Abstract

On the basis of numerical simulation results, we put forward a way to realize harmonic passive mode locking of fiber lasers with an ultrahigh-repetition-rate pulse train. The equidistant distribution of ultrashort pulses filling the total laser cavity is due to bound-soliton mechanisms. In the case of large bound energy, such long soliton trains are very stable and have the ideal periodic structure as a soliton crystal.

© 2008 Optical Society of America

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    [CrossRef]
  9. A. Haboucha, A. Komarov, H. Leblond, F. Sanchez, and G. Martel, Opt. Fiber Technol. 14, 262 (2008).
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    [CrossRef]
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    [CrossRef]
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    [CrossRef]
  17. S. Rutz and F. Mitschke, J. Opt. B 2, 364 (2000).
    [CrossRef]
  18. A. Haboucha, H. Leblond, M. Salhi, A. Komarov, and F. Sanchez, Opt. Lett. 33, 524 (2008).
    [CrossRef] [PubMed]

2008

A. Haboucha, A. Komarov, H. Leblond, F. Sanchez, and G. Martel, Opt. Fiber Technol. 14, 262 (2008).
[CrossRef]

A. Komarov and F. Sanchez, Phys. Rev. E 77, 066201, 2008.
[CrossRef]

A. Haboucha, H. Leblond, M. Salhi, A. Komarov, and F. Sanchez, Opt. Lett. 33, 524 (2008).
[CrossRef] [PubMed]

2006

A. Komarov, H. Leblond, and F. Sanchez, Opt. Commun. 267, 162 (2006).
[CrossRef]

2005

B. Ortaç, A. Hideur, G. Martel, and M. Brunel, Appl. Phys. B 81, 507 (2005).
[CrossRef]

A. Komarov, H. Leblond, and F. Sanchez, Phys. Rev. A 71, 053809 (2005).
[CrossRef]

2004

B. Ortaç, A. Hideur, T. Chartier, M. Brunel, Ph. Grelu, H. Leblond, and F. Sanchez, IEEE Photon. Technol. Lett. 16, 1274 (2004).
[CrossRef]

2003

A. Hideur, B. Ortaç, T. Chartier, M. Brunel, H. Leblond, and F. Sanchez, Opt. Commun. 225, 71 (2003).
[CrossRef]

2002

2001

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

2000

1999

D. Y. Tang, W. S. Man, and H. Y. Tam, Opt. Commun. 165, 189 (1999).
[CrossRef]

1998

1997

V. V. Afanasjev, B. A. Malomed, and P. L. Chu, Phys. Rev. E 56, 6020 (1997).
[CrossRef]

1992

V. J. Matsas, T. P. Newson, D. J. Richardson, and D. N. Payne, Electron. Lett. 28, 1391 (1992).
[CrossRef]

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

Abedin, K. S.

Afanasjev, V. V.

V. V. Afanasjev, B. A. Malomed, and P. L. Chu, Phys. Rev. E 56, 6020 (1997).
[CrossRef]

Akhmediev, N. N.

Ankiewicz, A.

Belhache, F.

Brunel, M.

B. Ortaç, A. Hideur, G. Martel, and M. Brunel, Appl. Phys. B 81, 507 (2005).
[CrossRef]

B. Ortaç, A. Hideur, T. Chartier, M. Brunel, Ph. Grelu, H. Leblond, and F. Sanchez, IEEE Photon. Technol. Lett. 16, 1274 (2004).
[CrossRef]

A. Hideur, B. Ortaç, T. Chartier, M. Brunel, H. Leblond, and F. Sanchez, Opt. Commun. 225, 71 (2003).
[CrossRef]

Chartier, T.

B. Ortaç, A. Hideur, T. Chartier, M. Brunel, Ph. Grelu, H. Leblond, and F. Sanchez, IEEE Photon. Technol. Lett. 16, 1274 (2004).
[CrossRef]

A. Hideur, B. Ortaç, T. Chartier, M. Brunel, H. Leblond, and F. Sanchez, Opt. Commun. 225, 71 (2003).
[CrossRef]

Chu, P. L.

V. V. Afanasjev, B. A. Malomed, and P. L. Chu, Phys. Rev. E 56, 6020 (1997).
[CrossRef]

Drummond, P. D.

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

Gopinath, J. T.

Grein, M. E.

Grelu, P.

Grelu, Ph.

B. Ortaç, A. Hideur, T. Chartier, M. Brunel, Ph. Grelu, H. Leblond, and F. Sanchez, IEEE Photon. Technol. Lett. 16, 1274 (2004).
[CrossRef]

Grudinin, A. B.

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

Haboucha, A.

A. Haboucha, A. Komarov, H. Leblond, F. Sanchez, and G. Martel, Opt. Fiber Technol. 14, 262 (2008).
[CrossRef]

A. Haboucha, H. Leblond, M. Salhi, A. Komarov, and F. Sanchez, Opt. Lett. 33, 524 (2008).
[CrossRef] [PubMed]

Haus, H. A.

