Abstract

We report on the observation of quantum-limited timing jitter in a harmonically mode-locked soliton fiber laser with an ultralow-noise local oscillator. The effects of amplitude and phase modulation on the spectrum are described and compared with theory.

© 2002 Optical Society of America

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References

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  1. T. R. Clark, T. F. Carruthers, P. J. Matthews, and I. N. Duling, Electron. Lett. 35, 720 (1999).
    [CrossRef]
  2. E. Yoshida and M. Nakazawa, IEEE Photon. Technol. Lett. 11, 548 (1999).
    [CrossRef]
  3. W. Ng, R. Stephens, D. Persechini, and K. V. Reddy, Electron. Lett. 37, 113 (2001).
    [CrossRef]
  4. S. Namiki, C. X. Yu, and H. A. Haus, J. Opt. Soc. Am. B 13, 2817 (1996).
    [CrossRef]
  5. C. X. Yu, S. Namiki, and H. A. Haus, IEEE J. Quantum Electron. 33, 660 (1997).
    [CrossRef]
  6. M. E. Grein, H. A. Haus, Y. Chen, and E. P. Ippen, “The quantum limit of timing jitter in actively modelocked soliton lasers,” to be subumitted to IEEE J. Quantum Electron.
  7. A. Mecozzi, J. D. Moores, H. A. Haus, and Y. Lai, Opt. Lett. 16, 1841 (1991).
    [CrossRef] [PubMed]
  8. H. A. Haus and A. Mecozzi, IEEE J. Quantum Electron. 29, 983 (1993).
    [CrossRef]
  9. H. A. Haus, IEEE J. Quantum Electron. QE-11, 323 (1975).
    [CrossRef]
  10. M. E. Grein, L. A. Jiang, Y. Chen, H. A. Haus, and E. P. Ippen, Opt. Lett. 24, 1687 (1999).
    [CrossRef]
  11. J. P. Gordon and H. A. Haus, Opt. Lett. 11, 665 (1986).
    [CrossRef] [PubMed]
  12. M. E. Grein, H. A. Haus, Y. Chen, and E. P. Ippen, in Conference on Lasers and Electro-Optics (CLEO), Vol. 56 of OSA Trends in Optics and Photonics Series (Optical Society of America, Washington, D.C., 2001), pp. 243–244.
  13. T. F. Carruthers and I. N. Duling, Opt. Lett. 21, 1927 (1996).
    [CrossRef] [PubMed]
  14. X. Shan, D. Cleland, and A. Ellis, Electron. Lett. 28, 182 (1992).
    [CrossRef]
  15. W. F. Walls, in Proceedings of the 1992 IEEE Frequency Control Symposium (Institute of Electrical and Electronics Engineers, Piscataway, N.J., 1992), pp. 257–260.
    [CrossRef]
  16. F. Rana, H. L. T. Lee, M. E. Grein, L. A. Jiang, and R. J. Ram, “Characterization of the noise and correlations in harmonically mode-locked lasers,” submitted to J. Opt. Soc. Am. B.

2001 (1)

W. Ng, R. Stephens, D. Persechini, and K. V. Reddy, Electron. Lett. 37, 113 (2001).
[CrossRef]

1999 (3)

T. R. Clark, T. F. Carruthers, P. J. Matthews, and I. N. Duling, Electron. Lett. 35, 720 (1999).
[CrossRef]

E. Yoshida and M. Nakazawa, IEEE Photon. Technol. Lett. 11, 548 (1999).
[CrossRef]

M. E. Grein, L. A. Jiang, Y. Chen, H. A. Haus, and E. P. Ippen, Opt. Lett. 24, 1687 (1999).
[CrossRef]

1997 (1)

C. X. Yu, S. Namiki, and H. A. Haus, IEEE J. Quantum Electron. 33, 660 (1997).
[CrossRef]

1996 (2)

1993 (1)

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

1992 (1)

X. Shan, D. Cleland, and A. Ellis, Electron. Lett. 28, 182 (1992).
[CrossRef]

1991 (1)

1986 (1)

1975 (1)

H. A. Haus, IEEE J. Quantum Electron. QE-11, 323 (1975).
[CrossRef]

Carruthers, T. F.

