Abstract

We report what is, to our knowledge, the first experimental observation of stable new bound soliton pairs at the 10GHz repetition rate in a hybrid FM harmonic mode-locked Er-fiber laser (1177 soliton pairs simultaneously in the laser cavity). The two solitons in the soliton pair have the identical pulse shape and are with the antiphase (π phase difference). Their time separation is about three times the FWHM soliton width and varies with the phase modulation strength. The corresponding mechanism for explaining the formation as well as the superior stability of these closely bound soliton pairs is also given.

© 2006 Optical Society of America

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    [CrossRef]
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    [CrossRef]
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    [CrossRef]
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    [CrossRef] [PubMed]
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    [CrossRef]
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    [CrossRef]

2005 (2)

D. Y. Tang, B. Zhao, L. M. Zhao, and H. Y. Tam, Phys. Rev. E 72, 016616 (2005).
[CrossRef]

W.-W. Hsiang, C.-Y. Lin, M.-F. Tien, and Y. Lai, Opt. Lett. 30, 2493 (2005).
[CrossRef] [PubMed]

2003 (1)

2001 (2)

D. Y. Tang, W. S. Man, H. Y. Tam, and P. D. Drummond, Phys. Rev. A 64, 033814 (2001).
[CrossRef]

F. Gutty, P. Grelu, N. Huot, G. Vienne, and G. Millot, Electron. Lett. 37, 745 (2001).
[CrossRef]

2000 (1)

1997 (1)

N. N. Akhmediev, A. Ankiewicz, and J. M. Soto-Crespo, Phys. Rev. Lett. 79, 4047 (1997).
[CrossRef]

1993 (1)

1992 (2)

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

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

1991 (1)

B. A. Malomed, Phys. Rev. A 44, 6954 (1991).
[CrossRef] [PubMed]

1983 (1)

Akhmediev, N.

Akhmediev, N. N.

N. N. Akhmediev, A. Ankiewicz, and J. M. Soto-Crespo, Phys. Rev. Lett. 79, 4047 (1997).
[CrossRef]

Ankiewicz, A.

N. N. Akhmediev, A. Ankiewicz, and J. M. Soto-Crespo, Phys. Rev. Lett. 79, 4047 (1997).
[CrossRef]

Belhache, F.

Cleland, D.

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

Drummond, P. D.

D. Y. Tang, W. S. Man, H. Y. Tam, and P. D. Drummond, Phys. Rev. A 64, 033814 (2001).
[CrossRef]

Ellis, A.

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

Favre, F.

Georges, T.

Gordon, J. P.

Grelu, P.

J. M. Soto-Crespo, N. Akhmediev, P. Grelu, and F. Belhache, Opt. Lett. 28, 1757 (2003).
[CrossRef] [PubMed]

F. Gutty, P. Grelu, N. Huot, G. Vienne, and G. Millot, Electron. Lett. 37, 745 (2001).
[CrossRef]

Grudinin, A. B.

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

Gutty, F.

F. Gutty, P. Grelu, N. Huot, G. Vienne, and G. Millot, Electron. Lett. 37, 745 (2001).
[CrossRef]

Haus, H. A.

Hsiang, W.-W.

Huot, N.

F. Gutty, P. Grelu, N. Huot, G. Vienne, and G. Millot, Electron. Lett. 37, 745 (2001).
[CrossRef]

Ippen, E. P.

Lai, Y.

Lin, C.-Y.

Malomed, B. A.

B. A. Malomed, Phys. Rev. A 44, 6954 (1991).
[CrossRef] [PubMed]

Man, W. S.

D. Y. Tang, W. S. Man, H. Y. Tam, and P. D. Drummond, Phys. Rev. A 64, 033814 (2001).
[CrossRef]

Millot, G.

F. Gutty, P. Grelu, N. Huot, G. Vienne, and G. Millot, Electron. Lett. 37, 745 (2001).
[CrossRef]

Payne, D. N.

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

Richardson, D. J.

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

Shan, X.

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

Soto-Crespo, J. M.

J. M. Soto-Crespo, N. Akhmediev, P. Grelu, and F. Belhache, Opt. Lett. 28, 1757 (2003).
[CrossRef] [PubMed]

N. N. Akhmediev, A. Ankiewicz, and J. M. Soto-Crespo, Phys. Rev. Lett. 79, 4047 (1997).
[CrossRef]

Sysoliatin, A.

Tam, H. Y.

D. Y. Tang, B. Zhao, L. M. Zhao, and H. Y. Tam, Phys. Rev. E 72, 016616 (2005).
[CrossRef]

D. Y. Tang, W. S. Man, H. Y. Tam, and P. D. Drummond, Phys. Rev. A 64, 033814 (2001).
[CrossRef]

Tang, D. Y.

D. Y. Tang, B. Zhao, L. M. Zhao, and H. Y. Tam, Phys. Rev. E 72, 016616 (2005).
[CrossRef]

D. Y. Tang, W. S. Man, H. Y. Tam, and P. D. Drummond, Phys. Rev. A 64, 033814 (2001).
[CrossRef]

Tien, M.-F.

Vienne, G.

F. Gutty, P. Grelu, N. Huot, G. Vienne, and G. Millot, Electron. Lett. 37, 745 (2001).
[CrossRef]

Wong, W. S.

Yu, C. X.

Zhao, B.

D. Y. Tang, B. Zhao, L. M. Zhao, and H. Y. Tam, Phys. Rev. E 72, 016616 (2005).
[CrossRef]

Zhao, L. M.

D. Y. Tang, B. Zhao, L. M. Zhao, and H. Y. Tam, Phys. Rev. E 72, 016616 (2005).
[CrossRef]

Electron. Lett. (3)

F. Gutty, P. Grelu, N. Huot, G. Vienne, and G. Millot, Electron. Lett. 37, 745 (2001).
[CrossRef]

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

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

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

Opt. Lett. (4)

Phys. Rev. A (2)

B. A. Malomed, Phys. Rev. A 44, 6954 (1991).
[CrossRef] [PubMed]

D. Y. Tang, W. S. Man, H. Y. Tam, and P. D. Drummond, Phys. Rev. A 64, 033814 (2001).
[CrossRef]

Phys. Rev. E (1)

D. Y. Tang, B. Zhao, L. M. Zhao, and H. Y. Tam, Phys. Rev. E 72, 016616 (2005).
[CrossRef]

Phys. Rev. Lett. (1)

N. N. Akhmediev, A. Ankiewicz, and J. M. Soto-Crespo, Phys. Rev. Lett. 79, 4047 (1997).
[CrossRef]

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Figures (5)

Fig. 1
Fig. 1

Schematic of the mode-locked Er-fiber laser and the feedback control loop. PI, proportional and integral control module; PD, photodiode; BPF, bandpass filter; WDM, wavelength division multiplexer.

Fig. 2
Fig. 2

SHG autocorrelation trace of the bound soliton pair.

Fig. 3
Fig. 3

Optical spectrum of the bound soliton pair (solid curve, measurement; dots, fitting).

Fig. 4
Fig. 4

RF spectrum of the 10 GHz bound soliton pair, SMSR > 70 dB .

Fig. 5
Fig. 5

Time separation versus the rf power of the phase modulator (inset, timing diagram between the phase modulation signal and the bound soliton pair. M, modulation depth).

Equations (2)

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d Δ s d z = Δ ω ,
d Δ ω d z = 4 a 3 exp ( 2 Δ s ) ,

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