Abstract

We report for the first time, rogue waves generation in a mode-locked fiber laser that worked in multiple-soliton state in which hundreds of solitons occupied the whole laser cavity. Using real-time spatio-temporal intensity dynamics measurements, it is unveiled that nonlinear soliton collision accounts for the formation of rogue waves in this laser state. The nature of interactions between solitons are also discussed. Our observation may suggest similar formation mechanisms of rogue waves in other systems.

© 2016 Optical Society of America

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References

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    [Crossref] [PubMed]
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2015 (15)

M. I. Afzal, K. Alameh, and Y. T. Lee, “Blue-Shifted rogue waves generation in normal dispersion fiber laser,” IEEE Photonics Technol. Lett. 27(22), 2323–2326 (2015).
[Crossref]

M. Erkintalo, K. Luo, J. K. Jang, S. Coen, and S. G. Murdoch, “Bunching of temporal cavity solitons via forward Brillouin scattering,” New J. Phys. 17(11), 115009 (2015).
[Crossref]

J. K. Jang, M. Erkintalo, S. Coen, and S. G. Murdoch, “Temporal tweezing of light through the trapping and manipulation of temporal cavity solitons,” Nat. Commun. 6(6), 7370 (2015).
[Crossref] [PubMed]

B. Garbin, J. Javaloyes, G. Tissoni, and S. Barland, “Topological solitons as addressable phase bits in a driven laser,” Nat. Commun. 6(1), 5915 (2015).
[Crossref] [PubMed]

M. Marconi, J. Javaloyes, S. Barland, S. Balle, and M. Giudici, “Vectorial dissipative solitons in vertical-cavity surface-emitting lasers with delays,” Nat. Photonics 9(7), 450–455 (2015).
[Crossref]

F. Gustave, L. Columbo, G. Tissoni, M. Brambilla, F. Prati, B. Kelleher, B. Tykalewicz, and S. Barland, “Dissipative phase solitons in semiconductor lasers,” Phys. Rev. Lett. 115(4), 043902 (2015).
[Crossref] [PubMed]

D. V. Churkin, S. Sugavanam, N. Tarasov, S. Khorev, S. V. Smirnov, S. M. Kobtsev, and S. K. Turitsyn, “Stochasticity, periodicity and localized light structures in partially mode-locked fibre lasers,” Nat. Commun. 6(5), 7004 (2015).
[Crossref] [PubMed]

S. Sugavanam, N. Tarasov, S. Wabnitz, and D. V. Churkin, “Ginzburg–Landau turbulence in quasi‐CW Raman fiber lasers,” Laser Photonics Rev. 9(6), L35–L39 (2015).
[Crossref]

A. F. Runge, N. G. Broderick, and M. Erkintalo, “Observation of soliton explosions in a passively mode-locked fiber laser,” Optica 2(1), 36–39 (2015).
[Crossref]

Z. Liu, S. Zhang, and F. W. Wise, “Rogue waves in a normal-dispersion fiber laser,” Opt. Lett. 40(7), 1366–1369 (2015).
[Crossref] [PubMed]

H. Kalaycıoğlu, Ö. Akçaalan, S. Yavaş, Y. Eldeniz, and F. Ilday, “Burst-mode Yb-doped fiber amplifier system optimized for low-repetition-rate operation,” J. Opt. Soc. Am. B 32(5), 900–906 (2015).
[Crossref]

D. A. Korobko, O. G. Okhotnikov, and I. O. Zolotovskii, “Long-range soliton interactions through gain-absorption depletion and recovery,” Opt. Lett. 40(12), 2862–2865 (2015).
[Crossref] [PubMed]

N. Tarasov, S. Sugavanam, and D. Churkin, “Spatio-temporal generation regimes in quasi-CW Raman fiber lasers,” Opt. Express 23(19), 24189–24194 (2015).
[Crossref] [PubMed]

J. K. Jang, M. Erkintalo, S. G. Murdoch, and S. Coen, “Writing and erasing of temporal cavity solitons by direct phase modulation of the cavity driving field,” Opt. Lett. 40(20), 4755–4758 (2015).
[Crossref] [PubMed]

M. Liu, Z. R. Cai, S. Hu, A. P. Luo, C. J. Zhao, H. Zhang, W. C. Xu, and Z. C. Luo, “Dissipative rogue waves induced by long-range chaotic multi-pulse interactions in a fiber laser with a topological insulator-deposited microfiber photonic device,” Opt. Lett. 40(20), 4767–4770 (2015).
[Crossref] [PubMed]

2014 (2)

C. Lecaplain and P. Grelu, “Rogue waves among noiselike-pulse laser emission: an experimental investigation,” Phys. Rev. A 90(1), 013805 (2014).
[Crossref]

A. F. Runge, C. Aguergaray, N. G. Broderick, and M. Erkintalo, “Raman rogue waves in a partially mode-locked fiber laser,” Opt. Lett. 39(2), 319–322 (2014).
[Crossref] [PubMed]

2013 (3)

N. Akhmediev, J. Dudley, D. Solli, and S. Turitsyn, “Recent progress in investigating optical rogue waves,” J. Opt. 15(6), 060201 (2013).
[Crossref]

E. Turitsyna, S. Smirnov, S. Sugavanam, N. Tarasov, X. Shu, S. Babin, E. Podivilov, D. Churkin, G. Falkovich, and S. Turitsyn, “The laminar-turbulent transition in a fibre laser,” Nat. Photonics 7(10), 783–786 (2013).
[Crossref]

J. K. Jang, M. Erkintalo, S. G. Murdoch, and S. Coen, “Ultraweak long-range interactions of solitons observed over astronomical distances,” Nat. Photonics 7(8), 657–663 (2013).
[Crossref]

2012 (2)

A. Zaviyalov, O. Egorov, R. Iliew, and F. Lederer, “Rogue waves in mode-locked fiber lasers,” Phys. Rev. A 85(1), 013828 (2012).
[Crossref]

C. Lecaplain, P. Grelu, J. M. Soto-Crespo, and N. Akhmediev, “Dissipative rogue waves generated by chaotic pulse bunching in a mode-locked laser,” Phys. Rev. Lett. 108(23), 233901 (2012).
[Crossref] [PubMed]

2011 (4)

