Instabilities, breathers and rogue waves in optics

Curious wave phenomena that occur in optical fibres due to the interplay of instability and nonlinear effects are reviewed.

[1]  J. Walkup,et al.  Statistical optics , 1986, IEEE Journal of Quantum Electronics.

[2]  Cristina Masoller,et al.  Deterministic optical rogue waves. , 2011, Physical review letters.

[3]  J. Fatome,et al.  Observation of Kuznetsov-Ma soliton dynamics in optical fibre , 2012, Scientific Reports.

[4]  Fedor Mitschke,et al.  Possibility of an Akhmediev breather decaying into solitons , 2012 .

[5]  B. Jalali,et al.  Rogue events and noise shaping in nonlinear silicon photonics , 2013 .

[6]  N. Hoffmann,et al.  Super Rogue Waves: Observation of a Higher-Order Breather in Water Waves , 2012 .

[7]  Miro Erkintalo,et al.  Coherence and shot-to-shot spectral fluctuations in noise-like ultrafast fiber lasers. , 2013, Optics letters.

[8]  J. Soto-Crespo,et al.  Rogue waves and rational solutions of the nonlinear Schrödinger equation. , 2009, Physical review. E, Statistical, nonlinear, and soft matter physics.

[9]  B. Wetzel,et al.  Akhmediev breather evolution in optical fiber for realistic initial conditions , 2011 .

[10]  Optical rogue waves in an all-solid-state laser with a saturable absorber: importance of the spatial effects , 2013 .

[11]  Stimulated supercontinuum generation extends broadening limits in silicon , 2012 .

[12]  Rumen Iliew,et al.  Rogue waves in mode-locked fiber lasers , 2012 .

[13]  D. Solli,et al.  Recent progress in investigating optical rogue waves , 2013 .

[14]  N. Akhmediev,et al.  Modulation instability and periodic solutions of the nonlinear Schrödinger equation , 1986 .

[15]  B. Jalali,et al.  Active control of rogue waves for stimulated supercontinuum generation. , 2008, Physical review letters.

[16]  D. Faccio,et al.  Spatiotemporal rogue events in femtosecond filamentation , 2011 .

[17]  C. Klüppelberg,et al.  Subexponential distributions , 1998 .

[18]  Yan‐Chow Ma,et al.  The Perturbed Plane‐Wave Solutions of the Cubic Schrödinger Equation , 1979 .

[19]  N. Hoffmann,et al.  Hydrodynamic supercontinuum. , 2013, Physical review letters.

[20]  Miro Erkintalo,et al.  Raman rogue waves in a partially mode-locked fiber laser. , 2014, Optics letters.

[21]  G. Millot,et al.  Optical rogue-wave-like extreme value fluctuations in fiber Raman amplifiers. , 2008, Optics express.

[22]  Control of pulse-to-pulse fluctuations in visible supercontinuum. , 2010, Optics express.

[23]  V. Zakharov,et al.  Soliton turbulence in nonintegrable wave systems , 1989 .

[24]  L. Larger,et al.  Real-time full bandwidth measurement of spectral noise in supercontinuum generation , 2012, Scientific reports.

[25]  Adrian Ankiewicz,et al.  Classifying the hierarchy of nonlinear-Schrödinger-equation rogue-wave solutions. , 2013, Physical review. E, Statistical, nonlinear, and soft matter physics.

[26]  Nail Akhmediev,et al.  Efficient modulation frequency doubling by induced modulation instability , 2010 .

[27]  R. Adler,et al.  A practical guide to heavy tails: statistical techniques and applications , 1998 .

[28]  Günter Steinmeyer,et al.  Spatiotemporal rogue events in optical multiple filamentation. , 2013, Physical review letters.

[29]  Karsten Trulsen,et al.  NOTE ON BREATHER TYPE SOLUTIONS OF THE NLS AS MODELS FOR FREAK-WAVES , 1999 .

