Abstract

We report the observation of self phase-locked pulse pairs in a stretched-pulse fiber laser operating in the normal path-averaged dispersion regime. Numerical simulations agree with our experimental results. More insight is provided with a numerical comparison between intracavity profiles of pulse pairs in anomalous and in normal dispersion regimes.

© 2003 Optical Society of America

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References

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  1. A. B. Grudinin, D. J. Richardson, and D. N. Payne “Energy quantisation in figure eight fibre laser,” Electron. Lett. 28, 67–68 (1992).
    [Crossref]
  2. M. J. Guy, D. U. Noske, and J. R. Taylor, “Generation of femtosecond soliton pulses by passive mode locking of an ytterbium-erbium figure-of-eight fiber laser,” Opt. Lett 18, 1447–1449 (1993).
    [Crossref] [PubMed]
  3. A. B. Grudinin, D. J. Richardson, and D. N. Payne, “Passive harmonic modelocking of a fiber soliton ring laser,” Electron. Lett. 29, 1860–1861 (1993).
    [Crossref]
  4. D. Y. Tang, W. S. Man, H. Y. Tam, and P. D. Drummond, “Observation of bound states of solitons in a passively mode-locked fiber laser,” Phys. Rev. A 64, 33814 (2001).
    [Crossref]
  5. Ph. Grelu, F. Belhache, F. Gutty, and J. M. Soto-Crespo, “Phase-locked soliton pairs in a stretched-pulse fiber laser” Opt. Lett. 27, 966–968 (2002).
    [Crossref]
  6. Ph. Grelu, F. Belhache, F. Gutty, and J. M. Soto-Crespo, “Relative phase-locking of pulses in a passively mode-locked fiber laser,” J. Opt. Soc. B 20, 863–870 (2003).
    [Crossref]
  7. N. N. Akhmediev, A. Ankiewicz, and J. M. Soto-Crespo, “Stable soliton pairs in optical transmission lines and fiber lasers”, J. Opt. Soc. Am. B 15, 515–523 (1998).
    [Crossref]
  8. K. Tamura, E. P. Ippen, H. A. Haus, and L. E. Nelson, “77-fs pulse generation from a stretched-pulse mode-locked all-fiber ring laser,” Opt. Lett. 18, 1080–1082 (1993).
    [Crossref] [PubMed]

2003 (1)

Ph. Grelu, F. Belhache, F. Gutty, and J. M. Soto-Crespo, “Relative phase-locking of pulses in a passively mode-locked fiber laser,” J. Opt. Soc. B 20, 863–870 (2003).
[Crossref]

2002 (1)

2001 (1)

D. Y. Tang, W. S. Man, H. Y. Tam, and P. D. Drummond, “Observation of bound states of solitons in a passively mode-locked fiber laser,” Phys. Rev. A 64, 33814 (2001).
[Crossref]

1998 (1)

1993 (3)

K. Tamura, E. P. Ippen, H. A. Haus, and L. E. Nelson, “77-fs pulse generation from a stretched-pulse mode-locked all-fiber ring laser,” Opt. Lett. 18, 1080–1082 (1993).
[Crossref] [PubMed]

M. J. Guy, D. U. Noske, and J. R. Taylor, “Generation of femtosecond soliton pulses by passive mode locking of an ytterbium-erbium figure-of-eight fiber laser,” Opt. Lett 18, 1447–1449 (1993).
[Crossref] [PubMed]

A. B. Grudinin, D. J. Richardson, and D. N. Payne, “Passive harmonic modelocking of a fiber soliton ring laser,” Electron. Lett. 29, 1860–1861 (1993).
[Crossref]

1992 (1)

A. B. Grudinin, D. J. Richardson, and D. N. Payne “Energy quantisation in figure eight fibre laser,” Electron. Lett. 28, 67–68 (1992).
[Crossref]

Akhmediev, N. N.

Ankiewicz, A.

Belhache, F.

