Abstract

We present experimental measurements of intensity spatio-temporal dynamics in quasi-CW Raman fiber laser. Depending on the power, the laser operates in different spatio-temporal regimes varying from partial mode-locking near the generation threshold to almost stochastic radiation and a generation of short-lived pulses at high power. The transitions between the generation regimes are evident in intensity spatio-temporal dynamics. Two-dimensional auto-correlation functions provide an additional insight into temporal and spatial properties of the observed regimes.

© 2015 Optical Society of America

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References

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  1. D. V. Churkin and S. V Smirnov, “Numerical modelling of spectral, temporal and statistical properties of Raman fiber lasers,” Opt. Commun. 285(8), 2154–2160 (2012).
    [Crossref]
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    [Crossref]
  3. A. Picozzi, J. Garnier, T. Hansson, P. Suret, S. Randoux, G. Millot, and D. N. Christodoulides, “Optical wave turbulence: Towards a unified nonequilibrium thermodynamic formulation of statistical nonlinear optics,” Phys. Rep. 542(1), 1–132 (2014).
    [Crossref]
  4. B. Barviau, B. Kibler, and A. Picozzi, “Wave-turbulence approach of supercontinuum generation: Influence of self-steepening and higher-order dispersion,” Phys. Rev. A 79(6), 63840 (2009).
    [Crossref]
  5. D. V. Churkin, I. V. Kolokolov, E. V. Podivilov, I. D. Vatnik, M. A. Nikulin, S. S. Vergeles, I. S. Terekhov, V. V. Lebedev, G. Falkovich, S. A. Babin, and S. K. Turitsyn, “Wave kinetics of random fibre lasers,” Nat. Commun. 2, 6214 (2015).
    [Crossref] [PubMed]
  6. S. Randoux, P. Walczak, M. Onorato, and P. Suret, “Intermittency in integrable turbulence,” Phys. Rev. Lett. 113(11), 113902 (2014).
    [Crossref] [PubMed]
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    [Crossref] [PubMed]
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    [Crossref]
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    [Crossref] [PubMed]
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    [Crossref] [PubMed]
  11. S. Randoux and P. Suret, “Experimental evidence of extreme value statistics in Raman fiber lasers,” Opt. Lett. 37(4), 500 (2012).
    [Crossref] [PubMed]
  12. K. Hammani, A. Picozzi, and C. Finot, “Extreme statistics in Raman fiber amplifiers: From analytical description to experiments,” Opt. Commun.,  284(10–11), 2594–2603 (2011).
    [Crossref]
  13. S. Randoux and P. Suret, “Toward passive mode locking by nonlinear polarization evolution in a cascaded Raman fiber ring laser,” Opt. Commun. 267(1), 145–148 (2006).
    [Crossref]
  14. A. Boucon, B. Barviau, J. Fatome, C. Finot, T. Sylvestre, M. W. Lee, P. Grelu, and G. Millot, “Noise-like pulses generated at high harmonics in a partially-mode-locked km-long Raman fiber laser,” Appl. Phys. B 106(2), 283–287 (2012).
    [Crossref]
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    [Crossref] [PubMed]
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    [Crossref] [PubMed]
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    [Crossref]
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    [Crossref] [PubMed]
  20. A. F. J. Runge, N. G. R. Boderick, and M. Erkintalo, “Observation of soliton explosions in a passively mode-locked fiber laser,” Optica 2(1), 36–39 (2015).
    [Crossref]
  21. S. Chouli and P. Grelu, “Rains of solitons in a fiber laser,” Opt. Express 17(14), 11776–11781 (2009).
    [Crossref] [PubMed]
  22. S. Chouli and P. Grelu, “Soliton rains in a fiber laser: An experimental study,” Phys. Rev. A 81(6), 63829 (2010).
    [Crossref]
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    [Crossref]
  24. O. A. Gorbunov, S. Sugavanam, and D. V. Churkin, “Revealing statistical properties of quasi-CW fibre lasers in bandwidth-limited measurements,” Opt. Express 22, 28071–28076 (2014).
    [Crossref] [PubMed]
  25. A. Chamorovskiy, A. Rantamäki, A. Sirbu, A. Mereuta, E. Kapon, and O. G. Okhotnikov, “1.38-μm mode-locked Raman fiber laser pumped by semiconductor disk laser,” Opt. Express 18(23), 23872–23877 (2010).
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    [Crossref] [PubMed]
  27. C. Menyuk, D. Levi, and P. Winternitz, “Self-similarity in transient stimulated Raman scattering,” Phys. Rev. Lett. 69(21), 3048–3051 (1992).
    [Crossref] [PubMed]
  28. D. Anderson, M. Desaix, M. Karlsson, M. Lisak, and M. L. Quiroga-Teixeiro, “Wave-breaking-free pulses in nonlinear-optical fibers,” J. Opt. Soc. Am. B 10(7), 1185 (1993).
    [Crossref]
  29. V. I. Kruglov, a C. Peacock, J. M. Dudley, and J. D. Harvey, “Self-similar propagation of high-power parabolic pulses in optical fiber amplifiers,” Opt. Lett. 25(24), 1753–1755 (2000).
    [Crossref]

