Abstract

We have made an experimental study of the time jitter in a harmonic passively mode-locked fiber soliton ring laser. We demonstrate that jitter as low as 600 fs (100–550 Hz), which is less than the soliton pulse width, can be achieved at a repetition frequency of 463 MHz. The results support the suggestion that the stability of the laser is dependent on the long-range soliton interaction through the excitation of acoustic waves that is induced by the propagating pulses.

© 1995 Optical Society of America

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References

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  1. A. B. Grudinin, D. J. Richardson, D. N. Payne, Electron. Lett. 28, 67 (1992).
    [CrossRef]
  2. E. Youshida, Y. Kimura, M. Nakazawa, Appl. Phys. Lett. 60, 932 (1992).
    [CrossRef]
  3. M. L. Dennis, I. N. Duling, Electron. Lett. 28, 1894 (1992).
    [CrossRef]
  4. I. Y. Khrushchev, D. J. Richardson, E. M. Dianov, in Proceedings of the Nineteenth European Conference on Optical Communications (Convention of National Societies of Electrical Engineers of Western Europe, Montreux, Switzerland, 1993), p. 33.
  5. A. B. Grudinin, D. J. Richardson, D. N. Payne, Electron. Lett. 29, 1860 (1993).
    [CrossRef]
  6. A. N. Pilipetskii, A. V. Luchnikov, A. M. Prokhorov, Sov. Lightwave Commun. 3, 29 (1993).
  7. D. von der Linde, Appl. Phys. B 39, 201 (1985).
    [CrossRef]
  8. H. A. Haus, A. Mecozzi, IEEE J. Quantum Electron. 29, 983 (1993).
    [CrossRef]
  9. J. P. Gordon, H. A. Haus, Opt. Lett. 11, (1986).
    [PubMed]
  10. A. Mecozzi, J. D. Moores, H. A. Haus, Y. Lai, J. Opt. Soc. Am. B 9, 1350 (1992).
    [CrossRef]
  11. N. J. Smith, K. J. Blow, W. J. Firth, K. Smith, in Nonlinear Guided-Wave Phenomena, Vol. 15 of 1993 OSA Technical Digest Series (Optical Society of America, Washington, D.C., 1993), p. 363.
  12. J. E. Townsend, W. L. Barnes, K. P. Jedrzeijewski, S. G. Grubb, Electron. Lett. 27, 1958 (1991).
    [CrossRef]
  13. R. M. Shelby, M. D. Levenson, P. W. Bayer, Phys. Rev. B 31, 5244 (1985).
    [CrossRef]
  14. A. Bondeson, M. Lisak, D. Anderson, Phys. Scr. 20, 479 (1979).
    [CrossRef]

1993 (3)

A. B. Grudinin, D. J. Richardson, D. N. Payne, Electron. Lett. 29, 1860 (1993).
[CrossRef]

A. N. Pilipetskii, A. V. Luchnikov, A. M. Prokhorov, Sov. Lightwave Commun. 3, 29 (1993).

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

1992 (4)

A. B. Grudinin, D. J. Richardson, D. N. Payne, Electron. Lett. 28, 67 (1992).
[CrossRef]

E. Youshida, Y. Kimura, M. Nakazawa, Appl. Phys. Lett. 60, 932 (1992).
[CrossRef]

M. L. Dennis, I. N. Duling, Electron. Lett. 28, 1894 (1992).
[CrossRef]

A. Mecozzi, J. D. Moores, H. A. Haus, Y. Lai, J. Opt. Soc. Am. B 9, 1350 (1992).
[CrossRef]

1991 (1)

J. E. Townsend, W. L. Barnes, K. P. Jedrzeijewski, S. G. Grubb, Electron. Lett. 27, 1958 (1991).
[CrossRef]

1986 (1)

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

1985 (2)

R. M. Shelby, M. D. Levenson, P. W. Bayer, Phys. Rev. B 31, 5244 (1985).
[CrossRef]

D. von der Linde, Appl. Phys. B 39, 201 (1985).
[CrossRef]

1979 (1)

A. Bondeson, M. Lisak, D. Anderson, Phys. Scr. 20, 479 (1979).
[CrossRef]

Anderson, D.

A. Bondeson, M. Lisak, D. Anderson, Phys. Scr. 20, 479 (1979).
[CrossRef]

Barnes, W. L.

J. E. Townsend, W. L. Barnes, K. P. Jedrzeijewski, S. G. Grubb, Electron. Lett. 27, 1958 (1991).
[CrossRef]

Bayer, P. W.

R. M. Shelby, M. D. Levenson, P. W. Bayer, Phys. Rev. B 31, 5244 (1985).
[CrossRef]

Blow, K. J.