Ph. Grelu, F. Belhache, F. Gutty, and J. M. Soto-Crespo, “Relative phase-locking of pulses in a passively mode-locked fiber laser,” J. Opt. Soc. B 20, 863–870 (2003).
[Crossref]

Ph. Grelu, F. Belhache, F. Gutty, and J. M. Soto-Crespo, “Phase-locked soliton pairs in a stretched-pulse fiber laser” Opt. Lett. 27, 966–968 (2002).
[Crossref]

Drummond, P. D.

D. Y. Tang, W. S. Man, H. Y. Tam, and P. D. Drummond, “Observation of bound states of solitons in a passively mode-locked fiber laser,” Phys. Rev. A 64, 33814 (2001).
[Crossref]

Grelu, Ph.

Ph. Grelu, F. Belhache, F. Gutty, and J. M. Soto-Crespo, “Relative phase-locking of pulses in a passively mode-locked fiber laser,” J. Opt. Soc. B 20, 863–870 (2003).
[Crossref]

Ph. Grelu, F. Belhache, F. Gutty, and J. M. Soto-Crespo, “Phase-locked soliton pairs in a stretched-pulse fiber laser” Opt. Lett. 27, 966–968 (2002).
[Crossref]

Grudinin, A. B.

A. B. Grudinin, D. J. Richardson, and D. N. Payne, “Passive harmonic modelocking of a fiber soliton ring laser,” Electron. Lett. 29, 1860–1861 (1993).
[Crossref]

A. B. Grudinin, D. J. Richardson, and D. N. Payne “Energy quantisation in figure eight fibre laser,” Electron. Lett. 28, 67–68 (1992).
[Crossref]

Gutty, F.

Ph. Grelu, F. Belhache, F. Gutty, and J. M. Soto-Crespo, “Relative phase-locking of pulses in a passively mode-locked fiber laser,” J. Opt. Soc. B 20, 863–870 (2003).
[Crossref]

Ph. Grelu, F. Belhache, F. Gutty, and J. M. Soto-Crespo, “Phase-locked soliton pairs in a stretched-pulse fiber laser” Opt. Lett. 27, 966–968 (2002).
[Crossref]

Guy, M. J.

M. J. Guy, D. U. Noske, and J. R. Taylor, “Generation of femtosecond soliton pulses by passive mode locking of an ytterbium-erbium figure-of-eight fiber laser,” Opt. Lett 18, 1447–1449 (1993).
[Crossref] [PubMed]

Haus, H. A.

Ippen, E. P.

Man, W. S.

D. Y. Tang, W. S. Man, H. Y. Tam, and P. D. Drummond, “Observation of bound states of solitons in a passively mode-locked fiber laser,” Phys. Rev. A 64, 33814 (2001).
[Crossref]

Nelson, L. E.

Noske, D. U.

M. J. Guy, D. U. Noske, and J. R. Taylor, “Generation of femtosecond soliton pulses by passive mode locking of an ytterbium-erbium figure-of-eight fiber laser,” Opt. Lett 18, 1447–1449 (1993).
[Crossref] [PubMed]

Payne, D. N.

A. B. Grudinin, D. J. Richardson, and D. N. Payne, “Passive harmonic modelocking of a fiber soliton ring laser,” Electron. Lett. 29, 1860–1861 (1993).
[Crossref]

A. B. Grudinin, D. J. Richardson, and D. N. Payne “Energy quantisation in figure eight fibre laser,” Electron. Lett. 28, 67–68 (1992).
[Crossref]

Richardson, D. J.

A. B. Grudinin, D. J. Richardson, and D. N. Payne, “Passive harmonic modelocking of a fiber soliton ring laser,” Electron. Lett. 29, 1860–1861 (1993).
[Crossref]

A. B. Grudinin, D. J. Richardson, and D. N. Payne “Energy quantisation in figure eight fibre laser,” Electron. Lett. 28, 67–68 (1992).
[Crossref]

Soto-Crespo, J. M.