[30]  Extreme Value Statistics in Silicon Photonics , 2008, IEEE Photonics Journal.

[31]  G. Millot,et al.  Emergence of extreme events in fibre-based parametric processes driven by a partially incoherent pump wave , 2009, CLEO/Europe - EQEC 2009 - European Conference on Lasers and Electro-Optics and the European Quantum Electronics Conference.

[32]  W. Munk,et al.  Wind, sea, and swell : Theory of relations for forecasting , 1947 .

[33]  J. Dudley,et al.  Supercontinuum generation in photonic crystal fiber , 2006 .

[34]  Günter Steinmeyer,et al.  Rogue wave formation by accelerated solitons at an optical event horizon , 2014 .

[35]  V. Shrira,et al.  What makes the Peregrine soliton so special as a prototype of freak waves? , 2010 .

[36]  C. Finot,et al.  Rogue waves, rational solitons and wave turbulence theory , 2011 .

[37]  E. Kuznetsov,et al.  Solitons in a parametrically unstable plasma , 1977 .

[38]  A Montina,et al.  Granularity and inhomogeneity are the joint generators of optical rogue waves. , 2011, Physical review letters.

[39]  Y. Silberberg,et al.  Noiselike pulses with a broadband spectrum generated from an erbium-doped fiber laser. , 1997, Optics letters.

[40]  Mark A. McComb.  A Practical Guide to Heavy Tails , 2000, Technometrics.

[41]  N. Vladimirova,et al.  Non-Gaussian statistics of multiple filamentation. , 2010, Optics letters.

[42]  Pierre Suret,et al.  Experimental evidence of extreme value statistics in Raman fiber lasers. , 2012, Optics letters.

[43]  Adrian Ankiewicz,et al.  Solitons : nonlinear pulses and beams , 1997 .

[44]  J. Dudley,et al.  Rogue-wave-like characteristics in femtosecond supercontinuum generation. , 2009, Optics letters.

[45]  D. H. Peregrine,et al.  Water waves, nonlinear Schrödinger equations and their solutions , 1983, The Journal of the Australian Mathematical Society. Series B. Applied Mathematics.

[46]  Walter Munk,et al.  Wind, sea and swell : , 1947 .

[47]  Laurent Larger,et al.  Optical Rogue Waves in Whispering-Gallery-Mode Resonators , 2014, 1401.0924.

[48]  Nail Akhmediev,et al.  Dissipative rogue waves: extreme pulses generated by passively mode-locked lasers. , 2011, Physical review. E, Statistical, nonlinear, and soft matter physics.

[49]  B Jalali,et al.  Seeded supercontinuum generation with optical parametric down-conversion. , 2010, Physical review letters.

[50]  Miro Erkintalo,et al.  On the statistical interpretation of optical rogue waves , 2010, 1007.2782.

[51]  Alfred R. Osborne,et al.  Nonlinear Ocean Waves and the Inverse Scattering Transform , 2010 .

[52]  E. Heller,et al.  Freak waves in the linear regime: a microwave study. , 2009, Physical review letters.

[53]  N. Hoffmann,et al.  Experimental observation of dark solitons on the surface of water. , 2013, Physical review letters.

[54]  Günther Clauss,et al.  Rogue Waves: From Nonlinear Schrödinger Breather Solutions to Sea-Keeping Test , 2013, PloS one.

[56]  About shape of giant breather , 2010 .

[57]  F. Arecchi,et al.  Non-Gaussian statistics and extreme waves in a nonlinear optical cavity. , 2009, Physical review letters.

[58]  J. Dold,et al.  Unsteady water wave modulations: fully nonlinear solutions and comparison with the nonlinear Schrodinger equation , 1999 .

[59]  Manuel A. Andrade,et al.  Physical mechanisms of the Rogue Wave phenomenon , 2022 .

[60]  C. Finot,et al.  Emergence of rogue waves from optical turbulence , 2010, CLEO: 2011 - Laser Science to Photonic Applications.

