Abstract

We study the radiation build-up in laminar and turbulent generation regimes in quasi-CW Raman fiber laser. We found the resulted spectral shape and generation type is defined by the total spectral broadening/narrowing balance over laser cavity round-trip, which is substantially different in different regimes starting from first round-trips of the radiation build-up. In turbulent regime, the steady-state is reached only after a few round-trips, while in the laminar regime the laser approaches the equilibrium spectrum shape asymptotically.

© 2015 Optical Society of America

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  1. S. K. Turitsyn, J. D. Ania-Castañón, S. A. Babin, V. Karalekas, P. Harper, D. Churkin, S. I. Kablukov, A. E. El-Taher, E. V. Podivilov, and V. K. Mezentsev, “270-km ultralong Raman fiber laser,” Phys. Rev. Lett. 103(13), 133901 (2009).
    [Crossref] [PubMed]
  2. 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), 1729–1738 (2007).
    [Crossref]
  3. S. I. Kablukov, E. A. Zlobina, E. V. Podivilov, and S. A. Babin, “Output spectrum of Yb-doped fiber lasers,” Opt. Lett. 37(13), 2508–2510 (2012).
    [Crossref] [PubMed]
  4. 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] [PubMed]
  5. 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), 063840 (2009).
    [Crossref]
  6. 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]
  7. S. Randoux, P. Walczak, M. Onorato, and P. Suret, “Intermittency in integrable turbulence,” Phys. Rev. Lett. 113(11), 113902 (2014).
    [Crossref] [PubMed]
  8. P. Walczak, S. Randoux, and P. Suret, “Optical rogue waves in integrable turbulence,” Phys. Rev. Lett. 114(14), 143903 (2015).
    [Crossref] [PubMed]
  9. 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), 023823 (2015).
    [Crossref]
  10. S. Wabnitz, “Optical turbulence in fiber lasers,” Opt. Lett. 39(6), 1362–1365 (2014).
    [Crossref] [PubMed]
  11. E. G. Turitsyna, G. Falkovich, V. K. Mezentsev, and S. K. Turitsyn, “Optical turbulence and spectral condensate in long-fiber lasers,” Phys. Rev. A 80(3), 031804 (2009).
    [Crossref]
  12. 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. Photonics 7(10), 783–786 (2013).
    [Crossref]
  13. P. Suret, P. Walczak, and S. Randoux, “Transient buildup of the optical power spectrum in Raman fiber lasers,” Opt. Express 21(2), 2331–2336 (2013).
    [Crossref] [PubMed]
  14. E. G. Turitsyna, S. K. Turitsyn, and V. K. Mezentsev, “Numerical investigation of the impact of reflectors on spectral performance of Raman fibre laser,” Opt. Express 18(5), 4469–4477 (2010).
    [Crossref] [PubMed]
  15. D. V. Churkin, S. V. Smirnov, and E. V. Podivilov, “Statistical properties of partially coherent cw fiber lasers,” Opt. Lett. 35(19), 3288–3290 (2010).
    [Crossref] [PubMed]
  16. 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]
  17. R. G. Smith, “Optical power handling capacity of low loss optical fibers as determined by stimulated Raman and brillouin scattering,” Appl. Opt. 11(11), 2489–2494 (1972).
    [Crossref] [PubMed]
  18. S. Randoux, N. Dalloz, and P. Suret, “Intracavity changes in the field statistics of Raman fiber lasers,” Opt. Lett. 36(6), 790–792 (2011).
    [Crossref] [PubMed]
  19. P. Walczak, S. Randoux, and P. Suret, “Statistics of a turbulent Raman fiber laser,” Opt. Lett. 40(13), 3101–3104 (2015).
    [Crossref] [PubMed]

2015 (4)

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), 023823 (2015).
[Crossref]

P. Walczak, S. Randoux, and P. Suret, “Statistics of a turbulent Raman fiber laser,” Opt. Lett. 40(13), 3101–3104 (2015).
[Crossref] [PubMed]

2014 (3)

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

2013 (2)

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. Photonics 7(10), 783–786 (2013).
[Crossref]

P. Suret, P. Walczak, and S. Randoux, “Transient buildup of the optical power spectrum in Raman fiber lasers,” Opt. Express 21(2), 2331–2336 (2013).
[Crossref] [PubMed]

2012 (2)