N. J. Smith, K. J. Blow, W. J. Firth, K. Smith, in Nonlinear Guided-Wave Phenomena, Vol. 15 of 1993 OSA Technical Digest Series (Optical Society of America, Washington, D.C., 1993), p. 363.

Bondeson, A.

A. Bondeson, M. Lisak, D. Anderson, Phys. Scr. 20, 479 (1979).
[CrossRef]

Dennis, M. L.

M. L. Dennis, I. N. Duling, Electron. Lett. 28, 1894 (1992).
[CrossRef]

Dianov, E. M.

I. Y. Khrushchev, D. J. Richardson, E. M. Dianov, in Proceedings of the Nineteenth European Conference on Optical Communications (Convention of National Societies of Electrical Engineers of Western Europe, Montreux, Switzerland, 1993), p. 33.

Duling, I. N.

M. L. Dennis, I. N. Duling, Electron. Lett. 28, 1894 (1992).
[CrossRef]

Firth, W. J.

N. J. Smith, K. J. Blow, W. J. Firth, K. Smith, in Nonlinear Guided-Wave Phenomena, Vol. 15 of 1993 OSA Technical Digest Series (Optical Society of America, Washington, D.C., 1993), p. 363.

Gordon, J. P.

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

Grubb, S. G.

J. E. Townsend, W. L. Barnes, K. P. Jedrzeijewski, S. G. Grubb, Electron. Lett. 27, 1958 (1991).
[CrossRef]

Grudinin, A. B.

A. B. Grudinin, D. J. Richardson, D. N. Payne, Electron. Lett. 29, 1860 (1993).
[CrossRef]

A. B. Grudinin, D. J. Richardson, D. N. Payne, Electron. Lett. 28, 67 (1992).
[CrossRef]

Haus, H. A.

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

A. Mecozzi, J. D. Moores, H. A. Haus, Y. Lai, J. Opt. Soc. Am. B 9, 1350 (1992).
[CrossRef]

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

Jedrzeijewski, K. P.

J. E. Townsend, W. L. Barnes, K. P. Jedrzeijewski, S. G. Grubb, Electron. Lett. 27, 1958 (1991).
[CrossRef]

Khrushchev, I. Y.

I. Y. Khrushchev, D. J. Richardson, E. M. Dianov, in Proceedings of the Nineteenth European Conference on Optical Communications (Convention of National Societies of Electrical Engineers of Western Europe, Montreux, Switzerland, 1993), p. 33.

Kimura, Y.

E. Youshida, Y. Kimura, M. Nakazawa, Appl. Phys. Lett. 60, 932 (1992).
[CrossRef]

Lai, Y.

Levenson, M. D.

R. M. Shelby, M. D. Levenson, P. W. Bayer, Phys. Rev. B 31, 5244 (1985).
[CrossRef]

Lisak, M.

A. Bondeson, M. Lisak, D. Anderson, Phys. Scr. 20, 479 (1979).
[CrossRef]

Luchnikov, A. V.

A. N. Pilipetskii, A. V. Luchnikov, A. M. Prokhorov, Sov. Lightwave Commun. 3, 29 (1993).

Mecozzi, A.

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

A. Mecozzi, J. D. Moores, H. A. Haus, Y. Lai, J. Opt. Soc. Am. B 9, 1350 (1992).
[CrossRef]

Moores, J. D.

Nakazawa, M.

E. Youshida, Y. Kimura, M. Nakazawa, Appl. Phys. Lett. 60, 932 (1992).
[CrossRef]

Payne, D. N.

A. B. Grudinin, D. J. Richardson, D. N. Payne, Electron. Lett. 29, 1860 (1993).
[CrossRef]

A. B. Grudinin, D. J. Richardson, D. N. Payne, Electron. Lett. 28, 67 (1992).
[CrossRef]

Pilipetskii, A. N.

A. N. Pilipetskii, A. V. Luchnikov, A. M. Prokhorov, Sov. Lightwave Commun. 3, 29 (1993).

Prokhorov, A. M.

A. N. Pilipetskii, A. V. Luchnikov, A. M. Prokhorov, Sov. Lightwave Commun. 3, 29 (1993).

Richardson, D. J.

A. B. Grudinin, D. J. Richardson, D. N. Payne, Electron. Lett. 29, 1860 (1993).
[CrossRef]

A. B. Grudinin, D. J. Richardson, D. N. Payne, Electron. Lett. 28, 67 (1992).
[CrossRef]

I. Y. Khrushchev, D. J. Richardson, E. M. Dianov, in Proceedings of the Nineteenth European Conference on Optical Communications (Convention of National Societies of Electrical Engineers of Western Europe, Montreux, Switzerland, 1993), p. 33.