J. M. Soto-Crespo, P. Grelu, and N. Akhmediev, “Dissipative rogue waves: extreme pulses generated by passively mode-locked lasers,” Phys. Rev. E Stat. Nonlin. Soft Matter Phys. 84(1), 016604 (2011).
[Crossref] [PubMed]

A. Chabchoub, N. P. Hoffmann, and N. Akhmediev, “Rogue wave observation in a water wave tank,” Phys. Rev. Lett. 106(20), 204502 (2011).
[Crossref] [PubMed]

F. Amrani, M. Salhi, P. Grelu, H. Leblond, and F. Sanchez, “Universal soliton pattern formations in passively mode-locked fiber lasers,” Opt. Lett. 36(9), 1545–1547 (2011).
[Crossref] [PubMed]

H. Kalaycioglu, K. Eken, and F. Ö. Ilday, “Fiber amplification of pulse bursts up to 20 μJ pulse energy at 1 kHz repetition rate,” Opt. Lett. 36(17), 3383–3385 (2011).
[Crossref] [PubMed]

2010 (2)

N. Akhmediev and E. Pelinovsky, “Editorial–Introductory remarks on “Discussion & Debate: Rogue waves–towards a unifying concept?”,” Eur. Phys. J. Spec. Top. 185(1), 1–4 (2010).
[Crossref]

F. Amrani, A. Haboucha, M. Salhi, H. Leblond, A. Komarov, and F. Sanchez, “Dissipative solitons compounds in a fiber laser. Analogy with the states of the matter,” Appl. Phys. B 99(1–2), 107–114 (2010).
[Crossref]

2009 (1)

2007 (1)

D. R. Solli, C. Ropers, P. Koonath, and B. Jalali, “Optical rogue waves,” Nature 450(7172), 1054–1057 (2007).
[Crossref] [PubMed]

2005 (1)

D. Y. Tang, B. Zhao, L. M. Zhao, and H. Y. Tam, “Soliton interaction in a fiber ring laser,” Phys. Rev. E Stat. Nonlin. Soft Matter Phys. 72(1), 016616 (2005).
[Crossref] [PubMed]

1994 (1)

1992 (3)

E. Dianov, A. Luchnikov, A. Pilipetskii, and A. Prokhorov, “Long-range interaction of picosecond solitons through excitation of acoustic waves in optical fibers,” Appl. Phys. B 54(2), 175–180 (1992).
[Crossref]

S. Kelly, “Characteristic sideband instability of periodically amplified average soliton,” Electron. Lett. 28(8), 806–807 (1992).
[Crossref]

F. T. Arecchi, G. Giacomelli, A. Lapucci, and R. Meucci, “Two-dimensional representation of a delayed dynamical system,” Phys. Rev. A 45(7), 4225–4228 (1992).
[Crossref] [PubMed]

1991 (1)

D. Richardson, R. Laming, D. N. Payne, V. J. Matsas, and M. W. Phillips, “Pulse repetition-rates in a passive, self-starting, femtosecond soliton fibre laser,” Electron. Lett. 27(16), 1451–1453 (1991).
[Crossref]

1989 (1)

1987 (1)

1983 (1)

Afanasjev, V. V.

Afzal, M. I.

M. I. Afzal, K. Alameh, and Y. T. Lee, “Blue-Shifted rogue waves generation in normal dispersion fiber laser,” IEEE Photonics Technol. Lett. 27(22), 2323–2326 (2015).
[Crossref]

Aguergaray, C.

Akçaalan, Ö.

Akhmediev, N.

N. Akhmediev, J. Dudley, D. Solli, and S. Turitsyn, “Recent progress in investigating optical rogue waves,” J. Opt. 15(6), 060201 (2013).
[Crossref]

C. Lecaplain, P. Grelu, J. M. Soto-Crespo, and N. Akhmediev, “Dissipative rogue waves generated by chaotic pulse bunching in a mode-locked laser,” Phys. Rev. Lett. 108(23), 233901 (2012).
[Crossref] [PubMed]

J. M. Soto-Crespo, P. Grelu, and N. Akhmediev, “Dissipative rogue waves: extreme pulses generated by passively mode-locked lasers,” Phys. Rev. E Stat. Nonlin. Soft Matter Phys. 84(1), 016604 (2011).
[Crossref] [PubMed]

A. Chabchoub, N. P. Hoffmann, and N. Akhmediev, “Rogue wave observation in a water wave tank,” Phys. Rev. Lett. 106(20), 204502 (2011).
[Crossref] [PubMed]

N. Akhmediev and E. Pelinovsky, “Editorial–Introductory remarks on “Discussion & Debate: Rogue waves–towards a unifying concept?”,” Eur. Phys. J. Spec. Top. 185(1), 1–4 (2010).
[Crossref]

Alameh, K.

M. I. Afzal, K. Alameh, and Y. T. Lee, “Blue-Shifted rogue waves generation in normal dispersion fiber laser,” IEEE Photonics Technol. Lett. 27(22), 2323–2326 (2015).
[Crossref]

Amrani, F.

F. Amrani, M. Salhi, P. Grelu, H. Leblond, and F. Sanchez, “Universal soliton pattern formations in passively mode-locked fiber lasers,” Opt. Lett. 36(9), 1545–1547 (2011).
[Crossref] [PubMed]

F. Amrani, A. Haboucha, M. Salhi, H. Leblond, A. Komarov, and F. Sanchez, “Dissipative solitons compounds in a fiber laser. Analogy with the states of the matter,” Appl. Phys. B 99(1–2), 107–114 (2010).
[Crossref]

Arecchi, F. T.

F. T. Arecchi, G. Giacomelli, A. Lapucci, and R. Meucci, “Two-dimensional representation of a delayed dynamical system,” Phys. Rev. A 45(7), 4225–4228 (1992).
[Crossref] [PubMed]

Babin, S.

E. Turitsyna, S. Smirnov, S. Sugavanam, N. Tarasov, X. Shu, S. Babin, E. Podivilov, D. Churkin, G. Falkovich, and S. Turitsyn, “The laminar-turbulent transition in a fibre laser,” Nat. Photonics 7(10), 783–786 (2013).
[Crossref]

Balle, S.

M. Marconi, J. Javaloyes, S. Barland, S. Balle, and M. Giudici, “Vectorial dissipative solitons in vertical-cavity surface-emitting lasers with delays,” Nat. Photonics 9(7), 450–455 (2015).
[Crossref]

Barland, S.

