner, and A. J. Schmidt, IEEE J. Quantum Electron. 27, 1207 (1991).
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F. Krausz, T. Brabec, and Ch. Spielmann, Opt. Lett. 16, 235 (1991).
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1985 (1)

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D. Abraham, R. Nagar, V. Mikhelahsvili, and G. Eisenstein, Appl. Phys. Lett. 63, 2857 (1993).
[CrossRef]

Akhmediev, N.

Bekker, A.

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F. Krausz and T. Brabec, Opt. Lett. 18, 888 (1993).
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F. Krausz, M. E. Fermann, T. Brabec, P. F. Curley, M. Hofer, M. Ober, C. Spielmann, E. Wintner, and A. J. Schmidt, IEEE J. Quantum Electron. 28, 2097 (1992).
[CrossRef]

Ch. Spielman, F. Krausz, T. Brabec, E. Wintner, and A. J. Schmidt, IEEE J. Quantum Electron. 27, 1207 (1991).
[CrossRef]

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

Budunog~lu, I. L.

Chen, C. J.

Chong, A.

W. H. Renninger, A. Chong, and F. W. Wise, Phys. Rev. A 77, 023814 (2008).
[CrossRef]

F. W. Wise, A. Chong, and W. H. Renninger, Laser & Photon. Rev. 2, 58 (2008).
[CrossRef]

Chou, Y.-F.

Curley, P. F.

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

Eisenstein, G.

D. Abraham, R. Nagar, V. Mikhelahsvili, and G. Eisenstein, Appl. Phys. Lett. 63, 2857 (1993).
[CrossRef]

Fermann, M. E.

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

Fischer, B.

French, P. M. W.

J. A. R. Williams, P. M. W. French, and J. R. Taylor, IEEE J. Quantum Electron. 26, 1434 (1990).
[CrossRef]

Fujimoto, J. G.

Gat, O.

Goodberlet, J.

Gordon, A.

Haus, H. A.

Hermann, J.

J. Hermann, Opt. Commun. 98, 111 (1993).
[CrossRef]

Hofer, M.

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

Ilday, F. Ö.

Ippen, E. P.

Kärtner, F.

Komarov, A. K.

A. K. Komarov, K. P. Komarov, and F. M. Mitschke, Phys. Rev. A. 65, 053803 (2002).
[CrossRef]

Komarov, K. P.

A. K. Komarov, K. P. Komarov, and F. M. Mitschke, Phys. Rev. A. 65, 053803 (2002).
[CrossRef]

Krausz, F.

F. Krausz and T. Brabec, Opt. Lett. 18, 888 (1993).
[CrossRef] [PubMed]

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

Ch. Spielman, F. Krausz, T. Brabec, E. Wintner, and A. J. Schmidt, IEEE J. Quantum Electron. 27, 1207 (1991).
[CrossRef]

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

Kuo, N.-P.

Lim, H.

Liu, H.-H.

Liu, L. Y.

Menyuk, C. R.

Mikhelahsvili, V.

D. Abraham, R. Nagar, V. Mikhelahsvili, and G. Eisenstein, Appl. Phys. Lett. 63, 2857 (1993).
[CrossRef]

Mitschke, F. M.

A. K. Komarov, K. P. Komarov, and F. M. Mitschke, Phys. Rev. A. 65, 053803 (2002).
[CrossRef]

Nagar, R.

D. Abraham, R. Nagar, V. Mikhelahsvili, and G. Eisenstein, Appl. Phys. Lett. 63, 2857 (1993).
[CrossRef]

Ober, M.

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

Oktem, B.

Renninger, W. H.

W. H. Renninger, A. Chong, and F. W. Wise, Phys. Rev. A 77, 023814 (2008).
[CrossRef]

F. W. Wise, A. Chong, and W. H. Renninger, Laser & Photon. Rev. 2, 58 (2008).
[CrossRef]

Roy, R.

R. Roy, A. W. Yu, and S. Zhu, Phys. Rev. Lett. 55, 2794 (1985).
[CrossRef] [PubMed]

Schmidt, A. J.

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

Ch. Spielman, F. Krausz, T. Brabec, E. Wintner, and A. J. Schmidt, IEEE J. Quantum Electron. 27, 1207 (1991).
[CrossRef]

Schulz, P. A.

Siegman, A. E.

A. E. Siegman, Lasers (Oxford U. Press, 1986).

Smulakovsky, V.

Soto-Crespo, J. M.

Spielman, Ch.