Hideur, A.

B. Ortaç, A. Hideur, G. Martel, and M. Brunel, Appl. Phys. B 81, 507 (2005).
[CrossRef]

B. Ortaç, A. Hideur, T. Chartier, M. Brunel, Ph. Grelu, H. Leblond, and F. Sanchez, IEEE Photon. Technol. Lett. 16, 1274 (2004).
[CrossRef]

A. Hideur, B. Ortaç, T. Chartier, M. Brunel, H. Leblond, and F. Sanchez, Opt. Commun. 225, 71 (2003).
[CrossRef]

Ippen, E. P.

Jiang, L. A.

Komarov, A.

A. Haboucha, A. Komarov, H. Leblond, F. Sanchez, and G. Martel, Opt. Fiber Technol. 14, 262 (2008).
[CrossRef]

A. Komarov and F. Sanchez, Phys. Rev. E 77, 066201, 2008.
[CrossRef]

A. Haboucha, H. Leblond, M. Salhi, A. Komarov, and F. Sanchez, Opt. Lett. 33, 524 (2008).
[CrossRef] [PubMed]

A. Komarov, H. Leblond, and F. Sanchez, Opt. Commun. 267, 162 (2006).
[CrossRef]

A. Komarov, H. Leblond, and F. Sanchez, Phys. Rev. A 71, 053809 (2005).
[CrossRef]

Leblond, H.

A. Haboucha, A. Komarov, H. Leblond, F. Sanchez, and G. Martel, Opt. Fiber Technol. 14, 262 (2008).
[CrossRef]

A. Haboucha, H. Leblond, M. Salhi, A. Komarov, and F. Sanchez, Opt. Lett. 33, 524 (2008).
[CrossRef] [PubMed]

A. Komarov, H. Leblond, and F. Sanchez, Opt. Commun. 267, 162 (2006).
[CrossRef]

A. Komarov, H. Leblond, and F. Sanchez, Phys. Rev. A 71, 053809 (2005).
[CrossRef]

B. Ortaç, A. Hideur, T. Chartier, M. Brunel, Ph. Grelu, H. Leblond, and F. Sanchez, IEEE Photon. Technol. Lett. 16, 1274 (2004).
[CrossRef]

A. Hideur, B. Ortaç, T. Chartier, M. Brunel, H. Leblond, and F. Sanchez, Opt. Commun. 225, 71 (2003).
[CrossRef]

Malomed, B. A.

V. V. Afanasjev, B. A. Malomed, and P. L. Chu, Phys. Rev. E 56, 6020 (1997).
[CrossRef]

Man, W. S.

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

D. Y. Tang, W. S. Man, and H. Y. Tam, Opt. Commun. 165, 189 (1999).
[CrossRef]

Martel, G.

A. Haboucha, A. Komarov, H. Leblond, F. Sanchez, and G. Martel, Opt. Fiber Technol. 14, 262 (2008).
[CrossRef]

B. Ortaç, A. Hideur, G. Martel, and M. Brunel, Appl. Phys. B 81, 507 (2005).
[CrossRef]

Matsas, V. J.

V. J. Matsas, T. P. Newson, D. J. Richardson, and D. N. Payne, Electron. Lett. 28, 1391 (1992).
[CrossRef]

Mitschke, F.

S. Rutz and F. Mitschke, J. Opt. B 2, 364 (2000).
[CrossRef]

Newson, T. P.

V. J. Matsas, T. P. Newson, D. J. Richardson, and D. N. Payne, Electron. Lett. 28, 1391 (1992).
[CrossRef]

Ortaç, B.

B. Ortaç, A. Hideur, G. Martel, and M. Brunel, Appl. Phys. B 81, 507 (2005).
[CrossRef]

B. Ortaç, A. Hideur, T. Chartier, M. Brunel, Ph. Grelu, H. Leblond, and F. Sanchez, IEEE Photon. Technol. Lett. 16, 1274 (2004).
[CrossRef]

A. Hideur, B. Ortaç, T. Chartier, M. Brunel, H. Leblond, and F. Sanchez, Opt. Commun. 225, 71 (2003).
[CrossRef]

Payne, D. N.

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

V. J. Matsas, T. P. Newson, D. J. Richardson, and D. N. Payne, Electron. Lett. 28, 1391 (1992).
[CrossRef]

Richardson, D. J.

V. J. Matsas, T. P. Newson, D. J. Richardson, and D. N. Payne, Electron. Lett. 28, 1391 (1992).
[CrossRef]

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

Rutz, S.

S. Rutz and F. Mitschke, J. Opt. B 2, 364 (2000).
[CrossRef]

Salhi, M.

Sanchez, F.