M. Marconi, J. Javaloyes, S. Barland, S. Balle, and M. Giudici, “Vectorial dissipative solitons in vertical-cavity surface-emitting lasers with delays,” Nat. Photonics 9(7), 450–455 (2015).
[Crossref]

F. Gustave, L. Columbo, G. Tissoni, M. Brambilla, F. Prati, B. Kelleher, B. Tykalewicz, and S. Barland, “Dissipative phase solitons in semiconductor lasers,” Phys. Rev. Lett. 115(4), 043902 (2015).
[Crossref] [PubMed]

B. Garbin, J. Javaloyes, G. Tissoni, and S. Barland, “Topological solitons as addressable phase bits in a driven laser,” Nat. Commun. 6(1), 5915 (2015).
[Crossref] [PubMed]

Brambilla, M.

F. Gustave, L. Columbo, G. Tissoni, M. Brambilla, F. Prati, B. Kelleher, B. Tykalewicz, and S. Barland, “Dissipative phase solitons in semiconductor lasers,” Phys. Rev. Lett. 115(4), 043902 (2015).
[Crossref] [PubMed]

Broderick, N. G.

Cai, Z. R.

Chabchoub, A.

A. Chabchoub, N. P. Hoffmann, and N. Akhmediev, “Rogue wave observation in a water wave tank,” Phys. Rev. Lett. 106(20), 204502 (2011).
[Crossref] [PubMed]

Churkin, D.

N. Tarasov, S. Sugavanam, and D. Churkin, “Spatio-temporal generation regimes in quasi-CW Raman fiber lasers,” Opt. Express 23(19), 24189–24194 (2015).
[Crossref] [PubMed]

E. Turitsyna, S. Smirnov, S. Sugavanam, N. Tarasov, X. Shu, S. Babin, E. Podivilov, D. Churkin, G. Falkovich, and S. Turitsyn, “The laminar-turbulent transition in a fibre laser,” Nat. Photonics 7(10), 783–786 (2013).
[Crossref]

Churkin, D. V.

S. Sugavanam, N. Tarasov, S. Wabnitz, and D. V. Churkin, “Ginzburg–Landau turbulence in quasi‐CW Raman fiber lasers,” Laser Photonics Rev. 9(6), L35–L39 (2015).
[Crossref]

D. V. Churkin, S. Sugavanam, N. Tarasov, S. Khorev, S. V. Smirnov, S. M. Kobtsev, and S. K. Turitsyn, “Stochasticity, periodicity and localized light structures in partially mode-locked fibre lasers,” Nat. Commun. 6(5), 7004 (2015).
[Crossref] [PubMed]

Coen, S.

J. K. Jang, M. Erkintalo, S. Coen, and S. G. Murdoch, “Temporal tweezing of light through the trapping and manipulation of temporal cavity solitons,” Nat. Commun. 6(6), 7370 (2015).
[Crossref] [PubMed]

M. Erkintalo, K. Luo, J. K. Jang, S. Coen, and S. G. Murdoch, “Bunching of temporal cavity solitons via forward Brillouin scattering,” New J. Phys. 17(11), 115009 (2015).
[Crossref]

J. K. Jang, M. Erkintalo, S. G. Murdoch, and S. Coen, “Writing and erasing of temporal cavity solitons by direct phase modulation of the cavity driving field,” Opt. Lett. 40(20), 4755–4758 (2015).
[Crossref] [PubMed]

J. K. Jang, M. Erkintalo, S. G. Murdoch, and S. Coen, “Ultraweak long-range interactions of solitons observed over astronomical distances,” Nat. Photonics 7(8), 657–663 (2013).
[Crossref]

Columbo, L.

F. Gustave, L. Columbo, G. Tissoni, M. Brambilla, F. Prati, B. Kelleher, B. Tykalewicz, and S. Barland, “Dissipative phase solitons in semiconductor lasers,” Phys. Rev. Lett. 115(4), 043902 (2015).
[Crossref] [PubMed]

Dianov, E.

E. Dianov, A. Luchnikov, A. Pilipetskii, and A. Prokhorov, “Long-range interaction of picosecond solitons through excitation of acoustic waves in optical fibers,” Appl. Phys. B 54(2), 175–180 (1992).
[Crossref]

Dudley, J.

N. Akhmediev, J. Dudley, D. Solli, and S. Turitsyn, “Recent progress in investigating optical rogue waves,” J. Opt. 15(6), 060201 (2013).
[Crossref]

Egorov, O.

A. Zaviyalov, O. Egorov, R. Iliew, and F. Lederer, “Rogue waves in mode-locked fiber lasers,” Phys. Rev. A 85(1), 013828 (2012).
[Crossref]

Eken, K.

Eldeniz, Y.

Erkintalo, M.

A. F. Runge, N. G. Broderick, and M. Erkintalo, “Observation of soliton explosions in a passively mode-locked fiber laser,” Optica 2(1), 36–39 (2015).
[Crossref]

J. K. Jang, M. Erkintalo, S. G. Murdoch, and S. Coen, “Writing and erasing of temporal cavity solitons by direct phase modulation of the cavity driving field,” Opt. Lett. 40(20), 4755–4758 (2015).
[Crossref] [PubMed]

M. Erkintalo, K. Luo, J. K. Jang, S. Coen, and S. G. Murdoch, “Bunching of temporal cavity solitons via forward Brillouin scattering,” New J. Phys. 17(11), 115009 (2015).
[Crossref]

J. K. Jang, M. Erkintalo, S. Coen, and S. G. Murdoch, “Temporal tweezing of light through the trapping and manipulation of temporal cavity solitons,” Nat. Commun. 6(6), 7370 (2015).
[Crossref] [PubMed]

A. F. Runge, C. Aguergaray, N. G. Broderick, and M. Erkintalo, “Raman rogue waves in a partially mode-locked fiber laser,” Opt. Lett. 39(2), 319–322 (2014).
[Crossref] [PubMed]

J. K. Jang, M. Erkintalo, S. G. Murdoch, and S. Coen, “Ultraweak long-range interactions of solitons observed over astronomical distances,” Nat. Photonics 7(8), 657–663 (2013).
[Crossref]

Falkovich, G.

E. Turitsyna, S. Smirnov, S. Sugavanam, N. Tarasov, X. Shu, S. Babin, E. Podivilov, D. Churkin, G. Falkovich, and S. Turitsyn, “The laminar-turbulent transition in a fibre laser,” Nat. Photonics 7(10), 783–786 (2013).
[Crossref]

Garbin, B.