Ch. Spielman, F. Krausz, T. Brabec, E. Wintner, and A. J. Schmidt, IEEE J. Quantum Electron. 27, 1207 (1991).
[CrossRef]

Spielmann, C.

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

Spielmann, Ch.

Taylor, J. R.

J. A. R. Williams, P. M. W. French, and J. R. Taylor, IEEE J. Quantum Electron. 26, 1434 (1990).
[CrossRef]

Town, G.

Ülgüdür, C.

Vodonos, B.

Wai, P. K. A.

Wang, J.

Williams, J. A. R.

J. A. R. Williams, P. M. W. French, and J. R. Taylor, IEEE J. Quantum Electron. 26, 1434 (1990).
[CrossRef]

Wintner, E.

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

Ch. Spielman, F. Krausz, T. Brabec, E. Wintner, and A. J. Schmidt, IEEE J. Quantum Electron. 27, 1207 (1991).
[CrossRef]

Wise, F. W.

F. W. Wise, A. Chong, and W. H. Renninger, Laser & Photon. Rev. 2, 58 (2008).
[CrossRef]

W. H. Renninger, A. Chong, and F. W. Wise, Phys. Rev. A 77, 023814 (2008).
[CrossRef]

H. Lim, F. Ö. Ilday, and F. W. Wise, Opt. Lett. 28, 660 (2003).
[CrossRef] [PubMed]

Yu, A. W.

R. Roy, A. W. Yu, and S. Zhu, Phys. Rev. Lett. 55, 2794 (1985).
[CrossRef] [PubMed]

Zhu, S.

R. Roy, A. W. Yu, and S. Zhu, Phys. Rev. Lett. 55, 2794 (1985).
[CrossRef] [PubMed]

Appl. Phys. Lett. (1)

D. Abraham, R. Nagar, V. Mikhelahsvili, and G. Eisenstein, Appl. Phys. Lett. 63, 2857 (1993).
[CrossRef]

IEEE J. Quantum Electron. (3)

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

Ch. Spielman, F. Krausz, T. Brabec, E. Wintner, and A. J. Schmidt, IEEE J. Quantum Electron. 27, 1207 (1991).
[CrossRef]

J. A. R. Williams, P. M. W. French, and J. R. Taylor, IEEE J. Quantum Electron. 26, 1434 (1990).
[CrossRef]

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

Laser & Photon. Rev. (1)

F. W. Wise, A. Chong, and W. H. Renninger, Laser & Photon. Rev. 2, 58 (2008).
[CrossRef]

Opt. Commun. (1)

J. Hermann, Opt. Commun. 98, 111 (1993).
[CrossRef]

Opt. Express (1)

Opt. Lett. (9)

Phys. Rev. A (1)

W. H. Renninger, A. Chong, and F. W. Wise, Phys. Rev. A 77, 023814 (2008).
[CrossRef]

Phys. Rev. A. (1)

A. K. Komarov, K. P. Komarov, and F. M. Mitschke, Phys. Rev. A. 65, 053803 (2002).
[CrossRef]

Phys. Rev. Lett. (1)

R. Roy, A. W. Yu, and S. Zhu, Phys. Rev. Lett. 55, 2794 (1985).
[CrossRef] [PubMed]

Other (1)

A. E. Siegman, Lasers (Oxford U. Press, 1986).

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Figures (3)

Fig. 1
Fig. 1

Results from soliton laser: (a) spectrum, (b) pulse energy and two-photon absorption traces, (c) start time histogram and exponential fit, (d) peak fluctuation interval histogram and exponential fit. The peak intervals are the time intervals between peaks P1, P2, and P3 in Fig. 1b. Peak positions are defined as where the peaks start.

Fig. 2
Fig. 2

Results from ANDi laser: (a) spectrum, (b) pulse energy and two-photon absorption traces, (c) start time histogram and exponential fit, (d) peak interval histogram and exponential fit, (e) intracavity energy versus start time, fitted by the model in [16], and (f) intracavity energy versus peak interval and exponential fit.

Fig. 3
Fig. 3

Results that show relaxation oscillations. (a) spectrum, (b) pulse energy and two-photon absorption traces, (c) peak interval histogram and Gaussian fit, (d) start time and peak position histograms, and best-fit exponentially-decaying sinusoid, (e) intracavity energy versus oscillation period. Symbols are measured and line is model of [20], with parameters K 10 3 , N 5 × 10 8 , γ c × 10 to 50 ns , γ 2 2.3 ms for each cavity mode, r 2 to 20, [20], and (f) intracavity energy versus start time and best-fit model in [16].

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