2015 (7)

D. V. Churkin, I. V. Kolokolov, E. V. Podivilov, I. D. Vatnik, M. A. Nikulin, S. S. Vergeles, I. S. Terekhov, V. V. Lebedev, G. Falkovich, S. A. Babin, and S. K. Turitsyn, “Wave kinetics of random fibre lasers,” Nat. Commun. 2, 6214 (2015).
[Crossref] [PubMed]

P. Walczak, S. Randoux, and P. Suret, “Optical rogue waves in integrable turbulence,” Phys. Rev. Lett. 114(14), 143903 (2015).
[Crossref] [PubMed]

M. Conforti, A. Mussot, J. Fatome, A. Picozzi, S. Pitois, C. Finot, M. Haelterman, B. Kibler, C. Michel, and G. Millot, “Turbulent dynamics of an incoherently pumped passive optical fiber cavity: Quasisolitons, dispersive waves, and extreme events,” Phys. Rev. A 91(2), 23823 (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, 7004 (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, 5915 (2015).
[Crossref] [PubMed]

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

Z. Luo, M. Zhong, F. Xiong, D. Wu, Y. Huang, Y. Li, L. Le, B. Xu, H. Xu, and Z. Cai, “Intermode beating mode-locking technique for O-band mixed-cascaded Raman fiber lasers,” Opt. Lett. 40(4), 502–505 (2015).
[Crossref] [PubMed]

2014 (4)

S. Wabnitz, “Optical turbulence in fiber lasers,” Opt. Lett. 39(6), 1362–1365 (2014).
[Crossref] [PubMed]

O. A. Gorbunov, S. Sugavanam, and D. V. Churkin, “Revealing statistical properties of quasi-CW fibre lasers in bandwidth-limited measurements,” Opt. Express 22, 28071–28076 (2014).
[Crossref] [PubMed]

S. Randoux, P. Walczak, M. Onorato, and P. Suret, “Intermittency in integrable turbulence,” Phys. Rev. Lett. 113(11), 113902 (2014).
[Crossref] [PubMed]

A. Picozzi, J. Garnier, T. Hansson, P. Suret, S. Randoux, G. Millot, and D. N. Christodoulides, “Optical wave turbulence: Towards a unified nonequilibrium thermodynamic formulation of statistical nonlinear optics,” Phys. Rep. 542(1), 1–132 (2014).
[Crossref]

2013 (2)

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

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

2012 (4)

A. Boucon, B. Barviau, J. Fatome, C. Finot, T. Sylvestre, M. W. Lee, P. Grelu, and G. Millot, “Noise-like pulses generated at high harmonics in a partially-mode-locked km-long Raman fiber laser,” Appl. Phys. B 106(2), 283–287 (2012).
[Crossref]

D. V. Churkin and S. V Smirnov, “Numerical modelling of spectral, temporal and statistical properties of Raman fiber lasers,” Opt. Commun. 285(8), 2154–2160 (2012).
[Crossref]

S. Randoux and P. Suret, “Experimental evidence of extreme value statistics in Raman fiber lasers,” Opt. Lett. 37(4), 500 (2012).
[Crossref] [PubMed]

Z. Q. Luo, C. C. Ye, H. Y. Fu, H. H. Cheng, J. Z. Wang, and Z. P. Cai, “Raman fiber laser harmonically mode-locked by exploiting the intermodal beating of CW multimode pump source,” Opt. Express 20(18), 19905–19911 (2012).
[Crossref] [PubMed]

2011 (2)

D. V. Churkin, O. A. Gorbunov, and S. V Smirnov, “Extreme value statistics in Raman fiber lasers,” Opt. Lett. 36(18), 3617–3619 (2011).
[Crossref] [PubMed]

K. Hammani, A. Picozzi, and C. Finot, “Extreme statistics in Raman fiber amplifiers: From analytical description to experiments,” Opt. Commun.,  284(10–11), 2594–2603 (2011).
[Crossref]

2010 (2)

2009 (2)

S. Chouli and P. Grelu, “Rains of solitons in a fiber laser,” Opt. Express 17(14), 11776–11781 (2009).
[Crossref] [PubMed]

B. Barviau, B. Kibler, and A. Picozzi, “Wave-turbulence approach of supercontinuum generation: Influence of self-steepening and higher-order dispersion,” Phys. Rev. A 79(6), 63840 (2009).
[Crossref]

2007 (1)

2006 (1)

S. Randoux and P. Suret, “Toward passive mode locking by nonlinear polarization evolution in a cascaded Raman fiber ring laser,” Opt. Commun. 267(1), 145–148 (2006).
[Crossref]

2000 (2)

M. E. Fermann, V. I. Kruglov, B. C. Thomsen, J. M. Dudley, and J. D. Harvey, “Self-similar propagation and amplification of parabolic pulses in optical fibers,” Phys. Rev. Lett.,  84(26), 6010–6013 (2000).
[Crossref] [PubMed]

V. I. Kruglov, a C. Peacock, J. M. Dudley, and J. D. Harvey, “Self-similar propagation of high-power parabolic pulses in optical fiber amplifiers,” Opt. Lett. 25(24), 1753–1755 (2000).
[Crossref]

1993 (1)

1992 (1)

C. Menyuk, D. Levi, and P. Winternitz, “Self-similarity in transient stimulated Raman scattering,” Phys. Rev. Lett. 69(21), 3048–3051 (1992).
[Crossref] [PubMed]

Anderson, D.