B. Garbin, J. Javaloyes, G. Tissoni, and S. Barland, “Topological solitons as addressable phase bits in a driven laser,” Nat. Commun. 6(1), 5915 (2015).
[Crossref] [PubMed]

Giacomelli, G.

F. T. Arecchi, G. Giacomelli, A. Lapucci, and R. Meucci, “Two-dimensional representation of a delayed dynamical system,” Phys. Rev. A 45(7), 4225–4228 (1992).
[Crossref] [PubMed]

Giudici, M.

M. Marconi, J. Javaloyes, S. Barland, S. Balle, and M. Giudici, “Vectorial dissipative solitons in vertical-cavity surface-emitting lasers with delays,” Nat. Photonics 9(7), 450–455 (2015).
[Crossref]

Gordon, J. P.

Grelu, P.

C. Lecaplain and P. Grelu, “Rogue waves among noiselike-pulse laser emission: an experimental investigation,” Phys. Rev. A 90(1), 013805 (2014).
[Crossref]

C. Lecaplain, P. Grelu, J. M. Soto-Crespo, and N. Akhmediev, “Dissipative rogue waves generated by chaotic pulse bunching in a mode-locked laser,” Phys. Rev. Lett. 108(23), 233901 (2012).
[Crossref] [PubMed]

F. Amrani, M. Salhi, P. Grelu, H. Leblond, and F. Sanchez, “Universal soliton pattern formations in passively mode-locked fiber lasers,” Opt. Lett. 36(9), 1545–1547 (2011).
[Crossref] [PubMed]

J. M. Soto-Crespo, P. Grelu, and N. Akhmediev, “Dissipative rogue waves: extreme pulses generated by passively mode-locked lasers,” Phys. Rev. E Stat. Nonlin. Soft Matter Phys. 84(1), 016604 (2011).
[Crossref] [PubMed]

Grudinin, A. B.

Gustave, F.

F. Gustave, L. Columbo, G. Tissoni, M. Brambilla, F. Prati, B. Kelleher, B. Tykalewicz, and S. Barland, “Dissipative phase solitons in semiconductor lasers,” Phys. Rev. Lett. 115(4), 043902 (2015).
[Crossref] [PubMed]

Haboucha, A.

F. Amrani, A. Haboucha, M. Salhi, H. Leblond, A. Komarov, and F. Sanchez, “Dissipative solitons compounds in a fiber laser. Analogy with the states of the matter,” Appl. Phys. B 99(1–2), 107–114 (2010).
[Crossref]

Hoffmann, N. P.

A. Chabchoub, N. P. Hoffmann, and N. Akhmediev, “Rogue wave observation in a water wave tank,” Phys. Rev. Lett. 106(20), 204502 (2011).
[Crossref] [PubMed]

Hu, S.

Ilday, F.

Ilday, F. Ö.

Iliew, R.

A. Zaviyalov, O. Egorov, R. Iliew, and F. Lederer, “Rogue waves in mode-locked fiber lasers,” Phys. Rev. A 85(1), 013828 (2012).
[Crossref]

Jalali, B.

D. R. Solli, C. Ropers, P. Koonath, and B. Jalali, “Optical rogue waves,” Nature 450(7172), 1054–1057 (2007).
[Crossref] [PubMed]

Jang, J. K.

J. K. Jang, M. Erkintalo, S. G. Murdoch, and S. Coen, “Writing and erasing of temporal cavity solitons by direct phase modulation of the cavity driving field,” Opt. Lett. 40(20), 4755–4758 (2015).
[Crossref] [PubMed]

M. Erkintalo, K. Luo, J. K. Jang, S. Coen, and S. G. Murdoch, “Bunching of temporal cavity solitons via forward Brillouin scattering,” New J. Phys. 17(11), 115009 (2015).
[Crossref]

J. K. Jang, M. Erkintalo, S. Coen, and S. G. Murdoch, “Temporal tweezing of light through the trapping and manipulation of temporal cavity solitons,” Nat. Commun. 6(6), 7370 (2015).
[Crossref] [PubMed]

J. K. Jang, M. Erkintalo, S. G. Murdoch, and S. Coen, “Ultraweak long-range interactions of solitons observed over astronomical distances,” Nat. Photonics 7(8), 657–663 (2013).
[Crossref]

Javaloyes, J.

B. Garbin, J. Javaloyes, G. Tissoni, and S. Barland, “Topological solitons as addressable phase bits in a driven laser,” Nat. Commun. 6(1), 5915 (2015).
[Crossref] [PubMed]

M. Marconi, J. Javaloyes, S. Barland, S. Balle, and M. Giudici, “Vectorial dissipative solitons in vertical-cavity surface-emitting lasers with delays,” Nat. Photonics 9(7), 450–455 (2015).
[Crossref]

Kalaycioglu, H.

Kelleher, B.

F. Gustave, L. Columbo, G. Tissoni, M. Brambilla, F. Prati, B. Kelleher, B. Tykalewicz, and S. Barland, “Dissipative phase solitons in semiconductor lasers,” Phys. Rev. Lett. 115(4), 043902 (2015).
[Crossref] [PubMed]

Kelly, S.

S. Kelly, “Characteristic sideband instability of periodically amplified average soliton,” Electron. Lett. 28(8), 806–807 (1992).
[Crossref]

Khorev, S.

D. V. Churkin, S. Sugavanam, N. Tarasov, S. Khorev, S. V. Smirnov, S. M. Kobtsev, and S. K. Turitsyn, “Stochasticity, periodicity and localized light structures in partially mode-locked fibre lasers,” Nat. Commun. 6(5), 7004 (2015).
[Crossref] [PubMed]

Kobtsev, S. M.

D. V. Churkin, S. Sugavanam, N. Tarasov, S. Khorev, S. V. Smirnov, S. M. Kobtsev, and S. K. Turitsyn, “Stochasticity, periodicity and localized light structures in partially mode-locked fibre lasers,” Nat. Commun. 6(5), 7004 (2015).
[Crossref] [PubMed]

Komarov, A.

F. Amrani, A. Haboucha, M. Salhi, H. Leblond, A. Komarov, and F. Sanchez, “Dissipative solitons compounds in a fiber laser. Analogy with the states of the matter,” Appl. Phys. B 99(1–2), 107–114 (2010).
[Crossref]

Koonath, P.

