Abstract

We have performed detailed studies on the dynamics of a frequency comb produced by a mode-locked laser diode (MLLD). Orthogonal control of the pulse repetition rate and the pulse-to-pulse carrier-envelope phase slippage is achieved by appropriate combinations of the respective error signals to actuate the diode injection current and the saturable absorber bias voltage. Phase coherence is established between the MLLD at 1550 nm and a 775-nm mode-locked Ti:sapphire laser working as part of an optical atomic clock.

© 2003 Optical Society of America

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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).
    [CrossRef] [PubMed]
  2. Th. Udem, R. Holzwarth, and T. W. Hänsch, Nature 416, 233 (2002).
    [CrossRef] [PubMed]
  3. A. Baltuska, Th. Udem, M. Uiberacker, M. Hentschel, E. Goulielmakis, Ch. Gohle, R. Holzwarth, V. S. Yakovlev, A. Scrinzi, T. W. Hänsch, and F. Krausz, Nature 421, 611 (2003).
    [CrossRef] [PubMed]
  4. F. Tauser, A. Leitenstorfer, and W. Zinth, Opt. Express 11, 594 (2003), http://www.opticsexpress.org.
    [CrossRef] [PubMed]
  5. D. J. Jones, K. W. Holman, M. Notcutt, J. Ye, J. Chandalia, L. A. Jiang, E. P. Ippen, and H. Yokoyama, Opt. Lett. 28, 813 (2003).
    [CrossRef] [PubMed]
  6. R. K. Shelton, L.-S. Ma, H. C. Kapteyn, M. M. Murnane, J. L. Hall, and J. Ye, Science 293, 1286 (2001).
    [CrossRef] [PubMed]
  7. J. Ye, L.-S. Ma, and J. L. Hall, Phys. Rev. Lett. 87, 270801 (2001).
    [CrossRef]
  8. K. W. Holman, R. J. Jones, A. Marian, S. T. Cundiff, and J. Ye, Opt. Lett. 28, 851 (2003).
    [CrossRef] [PubMed]
  9. D. W. Allan, Proc. IEEE 54, 221 (1966).
    [CrossRef]

2003

2002

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

2001

R. K. Shelton, L.-S. Ma, H. C. Kapteyn, M. M. Murnane, J. L. Hall, and J. Ye, Science 293, 1286 (2001).
[CrossRef] [PubMed]

J. Ye, L.-S. Ma, and J. L. Hall, Phys. Rev. Lett. 87, 270801 (2001).
[CrossRef]

2000

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]

1966

D. W. Allan, Proc. IEEE 54, 221 (1966).
[CrossRef]

Allan, D. W.

D. W. Allan, Proc. IEEE 54, 221 (1966).
[CrossRef]

Baltuska, A.

A. Baltuska, Th. Udem, M. Uiberacker, M. Hentschel, E. Goulielmakis, Ch. Gohle, R. Holzwarth, V. S. Yakovlev, A. Scrinzi, T. W. Hänsch, and F. Krausz, Nature 421, 611 (2003).
[CrossRef] [PubMed]

Chandalia, J.

Cundiff, S. T.

K. W. Holman, R. J. Jones, A. Marian, S. T. Cundiff, and J. Ye, Opt. Lett. 28, 851 (2003).
[CrossRef] [PubMed]

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]

Diddams, S. A.

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]

Gohle, Ch.

A. Baltuska, Th. Udem, M. Uiberacker, M. Hentschel, E. Goulielmakis, Ch. Gohle, R. Holzwarth, V. S. Yakovlev, A. Scrinzi, T. W. Hänsch, and F. Krausz, Nature 421, 611 (2003).
[CrossRef] [PubMed]

Goulielmakis, E.

A. Baltuska, Th. Udem, M. Uiberacker, M. Hentschel, E. Goulielmakis, Ch. Gohle, R. Holzwarth, V. S. Yakovlev, A. Scrinzi, T. W. Hänsch, and F. Krausz, Nature 421, 611 (2003).
[CrossRef] [PubMed]

Hall, J. L.

R. K. Shelton, L.-S. Ma, H. C. Kapteyn, M. M. Murnane, J. L. Hall, and J. Ye, Science 293, 1286 (2001).
[CrossRef] [PubMed]

J. Ye, L.-S. Ma, and J. L. Hall, Phys. Rev. Lett. 87, 270801 (2001).
[CrossRef]

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]

Hänsch, T. W.

A. Baltuska, Th. Udem, M. Uiberacker, M. Hentschel, E. Goulielmakis, Ch. Gohle, R. Holzwarth, V. S. Yakovlev, A. Scrinzi, T. W. Hänsch, and F. Krausz, Nature 421, 611 (2003).
[CrossRef] [PubMed]

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

Hentschel, M.

A. Baltuska, Th. Udem, M. Uiberacker, M. Hentschel, E. Goulielmakis, Ch. Gohle, R. Holzwarth, V. S. Yakovlev, A. Scrinzi, T. W. Hänsch, and F. Krausz, Nature 421, 611 (2003).
[CrossRef] [PubMed]

Holman, K. W.

Holzwarth, R.

A. Baltuska, Th. Udem, M. Uiberacker, M. Hentschel, E. Goulielmakis, Ch. Gohle, R. Holzwarth, V. S. Yakovlev, A. Scrinzi, T. W. Hänsch, and F. Krausz, Nature 421, 611 (2003).
[CrossRef] [PubMed]

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

Ippen, E. P.

Jiang, L. A.

Jones, D. J.

D. J. Jones, K. W. Holman, M. Notcutt, J. Ye, J. Chandalia, L. A. Jiang, E. P. Ippen, and H. Yokoyama, Opt. Lett. 28, 813 (2003).
[CrossRef] [PubMed]

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]

Jones, R. J.

