Universal nonlinear stage of the locally induced modulational instability in fiber optics

Abstract

We report an optical fiber experiment in which we study nonlinear stage of modulational instability of a plane wave in the presence of a localized perturbation. Using a recirculating fiber loop as experimental platform, we show that the initial perturbation evolves into expanding nonlinear oscillatory structure exhibiting some universal characteristics that agree with theoretical predictions based on integrability properties of the focusing nonlinear Schrödinger equation. Our experimental results demonstrate persistence of the universal evolution scenario, even in the presence of small dissipation and noise in an experimental system that is not rigorously of an integrable nature.

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Cited by in corpus (29)

• Bound state soliton gas dynamics underlying the noise-induced modulational instability
• Statistical properties of nonlinear stage of modulation instability in fiber optics
• Doubly periodic solutions of the focusing nonlinear Schrödinger equation: recurrence, period doubling and amplification outside the conventional modulation instability band
• Experimental realization of the Peregrine soliton in repulsive two-component Bose-Einstein condensates
• Phase evolution of Peregrine-like breathers in optics and hydrodynamics
• Non-degenerate Kuznetsov-Ma solitons of Manakov equations and their physical spectra
• From modulational instability to focusing dam breaks in water waves
• Modulation instability and non-degenerate Akhmediev breathers of Manakov equations
• Experimental realization of Fermi-Pasta-Ulam-Tsingou recurrence in a long-haul optical fiber transmission system
• Heteroclinic-structure transition of the pure quartic modulation instability
• Chess-Board-Like Spatio-Temporal Interference Patterns and Their Excitation
• Theoretical and numerical evidence for the potential realization of the Peregrine soliton in repulsive two-component Bose-Einstein condensates
• Floquet-engineered nonlinearities and controllable pair-hopping processes: From optical Kerr cavities to correlated quantum matter
• Floquet engineering of optical nonlinearities: a quantum many-body approach
• Space-time observation of the dynamics of soliton collisions in a recirculating optical fiber loop
• Arago spot formation in the time domain
• Effect of quintic nonlinearity on modulation instability in coupled nonlinear Schroedinger systems
• Structural Phase Transitions of Optical Patterns in Atomic Gases with Microwave Controlled Rydberg Interactions
• Optical pulse doublet resulting from the nonlinear splitting of a super-Gaussian pulse
• Asymptotic stage of modulation instability for the nonlocal nonlinear Schrödinger equation
• Nonlinear interactions between solitons and dispersive shocks in focusing media
• Controllable generations of several nonlinear waves in optical fibers with third-order dispersion
• Dispersion Managed Generation of Peregrine Solitons and Kuznetsov-Ma Breather in an Optical Fiber
• Spatio-temporal observation of higher-order modulation instability in a recirculating fiber loop
• Modulational instability in $\mathcal{P}\mathcal{T}$-symmetric Bragg grating structures with saturable nonlinearity
• Nonlinear stage of modulational instability in repulsive two-component Bose-Einstein condensates
• The linearly damped nonlinear Schrödinger equation with localized driving: spatiotemporal decay estimates and the emergence of extreme wave events
• Controlled manipulation of solitons in a recirculating fiber loop using external potentials
• Vectorial dispersive shock waves on an incoherent landscape