T. R. Clark, T. F. Carruthers, P. J. Matthews, and I. N. Duling, Electron. Lett. 35, 720 (1999).
[CrossRef]

T. F. Carruthers and I. N. Duling, Opt. Lett. 21, 1927 (1996).
[CrossRef] [PubMed]

Chen, Y.

M. E. Grein, L. A. Jiang, Y. Chen, H. A. Haus, and E. P. Ippen, Opt. Lett. 24, 1687 (1999).
[CrossRef]

M. E. Grein, H. A. Haus, Y. Chen, and E. P. Ippen, “The quantum limit of timing jitter in actively modelocked soliton lasers,” to be subumitted to IEEE J. Quantum Electron.

M. E. Grein, H. A. Haus, Y. Chen, and E. P. Ippen, in Conference on Lasers and Electro-Optics (CLEO), Vol. 56 of OSA Trends in Optics and Photonics Series (Optical Society of America, Washington, D.C., 2001), pp. 243–244.

Clark, T. R.

T. R. Clark, T. F. Carruthers, P. J. Matthews, and I. N. Duling, Electron. Lett. 35, 720 (1999).
[CrossRef]

Cleland, D.

X. Shan, D. Cleland, and A. Ellis, Electron. Lett. 28, 182 (1992).
[CrossRef]

Duling, I. N.

T. R. Clark, T. F. Carruthers, P. J. Matthews, and I. N. Duling, Electron. Lett. 35, 720 (1999).
[CrossRef]

T. F. Carruthers and I. N. Duling, Opt. Lett. 21, 1927 (1996).
[CrossRef] [PubMed]

Ellis, A.

X. Shan, D. Cleland, and A. Ellis, Electron. Lett. 28, 182 (1992).
[CrossRef]

Gordon, J. P.

Grein, M. E.

M. E. Grein, L. A. Jiang, Y. Chen, H. A. Haus, and E. P. Ippen, Opt. Lett. 24, 1687 (1999).
[CrossRef]

M. E. Grein, H. A. Haus, Y. Chen, and E. P. Ippen, in Conference on Lasers and Electro-Optics (CLEO), Vol. 56 of OSA Trends in Optics and Photonics Series (Optical Society of America, Washington, D.C., 2001), pp. 243–244.

F. Rana, H. L. T. Lee, M. E. Grein, L. A. Jiang, and R. J. Ram, “Characterization of the noise and correlations in harmonically mode-locked lasers,” submitted to J. Opt. Soc. Am. B.

M. E. Grein, H. A. Haus, Y. Chen, and E. P. Ippen, “The quantum limit of timing jitter in actively modelocked soliton lasers,” to be subumitted to IEEE J. Quantum Electron.

Haus, H. A.

M. E. Grein, L. A. Jiang, Y. Chen, H. A. Haus, and E. P. Ippen, Opt. Lett. 24, 1687 (1999).
[CrossRef]

C. X. Yu, S. Namiki, and H. A. Haus, IEEE J. Quantum Electron. 33, 660 (1997).
[CrossRef]

S. Namiki, C. X. Yu, and H. A. Haus, J. Opt. Soc. Am. B 13, 2817 (1996).
[CrossRef]

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

A. Mecozzi, J. D. Moores, H. A. Haus, and Y. Lai, Opt. Lett. 16, 1841 (1991).
[CrossRef] [PubMed]

J. P. Gordon and H. A. Haus, Opt. Lett. 11, 665 (1986).
[CrossRef] [PubMed]

H. A. Haus, IEEE J. Quantum Electron. QE-11, 323 (1975).
[CrossRef]

M. E. Grein, H. A. Haus, Y. Chen, and E. P. Ippen, in Conference on Lasers and Electro-Optics (CLEO), Vol. 56 of OSA Trends in Optics and Photonics Series (Optical Society of America, Washington, D.C., 2001), pp. 243–244.