Kapteyn, H. C.

R. K. Shelton, L.-S. Ma, H. C. Kapteyn, M. M. Murnane, J. L. Hall, and J. Ye, Science 293, 1286 (2001).
[CrossRef] [PubMed]

Krausz, F.

A. Baltuska, Th. Udem, M. Uiberacker, M. Hentschel, E. Goulielmakis, Ch. Gohle, R. Holzwarth, V. S. Yakovlev, A. Scrinzi, T. W. Hänsch, and F. Krausz, Nature 421, 611 (2003).
[CrossRef] [PubMed]

Leitenstorfer, A.

Ma, L.-S.

R. K. Shelton, L.-S. Ma, H. C. Kapteyn, M. M. Murnane, J. L. Hall, and J. Ye, Science 293, 1286 (2001).
[CrossRef] [PubMed]

J. Ye, L.-S. Ma, and J. L. Hall, Phys. Rev. Lett. 87, 270801 (2001).
[CrossRef]

Marian, A.

Murnane, M. M.

R. K. Shelton, L.-S. Ma, H. C. Kapteyn, M. M. Murnane, J. L. Hall, and J. Ye, Science 293, 1286 (2001).
[CrossRef] [PubMed]

Notcutt, M.

Ranka, J. K.

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]

Scrinzi, A.

A. Baltuska, Th. Udem, M. Uiberacker, M. Hentschel, E. Goulielmakis, Ch. Gohle, R. Holzwarth, V. S. Yakovlev, A. Scrinzi, T. W. Hänsch, and F. Krausz, Nature 421, 611 (2003).
[CrossRef] [PubMed]

Shelton, R. K.

R. K. Shelton, L.-S. Ma, H. C. Kapteyn, M. M. Murnane, J. L. Hall, and J. Ye, Science 293, 1286 (2001).
[CrossRef] [PubMed]

Stentz, A.

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]

Tauser, F.

Udem, Th.

A. Baltuska, Th. Udem, M. Uiberacker, M. Hentschel, E. Goulielmakis, Ch. Gohle, R. Holzwarth, V. S. Yakovlev, A. Scrinzi, T. W. Hänsch, and F. Krausz, Nature 421, 611 (2003).
[CrossRef] [PubMed]

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

Uiberacker, M.

A. Baltuska, Th. Udem, M. Uiberacker, M. Hentschel, E. Goulielmakis, Ch. Gohle, R. Holzwarth, V. S. Yakovlev, A. Scrinzi, T. W. Hänsch, and F. Krausz, Nature 421, 611 (2003).
[CrossRef] [PubMed]

Windeler, R. S.

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]

Yakovlev, V. S.

A. Baltuska, Th. Udem, M. Uiberacker, M. Hentschel, E. Goulielmakis, Ch. Gohle, R. Holzwarth, V. S. Yakovlev, A. Scrinzi, T. W. Hänsch, and F. Krausz, Nature 421, 611 (2003).
[CrossRef] [PubMed]

Ye, J.

Yokoyama, H.

Zinth, W.

Nature

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

A. Baltuska, Th. Udem, M. Uiberacker, M. Hentschel, E. Goulielmakis, Ch. Gohle, R. Holzwarth, V. S. Yakovlev, A. Scrinzi, T. W. Hänsch, and F. Krausz, Nature 421, 611 (2003).
[CrossRef] [PubMed]

Opt. Express

Opt. Lett.

Phys. Rev. Lett.

J. Ye, L.-S. Ma, and J. L. Hall, Phys. Rev. Lett. 87, 270801 (2001).
[CrossRef]

Proc. IEEE

D. W. Allan, Proc. IEEE 54, 221 (1966).
[CrossRef]

Science

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]

R. K. Shelton, L.-S. Ma, H. C. Kapteyn, M. M. Murnane, J. L. Hall, and J. Ye, Science 293, 1286 (2001).
[CrossRef] [PubMed]

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Figures (5)

Fig. 1
Fig. 1

Schematic diagram of simultaneous synchronization and phase locking between a 1.55µm MLLD and a 775-nm mode-locked Ti:sapphire laser. The shaded area shows the implementation of an optical clock based on a Ti:sapphire fs comb phase-stabilized to an iodine standard. The MLLD’s repetition frequency is eight times that of the Ti:sapphire (not as shown in the figure).

Fig. 2
Fig. 2

Dependence of frep,1550 and fceo,1550 on Id, Vs, and lc. All three parameters have been normalized by their maximum operating value. When frep,1550 was evaluated, the rf injection was turned off to observe the uncontaminated response to Id, Vs, and lc.

Fig. 3
Fig. 3

Relative timing jitter for the synchronization loop under the conditions of (a) microwave injection to the saturable absorber (dashed trace), (b) synchronization via injection locking and phase locking via saturable absorber bias voltage (solid trace), and (c) synchronization and phase locking via orthogonalized control (dotted trace).

Fig. 4
Fig. 4

Heterodyne beat signal between the frequency-doubled MLLD and the Ti:sapphire combs under the conditions of (a) synchronization via microwave injection to the saturable absorber (top trace), (b) synchronization via injection current (Id) servo (middle trace), and (c) synchronization and phase locking via orthogonalized control (bottom trace). Traces are vertically displaced for viewing clarity.

Fig. 5
Fig. 5

(a) Heterodyne beat recorded by a frequency counter at 1-s gate time, under no phase locking (short trace, with respect to the right vertical axis) and phase locking (long trace, with respect to the left vertical axis). (b) Allan deviation associated with the phase-locked signal.

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