Babin, S. A.

D. V. Churkin, I. V. Kolokolov, E. V. Podivilov, I. D. Vatnik, M. A. Nikulin, S. S. Vergeles, I. S. Terekhov, V. V. Lebedev, G. Falkovich, S. A. Babin, and S. K. Turitsyn, “Wave kinetics of random fibre lasers,” Nat. Commun. 2, 6214 (2015).
[Crossref] [PubMed]

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

S. A. Babin, D. V. Churkin, A. E. Ismagulov, S. I. Kablukov, and E. V. Podivilov, “Four-wave-mixing-induced turbulent spectral broadening in a long Raman fiber laser,” J. Opt. Soc. Am. B 24(8), 1729 (2007).
[Crossref]

Barland, S.

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

Barviau, B.

A. Boucon, B. Barviau, J. Fatome, C. Finot, T. Sylvestre, M. W. Lee, P. Grelu, and G. Millot, “Noise-like pulses generated at high harmonics in a partially-mode-locked km-long Raman fiber laser,” Appl. Phys. B 106(2), 283–287 (2012).
[Crossref]

B. Barviau, B. Kibler, and A. Picozzi, “Wave-turbulence approach of supercontinuum generation: Influence of self-steepening and higher-order dispersion,” Phys. Rev. A 79(6), 63840 (2009).
[Crossref]

Boderick, N. G. R.

Boucon, A.

A. Boucon, B. Barviau, J. Fatome, C. Finot, T. Sylvestre, M. W. Lee, P. Grelu, and G. Millot, “Noise-like pulses generated at high harmonics in a partially-mode-locked km-long Raman fiber laser,” Appl. Phys. B 106(2), 283–287 (2012).
[Crossref]

Cai, Z.

Cai, Z. P.

Chamorovskiy, A.

Cheng, H. H.

Chouli, S.

S. Chouli and P. Grelu, “Soliton rains in a fiber laser: An experimental study,” Phys. Rev. A 81(6), 63829 (2010).
[Crossref]

S. Chouli and P. Grelu, “Rains of solitons in a fiber laser,” Opt. Express 17(14), 11776–11781 (2009).
[Crossref] [PubMed]

Christodoulides, D. N.

A. Picozzi, J. Garnier, T. Hansson, P. Suret, S. Randoux, G. Millot, and D. N. Christodoulides, “Optical wave turbulence: Towards a unified nonequilibrium thermodynamic formulation of statistical nonlinear optics,” Phys. Rep. 542(1), 1–132 (2014).
[Crossref]

Churkin, D. V.

D. V. Churkin, I. V. Kolokolov, E. V. Podivilov, I. D. Vatnik, M. A. Nikulin, S. S. Vergeles, I. S. Terekhov, V. V. Lebedev, G. Falkovich, S. A. Babin, and S. K. Turitsyn, “Wave kinetics of random fibre lasers,” Nat. Commun. 2, 6214 (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, 7004 (2015).
[Crossref] [PubMed]

O. A. Gorbunov, S. Sugavanam, and D. V. Churkin, “Revealing statistical properties of quasi-CW fibre lasers in bandwidth-limited measurements,” Opt. Express 22, 28071–28076 (2014).
[Crossref] [PubMed]

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

D. V. Churkin and S. V Smirnov, “Numerical modelling of spectral, temporal and statistical properties of Raman fiber lasers,” Opt. Commun. 285(8), 2154–2160 (2012).
[Crossref]

D. V. Churkin, O. A. Gorbunov, and S. V Smirnov, “Extreme value statistics in Raman fiber lasers,” Opt. Lett. 36(18), 3617–3619 (2011).
[Crossref] [PubMed]

S. A. Babin, D. V. Churkin, A. E. Ismagulov, S. I. Kablukov, and E. V. Podivilov, “Four-wave-mixing-induced turbulent spectral broadening in a long Raman fiber laser,” J. Opt. Soc. Am. B 24(8), 1729 (2007).
[Crossref]

Coen, S.

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

Conforti, M.

M. Conforti, A. Mussot, J. Fatome, A. Picozzi, S. Pitois, C. Finot, M. Haelterman, B. Kibler, C. Michel, and G. Millot, “Turbulent dynamics of an incoherently pumped passive optical fiber cavity: Quasisolitons, dispersive waves, and extreme events,” Phys. Rev. A 91(2), 23823 (2015).
[Crossref]

Desaix, M.

Dudley, J. M.