Tam, H. Y.

D. Y. Tang, W. S. Man, H. Y. Tam, and P. D. Drummond, “Observation of bound states of solitons in a passively mode-locked fiber laser,” Phys. Rev. A 64, 33814 (2001).
[Crossref]

Tamura, K.

Tang, D. Y.

D. Y. Tang, W. S. Man, H. Y. Tam, and P. D. Drummond, “Observation of bound states of solitons in a passively mode-locked fiber laser,” Phys. Rev. A 64, 33814 (2001).
[Crossref]

Taylor, J. R.

M. J. Guy, D. U. Noske, and J. R. Taylor, “Generation of femtosecond soliton pulses by passive mode locking of an ytterbium-erbium figure-of-eight fiber laser,” Opt. Lett 18, 1447–1449 (1993).
[Crossref] [PubMed]

Electron. Lett. (2)

A. B. Grudinin, D. J. Richardson, and D. N. Payne “Energy quantisation in figure eight fibre laser,” Electron. Lett. 28, 67–68 (1992).
[Crossref]

A. B. Grudinin, D. J. Richardson, and D. N. Payne, “Passive harmonic modelocking of a fiber soliton ring laser,” Electron. Lett. 29, 1860–1861 (1993).
[Crossref]

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

J. Opt. Soc. B (1)

Ph. Grelu, F. Belhache, F. Gutty, and J. M. Soto-Crespo, “Relative phase-locking of pulses in a passively mode-locked fiber laser,” J. Opt. Soc. B 20, 863–870 (2003).
[Crossref]

Opt. Lett (1)

M. J. Guy, D. U. Noske, and J. R. Taylor, “Generation of femtosecond soliton pulses by passive mode locking of an ytterbium-erbium figure-of-eight fiber laser,” Opt. Lett 18, 1447–1449 (1993).
[Crossref] [PubMed]

Opt. Lett. (2)

Phys. Rev. A (1)

D. Y. Tang, W. S. Man, H. Y. Tam, and P. D. Drummond, “Observation of bound states of solitons in a passively mode-locked fiber laser,” Phys. Rev. A 64, 33814 (2001).
[Crossref]

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Figures (6)

Fig. 1.
Fig. 1.

Fiber ring laser experimental setup

Fig. 2.
Fig. 2.

(a) Autocorrelation function and (b) optical spectrum recorded at output 3.

Fig. 3.
Fig. 3.

(a) Compressed pulse pair and (b) optical spectrum recorded at output 1.

Fig. 4.
Fig. 4.

Scheme of the numerical model

Fig. 5
Fig. 5

(a) Trajectories of pulse pairs. The point denoted by a red dot acts as an attractor. (b) Optical spectrum corresponding to the stationary solution of the attractor, as taken after the polarizer. The parameters of the simulation are : LSMF=3.6, LEDF=1.88, Γ=3, γ=0.2, Qsat=8, g0=1.5, β=0.08, θ=142°.

Fig. 6.
Fig. 6.

Comparison of simulated field profiles along the dispersion-managed cavity. (a): in normal path-averaged dispersion regime, (b) in anomalous path-averaged dispersion regime. red colour is used for propagation in the EDF, whereas blue is for propagation in the SMF. The parameters used in (a) are the same as in Fig.5. The parameters used in (b) are: LEDF=1.6 m, LSMF=4.8 m, Γ=3, D=-2.3, γ=0.09, g0=1.5, Qsat=0.9, β=0.05, θ=70°. Time and distance are in real units, whereas one E-field unit is equal to 28 (Watt)1/2.

Equations (3)

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i E z + D 2 E tt + Γ E 2 E = i g 0 E 1 + Q Q sat + i β E tt
i U z + γ U + 1 2 U tt + U 2 U + 2 3 V 2 U + 1 3 V 2 U * = 0 ,
i V z γ V + 1 2 V tt + V 2 V + 2 3 U 2 V + 1 3 U 2 V * = 0 .

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