Abstract

We experimentally verify the theory of Haus et al. [IEEE J. Quantum Electron. 40, 41 (2004)] on the effects of timing jitter using intracavity phase modulation on the pulse train of a mode-locked laser. The theory is based on the solution of the Heisenberg–Langevin equation in the presence of dispersion and intracavity phase modulation. Using active intracavity phase modulation, we have reduced the timing jitter on a 10.24GHz mode-locked diode laser by 50% from 304to150fs integrated from 1Hz to the Nyquist frequency of 5.12GHz.

© 2009 Optical Society of America

Full Article  |  PDF Article

References

  • View by:
  • |
  • |
  • |

  1. P. J. Delfyett, S. Gee, M. T. Choi, H. Izadpanah, W. Lee, S. Ozharar, F. Quinlan, and T. Yilmaz., J. Lightwave Technol. 24, 2701 (2006).
    [CrossRef]
  2. P. K. Kondratko, A. Leven, Y. K. Chen, J. lin, U. Koc, K. Y. Tu, and J. Lee, IEEE Photon. Technol. Lett. 17, 2727 (2005).
    [CrossRef]
  3. H. Taylor, IEEE J. Quantum Electron. 15, 210 (1979).
    [CrossRef]
  4. H. A. Haus and A. Mecozzi, IEEE J. Quantum Electron. 29, 983 (1993).
    [CrossRef]
  5. M. E. Grein, H. A. Haus, Y. Chen, and E. P. Ippen, IEEE J. Quantum Electron. 40, 1458 (2004).
    [CrossRef]
  6. T. Yilmaz, C. M. Depriest, A. Braun, J. H. Abeles, and P. J. Delfyett, IEEE J. Quantum Electron. 39, 838 (2003).
    [CrossRef]
  7. S. Gee, F. Quinlan, S. Ozharar, and P. J. Delfyett, IEEE Photon. Technol. Lett. 17, 199 (2005).
    [CrossRef]
  8. F. Quinlan, S. Gee, S. Ozharar, and P. J. Delfyett, IEEE Photon. Technol. Lett. 19, 1221 (2007).
    [CrossRef]
  9. S. Gee, S. Ozharar, F. Quinlan, J. J. Plant, P. W. Juodawlkis, and P. J. Delfyett, IEEE Photon. Technol. Lett. 19, 498 (2007).
    [CrossRef]
  10. F. Rana, R. J. Ram, and H. A. Haus, IEEE J. Quantum Electron. 40, 41 (2004).
    [CrossRef]
  11. D. von der Linde, Appl. Phys. B 39, 201 (1986).
    [CrossRef]

2007 (2)

F. Quinlan, S. Gee, S. Ozharar, and P. J. Delfyett, IEEE Photon. Technol. Lett. 19, 1221 (2007).
[CrossRef]

S. Gee, S. Ozharar, F. Quinlan, J. J. Plant, P. W. Juodawlkis, and P. J. Delfyett, IEEE Photon. Technol. Lett. 19, 498 (2007).
[CrossRef]

2006 (1)

2005 (2)

P. K. Kondratko, A. Leven, Y. K. Chen, J. lin, U. Koc, K. Y. Tu, and J. Lee, IEEE Photon. Technol. Lett. 17, 2727 (2005).
[CrossRef]

S. Gee, F. Quinlan, S. Ozharar, and P. J. Delfyett, IEEE Photon. Technol. Lett. 17, 199 (2005).
[CrossRef]

2004 (2)

M. E. Grein, H. A. Haus, Y. Chen, and E. P. Ippen, IEEE J. Quantum Electron. 40, 1458 (2004).
[CrossRef]

F. Rana, R. J. Ram, and H. A. Haus, IEEE J. Quantum Electron. 40, 41 (2004).
[CrossRef]

2003 (1)

T. Yilmaz, C. M. Depriest, A. Braun, J. H. Abeles, and P. J. Delfyett, IEEE J. Quantum Electron. 39, 838 (2003).
[CrossRef]

1993 (1)

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

1986 (1)

D. von der Linde, Appl. Phys. B 39, 201 (1986).
[CrossRef]

1979 (1)

H. Taylor, IEEE J. Quantum Electron. 15, 210 (1979).
[CrossRef]

Abeles, J. H.