M. E. Fermann, V. I. Kruglov, B. C. Thomsen, J. M. Dudley, and J. D. Harvey, “Self-similar propagation and amplification of parabolic pulses in optical fibers,” Phys. Rev. Lett.,  84(26), 6010–6013 (2000).
[Crossref] [PubMed]

V. I. Kruglov, a C. Peacock, J. M. Dudley, and J. D. Harvey, “Self-similar propagation of high-power parabolic pulses in optical fiber amplifiers,” Opt. Lett. 25(24), 1753–1755 (2000).
[Crossref]

Erkintalo, M.

A. F. J. Runge, N. G. R. Boderick, 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, “Ultraweak long-range interactions of solitons observed over astronomical distances,” Nat. Photon. 7(8), 657–663 (2013).
[Crossref]

Falkovich, G.

D. V. Churkin, I. V. Kolokolov, E. V. Podivilov, I. D. Vatnik, M. A. Nikulin, S. S. Vergeles, I. S. Terekhov, V. V. Lebedev, G. Falkovich, S. A. Babin, and S. K. Turitsyn, “Wave kinetics of random fibre lasers,” Nat. Commun. 2, 6214 (2015).
[Crossref] [PubMed]

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

Fatome, J.

M. Conforti, A. Mussot, J. Fatome, A. Picozzi, S. Pitois, C. Finot, M. Haelterman, B. Kibler, C. Michel, and G. Millot, “Turbulent dynamics of an incoherently pumped passive optical fiber cavity: Quasisolitons, dispersive waves, and extreme events,” Phys. Rev. A 91(2), 23823 (2015).
[Crossref]

A. Boucon, B. Barviau, J. Fatome, C. Finot, T. Sylvestre, M. W. Lee, P. Grelu, and G. Millot, “Noise-like pulses generated at high harmonics in a partially-mode-locked km-long Raman fiber laser,” Appl. Phys. B 106(2), 283–287 (2012).
[Crossref]

Fermann, M. E.

M. E. Fermann, V. I. Kruglov, B. C. Thomsen, J. M. Dudley, and J. D. Harvey, “Self-similar propagation and amplification of parabolic pulses in optical fibers,” Phys. Rev. Lett.,  84(26), 6010–6013 (2000).
[Crossref] [PubMed]

Finot, C.

M. Conforti, A. Mussot, J. Fatome, A. Picozzi, S. Pitois, C. Finot, M. Haelterman, B. Kibler, C. Michel, and G. Millot, “Turbulent dynamics of an incoherently pumped passive optical fiber cavity: Quasisolitons, dispersive waves, and extreme events,” Phys. Rev. A 91(2), 23823 (2015).
[Crossref]

A. Boucon, B. Barviau, J. Fatome, C. Finot, T. Sylvestre, M. W. Lee, P. Grelu, and G. Millot, “Noise-like pulses generated at high harmonics in a partially-mode-locked km-long Raman fiber laser,” Appl. Phys. B 106(2), 283–287 (2012).
[Crossref]

K. Hammani, A. Picozzi, and C. Finot, “Extreme statistics in Raman fiber amplifiers: From analytical description to experiments,” Opt. Commun.,  284(10–11), 2594–2603 (2011).
[Crossref]

Fu, H. Y.

Garbin, B.

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

Garnier, J.

A. Picozzi, J. Garnier, T. Hansson, P. Suret, S. Randoux, G. Millot, and D. N. Christodoulides, “Optical wave turbulence: Towards a unified nonequilibrium thermodynamic formulation of statistical nonlinear optics,” Phys. Rep. 542(1), 1–132 (2014).
[Crossref]

Gorbunov, O. A.

Grelu, P.

A. Boucon, B. Barviau, J. Fatome, C. Finot, T. Sylvestre, M. W. Lee, P. Grelu, and G. Millot, “Noise-like pulses generated at high harmonics in a partially-mode-locked km-long Raman fiber laser,” Appl. Phys. B 106(2), 283–287 (2012).
[Crossref]

S. Chouli and P. Grelu, “Soliton rains in a fiber laser: An experimental study,” Phys. Rev. A 81(6), 63829 (2010).
[Crossref]

S. Chouli and P. Grelu, “Rains of solitons in a fiber laser,” Opt. Express 17(14), 11776–11781 (2009).
[Crossref] [PubMed]

Haelterman, M.

M. Conforti, A. Mussot, J. Fatome, A. Picozzi, S. Pitois, C. Finot, M. Haelterman, B. Kibler, C. Michel, and G. Millot, “Turbulent dynamics of an incoherently pumped passive optical fiber cavity: Quasisolitons, dispersive waves, and extreme events,” Phys. Rev. A 91(2), 23823 (2015).
[Crossref]

Hammani, K.

K. Hammani, A. Picozzi, and C. Finot, “Extreme statistics in Raman fiber amplifiers: From analytical description to experiments,” Opt. Commun.,  284(10–11), 2594–2603 (2011).
[Crossref]

Hansson, T.

A. Picozzi, J. Garnier, T. Hansson, P. Suret, S. Randoux, G. Millot, and D. N. Christodoulides, “Optical wave turbulence: Towards a unified nonequilibrium thermodynamic formulation of statistical nonlinear optics,” Phys. Rep. 542(1), 1–132 (2014).
[Crossref]

Harvey, J. D.

