D. R. Solli, C. Ropers, P. Koonath, and B. Jalali, Optical rogue waves, Nature, vol.24, issue.7172, p.1054, 2007.
DOI : 10.1038/nature06402

C. Kharif, E. Pelinovsky, and A. Slunyaev, Rogue Waves In The Ocean, Geophysical and Environmental Mechanics and Mathematics, 2009.
URL : https://hal.archives-ouvertes.fr/hal-00327100

V. E. Zakharov and L. A. Ostrovsky, Modulation instability: The beginning, Physica D: Nonlinear Phenomena, vol.238, issue.5, p.540, 2009.
DOI : 10.1016/j.physd.2008.12.002

H. Tamura, T. Waseda, and Y. Miyazawa, incident, Geophysical Research Letters, vol.111, issue.4, p.1607, 2009.
DOI : 10.1029/2008GL036280

G. E. Falkovich, I. Kolokolov, V. Lebedev, and S. K. Turitsyn, Statistics of soliton-bearing systems with additive noise, Physical Review E, vol.63, issue.2, p.25601, 2001.
DOI : 10.1103/PhysRevE.63.025601

A. R. Holzlohner and C. Menyuk, Use of multicanonical Monte Carlo simulations to obtain accurate bit error rates in optical communications systems, Optics Letters, vol.28, issue.20, p.1894, 2003.
DOI : 10.1364/OL.28.001894

J. Garnier and P. , Simulations of rare events in fiber optics by interacting particle systems, Optics Communications, vol.267, issue.1, p.205, 2006.
DOI : 10.1016/j.optcom.2006.05.066

URL : https://hal.archives-ouvertes.fr/hal-00129031

A. Picozzi, Towards a nonequilibrium thermodynamic description of incoherent nonlinear optics, Optics Express, vol.15, issue.14, p.9063, 2007.
DOI : 10.1364/OE.15.009063.m002

URL : https://hal.archives-ouvertes.fr/hal-00449113

J. M. Dudley and J. R. Taylor, Ten years of nonlinear optics in photonic crystal fibre, Nature Photonics, vol.10, issue.2, p.85, 2009.
DOI : 10.1364/OE.15.016604

URL : https://hal.archives-ouvertes.fr/hal-00362106

J. M. Dudley, G. Genty, and S. Coen, Supercontinuum generation in photonic crystal fiber, Reviews of Modern Physics, vol.78, issue.4, p.1135, 2006.
DOI : 10.1103/RevModPhys.78.1135

URL : https://hal.archives-ouvertes.fr/hal-00268071

J. K. Ranka, R. S. Windeler, and A. J. Stentz, Visible continuum generation in air???silica microstructure optical fibers with anomalous dispersion at 800 nm, Optics Letters, vol.25, issue.1, p.25, 2000.
DOI : 10.1364/OL.25.000025

K. L. Corwin, N. R. Newbury, J. M. Dudley, S. Coen, S. A. Diddams et al., Fundamental Noise Limitations to Supercontinuum Generation in Microstructure Fiber, Physical Review Letters, vol.90, issue.11, p.113904, 2003.
DOI : 10.1103/PhysRevLett.90.113904

URL : https://hal.archives-ouvertes.fr/hal-00094002

J. M. Dudley, G. Genty, and B. J. Eggleton, Harnessing and control of optical rogue waves in supercontinuum generation, Optics Express, vol.16, issue.6, p.3644, 2008.
DOI : 10.1364/OE.16.003644

URL : https://hal.archives-ouvertes.fr/hal-00336489

K. L. Corwin, N. R. Newbury, J. M. Dudley, S. Coen, S. A. Diddams et al., Fundamental amplitude noise limitations to supercontinuum spectra generated in a microstructured fiber, Applied Physics B: Lasers and Optics, vol.77, issue.2-3, p.269, 2003.
DOI : 10.1007/s00340-003-1175-x

C. Lafargue, J. Bolger, G. Genty, F. Dias, J. M. Dudley et al., Direct detection of optical rogue wave energy statistics in supercontinuum generation, Electronics Letters, vol.45, issue.4, p.217, 2009.
DOI : 10.1049/el:20093582

URL : https://hal.archives-ouvertes.fr/hal-00376291

M. Erkintalo, G. Genty, and J. M. Dudley, Rogue-wave-like characteristics in femtosecond supercontinuum generation, Optics Letters, vol.34, issue.16, p.2468, 2009.
DOI : 10.1364/OL.34.002468