A. Haboucha, H. Leblond, M. Salhi, A. Komarov, and F. Sanchez, Opt. Lett. 33, 524 (2008).
[CrossRef] [PubMed]

A. Komarov and F. Sanchez, Phys. Rev. E 77, 066201, 2008.
[CrossRef]

A. Haboucha, A. Komarov, H. Leblond, F. Sanchez, and G. Martel, Opt. Fiber Technol. 14, 262 (2008).
[CrossRef]

A. Komarov, H. Leblond, and F. Sanchez, Opt. Commun. 267, 162 (2006).
[CrossRef]

A. Komarov, H. Leblond, and F. Sanchez, Phys. Rev. A 71, 053809 (2005).
[CrossRef]

B. Ortaç, A. Hideur, T. Chartier, M. Brunel, Ph. Grelu, H. Leblond, and F. Sanchez, IEEE Photon. Technol. Lett. 16, 1274 (2004).
[CrossRef]

A. Hideur, B. Ortaç, T. Chartier, M. Brunel, H. Leblond, and F. Sanchez, Opt. Commun. 225, 71 (2003).
[CrossRef]

Soto-Crespo, J. M.

Sysoliatin, A.

Tam, H. Y.

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

D. Y. Tang, W. S. Man, and H. Y. Tam, Opt. Commun. 165, 189 (1999).
[CrossRef]

Tang, D. Y.

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

D. Y. Tang, W. S. Man, and H. Y. Tam, Opt. Commun. 165, 189 (1999).
[CrossRef]

Wong, W. S.

Yu, C. X.

Appl. Phys. B

B. Ortaç, A. Hideur, G. Martel, and M. Brunel, Appl. Phys. B 81, 507 (2005).
[CrossRef]

Electron. Lett.

V. J. Matsas, T. P. Newson, D. J. Richardson, and D. N. Payne, Electron. Lett. 28, 1391 (1992).
[CrossRef]

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

IEEE Photon. Technol. Lett.

B. Ortaç, A. Hideur, T. Chartier, M. Brunel, Ph. Grelu, H. Leblond, and F. Sanchez, IEEE Photon. Technol. Lett. 16, 1274 (2004).
[CrossRef]

J. Opt. B

S. Rutz and F. Mitschke, J. Opt. B 2, 364 (2000).
[CrossRef]

J. Opt. Soc. Am. B

Opt. Commun.

D. Y. Tang, W. S. Man, and H. Y. Tam, Opt. Commun. 165, 189 (1999).
[CrossRef]

A. Komarov, H. Leblond, and F. Sanchez, Opt. Commun. 267, 162 (2006).
[CrossRef]

A. Hideur, B. Ortaç, T. Chartier, M. Brunel, H. Leblond, and F. Sanchez, Opt. Commun. 225, 71 (2003).
[CrossRef]

Opt. Fiber Technol.

A. Haboucha, A. Komarov, H. Leblond, F. Sanchez, and G. Martel, Opt. Fiber Technol. 14, 262 (2008).
[CrossRef]

Opt. Lett.

Phys. Rev. A

A. Komarov, H. Leblond, and F. Sanchez, Phys. Rev. A 71, 053809 (2005).
[CrossRef]

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

Phys. Rev. E

V. V. Afanasjev, B. A. Malomed, and P. L. Chu, Phys. Rev. E 56, 6020 (1997).
[CrossRef]

A. Komarov and F. Sanchez, Phys. Rev. E 77, 066201, 2008.
[CrossRef]

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Figures (5)

Fig. 1
Fig. 1

Schematic of the investigated laser. The ring laser resonator consists of the fiber gain medium, polarizer, two quarter-wave plates and one half-wave plate; α 1 , α 2 , and α 3 are the orientation angles of the phase plates.

Fig. 2
Fig. 2

(a) Temporal and (b) spectral distributions of radiation for a single steady-state soliton in the fiber laser with anomalous frequency dispersion of the intracavity medium. The upper right inset in (a) shows the multiplied soliton pedestal. In all figures we use arbitrary units, a = 1.1 , q = 2 , D i = 0.13 , α 0 = 0.2 , α 1 = 1.64 , and α 3 = 0.2 . D r is determined by the amplification medium D r = D r 0 G , D r 0 = 0.085 .

Fig. 3
Fig. 3

Temporal distributions of intensity for (a) ground state, with minimal distance between solitons and for (b) first excited state for a pair of bound solitons. The laser parameters are the same as in the case of Fig. 2.

Fig. 4
Fig. 4

(a) Temporal and (b) spectral distributions of intensity for the long train of equidistant bound solitons (154 ultrashort pulses) a = 3.8 ; the other parameters are the same as in the case of Fig. 2.

Fig. 5
Fig. 5

Modeling of the regime of harmonic passive mode locking due to the bound-soliton mechanism (314 ultrashort pulses) a = 7 ; the other parameters are the same as in the case of Fig. 2.

Equations (2)

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E ζ = ( D r + i D i ) 2 E τ 2 + ( G + i q E 2 ) E ,
E n + 1 ( τ ) = η [ cos ( p I n + α 0 ) cos ( α 1 α 3 ) + i sin ( p I n + α 0 ) sin ( α 1 + α 3 ) ] E n ( τ ) ,

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