V. I. Kruglov, a C. Peacock, J. M. Dudley, and J. D. Harvey, “Self-similar propagation of high-power parabolic pulses in optical fiber amplifiers,” Opt. Lett. 25(24), 1753–1755 (2000).
[Crossref]

M. E. Fermann, V. I. Kruglov, B. C. Thomsen, J. M. Dudley, and J. D. Harvey, “Self-similar propagation and amplification of parabolic pulses in optical fibers,” Phys. Rev. Lett.,  84(26), 6010–6013 (2000).
[Crossref] [PubMed]

Huang, Y.

Ismagulov, A. E.

Jang, J. K.

J. K. Jang, M. Erkintalo, S. G. Murdoch, and S. Coen, “Ultraweak long-range interactions of solitons observed over astronomical distances,” Nat. Photon. 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, 5915 (2015).
[Crossref] [PubMed]

Kablukov, S. I.

Kapon, E.

Karlsson, M.

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, 7004 (2015).
[Crossref] [PubMed]

Kibler, B.

M. Conforti, A. Mussot, J. Fatome, A. Picozzi, S. Pitois, C. Finot, M. Haelterman, B. Kibler, C. Michel, and G. Millot, “Turbulent dynamics of an incoherently pumped passive optical fiber cavity: Quasisolitons, dispersive waves, and extreme events,” Phys. Rev. A 91(2), 23823 (2015).
[Crossref]

B. Barviau, B. Kibler, and A. Picozzi, “Wave-turbulence approach of supercontinuum generation: Influence of self-steepening and higher-order dispersion,” Phys. Rev. A 79(6), 63840 (2009).
[Crossref]

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, 7004 (2015).
[Crossref] [PubMed]

Kolokolov, I. V.

D. V. Churkin, I. V. Kolokolov, E. V. Podivilov, I. D. Vatnik, M. A. Nikulin, S. S. Vergeles, I. S. Terekhov, V. V. Lebedev, G. Falkovich, S. A. Babin, and S. K. Turitsyn, “Wave kinetics of random fibre lasers,” Nat. Commun. 2, 6214 (2015).
[Crossref] [PubMed]

Kruglov, V. I.

V. I. Kruglov, a C. Peacock, J. M. Dudley, and J. D. Harvey, “Self-similar propagation of high-power parabolic pulses in optical fiber amplifiers,” Opt. Lett. 25(24), 1753–1755 (2000).
[Crossref]

M. E. Fermann, V. I. Kruglov, B. C. Thomsen, J. M. Dudley, and J. D. Harvey, “Self-similar propagation and amplification of parabolic pulses in optical fibers,” Phys. Rev. Lett.,  84(26), 6010–6013 (2000).
[Crossref] [PubMed]

Le, L.

Lebedev, V. V.

D. V. Churkin, I. V. Kolokolov, E. V. Podivilov, I. D. Vatnik, M. A. Nikulin, S. S. Vergeles, I. S. Terekhov, V. V. Lebedev, G. Falkovich, S. A. Babin, and S. K. Turitsyn, “Wave kinetics of random fibre lasers,” Nat. Commun. 2, 6214 (2015).
[Crossref] [PubMed]

Lee, M. W.

A. Boucon, B. Barviau, J. Fatome, C. Finot, T. Sylvestre, M. W. Lee, P. Grelu, and G. Millot, “Noise-like pulses generated at high harmonics in a partially-mode-locked km-long Raman fiber laser,” Appl. Phys. B 106(2), 283–287 (2012).
[Crossref]

Levi, D.

C. Menyuk, D. Levi, and P. Winternitz, “Self-similarity in transient stimulated Raman scattering,” Phys. Rev. Lett. 69(21), 3048–3051 (1992).
[Crossref] [PubMed]

Li, Y.

Lisak, M.

Luo, Z.

Luo, Z. Q.

Menyuk, C.

C. Menyuk, D. Levi, and P. Winternitz, “Self-similarity in transient stimulated Raman scattering,” Phys. Rev. Lett. 69(21), 3048–3051 (1992).
[Crossref] [PubMed]

Mereuta, A.

Michel, C.

M. Conforti, A. Mussot, J. Fatome, A. Picozzi, S. Pitois, C. Finot, M. Haelterman, B. Kibler, C. Michel, and G. Millot, “Turbulent dynamics of an incoherently pumped passive optical fiber cavity: Quasisolitons, dispersive waves, and extreme events,” Phys. Rev. A 91(2), 23823 (2015).
[Crossref]

Millot, G.

M. Conforti, A. Mussot, J. Fatome, A. Picozzi, S. Pitois, C. Finot, M. Haelterman, B. Kibler, C. Michel, and G. Millot, “Turbulent dynamics of an incoherently pumped passive optical fiber cavity: Quasisolitons, dispersive waves, and extreme events,” Phys. Rev. A 91(2), 23823 (2015).
[Crossref]

A. Picozzi, J. Garnier, T. Hansson, P. Suret, S. Randoux, G. Millot, and D. N. Christodoulides, “Optical wave turbulence: Towards a unified nonequilibrium thermodynamic formulation of statistical nonlinear optics,” Phys. Rep. 542(1), 1–132 (2014).
[Crossref]

A. Boucon, B. Barviau, J. Fatome, C. Finot, T. Sylvestre, M. W. Lee, P. Grelu, and G. Millot, “Noise-like pulses generated at high harmonics in a partially-mode-locked km-long Raman fiber laser,” Appl. Phys. B 106(2), 283–287 (2012).
[Crossref]

Murdoch, S. G.