M. E. Grein, H. A. Haus, Y. Chen, and E. P. Ippen, “The quantum limit of timing jitter in actively modelocked soliton lasers,” to be subumitted to IEEE J. Quantum Electron.

Ippen, E. P.

M. E. Grein, L. A. Jiang, Y. Chen, H. A. Haus, and E. P. Ippen, Opt. Lett. 24, 1687 (1999).
[CrossRef]

M. E. Grein, H. A. Haus, Y. Chen, and E. P. Ippen, “The quantum limit of timing jitter in actively modelocked soliton lasers,” to be subumitted to IEEE J. Quantum Electron.

M. E. Grein, H. A. Haus, Y. Chen, and E. P. Ippen, in Conference on Lasers and Electro-Optics (CLEO), Vol. 56 of OSA Trends in Optics and Photonics Series (Optical Society of America, Washington, D.C., 2001), pp. 243–244.

Jiang, L. A.

M. E. Grein, L. A. Jiang, Y. Chen, H. A. Haus, and E. P. Ippen, Opt. Lett. 24, 1687 (1999).
[CrossRef]

F. Rana, H. L. T. Lee, M. E. Grein, L. A. Jiang, and R. J. Ram, “Characterization of the noise and correlations in harmonically mode-locked lasers,” submitted to J. Opt. Soc. Am. B.

Lai, Y.

Lee, H. L. T.

F. Rana, H. L. T. Lee, M. E. Grein, L. A. Jiang, and R. J. Ram, “Characterization of the noise and correlations in harmonically mode-locked lasers,” submitted to J. Opt. Soc. Am. B.

Matthews, P. J.

T. R. Clark, T. F. Carruthers, P. J. Matthews, and I. N. Duling, Electron. Lett. 35, 720 (1999).
[CrossRef]

Mecozzi, A.

Moores, J. D.

Nakazawa, M.

E. Yoshida and M. Nakazawa, IEEE Photon. Technol. Lett. 11, 548 (1999).
[CrossRef]

Namiki, S.

C. X. Yu, S. Namiki, and H. A. Haus, IEEE J. Quantum Electron. 33, 660 (1997).
[CrossRef]

S. Namiki, C. X. Yu, and H. A. Haus, J. Opt. Soc. Am. B 13, 2817 (1996).
[CrossRef]

Ng, W.

W. Ng, R. Stephens, D. Persechini, and K. V. Reddy, Electron. Lett. 37, 113 (2001).
[CrossRef]

Persechini, D.

W. Ng, R. Stephens, D. Persechini, and K. V. Reddy, Electron. Lett. 37, 113 (2001).
[CrossRef]

Ram, R. J.

F. Rana, H. L. T. Lee, M. E. Grein, L. A. Jiang, and R. J. Ram, “Characterization of the noise and correlations in harmonically mode-locked lasers,” submitted to J. Opt. Soc. Am. B.

Rana, F.

F. Rana, H. L. T. Lee, M. E. Grein, L. A. Jiang, and R. J. Ram, “Characterization of the noise and correlations in harmonically mode-locked lasers,” submitted to J. Opt. Soc. Am. B.

Reddy, K. V.

W. Ng, R. Stephens, D. Persechini, and K. V. Reddy, Electron. Lett. 37, 113 (2001).
[CrossRef]

Shan, X.

X. Shan, D. Cleland, and A. Ellis, Electron. Lett. 28, 182 (1992).
[CrossRef]

Stephens, R.

W. Ng, R. Stephens, D. Persechini, and K. V. Reddy, Electron. Lett. 37, 113 (2001).
[CrossRef]

Walls, W. F.