T. Yilmaz, C. M. Depriest, A. Braun, J. H. Abeles, and P. J. Delfyett, IEEE J. Quantum Electron. 39, 838 (2003).
[CrossRef]

Braun, A.

T. Yilmaz, C. M. Depriest, A. Braun, J. H. Abeles, and P. J. Delfyett, IEEE J. Quantum Electron. 39, 838 (2003).
[CrossRef]

Chen, Y.

M. E. Grein, H. A. Haus, Y. Chen, and E. P. Ippen, IEEE J. Quantum Electron. 40, 1458 (2004).
[CrossRef]

Chen, Y. K.

P. K. Kondratko, A. Leven, Y. K. Chen, J. lin, U. Koc, K. Y. Tu, and J. Lee, IEEE Photon. Technol. Lett. 17, 2727 (2005).
[CrossRef]

Choi, M. T.

Delfyett, P. J.

F. Quinlan, S. Gee, S. Ozharar, and P. J. Delfyett, IEEE Photon. Technol. Lett. 19, 1221 (2007).
[CrossRef]

S. Gee, S. Ozharar, F. Quinlan, J. J. Plant, P. W. Juodawlkis, and P. J. Delfyett, IEEE Photon. Technol. Lett. 19, 498 (2007).
[CrossRef]

P. J. Delfyett, S. Gee, M. T. Choi, H. Izadpanah, W. Lee, S. Ozharar, F. Quinlan, and T. Yilmaz., J. Lightwave Technol. 24, 2701 (2006).
[CrossRef]

S. Gee, F. Quinlan, S. Ozharar, and P. J. Delfyett, IEEE Photon. Technol. Lett. 17, 199 (2005).
[CrossRef]

T. Yilmaz, C. M. Depriest, A. Braun, J. H. Abeles, and P. J. Delfyett, IEEE J. Quantum Electron. 39, 838 (2003).
[CrossRef]

Depriest, C. M.

T. Yilmaz, C. M. Depriest, A. Braun, J. H. Abeles, and P. J. Delfyett, IEEE J. Quantum Electron. 39, 838 (2003).
[CrossRef]

Gee, S.

S. Gee, S. Ozharar, F. Quinlan, J. J. Plant, P. W. Juodawlkis, and P. J. Delfyett, IEEE Photon. Technol. Lett. 19, 498 (2007).
[CrossRef]

F. Quinlan, S. Gee, S. Ozharar, and P. J. Delfyett, IEEE Photon. Technol. Lett. 19, 1221 (2007).
[CrossRef]

P. J. Delfyett, S. Gee, M. T. Choi, H. Izadpanah, W. Lee, S. Ozharar, F. Quinlan, and T. Yilmaz., J. Lightwave Technol. 24, 2701 (2006).
[CrossRef]

S. Gee, F. Quinlan, S. Ozharar, and P. J. Delfyett, IEEE Photon. Technol. Lett. 17, 199 (2005).
[CrossRef]

Grein, M. E.

M. E. Grein, H. A. Haus, Y. Chen, and E. P. Ippen, IEEE J. Quantum Electron. 40, 1458 (2004).
[CrossRef]

Haus, H. A.

M. E. Grein, H. A. Haus, Y. Chen, and E. P. Ippen, IEEE J. Quantum Electron. 40, 1458 (2004).
[CrossRef]

F. Rana, R. J. Ram, and H. A. Haus, IEEE J. Quantum Electron. 40, 41 (2004).
[CrossRef]

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

Ippen, E. P.

M. E. Grein, H. A. Haus, Y. Chen, and E. P. Ippen, IEEE J. Quantum Electron. 40, 1458 (2004).
[CrossRef]

Izadpanah, H.