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

Mussot, A.

M. Conforti, A. Mussot, J. Fatome, A. Picozzi, S. Pitois, C. Finot, M. Haelterman, B. Kibler, C. Michel, and G. Millot, “Turbulent dynamics of an incoherently pumped passive optical fiber cavity: Quasisolitons, dispersive waves, and extreme events,” Phys. Rev. A 91(2), 23823 (2015).
[Crossref]

Nikulin, M. A.

D. V. Churkin, I. V. Kolokolov, E. V. Podivilov, I. D. Vatnik, M. A. Nikulin, S. S. Vergeles, I. S. Terekhov, V. V. Lebedev, G. Falkovich, S. A. Babin, and S. K. Turitsyn, “Wave kinetics of random fibre lasers,” Nat. Commun. 2, 6214 (2015).
[Crossref] [PubMed]

Okhotnikov, O. G.

Onorato, M.

S. Randoux, P. Walczak, M. Onorato, and P. Suret, “Intermittency in integrable turbulence,” Phys. Rev. Lett. 113(11), 113902 (2014).
[Crossref] [PubMed]

Peacock, a C.

Picozzi, A.

M. Conforti, A. Mussot, J. Fatome, A. Picozzi, S. Pitois, C. Finot, M. Haelterman, B. Kibler, C. Michel, and G. Millot, “Turbulent dynamics of an incoherently pumped passive optical fiber cavity: Quasisolitons, dispersive waves, and extreme events,” Phys. Rev. A 91(2), 23823 (2015).
[Crossref]

A. Picozzi, J. Garnier, T. Hansson, P. Suret, S. Randoux, G. Millot, and D. N. Christodoulides, “Optical wave turbulence: Towards a unified nonequilibrium thermodynamic formulation of statistical nonlinear optics,” Phys. Rep. 542(1), 1–132 (2014).
[Crossref]

K. Hammani, A. Picozzi, and C. Finot, “Extreme statistics in Raman fiber amplifiers: From analytical description to experiments,” Opt. Commun.,  284(10–11), 2594–2603 (2011).
[Crossref]

B. Barviau, B. Kibler, and A. Picozzi, “Wave-turbulence approach of supercontinuum generation: Influence of self-steepening and higher-order dispersion,” Phys. Rev. A 79(6), 63840 (2009).
[Crossref]

Pitois, S.

M. Conforti, A. Mussot, J. Fatome, A. Picozzi, S. Pitois, C. Finot, M. Haelterman, B. Kibler, C. Michel, and G. Millot, “Turbulent dynamics of an incoherently pumped passive optical fiber cavity: Quasisolitons, dispersive waves, and extreme events,” Phys. Rev. A 91(2), 23823 (2015).
[Crossref]

Podivilov, E. V.

D. V. Churkin, I. V. Kolokolov, E. V. Podivilov, I. D. Vatnik, M. A. Nikulin, S. S. Vergeles, I. S. Terekhov, V. V. Lebedev, G. Falkovich, S. A. Babin, and S. K. Turitsyn, “Wave kinetics of random fibre lasers,” Nat. Commun. 2, 6214 (2015).
[Crossref] [PubMed]

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

S. A. Babin, D. V. Churkin, A. E. Ismagulov, S. I. Kablukov, and E. V. Podivilov, “Four-wave-mixing-induced turbulent spectral broadening in a long Raman fiber laser,” J. Opt. Soc. Am. B 24(8), 1729 (2007).
[Crossref]

Quiroga-Teixeiro, M. L.

Randoux, S.

P. Walczak, S. Randoux, and P. Suret, “Optical rogue waves in integrable turbulence,” Phys. Rev. Lett. 114(14), 143903 (2015).
[Crossref] [PubMed]

S. Randoux, P. Walczak, M. Onorato, and P. Suret, “Intermittency in integrable turbulence,” Phys. Rev. Lett. 113(11), 113902 (2014).
[Crossref] [PubMed]

A. Picozzi, J. Garnier, T. Hansson, P. Suret, S. Randoux, G. Millot, and D. N. Christodoulides, “Optical wave turbulence: Towards a unified nonequilibrium thermodynamic formulation of statistical nonlinear optics,” Phys. Rep. 542(1), 1–132 (2014).
[Crossref]

S. Randoux and P. Suret, “Experimental evidence of extreme value statistics in Raman fiber lasers,” Opt. Lett. 37(4), 500 (2012).
[Crossref] [PubMed]

S. Randoux and P. Suret, “Toward passive mode locking by nonlinear polarization evolution in a cascaded Raman fiber ring laser,” Opt. Commun. 267(1), 145–148 (2006).
[Crossref]

Rantamäki, A.

Runge, A. F. J.