URL : https://hal.archives-ouvertes.fr/hal-00453750

A. Mussot, A. Kudlinski, M. Kolobov, E. Louvergneaux, M. Douay et al., Observation of extreme temporal events in CW-pumped supercontinuum, Optics Express, vol.17, issue.19, p.17010, 2009.
DOI : 10.1364/OE.17.017010.m001

G. Genty and J. M. Dudley, Route to Coherent Supercontinuum Generation in the Long Pulse Regime, IEEE Journal of Quantum Electronics, vol.45, issue.11, p.1331, 2009.
DOI : 10.1109/JQE.2009.2028032

URL : https://hal.archives-ouvertes.fr/hal-00453759

F. A. Hopf and M. A. Overman, Fluctuations in nonlinear swept-gain amplifiers, Physical Review A, vol.19, issue.3, p.1180, 1979.
DOI : 10.1103/PhysRevA.19.1180

P. Beaud, J. Bi, Q. Hodel, and H. P. Weber, Experimental observation of the self-stabilization of a synchronously pumped dye laser, Optics Communications, vol.80, issue.1, p.31, 1990.
DOI : 10.1016/0030-4018(90)90501-J

P. D. Drummond, J. D. Harvey, J. M. Dudley, D. B. Hirst, and S. J. Carter, Phase Waves in Mode-Locked Superfluorescent Lasers, Physical Review Letters, vol.78, issue.5, p.836, 1997.
DOI : 10.1103/PhysRevLett.78.836

G. New, M. Noy, J. Crosse, A. Rumley, and L. Newson, Simulation of turbulence in mode-locked lasers, Optics Communications, vol.282, issue.22, p.4418, 2009.
DOI : 10.1016/j.optcom.2009.08.007

N. Akhmediev, A. Ankiewicz, and M. Taki, Waves that appear from nowhere and disappear without a trace, Physics Letters A, vol.373, issue.6, p.675, 2009.
DOI : 10.1016/j.physleta.2008.12.036

N. Akhmediev, J. M. Soto-crespo, and A. Ankiewicz, Extreme waves that appear from nowhere: On the nature of rogue waves, Physics Letters A, vol.373, issue.25, p.2137, 2009.
DOI : 10.1016/j.physleta.2009.04.023

A. Ankiewicz, N. Devine, and N. Akhmediev, Are rogue waves robust against perturbations?, Physics Letters A, vol.373, issue.43, p.3997, 2009.
DOI : 10.1016/j.physleta.2009.08.053

URL : http://hdl.handle.net/1885/36250

N. Akhmediev, A. Ankiewicz, and J. M. Soto-crespo, Rogue waves and rational solutions of the nonlinear Schr??dinger equation, Physical Review E, vol.80, issue.2, p.26601, 2009.
DOI : 10.1103/PhysRevE.80.026601

N. Akhmediev, J. M. Soto-crespo, and A. Ankiewicz, How to excite a rogue wave, Physical Review A, vol.80, issue.4, p.43818, 2009.
DOI : 10.1103/PhysRevA.80.043818

J. M. Dudley, G. Genty, F. Dias, B. Kibler, and N. Akhmediev, Modulation instability, Akhmediev Breathers and continuous wave supercontinuum generation, Optics Express, vol.17, issue.24, p.21497, 2009.
DOI : 10.1364/OE.17.021497

URL : https://hal.archives-ouvertes.fr/hal-00447579

J. M. Dudley, C. Finot, D. J. Richardson, and G. Millot, Self-similarity in ultrafast nonlinear optics, Nature Physics, vol.75, issue.9, p.597, 2007.
DOI : 10.1038/nphys705

URL : https://hal.archives-ouvertes.fr/hal-00274994

N. Akhmediev and V. I. Korneev, Modulation instability and periodic solutions of the nonlinear Schr???dinger equation, Theoretical and Mathematical Physics, vol.88, issue.2, p.1089, 1986.
DOI : 10.1007/BF01037866

M. Taki, A. Mussot, A. Kudlinski, E. Louvergneaux, M. Kolobov et al., Third-order dispersion for generating optical rogue solitons, Physics Letters A, vol.374, issue.4, p.691, 2010.
DOI : 10.1016/j.physleta.2009.11.058

G. Genty, C. De-sterke, O. Bang, F. Dias, N. Akhmediev et al., Collisions and turbulence in optical rogue wave formation, Physics Letters A, vol.374, issue.7, p.989, 2010.
DOI : 10.1016/j.physleta.2009.12.014

URL : https://hal.archives-ouvertes.fr/hal-00452627

M. H. Frosz, O. Bang, and A. Bjarklev, Soliton collision and Raman gain regimes in continuous-wave pumped supercontinuum generation, Optics Express, vol.14, issue.20, p.9391, 2006.
DOI : 10.1364/OE.14.009391.m001