S. I. Kablukov, E. A. Zlobina, E. V. Podivilov, and S. A. Babin, “Output spectrum of Yb-doped fiber lasers,” Opt. Lett. 37(13), 2508–2510 (2012).
[Crossref] [PubMed]

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]

2011 (1)

2010 (2)

2009 (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), 063840 (2009).
[Crossref]

S. K. Turitsyn, J. D. Ania-Castañón, S. A. Babin, V. Karalekas, P. Harper, D. Churkin, S. I. Kablukov, A. E. El-Taher, E. V. Podivilov, and V. K. Mezentsev, “270-km ultralong Raman fiber laser,” Phys. Rev. Lett. 103(13), 133901 (2009).
[Crossref] [PubMed]

E. G. Turitsyna, G. Falkovich, V. K. Mezentsev, and S. K. Turitsyn, “Optical turbulence and spectral condensate in long-fiber lasers,” Phys. Rev. A 80(3), 031804 (2009).
[Crossref]

2007 (1)

1972 (1)

Ania-Castañón, J. D.

S. K. Turitsyn, J. D. Ania-Castañón, S. A. Babin, V. Karalekas, P. Harper, D. Churkin, S. I. Kablukov, A. E. El-Taher, E. V. Podivilov, and V. K. Mezentsev, “270-km ultralong Raman fiber laser,” Phys. Rev. Lett. 103(13), 133901 (2009).
[Crossref] [PubMed]

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. Photonics 7(10), 783–786 (2013).
[Crossref]

S. I. Kablukov, E. A. Zlobina, E. V. Podivilov, and S. A. Babin, “Output spectrum of Yb-doped fiber lasers,” Opt. Lett. 37(13), 2508–2510 (2012).
[Crossref] [PubMed]

S. K. Turitsyn, J. D. Ania-Castañón, S. A. Babin, V. Karalekas, P. Harper, D. Churkin, S. I. Kablukov, A. E. El-Taher, E. V. Podivilov, and V. K. Mezentsev, “270-km ultralong Raman fiber laser,” Phys. Rev. Lett. 103(13), 133901 (2009).
[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), 1729–1738 (2007).
[Crossref]

Barviau, B.

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), 063840 (2009).
[Crossref]

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] [PubMed]

Churkin, D.

S. K. Turitsyn, J. D. Ania-Castañón, S. A. Babin, V. Karalekas, P. Harper, D. Churkin, S. I. Kablukov, A. E. El-Taher, E. V. Podivilov, and V. K. Mezentsev, “270-km ultralong Raman fiber laser,” Phys. Rev. Lett. 103(13), 133901 (2009).
[Crossref] [PubMed]

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]

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. Photonics 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, S. V. Smirnov, and E. V. Podivilov, “Statistical properties of partially coherent cw fiber lasers,” Opt. Lett. 35(19), 3288–3290 (2010).
[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), 1729–1738 (2007).
[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), 023823 (2015).
[Crossref]

Dalloz, N.

El-Taher, A. E.

S. K. Turitsyn, J. D. Ania-Castañón, S. A. Babin, V. Karalekas, P. Harper, D. Churkin, S. I. Kablukov, A. E. El-Taher, E. V. Podivilov, and V. K. Mezentsev, “270-km ultralong Raman fiber laser,” Phys. Rev. Lett. 103(13), 133901 (2009).
[Crossref] [PubMed]

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. Photonics 7(10), 783–786 (2013).
[Crossref]

E. G. Turitsyna, G. Falkovich, V. K. Mezentsev, and S. K. Turitsyn, “Optical turbulence and spectral condensate in long-fiber lasers,” Phys. Rev. A 80(3), 031804 (2009).
[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), 023823 (2015).
[Crossref]

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), 023823 (2015).
[Crossref]

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] [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), 023823 (2015).
[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] [PubMed]

Harper, P.

S. K. Turitsyn, J. D. Ania-Castañón, S. A. Babin, V. Karalekas, P. Harper, D. Churkin, S. I. Kablukov, A. E. El-Taher, E. V. Podivilov, and V. K. Mezentsev, “270-km ultralong Raman fiber laser,” Phys. Rev. Lett. 103(13), 133901 (2009).
[Crossref] [PubMed]

Ismagulov, A. E.

Kablukov, S. I.

Karalekas, V.

S. K. Turitsyn, J. D. Ania-Castañón, S. A. Babin, V. Karalekas, P. Harper, D. Churkin, S. I. Kablukov, A. E. El-Taher, E. V. Podivilov, and V. K. Mezentsev, “270-km ultralong Raman fiber laser,” Phys. Rev. Lett. 103(13), 133901 (2009).
[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), 023823 (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), 063840 (2009).
[Crossref]

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]

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]

Mezentsev, V. K.