D. R. Solli, C. Ropers, P. Koonath, and B. Jalali, “Optical rogue waves,” Nature 450(7172), 1054–1057 (2007).
[Crossref] [PubMed]

Korobko, D. A.

Laming, R.

D. Richardson, R. Laming, D. N. Payne, V. J. Matsas, and M. W. Phillips, “Pulse repetition-rates in a passive, self-starting, femtosecond soliton fibre laser,” Electron. Lett. 27(16), 1451–1453 (1991).
[Crossref]

Lapucci, A.

F. T. Arecchi, G. Giacomelli, A. Lapucci, and R. Meucci, “Two-dimensional representation of a delayed dynamical system,” Phys. Rev. A 45(7), 4225–4228 (1992).
[Crossref] [PubMed]

Leblond, H.

F. Amrani, M. Salhi, P. Grelu, H. Leblond, and F. Sanchez, “Universal soliton pattern formations in passively mode-locked fiber lasers,” Opt. Lett. 36(9), 1545–1547 (2011).
[Crossref] [PubMed]

F. Amrani, A. Haboucha, M. Salhi, H. Leblond, A. Komarov, and F. Sanchez, “Dissipative solitons compounds in a fiber laser. Analogy with the states of the matter,” Appl. Phys. B 99(1–2), 107–114 (2010).
[Crossref]

Lecaplain, C.

C. Lecaplain and P. Grelu, “Rogue waves among noiselike-pulse laser emission: an experimental investigation,” Phys. Rev. A 90(1), 013805 (2014).
[Crossref]

C. Lecaplain, P. Grelu, J. M. Soto-Crespo, and N. Akhmediev, “Dissipative rogue waves generated by chaotic pulse bunching in a mode-locked laser,” Phys. Rev. Lett. 108(23), 233901 (2012).
[Crossref] [PubMed]

Lederer, F.

A. Zaviyalov, O. Egorov, R. Iliew, and F. Lederer, “Rogue waves in mode-locked fiber lasers,” Phys. Rev. A 85(1), 013828 (2012).
[Crossref]

Lee, Y. T.

M. I. Afzal, K. Alameh, and Y. T. Lee, “Blue-Shifted rogue waves generation in normal dispersion fiber laser,” IEEE Photonics Technol. Lett. 27(22), 2323–2326 (2015).
[Crossref]

Liu, M.

Liu, Z.

Loh, W. H.

Luchnikov, A.

E. Dianov, A. Luchnikov, A. Pilipetskii, and A. Prokhorov, “Long-range interaction of picosecond solitons through excitation of acoustic waves in optical fibers,” Appl. Phys. B 54(2), 175–180 (1992).
[Crossref]

Luo, A. P.

Luo, K.

M. Erkintalo, K. Luo, J. K. Jang, S. Coen, and S. G. Murdoch, “Bunching of temporal cavity solitons via forward Brillouin scattering,” New J. Phys. 17(11), 115009 (2015).
[Crossref]

Luo, Z. C.

Marconi, M.

M. Marconi, J. Javaloyes, S. Barland, S. Balle, and M. Giudici, “Vectorial dissipative solitons in vertical-cavity surface-emitting lasers with delays,” Nat. Photonics 9(7), 450–455 (2015).
[Crossref]

Matsas, V. J.

D. Richardson, R. Laming, D. N. Payne, V. J. Matsas, and M. W. Phillips, “Pulse repetition-rates in a passive, self-starting, femtosecond soliton fibre laser,” Electron. Lett. 27(16), 1451–1453 (1991).
[Crossref]

Meucci, R.

F. T. Arecchi, G. Giacomelli, A. Lapucci, and R. Meucci, “Two-dimensional representation of a delayed dynamical system,” Phys. Rev. A 45(7), 4225–4228 (1992).
[Crossref] [PubMed]

Mitschke, F. M.

Mollenauer, L. F.

Murdoch, S. G.

J. K. Jang, M. Erkintalo, S. Coen, and S. G. Murdoch, “Temporal tweezing of light through the trapping and manipulation of temporal cavity solitons,” Nat. Commun. 6(6), 7370 (2015).
[Crossref] [PubMed]

M. Erkintalo, K. Luo, J. K. Jang, S. Coen, and S. G. Murdoch, “Bunching of temporal cavity solitons via forward Brillouin scattering,” New J. Phys. 17(11), 115009 (2015).
[Crossref]

J. K. Jang, M. Erkintalo, S. G. Murdoch, and S. Coen, “Writing and erasing of temporal cavity solitons by direct phase modulation of the cavity driving field,” Opt. Lett. 40(20), 4755–4758 (2015).
[Crossref] [PubMed]

J. K. Jang, M. Erkintalo, S. G. Murdoch, and S. Coen, “Ultraweak long-range interactions of solitons observed over astronomical distances,” Nat. Photonics 7(8), 657–663 (2013).
[Crossref]

Okhotnikov, O. G.

Payne, D. N.

W. H. Loh, A. B. Grudinin, V. V. Afanasjev, and D. N. Payne, “Soliton interaction in the presence of a weak nonsoliton component,” Opt. Lett. 19(10), 698–700 (1994).
[Crossref] [PubMed]

D. Richardson, R. Laming, D. N. Payne, V. J. Matsas, and M. W. Phillips, “Pulse repetition-rates in a passive, self-starting, femtosecond soliton fibre laser,” Electron. Lett. 27(16), 1451–1453 (1991).
[Crossref]

Pelinovsky, E.

N. Akhmediev and E. Pelinovsky, “Editorial–Introductory remarks on “Discussion & Debate: Rogue waves–towards a unifying concept?”,” Eur. Phys. J. Spec. Top. 185(1), 1–4 (2010).
[Crossref]

Phillips, M. W.

D. Richardson, R. Laming, D. N. Payne, V. J. Matsas, and M. W. Phillips, “Pulse repetition-rates in a passive, self-starting, femtosecond soliton fibre laser,” Electron. Lett. 27(16), 1451–1453 (1991).
[Crossref]

Pilipetskii, A.

E. Dianov, A. Luchnikov, A. Pilipetskii, and A. Prokhorov, “Long-range interaction of picosecond solitons through excitation of acoustic waves in optical fibers,” Appl. Phys. B 54(2), 175–180 (1992).
[Crossref]

Podivilov, E.