W. F. Walls, in Proceedings of the 1992 IEEE Frequency Control Symposium (Institute of Electrical and Electronics Engineers, Piscataway, N.J., 1992), pp. 257–260.
[CrossRef]

Yoshida, E.

E. Yoshida and M. Nakazawa, IEEE Photon. Technol. Lett. 11, 548 (1999).
[CrossRef]

Yu, C. X.

C. X. Yu, S. Namiki, and H. A. Haus, IEEE J. Quantum Electron. 33, 660 (1997).
[CrossRef]

S. Namiki, C. X. Yu, and H. A. Haus, J. Opt. Soc. Am. B 13, 2817 (1996).
[CrossRef]

Electron. Lett. (3)

T. R. Clark, T. F. Carruthers, P. J. Matthews, and I. N. Duling, Electron. Lett. 35, 720 (1999).
[CrossRef]

W. Ng, R. Stephens, D. Persechini, and K. V. Reddy, Electron. Lett. 37, 113 (2001).
[CrossRef]

X. Shan, D. Cleland, and A. Ellis, Electron. Lett. 28, 182 (1992).
[CrossRef]

IEEE J. Quantum Electron. (3)

C. X. Yu, S. Namiki, and H. A. Haus, IEEE J. Quantum Electron. 33, 660 (1997).
[CrossRef]

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

H. A. Haus, IEEE J. Quantum Electron. QE-11, 323 (1975).
[CrossRef]

IEEE Photon. Technol. Lett. (1)

E. Yoshida and M. Nakazawa, IEEE Photon. Technol. Lett. 11, 548 (1999).
[CrossRef]

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

Opt. Lett. (4)

Other (4)

M. E. Grein, H. A. Haus, Y. Chen, and E. P. Ippen, “The quantum limit of timing jitter in actively modelocked soliton lasers,” to be subumitted to IEEE J. Quantum Electron.

W. F. Walls, in Proceedings of the 1992 IEEE Frequency Control Symposium (Institute of Electrical and Electronics Engineers, Piscataway, N.J., 1992), pp. 257–260.
[CrossRef]

F. Rana, H. L. T. Lee, M. E. Grein, L. A. Jiang, and R. J. Ram, “Characterization of the noise and correlations in harmonically mode-locked lasers,” submitted to J. Opt. Soc. Am. B.

M. E. Grein, H. A. Haus, Y. Chen, and E. P. Ippen, in Conference on Lasers and Electro-Optics (CLEO), Vol. 56 of OSA Trends in Optics and Photonics Series (Optical Society of America, Washington, D.C., 2001), pp. 243–244.

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Figures (4)

Fig. 1
Fig. 1

Fiber laser setup: ISO, isolator; PBS, polarizing beam splitter; HWP, QWP, half- and quarter-wave plates, respectively; F, optical filter (10 nm); G, amplifier; EYDFA, erbium/ytterbium-doped amplifier; DSF, dispersion-shifted (110 m) fiber; DC, dispersion-compensating (13.3 m) fiber; FR, Faraday rotator; AS, aspheric lens.

Fig. 2
Fig. 2

Single-sideband phase-noise setup: C, fiber-coupled 50/50 splitter; PD, photodiode; F, bandpass filter; A, preamplifier; M, double-balanced mixer; PS, phase shifter; FFT, fast Fourier transform.

Fig. 3
Fig. 3

Single-sideband phase noise for mostly AM. Upper dark solid curve, data; gray curve, theory; lower dark curve, measurement noise floor.

Fig. 4
Fig. 4

Single-sideband phase noise for mostly PM. Upper dark solid curve, data; gray cure, theory; lower dark curve, measurement noise floor.

Tables (1)

Tables Icon

Table 1 Integrated Jitter Values of the Dataa

Equations (2)

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ΔTΩ2=1/τp2+Ω2Ω4+1/τp2-2ΩPM2Ω2+ΩPM4×2D/TR2Dpp1/τp2+Ω2+DTT,
σfl,fh=12πfm2flfhLfdf1/2,

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