F. Luan, D. V. Skryabin, A. V. Yulin, and J. C. Knight, Energy exchange between colliding solitons in photonic crystal fibers, Optics Express, vol.14, issue.21, p.9844, 2006.
DOI : 10.1364/OE.14.009844

A. Owen, Y. Zhou, and J. Amer, Safe and Effective Importance Sampling, Journal of the American Statistical Association, vol.37, issue.2, p.135, 2000.
DOI : 10.1016/0021-9991(77)90121-8

URL : http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.36.2813

G. Biondini, W. Kath, and C. Menyuk, Importance Sampling for Polarization-Mode Dispersion: Techniques and Applications, Journal of Lightwave Technology, vol.22, issue.4, p.1201, 2004.
DOI : 10.1109/JLT.2004.825321

P. Del-moral and J. Garnier, Genealogical particle analysis of rare events, The Annals of Applied Probability, vol.15, issue.4, p.2496, 2005.
DOI : 10.1214/105051605000000566

URL : https://hal.archives-ouvertes.fr/hal-00113982

D. Yevick and . Photon, Multicanonical communication system modeling-application to PMD statistics, IEEE Photonics Technology Letters, vol.14, issue.11, p.1512, 2002.
DOI : 10.1109/LPT.2002.803897

D. Yevick and . Photon, The accuracy of multicanonical system models, IEEE Photonics Technology Letters, vol.15, issue.2, p.224, 2003.
DOI : 10.1109/LPT.2002.806834

C. R. Menyuk, Non-Gaussian corrections to the Gordon???Haus distribution resulting from soliton interactions, Optics Letters, vol.20, issue.3, p.285, 1995.
DOI : 10.1364/OL.20.000285

F. K. Abdullaev, S. A. Darmanyan, and F. Lederer, Evolution of randomly modulated solitons in optical fibers, Optics Communications, vol.126, issue.1-3, p.89, 1996.
DOI : 10.1016/0030-4018(96)00049-1

T. Georges, Study of the non-Gaussian timing jitter statistics induced by soliton interaction and filtering, Optics Communications, vol.123, issue.4-6, p.617, 1996.
DOI : 10.1016/0030-4018(95)00599-4

G. E. Falkovich, M. G. Stepanov, and S. K. Turitsyn, Statistics of interacting optical solitons, Physical Review E, vol.64, issue.6, p.67602, 2001.
DOI : 10.1103/PhysRevE.64.067602

S. A. Derevyanko, S. K. Turitsyn, and D. A. Yakushev, Non-Gaussian statistics of an optical soliton in the presence of amplified spontaneous emission, Optics Letters, vol.28, issue.21, p.2097, 2003.
DOI : 10.1364/OL.28.002097

Y. J. Chung and A. Peleg, Strongly non-Gaussian statistics of optical soliton parameters due to collisions in the presence of delayed Raman response, Nonlinearity, vol.18, issue.4, p.1555, 2005.
DOI : 10.1088/0951-7715/18/4/007

D. Bourlaug, S. Fathpour, and B. Jalali, Extreme Value Statistics in Silicon Photonics, IEEE Photonics Journal, vol.1, issue.1, p.33, 2009.
DOI : 10.1109/JPHOT.2009.2025517

K. Hammani, C. Finot, J. M. Dudley, and G. Millot, Optical rogue-wave-like extreme value fluctuations in fiber Raman amplifiers, Optics Express, vol.16, issue.21, p.16467, 2008.
DOI : 10.1364/OE.16.016467

URL : https://hal.archives-ouvertes.fr/hal-00350144

K. Hammani, C. Finot, and G. Millot, Emergence of extreme events in fiber-based parametric processes driven by a partially incoherent pump wave, Optics Letters, vol.34, issue.8, p.1138, 2009.
DOI : 10.1364/OL.34.001138

URL : https://hal.archives-ouvertes.fr/hal-00408626

J. Kasparian, P. Bejot, J. P. Wolf, and J. M. Dudley, Optical rogue wave statistics in laser filamentation, Optics Express, vol.17, issue.14, p.12070, 2009.
DOI : 10.1364/OE.17.012070

URL : https://hal.archives-ouvertes.fr/hal-00453042

A. Montina, U. Bortolozzo, S. Residori, and F. T. Arecchi, Non-Gaussian Statistics and Extreme Waves in a Nonlinear Optical Cavity, Physical Review Letters, vol.103, issue.17, p.173901, 2009.
DOI : 10.1103/PhysRevLett.103.173901