E. Turitsyna, S. Smirnov, S. Sugavanam, N. Tarasov, X. Shu, S. Babin, E. Podivilov, D. Churkin, G. Falkovich, and S. Turitsyn, “The laminar-turbulent transition in a fibre laser,” Nat. Photonics 7(10), 783–786 (2013).
[Crossref]

Prati, F.

F. Gustave, L. Columbo, G. Tissoni, M. Brambilla, F. Prati, B. Kelleher, B. Tykalewicz, and S. Barland, “Dissipative phase solitons in semiconductor lasers,” Phys. Rev. Lett. 115(4), 043902 (2015).
[Crossref] [PubMed]

Prokhorov, A.

E. Dianov, A. Luchnikov, A. Pilipetskii, and A. Prokhorov, “Long-range interaction of picosecond solitons through excitation of acoustic waves in optical fibers,” Appl. Phys. B 54(2), 175–180 (1992).
[Crossref]

Richardson, D.

D. Richardson, R. Laming, D. N. Payne, V. J. Matsas, and M. W. Phillips, “Pulse repetition-rates in a passive, self-starting, femtosecond soliton fibre laser,” Electron. Lett. 27(16), 1451–1453 (1991).
[Crossref]

Ropers, C.

D. R. Solli, C. Ropers, P. Koonath, and B. Jalali, “Optical rogue waves,” Nature 450(7172), 1054–1057 (2007).
[Crossref] [PubMed]

Runge, A. F.

Salhi, M.

F. Amrani, M. Salhi, P. Grelu, H. Leblond, and F. Sanchez, “Universal soliton pattern formations in passively mode-locked fiber lasers,” Opt. Lett. 36(9), 1545–1547 (2011).
[Crossref] [PubMed]

F. Amrani, A. Haboucha, M. Salhi, H. Leblond, A. Komarov, and F. Sanchez, “Dissipative solitons compounds in a fiber laser. Analogy with the states of the matter,” Appl. Phys. B 99(1–2), 107–114 (2010).
[Crossref]

Sanchez, F.

F. Amrani, M. Salhi, P. Grelu, H. Leblond, and F. Sanchez, “Universal soliton pattern formations in passively mode-locked fiber lasers,” Opt. Lett. 36(9), 1545–1547 (2011).
[Crossref] [PubMed]

F. Amrani, A. Haboucha, M. Salhi, H. Leblond, A. Komarov, and F. Sanchez, “Dissipative solitons compounds in a fiber laser. Analogy with the states of the matter,” Appl. Phys. B 99(1–2), 107–114 (2010).
[Crossref]

Shu, X.

E. Turitsyna, S. Smirnov, S. Sugavanam, N. Tarasov, X. Shu, S. Babin, E. Podivilov, D. Churkin, G. Falkovich, and S. Turitsyn, “The laminar-turbulent transition in a fibre laser,” Nat. Photonics 7(10), 783–786 (2013).
[Crossref]

Smirnov, S.

E. Turitsyna, S. Smirnov, S. Sugavanam, N. Tarasov, X. Shu, S. Babin, E. Podivilov, D. Churkin, G. Falkovich, and S. Turitsyn, “The laminar-turbulent transition in a fibre laser,” Nat. Photonics 7(10), 783–786 (2013).
[Crossref]

Smirnov, S. V.

D. V. Churkin, S. Sugavanam, N. Tarasov, S. Khorev, S. V. Smirnov, S. M. Kobtsev, and S. K. Turitsyn, “Stochasticity, periodicity and localized light structures in partially mode-locked fibre lasers,” Nat. Commun. 6(5), 7004 (2015).
[Crossref] [PubMed]

Smith, K.

Solli, D.

N. Akhmediev, J. Dudley, D. Solli, and S. Turitsyn, “Recent progress in investigating optical rogue waves,” J. Opt. 15(6), 060201 (2013).
[Crossref]

Solli, D. R.

D. R. Solli, C. Ropers, P. Koonath, and B. Jalali, “Optical rogue waves,” Nature 450(7172), 1054–1057 (2007).
[Crossref] [PubMed]

Soto-Crespo, J. M.

C. Lecaplain, P. Grelu, J. M. Soto-Crespo, and N. Akhmediev, “Dissipative rogue waves generated by chaotic pulse bunching in a mode-locked laser,” Phys. Rev. Lett. 108(23), 233901 (2012).
[Crossref] [PubMed]

J. M. Soto-Crespo, P. Grelu, and N. Akhmediev, “Dissipative rogue waves: extreme pulses generated by passively mode-locked lasers,” Phys. Rev. E Stat. Nonlin. Soft Matter Phys. 84(1), 016604 (2011).
[Crossref] [PubMed]

Sugavanam, S.

D. V. Churkin, S. Sugavanam, N. Tarasov, S. Khorev, S. V. Smirnov, S. M. Kobtsev, and S. K. Turitsyn, “Stochasticity, periodicity and localized light structures in partially mode-locked fibre lasers,” Nat. Commun. 6(5), 7004 (2015).
[Crossref] [PubMed]

N. Tarasov, S. Sugavanam, and D. Churkin, “Spatio-temporal generation regimes in quasi-CW Raman fiber lasers,” Opt. Express 23(19), 24189–24194 (2015).
[Crossref] [PubMed]

S. Sugavanam, N. Tarasov, S. Wabnitz, and D. V. Churkin, “Ginzburg–Landau turbulence in quasi‐CW Raman fiber lasers,” Laser Photonics Rev. 9(6), L35–L39 (2015).
[Crossref]

E. Turitsyna, S. Smirnov, S. Sugavanam, N. Tarasov, X. Shu, S. Babin, E. Podivilov, D. Churkin, G. Falkovich, and S. Turitsyn, “The laminar-turbulent transition in a fibre laser,” Nat. Photonics 7(10), 783–786 (2013).
[Crossref]

Tam, H. Y.

D. Y. Tang, B. Zhao, L. M. Zhao, and H. Y. Tam, “Soliton interaction in a fiber ring laser,” Phys. Rev. E Stat. Nonlin. Soft Matter Phys. 72(1), 016616 (2005).
[Crossref] [PubMed]

Tang, D. Y.