[61]  B. Eggleton,et al.  Modulation control and spectral shaping of optical fiber supercontinuum generation in the picosecond regime , 2008, 0809.2388.

[62]  Ricardo Sevilla-Escoboza,et al.  Rogue waves in a multistable system. , 2011, Physical review letters.

[63]  B. Jalali,et al.  Optical rogue waves , 2007, Nature.

[64]  S. L. Shapiro,et al.  Study of the Nd: Glass laser radiation , 1970 .

[65]  J. Wolf,et al.  Optical rogue wave statistics in laser filamentation. , 2009, Optics express.

[66]  S. Jian,et al.  An adaptive filter for studying the life cycle of optical rogue waves. , 2010, Optics express.

[67]  P. Grelu,et al.  Dissipative rogue waves generated by chaotic pulse bunching in a mode-locked laser. , 2012, Physical review letters.

[68]  V. Matveev,et al.  Multi-rogue waves solutions to the focusing NLS equation and the KP-I equation , 2011 .

[69]  Adrian Ankiewicz,et al.  Rogue waves in optical fibers in presence of third-order dispersion, self-steepening, and self-frequency shift , 2013 .

[70]  G. Millot,et al.  Peregrine soliton generation and breakup in standard telecommunications fiber. , 2011, Optics letters.

[71]  V E Zakharov,et al.  Nonlinear stage of modulation instability. , 2012, Physical review letters.

[72]  J. Knight,et al.  Energy exchange between colliding solitons in photonic crystal fibers. , 2006, Optics express.

[73]  J. R. Taylor,et al.  Generation of 2 THz repetition rate pulse trains through induced modulational instability , 1989 .

[74]  Vladimir E. Zakharov,et al.  Modulation instability of Stokes wave → freak wave , 2005 .

[75]  On the phase-dependent manifestation of optical rogue wavesThis article is one of a series published throughout 2011 and 2012 in Nonlinearity on the topic of Rogue Waves. , 2012 .

[76]  C. Finot,et al.  Soliton and rogue wave statistics in supercontinuum generation in photonic crystal fibre with two zero dispersion wavelengths , 2009 .

[77]  K. Dysthe,et al.  Note on a modification to the nonlinear Schrödinger equation for application to deep water waves , 1979, Proceedings of the Royal Society of London. A. Mathematical and Physical Sciences.

[78]  Frédéric Dias,et al.  NONLINEAR GRAVITY AND CAPILLARY-GRAVITY WAVES , 1999 .

[79]  A. Mussot,et al.  Control of the soliton self-frequency shift dynamics using topographic optical fibers. , 2013, Optics letters.

[80]  H. H. Chen,et al.  Nonlinear pulse propagation in the neighborhood of the zero-dispersion wavelength of monomode optical fibers. , 1986, Optics letters.

[81]  N. Hoffmann,et al.  Rogue wave observation in a water wave tank. , 2011, Physical review letters.

[82]  L Larger,et al.  Real time noise and wavelength correlations in octave-spanning supercontinuum generation. , 2013, Optics express.

[83]  Akira Hasegawa,et al.  Generation of subpicosecond solitonlike optical pulses at 0.3 THz repetition rate by induced modulational instability , 1986 .

[84]  J. Gordon,et al.  Theory of the soliton self-frequency shift. , 1986, Optics letters.

[85]  K. Goda,et al.  Dispersive Fourier transformation for fast continuous single-shot measurements , 2013, Nature Photonics.

[86]  Bahram Jalali,et al.  Fluctuations and correlations in modulation instability , 2012, Nature Photonics.

[87]  Controllable optical rogue waves: Recurrence, annihilation and sustainment , 2011 .

[88]  Rodislav Driben,et al.  Accelerated rogue waves generated by soliton fusion at the advanced stage of supercontinuum formation in photonic-crystal fibers. , 2012, Optics letters.

