The physics of the one-dimensional nonlinear Schrödinger equation in fiber optics: Rogue waves, modulation instability and self-focusing phenomena

F Copie, S Randoux, P Suret - Reviews in Physics, 2020 - Elsevier
We review the different dynamical mechanisms leading to the emergence of coherent
structures in physical systems described by the integrable one-dimensional nonlinear …

Rogue solitons in optical fibers: a dynamical process in a complex energy landscape?

A Armaroli, C Conti, F Biancalana - Optica, 2015 - opg.optica.org
Nondeterministic giant waves, denoted as rogue, killer, monster, or freak waves, have been
reported in many different branches of physics. Their physical interpretation is however still …

Controlled giant rogue waves in nonlinear fiber optics

CN Kumar, R Gupta, A Goyal, S Loomba, TS Raju… - Physical Review A …, 2012 - APS
We show the existence of self-similar giant rogue waves in a tapered graded-index
nonlinear fiber and analytically illustrate their amplification in a rather small spatiotemporal …

The Peregrine soliton in nonlinear fibre optics

B Kibler, J Fatome, C Finot, G Millot, F Dias, G Genty… - Nature physics, 2010 - nature.com
The Peregrine soliton is a localized nonlinear structure predicted to exist over 25 years ago,
but not so far experimentally observed in any physical system. It is of fundamental …

Third-order dispersion for generating optical rogue solitons

M Taki, A Mussot, A Kudlinski, E Louvergneaux… - Physics Letters A, 2010 - Elsevier
We theoretically and numerically evidence that optical rare and strong temporal events
generated in fiber supercontinua originate from convective modulational instabilities. This …

Nonlinear evolution of the locally induced modulational instability in fiber optics

AE Kraych, P Suret, G El, S Randoux - Physical review letters, 2019 - APS
We report an optical fiber experiment in which we study the nonlinear stage of modulational
instability of a plane wave in the presence of a localized perturbation. Using a recirculating …

Real-time measurements of spontaneous breathers and rogue wave events in optical fibre modulation instability

M Närhi, B Wetzel, C Billet, S Toenger… - Nature …, 2016 - nature.com
Modulation instability is a fundamental process of nonlinear science, leading to the unstable
breakup of a constant amplitude solution of a physical system. There has been particular …

Dark three-sister rogue waves in normally dispersive optical fibers with random birefringence

S Chen, JM Soto-Crespo, P Grelu - Optics express, 2014 - opg.optica.org
We investigate dark rogue wave dynamics in normally dispersive birefringent optical fibers,
based on the exact rational solutions of the coupled nonlinear Schrödinger equations …

Breather-to-soliton transitions, nonlinear wave interactions, and modulational instability in a higher-order generalized nonlinear Schrödinger equation

L Wang, JH Zhang, ZQ Wang, C Liu, M Li, FH Qi, R Guo - Physical Review E, 2016 - APS
We study the nonlinear waves on constant backgrounds of the higher-order generalized
nonlinear Schrödinger (HGNLS) equation describing the propagation of ultrashort optical …

Instabilities, breathers and rogue waves in optics

JM Dudley, F Dias, M Erkintalo, G Genty - Nature Photonics, 2014 - nature.com
Optical rogue waves are rare, extreme fluctuations in the value of an optical field. The
term'optical rogue wave'was first used in the context of an analogy between pulse …