E. G. Turitsyna, S. K. Turitsyn, and V. K. Mezentsev, “Numerical investigation of the impact of reflectors on spectral performance of Raman fibre laser,” Opt. Express 18(5), 4469–4477 (2010).
[Crossref] [PubMed]

E. G. Turitsyna, G. Falkovich, V. K. Mezentsev, and S. K. Turitsyn, “Optical turbulence and spectral condensate in long-fiber lasers,” Phys. Rev. A 80(3), 031804 (2009).
[Crossref]

S. K. Turitsyn, J. D. Ania-Castañón, S. A. Babin, V. Karalekas, P. Harper, D. Churkin, S. I. Kablukov, A. E. El-Taher, E. V. Podivilov, and V. K. Mezentsev, “270-km ultralong Raman fiber laser,” Phys. Rev. Lett. 103(13), 133901 (2009).
[Crossref] [PubMed]

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), 023823 (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), 023823 (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] [PubMed]

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), 023823 (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]

Onorato, M.

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

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), 023823 (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] [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), 063840 (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), 023823 (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. Photonics 7(10), 783–786 (2013).
[Crossref]

S. I. Kablukov, E. A. Zlobina, E. V. Podivilov, and S. A. Babin, “Output spectrum of Yb-doped fiber lasers,” Opt. Lett. 37(13), 2508–2510 (2012).
[Crossref] [PubMed]

D. V. Churkin, S. V. Smirnov, and E. V. Podivilov, “Statistical properties of partially coherent cw fiber lasers,” Opt. Lett. 35(19), 3288–3290 (2010).
[Crossref] [PubMed]

S. K. Turitsyn, J. D. Ania-Castañón, S. A. Babin, V. Karalekas, P. Harper, D. Churkin, S. I. Kablukov, A. E. El-Taher, E. V. Podivilov, and V. K. Mezentsev, “270-km ultralong Raman fiber laser,” Phys. Rev. Lett. 103(13), 133901 (2009).
[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), 1729–1738 (2007).
[Crossref]

Randoux, S.

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

P. Walczak, S. Randoux, and P. Suret, “Statistics of a turbulent Raman fiber laser,” Opt. Lett. 40(13), 3101–3104 (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] [PubMed]

P. Suret, P. Walczak, and S. Randoux, “Transient buildup of the optical power spectrum in Raman fiber lasers,” Opt. Express 21(2), 2331–2336 (2013).
[Crossref] [PubMed]

S. Randoux, N. Dalloz, and P. Suret, “Intracavity changes in the field statistics of Raman fiber lasers,” Opt. Lett. 36(6), 790–792 (2011).
[Crossref] [PubMed]

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. Photonics 7(10), 783–786 (2013).
[Crossref]

Smirnov, S. V.

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. Photonics 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, S. V. Smirnov, and E. V. Podivilov, “Statistical properties of partially coherent cw fiber lasers,” Opt. Lett. 35(19), 3288–3290 (2010).
[Crossref] [PubMed]

Smith, R. G.

Sugavanam, S.

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. Photonics 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]

P. Walczak, S. Randoux, and P. Suret, “Statistics of a turbulent Raman fiber laser,” Opt. Lett. 40(13), 3101–3104 (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] [PubMed]

P. Suret, P. Walczak, and S. Randoux, “Transient buildup of the optical power spectrum in Raman fiber lasers,” Opt. Express 21(2), 2331–2336 (2013).
[Crossref] [PubMed]

S. Randoux, N. Dalloz, and P. Suret, “Intracavity changes in the field statistics of Raman fiber lasers,” Opt. Lett. 36(6), 790–792 (2011).
[Crossref] [PubMed]

Tarasov, N.

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. Photonics 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]

Turitsyn, S. K.