Juodawlkis, P. W.

S. Gee, S. Ozharar, F. Quinlan, J. J. Plant, P. W. Juodawlkis, and P. J. Delfyett, IEEE Photon. Technol. Lett. 19, 498 (2007).
[CrossRef]

Koc, U.

P. K. Kondratko, A. Leven, Y. K. Chen, J. lin, U. Koc, K. Y. Tu, and J. Lee, IEEE Photon. Technol. Lett. 17, 2727 (2005).
[CrossRef]

Kondratko, P. K.

P. K. Kondratko, A. Leven, Y. K. Chen, J. lin, U. Koc, K. Y. Tu, and J. Lee, IEEE Photon. Technol. Lett. 17, 2727 (2005).
[CrossRef]

Lee, J.

P. K. Kondratko, A. Leven, Y. K. Chen, J. lin, U. Koc, K. Y. Tu, and J. Lee, IEEE Photon. Technol. Lett. 17, 2727 (2005).
[CrossRef]

Lee, W.

Leven, A.

P. K. Kondratko, A. Leven, Y. K. Chen, J. lin, U. Koc, K. Y. Tu, and J. Lee, IEEE Photon. Technol. Lett. 17, 2727 (2005).
[CrossRef]

lin, J.

P. K. Kondratko, A. Leven, Y. K. Chen, J. lin, U. Koc, K. Y. Tu, and J. Lee, IEEE Photon. Technol. Lett. 17, 2727 (2005).
[CrossRef]

Mecozzi, A.

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

Ozharar, S.

S. Gee, S. Ozharar, F. Quinlan, J. J. Plant, P. W. Juodawlkis, and P. J. Delfyett, IEEE Photon. Technol. Lett. 19, 498 (2007).
[CrossRef]

F. Quinlan, S. Gee, S. Ozharar, and P. J. Delfyett, IEEE Photon. Technol. Lett. 19, 1221 (2007).
[CrossRef]

P. J. Delfyett, S. Gee, M. T. Choi, H. Izadpanah, W. Lee, S. Ozharar, F. Quinlan, and T. Yilmaz., J. Lightwave Technol. 24, 2701 (2006).
[CrossRef]

S. Gee, F. Quinlan, S. Ozharar, and P. J. Delfyett, IEEE Photon. Technol. Lett. 17, 199 (2005).
[CrossRef]

Plant, J. J.

S. Gee, S. Ozharar, F. Quinlan, J. J. Plant, P. W. Juodawlkis, and P. J. Delfyett, IEEE Photon. Technol. Lett. 19, 498 (2007).
[CrossRef]

Quinlan, F.

S. Gee, S. Ozharar, F. Quinlan, J. J. Plant, P. W. Juodawlkis, and P. J. Delfyett, IEEE Photon. Technol. Lett. 19, 498 (2007).
[CrossRef]

F. Quinlan, S. Gee, S. Ozharar, and P. J. Delfyett, IEEE Photon. Technol. Lett. 19, 1221 (2007).
[CrossRef]

P. J. Delfyett, S. Gee, M. T. Choi, H. Izadpanah, W. Lee, S. Ozharar, F. Quinlan, and T. Yilmaz., J. Lightwave Technol. 24, 2701 (2006).
[CrossRef]

S. Gee, F. Quinlan, S. Ozharar, and P. J. Delfyett, IEEE Photon. Technol. Lett. 17, 199 (2005).
[CrossRef]

Ram, R. J.

F. Rana, R. J. Ram, and H. A. Haus, IEEE J. Quantum Electron. 40, 41 (2004).
[CrossRef]

Rana, F.

F. Rana, R. J. Ram, and H. A. Haus, IEEE J. Quantum Electron. 40, 41 (2004).
[CrossRef]

Taylor, H.

H. Taylor, IEEE J. Quantum Electron. 15, 210 (1979).
[CrossRef]

Tu, K. Y.