L. M. Zhao, D. Y. Tang, H. Zhang, and X. Wu, “Bunch of restless vector solitons in a fiber laser with SESAM,” Opt. Express 17(10), 8103–8108 (2009).
[Crossref] [PubMed]

D. Y. Tang, B. Zhao, L. M. Zhao, and H. Y. Tam, “Soliton interaction in a fiber ring laser,” Phys. Rev. E Stat. Nonlin. Soft Matter Phys. 72(1), 016616 (2005).
[Crossref] [PubMed]

Tarasov, N.

S. Sugavanam, N. Tarasov, S. Wabnitz, and D. V. Churkin, “Ginzburg–Landau turbulence in quasi‐CW Raman fiber lasers,” Laser Photonics Rev. 9(6), L35–L39 (2015).
[Crossref]

N. Tarasov, S. Sugavanam, and D. Churkin, “Spatio-temporal generation regimes in quasi-CW Raman fiber lasers,” Opt. Express 23(19), 24189–24194 (2015).
[Crossref] [PubMed]

D. V. Churkin, S. Sugavanam, N. Tarasov, S. Khorev, S. V. Smirnov, S. M. Kobtsev, and S. K. Turitsyn, “Stochasticity, periodicity and localized light structures in partially mode-locked fibre lasers,” Nat. Commun. 6(5), 7004 (2015).
[Crossref] [PubMed]

E. Turitsyna, S. Smirnov, S. Sugavanam, N. Tarasov, X. Shu, S. Babin, E. Podivilov, D. Churkin, G. Falkovich, and S. Turitsyn, “The laminar-turbulent transition in a fibre laser,” Nat. Photonics 7(10), 783–786 (2013).
[Crossref]

Tissoni, G.

B. Garbin, J. Javaloyes, G. Tissoni, and S. Barland, “Topological solitons as addressable phase bits in a driven laser,” Nat. Commun. 6(1), 5915 (2015).
[Crossref] [PubMed]

F. Gustave, L. Columbo, G. Tissoni, M. Brambilla, F. Prati, B. Kelleher, B. Tykalewicz, and S. Barland, “Dissipative phase solitons in semiconductor lasers,” Phys. Rev. Lett. 115(4), 043902 (2015).
[Crossref] [PubMed]

Turitsyn, S.

N. Akhmediev, J. Dudley, D. Solli, and S. Turitsyn, “Recent progress in investigating optical rogue waves,” J. Opt. 15(6), 060201 (2013).
[Crossref]

E. Turitsyna, S. Smirnov, S. Sugavanam, N. Tarasov, X. Shu, S. Babin, E. Podivilov, D. Churkin, G. Falkovich, and S. Turitsyn, “The laminar-turbulent transition in a fibre laser,” Nat. Photonics 7(10), 783–786 (2013).
[Crossref]

Turitsyn, S. K.

D. V. Churkin, S. Sugavanam, N. Tarasov, S. Khorev, S. V. Smirnov, S. M. Kobtsev, and S. K. Turitsyn, “Stochasticity, periodicity and localized light structures in partially mode-locked fibre lasers,” Nat. Commun. 6(5), 7004 (2015).
[Crossref] [PubMed]

Turitsyna, E.

E. Turitsyna, S. Smirnov, S. Sugavanam, N. Tarasov, X. Shu, S. Babin, E. Podivilov, D. Churkin, G. Falkovich, and S. Turitsyn, “The laminar-turbulent transition in a fibre laser,” Nat. Photonics 7(10), 783–786 (2013).
[Crossref]

Tykalewicz, B.

F. Gustave, L. Columbo, G. Tissoni, M. Brambilla, F. Prati, B. Kelleher, B. Tykalewicz, and S. Barland, “Dissipative phase solitons in semiconductor lasers,” Phys. Rev. Lett. 115(4), 043902 (2015).
[Crossref] [PubMed]

Wabnitz, S.

S. Sugavanam, N. Tarasov, S. Wabnitz, and D. V. Churkin, “Ginzburg–Landau turbulence in quasi‐CW Raman fiber lasers,” Laser Photonics Rev. 9(6), L35–L39 (2015).
[Crossref]

Wise, F. W.

Wu, X.

Xu, W. C.

Yavas, S.

Zaviyalov, A.

A. Zaviyalov, O. Egorov, R. Iliew, and F. Lederer, “Rogue waves in mode-locked fiber lasers,” Phys. Rev. A 85(1), 013828 (2012).
[Crossref]

Zhang, H.

Zhang, S.

Zhao, B.

D. Y. Tang, B. Zhao, L. M. Zhao, and H. Y. Tam, “Soliton interaction in a fiber ring laser,” Phys. Rev. E Stat. Nonlin. Soft Matter Phys. 72(1), 016616 (2005).
[Crossref] [PubMed]

Zhao, C. J.

Zhao, L. M.

L. M. Zhao, D. Y. Tang, H. Zhang, and X. Wu, “Bunch of restless vector solitons in a fiber laser with SESAM,” Opt. Express 17(10), 8103–8108 (2009).
[Crossref] [PubMed]

D. Y. Tang, B. Zhao, L. M. Zhao, and H. Y. Tam, “Soliton interaction in a fiber ring laser,” Phys. Rev. E Stat. Nonlin. Soft Matter Phys. 72(1), 016616 (2005).
[Crossref] [PubMed]

Zolotovskii, I. O.

Appl. Phys. B (2)

F. Amrani, A. Haboucha, M. Salhi, H. Leblond, A. Komarov, and F. Sanchez, “Dissipative solitons compounds in a fiber laser. Analogy with the states of the matter,” Appl. Phys. B 99(1–2), 107–114 (2010).
[Crossref]

E. Dianov, A. Luchnikov, A. Pilipetskii, and A. Prokhorov, “Long-range interaction of picosecond solitons through excitation of acoustic waves in optical fibers,” Appl. Phys. B 54(2), 175–180 (1992).
[Crossref]

Electron. Lett. (2)

D. Richardson, R. Laming, D. N. Payne, V. J. Matsas, and M. W. Phillips, “Pulse repetition-rates in a passive, self-starting, femtosecond soliton fibre laser,” Electron. Lett. 27(16), 1451–1453 (1991).
[Crossref]

S. Kelly, “Characteristic sideband instability of periodically amplified average soliton,” Electron. Lett. 28(8), 806–807 (1992).
[Crossref]

Eur. Phys. J. Spec. Top. (1)