Shu, X.

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

Sirbu, A.

Smirnov, S. V

D. V. Churkin and S. V Smirnov, “Numerical modelling of spectral, temporal and statistical properties of Raman fiber lasers,” Opt. Commun. 285(8), 2154–2160 (2012).
[Crossref]

D. V. Churkin, O. A. Gorbunov, and S. V Smirnov, “Extreme value statistics in Raman fiber lasers,” Opt. Lett. 36(18), 3617–3619 (2011).
[Crossref] [PubMed]

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, 7004 (2015).
[Crossref] [PubMed]

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

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, 7004 (2015).
[Crossref] [PubMed]

O. A. Gorbunov, S. Sugavanam, and D. V. Churkin, “Revealing statistical properties of quasi-CW fibre lasers in bandwidth-limited measurements,” Opt. Express 22, 28071–28076 (2014).
[Crossref] [PubMed]

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

Suret, P.

P. Walczak, S. Randoux, and P. Suret, “Optical rogue waves in integrable turbulence,” Phys. Rev. Lett. 114(14), 143903 (2015).
[Crossref] [PubMed]

S. Randoux, P. Walczak, M. Onorato, and P. Suret, “Intermittency in integrable turbulence,” Phys. Rev. Lett. 113(11), 113902 (2014).
[Crossref] [PubMed]

A. Picozzi, J. Garnier, T. Hansson, P. Suret, S. Randoux, G. Millot, and D. N. Christodoulides, “Optical wave turbulence: Towards a unified nonequilibrium thermodynamic formulation of statistical nonlinear optics,” Phys. Rep. 542(1), 1–132 (2014).
[Crossref]

S. Randoux and P. Suret, “Experimental evidence of extreme value statistics in Raman fiber lasers,” Opt. Lett. 37(4), 500 (2012).
[Crossref] [PubMed]

S. Randoux and P. Suret, “Toward passive mode locking by nonlinear polarization evolution in a cascaded Raman fiber ring laser,” Opt. Commun. 267(1), 145–148 (2006).
[Crossref]

Sylvestre, T.

A. Boucon, B. Barviau, J. Fatome, C. Finot, T. Sylvestre, M. W. Lee, P. Grelu, and G. Millot, “Noise-like pulses generated at high harmonics in a partially-mode-locked km-long Raman fiber laser,” Appl. Phys. B 106(2), 283–287 (2012).
[Crossref]

Tarasov, N.

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, 7004 (2015).
[Crossref] [PubMed]

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

Terekhov, I. S.

D. V. Churkin, I. V. Kolokolov, E. V. Podivilov, I. D. Vatnik, M. A. Nikulin, S. S. Vergeles, I. S. Terekhov, V. V. Lebedev, G. Falkovich, S. A. Babin, and S. K. Turitsyn, “Wave kinetics of random fibre lasers,” Nat. Commun. 2, 6214 (2015).
[Crossref] [PubMed]

Thomsen, B. C.

M. E. Fermann, V. I. Kruglov, B. C. Thomsen, J. M. Dudley, and J. D. Harvey, “Self-similar propagation and amplification of parabolic pulses in optical fibers,” Phys. Rev. Lett.,  84(26), 6010–6013 (2000).
[Crossref] [PubMed]

Tissoni, G.

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

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, 7004 (2015).
[Crossref] [PubMed]

D. V. Churkin, I. V. Kolokolov, E. V. Podivilov, I. D. Vatnik, M. A. Nikulin, S. S. Vergeles, I. S. Terekhov, V. V. Lebedev, G. Falkovich, S. A. Babin, and S. K. Turitsyn, “Wave kinetics of random fibre lasers,” Nat. Commun. 2, 6214 (2015).
[Crossref] [PubMed]

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

Turitsyna, E. G.

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

Vatnik, I. D.

D. V. Churkin, I. V. Kolokolov, E. V. Podivilov, I. D. Vatnik, M. A. Nikulin, S. S. Vergeles, I. S. Terekhov, V. V. Lebedev, G. Falkovich, S. A. Babin, and S. K. Turitsyn, “Wave kinetics of random fibre lasers,” Nat. Commun. 2, 6214 (2015).
[Crossref] [PubMed]

Vergeles, S. S.

D. V. Churkin, I. V. Kolokolov, E. V. Podivilov, I. D. Vatnik, M. A. Nikulin, S. S. Vergeles, I. S. Terekhov, V. V. Lebedev, G. Falkovich, S. A. Babin, and S. K. Turitsyn, “Wave kinetics of random fibre lasers,” Nat. Commun. 2, 6214 (2015).
[Crossref] [PubMed]

Wabnitz, S.

Walczak, P.

P. Walczak, S. Randoux, and P. Suret, “Optical rogue waves in integrable turbulence,” Phys. Rev. Lett. 114(14), 143903 (2015).
[Crossref] [PubMed]

S. Randoux, P. Walczak, M. Onorato, and P. Suret, “Intermittency in integrable turbulence,” Phys. Rev. Lett. 113(11), 113902 (2014).
[Crossref] [PubMed]

Wang, J. Z.