P. K. Kondratko, A. Leven, Y. K. Chen, J. lin, U. Koc, K. Y. Tu, and J. Lee, IEEE Photon. Technol. Lett. 17, 2727 (2005).
[CrossRef]

von der Linde, D.

D. von der Linde, Appl. Phys. B 39, 201 (1986).
[CrossRef]

Yilmaz, T.

T. Yilmaz, C. M. Depriest, A. Braun, J. H. Abeles, and P. J. Delfyett, IEEE J. Quantum Electron. 39, 838 (2003).
[CrossRef]

Yilmaz., T.

Appl. Phys. B (1)

D. von der Linde, Appl. Phys. B 39, 201 (1986).
[CrossRef]

IEEE J. Quantum Electron. (5)

F. Rana, R. J. Ram, and H. A. Haus, IEEE J. Quantum Electron. 40, 41 (2004).
[CrossRef]

H. Taylor, IEEE J. Quantum Electron. 15, 210 (1979).
[CrossRef]

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

M. E. Grein, H. A. Haus, Y. Chen, and E. P. Ippen, IEEE J. Quantum Electron. 40, 1458 (2004).
[CrossRef]

T. Yilmaz, C. M. Depriest, A. Braun, J. H. Abeles, and P. J. Delfyett, IEEE J. Quantum Electron. 39, 838 (2003).
[CrossRef]

IEEE Photon. Technol. Lett. (4)

S. Gee, F. Quinlan, S. Ozharar, and P. J. Delfyett, IEEE Photon. Technol. Lett. 17, 199 (2005).
[CrossRef]

F. Quinlan, S. Gee, S. Ozharar, and P. J. Delfyett, IEEE Photon. Technol. Lett. 19, 1221 (2007).
[CrossRef]

S. Gee, S. Ozharar, F. Quinlan, J. J. Plant, P. W. Juodawlkis, and P. J. Delfyett, IEEE Photon. Technol. Lett. 19, 498 (2007).
[CrossRef]

P. K. Kondratko, A. Leven, Y. K. Chen, J. lin, U. Koc, K. Y. Tu, and J. Lee, IEEE Photon. Technol. Lett. 17, 2727 (2005).
[CrossRef]

J. Lightwave Technol. (1)

Cited By

OSA participates in CrossRef's Cited-By Linking service. Citing articles from OSA journals and other participating publishers are listed here.

Alert me when this article is cited.


Figures (5)

Fig. 1
Fig. 1

Normalized timing jitter as a function of p M a M for different values of D B .

Fig. 2
Fig. 2

Laser setup. A.M. and P.M., amplitude and phase modulators, respectively; Iso., optical isolator; SOA, semiconductor optical amplifier; BPF, optical bandpass filter; P.C., polarization controller; DCF, dispersion compensating fiber; V.A., variable attenuator; P.S., phase shifter; Synth., rf synthesizer. 10% and 3 dB show the corresponding power split ratios.

Fig. 3
Fig. 3

Single-sideband noise spectra and corresponding integrated jitter for different p M a M ratios.

Fig. 4
Fig. 4

Integrated jitter for different p M a M ratios. The experimental data are shown with dots (y scale on the right), the theoretical expectation for large D B ratio (arbitrarily chosen to be 20 ) is shown with straight line (y scale on the left).

Fig. 5
Fig. 5

Single-sideband phase noise for p M a M being equal to 0 and 1.6.  

Equations (3)

Equations on this page are rendered with MathJax. Learn more.

d ϕ ̂ d T = A ϕ ̂ + ( B j D ) 1 2 2 ϕ ̂ t 2 + ( a M + j p M ) [ cos ( 2 π f M t ) 1 ] ϕ ̂ + F ̂ ,
J σ a 2 ( 1 + tan 2 ( tan 1 ( p M a M ) + tan 1 ( D B ) 2 ) ) 3 2 1 + p M a M tan ( tan 1 ( p M a M ) + tan 1 ( D B ) 2 ) ,
Δ t = 1 2 π f r e p 2 f min f max L ( f ) d f .

Metrics