N. Akhmediev and E. Pelinovsky, “Editorial–Introductory remarks on “Discussion & Debate: Rogue waves–towards a unifying concept?”,” Eur. Phys. J. Spec. Top. 185(1), 1–4 (2010).
[Crossref]

IEEE Photonics Technol. Lett. (1)

M. I. Afzal, K. Alameh, and Y. T. Lee, “Blue-Shifted rogue waves generation in normal dispersion fiber laser,” IEEE Photonics Technol. Lett. 27(22), 2323–2326 (2015).
[Crossref]

J. Opt. (1)

N. Akhmediev, J. Dudley, D. Solli, and S. Turitsyn, “Recent progress in investigating optical rogue waves,” J. Opt. 15(6), 060201 (2013).
[Crossref]

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

Laser Photonics Rev. (1)

S. Sugavanam, N. Tarasov, S. Wabnitz, and D. V. Churkin, “Ginzburg–Landau turbulence in quasi‐CW Raman fiber lasers,” Laser Photonics Rev. 9(6), L35–L39 (2015).
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Nat. Commun. (3)

D. V. Churkin, S. Sugavanam, N. Tarasov, S. Khorev, S. V. Smirnov, S. M. Kobtsev, and S. K. Turitsyn, “Stochasticity, periodicity and localized light structures in partially mode-locked fibre lasers,” Nat. Commun. 6(5), 7004 (2015).
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J. K. Jang, M. Erkintalo, S. Coen, and S. G. Murdoch, “Temporal tweezing of light through the trapping and manipulation of temporal cavity solitons,” Nat. Commun. 6(6), 7370 (2015).
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B. Garbin, J. Javaloyes, G. Tissoni, and S. Barland, “Topological solitons as addressable phase bits in a driven laser,” Nat. Commun. 6(1), 5915 (2015).
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Nat. Photonics (3)

E. Turitsyna, S. Smirnov, S. Sugavanam, N. Tarasov, X. Shu, S. Babin, E. Podivilov, D. Churkin, G. Falkovich, and S. Turitsyn, “The laminar-turbulent transition in a fibre laser,” Nat. Photonics 7(10), 783–786 (2013).
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J. K. Jang, M. Erkintalo, S. G. Murdoch, and S. Coen, “Ultraweak long-range interactions of solitons observed over astronomical distances,” Nat. Photonics 7(8), 657–663 (2013).
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M. Marconi, J. Javaloyes, S. Barland, S. Balle, and M. Giudici, “Vectorial dissipative solitons in vertical-cavity surface-emitting lasers with delays,” Nat. Photonics 9(7), 450–455 (2015).
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Nature (1)

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New J. Phys. (1)

M. Erkintalo, K. Luo, J. K. Jang, S. Coen, and S. G. Murdoch, “Bunching of temporal cavity solitons via forward Brillouin scattering,” New J. Phys. 17(11), 115009 (2015).
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Opt. Express (2)

Opt. Lett. (11)

J. K. Jang, M. Erkintalo, S. G. Murdoch, and S. Coen, “Writing and erasing of temporal cavity solitons by direct phase modulation of the cavity driving field,” Opt. Lett. 40(20), 4755–4758 (2015).
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M. Liu, Z. R. Cai, S. Hu, A. P. Luo, C. J. Zhao, H. Zhang, W. C. Xu, and Z. C. Luo, “Dissipative rogue waves induced by long-range chaotic multi-pulse interactions in a fiber laser with a topological insulator-deposited microfiber photonic device,” Opt. Lett. 40(20), 4767–4770 (2015).
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D. A. Korobko, O. G. Okhotnikov, and I. O. Zolotovskii, “Long-range soliton interactions through gain-absorption depletion and recovery,” Opt. Lett. 40(12), 2862–2865 (2015).
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F. Amrani, M. Salhi, P. Grelu, H. Leblond, and F. Sanchez, “Universal soliton pattern formations in passively mode-locked fiber lasers,” Opt. Lett. 36(9), 1545–1547 (2011).
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Optica (1)

Phys. Rev. A (3)

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Phys. Rev. E Stat. Nonlin. Soft Matter Phys. (2)

J. M. Soto-Crespo, P. Grelu, and N. Akhmediev, “Dissipative rogue waves: extreme pulses generated by passively mode-locked lasers,” Phys. Rev. E Stat. Nonlin. Soft Matter Phys. 84(1), 016604 (2011).
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A. Chabchoub, N. P. Hoffmann, and N. Akhmediev, “Rogue wave observation in a water wave tank,” Phys. Rev. Lett. 106(20), 204502 (2011).
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Figures (8)

Fig. 1
Fig. 1

(a) Schematic of the fiber laser, WDM: wavelength-division multiplexer; EDF: erbium-doped fiber; SMF: single-mode fiber; PC: polarization controller; PDI: polarization-dependent isolator; OSA: optical spectrum analyzer; PD: photodetector. (b) The optical spectra of three types of mode-locking states obtained by pump power increase only: with pump power of 22 (blue), 303 (red), and 730 mW (black).

Fig. 2
Fig. 2

Stable soliton bunch state at a pump power of 22 mW: (a) temporal trace of the stationary soliton bunch circulating at the fundamental cavity repetition period of 96.6 ns, and (b) temporal magnification of the soliton bunch.

Fig. 3
Fig. 3

Spatio-temporal intensity dynamics of the stable soliton bunch over 8000 roundtrips at a pump power of 22 mW.

Fig. 4
Fig. 4

Histogram (log scale) of the normalized soliton intensity at a pump power of (a) 22, (b) 303, and (c) 730 mW.

Fig. 5
Fig. 5

The solitons occupied the whole laser cavity when the pump power was increased to 303 mW: (a) temporal trace of the solitons, (b) temporal magnification of the solitons with time span of 3 ns.

Fig. 6
Fig. 6

Spatio-temporal intensity dynamics of the multiple-soliton state exhibiting weak interactions between solitons at a pump power of 303 mW.

Fig. 7
Fig. 7

RWs are generated at a pump power of 730 mW: (a), temporal trace of the multiple solitons; (b), temporal magnification of the solitons with time span of 3 ns, around RW location; (c), the autocorrelation trace.

Fig. 8
Fig. 8

Spatio-temporal intensity dynamics of the multiple-soliton state showing strong interactions between solitons at a pump power of 730 mW. The dashed square shows an example of RWs.

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