Abstract

We present results of an experimental study of the timing and phase dynamics in a mode-locked Ti:sapphire laser. By measuring the response of two widely spaced comb lines to a sinusoidal modulation of the pump power, we determine quantitatively the response of both the central pulse time and the phase. Because of the distinct response of the pulse energy, central frequency, and gain to the modulation, we are able to distinguish their contributions to the timing and phase dynamics.

© 2007 Optical Society of America

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References

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  1. D. J. Jones, S. A. Diddams, J. K. Ranka, A. Stentz, R. S. Windeler, J. L. Hall, and S. T. Cundiff, Science 288, 635 (2000).
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  3. M. M. Boyd, T. Zelevinsky, A. D. Ludlow, S. M. Foreman, S. Blatt, T. Ido, and J. Ye, Science 314, 1430 (2006).
    [CrossRef] [PubMed]
  4. B. R. Washburn, W. C. Swann, and N. R. Newbury, Opt. Express 13, 10622 (2005).
    [CrossRef] [PubMed]
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    [CrossRef]
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    [CrossRef] [PubMed]
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    [CrossRef]
  11. F. X. Kärtner, U. Morgner, T. Schibli, R. Ell, H. A. Haus, J. G. Fujimoto, and E. P. Ippen, in Few-Cycle Laser Pulse Generation and Its Applications, F.X.Kärtner, ed., Topics in Applied Physics (Springer, 2004), pp. 73-135.
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  14. M. J. Ablowitz, B. Ilan, and S. T. Cundiff, Opt. Lett. 29, 1808 (2004).
    [CrossRef] [PubMed]
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    [CrossRef]
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    [CrossRef]

2007 (1)

2006 (2)

L. Matos, O. D. Mücke, J. Chen, and F. X. Kärtner, Opt. Express 14, 2497 (2006).
[CrossRef] [PubMed]

M. M. Boyd, T. Zelevinsky, A. D. Ludlow, S. M. Foreman, S. Blatt, T. Ido, and J. Ye, Science 314, 1430 (2006).
[CrossRef] [PubMed]

2005 (2)

B. R. Washburn, W. C. Swann, and N. R. Newbury, Opt. Express 13, 10622 (2005).
[CrossRef] [PubMed]

N. R. Newbury and B. R. Washburn, IEEE J. Quantum Electron. 41, 1388 (2005).
[CrossRef]

2004 (2)

Y. Takushima, H. Sotobayashi, M. E. Grein, E. P. Ippen, and H. A. Haus, Proc. SPIE 5595, 213 (2004).
[CrossRef]

M. J. Ablowitz, B. Ilan, and S. T. Cundiff, Opt. Lett. 29, 1808 (2004).
[CrossRef] [PubMed]

2003 (1)

K. W. Holman, R. J. Jones, A. Marian, S. T. Cundiff, and J. Ye, IEEE J. Sel. Top. Quantum Electron. 9, 1018 (2003).
[CrossRef]

2002 (2)

2001 (2)

H. A. Haus and E. P. Ippen, Opt. Lett. 26, 1654 (2001).
[CrossRef]

A. Poppe, R. Holzwarth, A. Apolonski, G. Tempea, Ch. Spielmann, T. W. Hänsch, and F. Krausz, Appl. Phys. 72, 373 (2001).
[CrossRef]

2000 (1)

D. J. Jones, S. A. Diddams, J. K. Ranka, A. Stentz, R. S. Windeler, J. L. Hall, and S. T. Cundiff, Science 288, 635 (2000).
[CrossRef] [PubMed]

1993 (1)

H. A. Haus and A. Mecozzi, IEEE J. Quantum Electron. 29, 983 (1993).
[CrossRef]

1958 (1)

A. L. Schawlow and C. H. Townes, Phys. Rev. 112, 1940 (1958).
[CrossRef]

Appl. Phys. (1)

A. Poppe, R. Holzwarth, A. Apolonski, G. Tempea, Ch. Spielmann, T. W. Hänsch, and F. Krausz, Appl. Phys. 72, 373 (2001).
[CrossRef]

IEEE J. Quantum Electron. (2)

N. R. Newbury and B. R. Washburn, IEEE J. Quantum Electron. 41, 1388 (2005).
[CrossRef]

H. A. Haus and A. Mecozzi, IEEE J. Quantum Electron. 29, 983 (1993).
[CrossRef]

IEEE J. Sel. Top. Quantum Electron. (1)

K. W. Holman, R. J. Jones, A. Marian, S. T. Cundiff, and J. Ye, IEEE J. Sel. Top. Quantum Electron. 9, 1018 (2003).
[CrossRef]

Nature (1)

Th. Udem, R. Holzwarth, and T. W. Hänsch, Nature 416, 233 (2002).
[CrossRef] [PubMed]

Opt. Express (3)

Opt. Lett. (3)

Phys. Rev. (1)

A. L. Schawlow and C. H. Townes, Phys. Rev. 112, 1940 (1958).
[CrossRef]

Proc. SPIE (1)

Y. Takushima, H. Sotobayashi, M. E. Grein, E. P. Ippen, and H. A. Haus, Proc. SPIE 5595, 213 (2004).
[CrossRef]

Science (2)

D. J. Jones, S. A. Diddams, J. K. Ranka, A. Stentz, R. S. Windeler, J. L. Hall, and S. T. Cundiff, Science 288, 635 (2000).
[CrossRef] [PubMed]

M. M. Boyd, T. Zelevinsky, A. D. Ludlow, S. M. Foreman, S. Blatt, T. Ido, and J. Ye, Science 314, 1430 (2006).
[CrossRef] [PubMed]

Other (1)

F. X. Kärtner, U. Morgner, T. Schibli, R. Ell, H. A. Haus, J. G. Fujimoto, and E. P. Ippen, in Few-Cycle Laser Pulse Generation and Its Applications, F.X.Kärtner, ed., Topics in Applied Physics (Springer, 2004), pp. 73-135.

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Figures (1)

Fig. 1
Fig. 1

Experimental results for (a) pulse energy w, (b) central frequency ϖ, (c) central pulse time τ, and (d) phase θ. The amplitude (triangles) and phase (squares) of the response of each variable are plotted, as well as fits (solid curves) in (c) and (d) to Eq. (4) using the measured response of w and ϖ.

Equations (5)

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d v d t = A v + S ,
Δ τ ̇ = Δ f n Δ f m f n f m .
Δ θ ̇ = 2 π Δ f n ( f m f c f 0 ) Δ f m ( f n f c f 0 ) f n f m .
Δ τ ̇ ( Ω ) T R = A τ w w 0 ( Ω ) A τ g g 0 ( Ω ) A τ ϖ ϖ 0 ( Ω ) ,
Δ θ ̇ ( Ω ) T R = A θ w w 0 ( Ω ) A θ g g 0 ( Ω ) A θ ϖ ϖ 0 ( Ω ) ,

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