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. Photonics 7(10), 783–786 (2013).
[Crossref]

E. G. Turitsyna, S. K. Turitsyn, and V. K. Mezentsev, “Numerical investigation of the impact of reflectors on spectral performance of Raman fibre laser,” Opt. Express 18(5), 4469–4477 (2010).
[Crossref] [PubMed]

E. G. Turitsyna, G. Falkovich, V. K. Mezentsev, and S. K. Turitsyn, “Optical turbulence and spectral condensate in long-fiber lasers,” Phys. Rev. A 80(3), 031804 (2009).
[Crossref]

S. K. Turitsyn, J. D. Ania-Castañón, S. A. Babin, V. Karalekas, P. Harper, D. Churkin, S. I. Kablukov, A. E. El-Taher, E. V. Podivilov, and V. K. Mezentsev, “270-km ultralong Raman fiber laser,” Phys. Rev. Lett. 103(13), 133901 (2009).
[Crossref] [PubMed]

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. Photonics 7(10), 783–786 (2013).
[Crossref]

E. G. Turitsyna, S. K. Turitsyn, and V. K. Mezentsev, “Numerical investigation of the impact of reflectors on spectral performance of Raman fibre laser,” Opt. Express 18(5), 4469–4477 (2010).
[Crossref] [PubMed]

E. G. Turitsyna, G. Falkovich, V. K. Mezentsev, and S. K. Turitsyn, “Optical turbulence and spectral condensate in long-fiber lasers,” Phys. Rev. A 80(3), 031804 (2009).
[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, “Statistics of a turbulent Raman fiber laser,” Opt. Lett. 40(13), 3101–3104 (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]

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

P. Suret, P. Walczak, and S. Randoux, “Transient buildup of the optical power spectrum in Raman fiber lasers,” Opt. Express 21(2), 2331–2336 (2013).
[Crossref] [PubMed]

Zlobina, E. A.

Appl. Opt. (1)

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

Nat. Commun. (1)

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]

Nat. Photonics (1)

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. Photonics 7(10), 783–786 (2013).
[Crossref]

Opt. Commun. (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]

Opt. Express (2)

Opt. Lett. (5)

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] [PubMed]

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), 063840 (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), 023823 (2015).
[Crossref]

E. G. Turitsyna, G. Falkovich, V. K. Mezentsev, and S. K. Turitsyn, “Optical turbulence and spectral condensate in long-fiber lasers,” Phys. Rev. A 80(3), 031804 (2009).
[Crossref]

Phys. Rev. Lett. (3)

S. K. Turitsyn, J. D. Ania-Castañón, S. A. Babin, V. Karalekas, P. Harper, D. Churkin, S. I. Kablukov, A. E. El-Taher, E. V. Podivilov, and V. K. Mezentsev, “270-km ultralong Raman fiber laser,” Phys. Rev. Lett. 103(13), 133901 (2009).
[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 (5)

Fig. 1
Fig. 1 Raman fiber laser setup with marked points where the generation properties are analyzed: A – initial point for the generation wave co-propagating with the pump wave, B – after propagation along the fiber, but before the reflection from the right laser mirror, C – after reflection from the laser mirror, D – after propagation in direction opposite to the pump wave.
Fig. 2
Fig. 2 (a) Optical spectrum in laminar (red) and turbulent (black) generation regimes. (b,c) The spectrum dynamics in (b) turbulent and (c) laminar regimes. N is the number of round-trips after the moment of time when the pump wave is switched on.
Fig. 3
Fig. 3 Spectral broadening in turbulent (upper row, a–c) and laminar (lower row, d–f) regimes. (a), (d) Spectral broadening factors calculated as ΓB/ ΓA (black line) and ΓD/ ΓC (red line). (c), (d) The spectral broadening after reflection from the laser mirrors: factor ΓC/ ΓB is for the right mirror (black), factor as ΓA/ ΓD is for the left mirror (red). (c), (f) Intensity ACF background level (calculated at large temporal delays) at points A (black) and B (red).
Fig. 4
Fig. 4 (a) Longitudinal generation power distribution over the fiber for forward- (black) and backward-propagating (red) generation waves. (b) Linear correlation between spectral broadening factor and integral ∫ P(z) dz for forward (black) and backward propagation wave. Each dot corresponds to one cavity round-trip, gray line shows linear trend.
Fig. 5
Fig. 5 (a) Total spectral broadening factor calculated over entire cavity round-trip in laminar (black) and turbulent (red) regimes. Horizontal line marks the level at which there is no any spectral broadening or narrowing, i.e. spectral broadening factor is equal to unity. (b) Evolution of rms spectral width in laminar (black) and turbulent (red) regimes.

Equations (1)

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A s ± z ± + i 2 β 2s 2 A s ± t 2 + α s 2 A s ± =i γ s | A s ± | 2 A s ± + g s 2 ( | A p ± | 2 + | A p | 2 ) A s ± ,

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