[89]  Günter Steinmeyer,et al.  Rogue events in the group velocity horizon , 2012, Scientific Reports.

[90]  Govind P. Agrawal,et al.  Nonlinear Fiber Optics , 1989 .

[91]  Pierre Gaillard,et al.  On multi-rogue wave solutions of the NLS equation and positon solutions of the KdV equation , 2010 .

[92]  Sergei K. Turitsyn,et al.  Optical rogue waves in telecommunication data streams , 2011 .

[93]  J. Tredicce,et al.  Extreme events in the Ti:sapphire laser. , 2011, Optics letters.

[94]  A. Mussot,et al.  Observation of extreme temporal events in CW-pumped supercontinuum. , 2009, Optics express.

[95]  Optical tsunamis: shoaling of shallow water rogue waves in nonlinear fibers with normal dispersion , 2013, 1301.6067.

[96]  J. Soto-Crespo,et al.  Extreme waves that appear from nowhere: On the nature of rogue waves , 2009 .

[97]  K. Tsia,et al.  Investigating the influence of a weak continuous-wave-trigger on picosecond supercontinuum generation. , 2011, Optics express.

[98]  Laurent Larger,et al.  Incoherent resonant seeding of modulation instability in optical fiber. , 2013, Optics letters.

[99]  N. Akhmediev,et al.  Waves that appear from nowhere and disappear without a trace , 2009 .

[100]  F. Dias,et al.  Modulation instability, Akhmediev Breathers and continuous wave supercontinuum generation. , 2009, Optics express.

[101]  O. Bang,et al.  Collisions and turbulence in optical rogue wave formation , 2010 .

[102]  C. Finot,et al.  Higher-order modulation instability in nonlinear fiber optics. , 2011, Physical review letters.

[103]  H. Haken.  Synergetics: Introduction and Advanced Topics , 2004 .

[104]  Guy Millot,et al.  Collision of Akhmediev Breathers in Nonlinear Fiber Optics , 2013 .

[105]  B. Eggleton,et al.  Harnessing and control of optical rogue waves in supercontinuum generation. , 2008, Optics express.

[106]  Efim Pelinovsky,et al.  Editorial – Introductory remarks on “Discussion & Debate: Rogue Waves – Towards a Unifying Concept?” , 2010 .

[107]  James P. Gordon,et al.  Femtosecond distributed soliton spectrum in fibers , 1989 .

[108]  O. Bang,et al.  Soliton collision and Raman gain regimes in continuous-wave pumped supercontinuum generation. , 2006, Optics express.

[109]  P. Emplit,et al.  Experimental demonstration of the Fermi-Pasta-Ulam recurrence in a modulationally unstable optical wave. , 2001, Physical review letters.

[110]  Frédéric Dias,et al.  The Peregrine soliton in nonlinear fibre optics , 2010 .

[111]  Sergei K. Turitsyn,et al.  Soliton-based discriminator of noncoherent optical pulses , 2008 .

[112]  Arnaud Mussot,et al.  Fourth-order dispersion mediated modulation instability in dispersion oscillating fibers. , 2013, Optics letters.

[113]  N Akhmediev,et al.  Spectral dynamics of modulation instability described using Akhmediev breather theory. , 2011, Optics letters.

[114]  Umberto Bortolozzo,et al.  Rogue waves and their generating mechanisms in different physical contexts , 2013 .

[115]  K. Tsia,et al.  Manipulating supercontinuum generation by minute continuous wave. , 2011, Optics letters.

[116]  A. Mussot,et al.  Third-order dispersion for generating optical rogue solitons , 2010 .

[117]  J. Taylor,et al.  Role of pump coherence in the evolution of continuous-wave supercontinuum generation initiated by modulation instability , 2012 .

[118]  B. Eggleton,et al.  Direct detection of optical rogue wave energy statistics in supercontinuum generation , 2009 .

[119]  L. Ostrovsky,et al.  Modulation instability: The beginning , 2009 .