Shelby, R. M.

R. M. Shelby, M. D. Levenson, P. W. Bayer, Phys. Rev. B 31, 5244 (1985).
[CrossRef]

Smith, K.

N. J. Smith, K. J. Blow, W. J. Firth, K. Smith, in Nonlinear Guided-Wave Phenomena, Vol. 15 of 1993 OSA Technical Digest Series (Optical Society of America, Washington, D.C., 1993), p. 363.

Smith, N. J.

N. J. Smith, K. J. Blow, W. J. Firth, K. Smith, in Nonlinear Guided-Wave Phenomena, Vol. 15 of 1993 OSA Technical Digest Series (Optical Society of America, Washington, D.C., 1993), p. 363.

Townsend, J. E.

J. E. Townsend, W. L. Barnes, K. P. Jedrzeijewski, S. G. Grubb, Electron. Lett. 27, 1958 (1991).
[CrossRef]

von der Linde, D.

D. von der Linde, Appl. Phys. B 39, 201 (1985).
[CrossRef]

Youshida, E.

E. Youshida, Y. Kimura, M. Nakazawa, Appl. Phys. Lett. 60, 932 (1992).
[CrossRef]

Appl. Phys. B (1)

D. von der Linde, Appl. Phys. B 39, 201 (1985).
[CrossRef]

Appl. Phys. Lett. (1)

E. Youshida, Y. Kimura, M. Nakazawa, Appl. Phys. Lett. 60, 932 (1992).
[CrossRef]

Electron. Lett. (4)

M. L. Dennis, I. N. Duling, Electron. Lett. 28, 1894 (1992).
[CrossRef]

A. B. Grudinin, D. J. Richardson, D. N. Payne, Electron. Lett. 29, 1860 (1993).
[CrossRef]

J. E. Townsend, W. L. Barnes, K. P. Jedrzeijewski, S. G. Grubb, Electron. Lett. 27, 1958 (1991).
[CrossRef]

A. B. Grudinin, D. J. Richardson, D. N. Payne, Electron. Lett. 28, 67 (1992).
[CrossRef]

IEEE J. Quantum Electron. (1)

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

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

Opt. Lett. (1)

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

Phys. Rev. B (1)

R. M. Shelby, M. D. Levenson, P. W. Bayer, Phys. Rev. B 31, 5244 (1985).
[CrossRef]

Phys. Scr. (1)

A. Bondeson, M. Lisak, D. Anderson, Phys. Scr. 20, 479 (1979).
[CrossRef]

Sov. Lightwave Commun. (1)

A. N. Pilipetskii, A. V. Luchnikov, A. M. Prokhorov, Sov. Lightwave Commun. 3, 29 (1993).

Other (2)

I. Y. Khrushchev, D. J. Richardson, E. M. Dianov, in Proceedings of the Nineteenth European Conference on Optical Communications (Convention of National Societies of Electrical Engineers of Western Europe, Montreux, Switzerland, 1993), p. 33.

N. J. Smith, K. J. Blow, W. J. Firth, K. Smith, in Nonlinear Guided-Wave Phenomena, Vol. 15 of 1993 OSA Technical Digest Series (Optical Society of America, Washington, D.C., 1993), p. 363.

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Figures (3)

Fig. 1
Fig. 1

Experimental configuration. WDM, wavelength-division multiplexer; PC’s, polarization controllers.

Fig. 2
Fig. 2

Time jitter as a function of repetition frequency for a total cavity length of 35 m.

Fig. 3
Fig. 3

Third-order rf spectrum for a repetition frequency of 463 MHz and a cavity length of 18 m, indicating 600-fs (100–550-Hz) jitter.

Equations (5)

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i ψ z + 1 2 2 ψ τ 2 + ψ 2 ψ = i G ψ + i β 2 ψ τ 2 + ( ϕ ac - γ τ 2 ) ψ + i α ψ 2 ψ + S ( z ) ,
ψ ( z , τ ) = η sech η ( τ - τ c ) exp [ i Ω τ - ϕ ] ,
d 2 τ c ( z ) d z 2 + 4 β 3 d τ c ( z ) d z + 2 γ τ c ( z ) = S Ω ( z ) .
S Ω ( z ) S Ω * ( z ) = δ ( z - z ) ( G 2 - 1 ) 3 N 0 ξ c = δ ( z - z ) N Ω ,
σ T 2 = - + τ c ( k ) 2 d k = 3 N Ω 2 β γ = ( G 2 - 1 ) T 2 Ω f 2 32 N 0 ϕ ac ξ c 2 ,

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