Winternitz, P.

C. Menyuk, D. Levi, and P. Winternitz, “Self-similarity in transient stimulated Raman scattering,” Phys. Rev. Lett. 69(21), 3048–3051 (1992).
[Crossref] [PubMed]

Wu, D.

Xiong, F.

Xu, B.

Xu, H.

Ye, C. C.

Zhong, M.

Appl. Phys. B (1)

A. Boucon, B. Barviau, J. Fatome, C. Finot, T. Sylvestre, M. W. Lee, P. Grelu, and G. Millot, “Noise-like pulses generated at high harmonics in a partially-mode-locked km-long Raman fiber laser,” Appl. Phys. B 106(2), 283–287 (2012).
[Crossref]

J. Opt. Soc. Am. B (2)

Nat. Commun. (3)

D. V. Churkin, I. V. Kolokolov, E. V. Podivilov, I. D. Vatnik, M. A. Nikulin, S. S. Vergeles, I. S. Terekhov, V. V. Lebedev, G. Falkovich, S. A. Babin, and S. K. Turitsyn, “Wave kinetics of random fibre lasers,” Nat. Commun. 2, 6214 (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, 7004 (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, 5915 (2015).
[Crossref] [PubMed]

Nat. Photon. (2)

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

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

Opt. Commun. (3)

K. Hammani, A. Picozzi, and C. Finot, “Extreme statistics in Raman fiber amplifiers: From analytical description to experiments,” Opt. Commun.,  284(10–11), 2594–2603 (2011).
[Crossref]

S. Randoux and P. Suret, “Toward passive mode locking by nonlinear polarization evolution in a cascaded Raman fiber ring laser,” Opt. Commun. 267(1), 145–148 (2006).
[Crossref]

D. V. Churkin and S. V Smirnov, “Numerical modelling of spectral, temporal and statistical properties of Raman fiber lasers,” Opt. Commun. 285(8), 2154–2160 (2012).
[Crossref]

Opt. Express (4)

Opt. Lett. (5)

Optica (1)

Phys. Rep. (1)

A. Picozzi, J. Garnier, T. Hansson, P. Suret, S. Randoux, G. Millot, and D. N. Christodoulides, “Optical wave turbulence: Towards a unified nonequilibrium thermodynamic formulation of statistical nonlinear optics,” Phys. Rep. 542(1), 1–132 (2014).
[Crossref]

Phys. Rev. A (3)

B. Barviau, B. Kibler, and A. Picozzi, “Wave-turbulence approach of supercontinuum generation: Influence of self-steepening and higher-order dispersion,” Phys. Rev. A 79(6), 63840 (2009).
[Crossref]

M. Conforti, A. Mussot, J. Fatome, A. Picozzi, S. Pitois, C. Finot, M. Haelterman, B. Kibler, C. Michel, and G. Millot, “Turbulent dynamics of an incoherently pumped passive optical fiber cavity: Quasisolitons, dispersive waves, and extreme events,” Phys. Rev. A 91(2), 23823 (2015).
[Crossref]

S. Chouli and P. Grelu, “Soliton rains in a fiber laser: An experimental study,” Phys. Rev. A 81(6), 63829 (2010).
[Crossref]

Phys. Rev. Lett. (4)

M. E. Fermann, V. I. Kruglov, B. C. Thomsen, J. M. Dudley, and J. D. Harvey, “Self-similar propagation and amplification of parabolic pulses in optical fibers,” Phys. Rev. Lett.,  84(26), 6010–6013 (2000).
[Crossref] [PubMed]

C. Menyuk, D. Levi, and P. Winternitz, “Self-similarity in transient stimulated Raman scattering,” Phys. Rev. Lett. 69(21), 3048–3051 (1992).
[Crossref] [PubMed]

S. Randoux, P. Walczak, M. Onorato, and P. Suret, “Intermittency in integrable turbulence,” Phys. Rev. Lett. 113(11), 113902 (2014).
[Crossref] [PubMed]

P. Walczak, S. Randoux, and P. Suret, “Optical rogue waves in integrable turbulence,” Phys. Rev. Lett. 114(14), 143903 (2015).
[Crossref] [PubMed]

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Figures (4)

Fig. 1
Fig. 1 Experimental Setup.
Fig. 2
Fig. 2 Temporal dynamics and probability density functions for different pump powers. All traces presented show stochastic nature of the output radiation, with the mean level of the signal being the only visually discriminable parameter, but not clear enough to determine the operational regime of the laser. a) 1.5 W of pump power, b) 2.0 W, c) 3.0 W, and d) 3.25 W.
Fig. 3
Fig. 3 Spatio-temporal dynamics at different pump power levels. a) Partial mode-locking at 1.5 W. b) and c) Turbulent generation with of different spatio-temporal properties, at 2.0 W and 3.0 W respectively. d) Emergence of short-lived pulses at 3.25 W.
Fig. 4
Fig. 4 2D intensity ACFs over time and evolution coordinate GI(τ, ξ), calculated from the measured intensity spatio-temporal dynamics for a) 1.5 W, b) 2 W, c) 3 W, and d) 3.25 W.

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