One-Dimensional Optical Wave Turbulence: Experiment and Theory
arXiv:1110.4644 · doi:10.1016/j.physrep.2012.01.004
Abstract
We present a review of the latest developments in 1D OWT. Based on an original experimental setup that allows for the implementation of 1D OWT, we are able to show that an inverse cascade occurs through the spontaneous evolution of the nonlinear field up to the point when modulational instability leads to soliton formation. After solitons are formed, further interaction of the solitons among themselves and with incoherent waves leads to a final condensate state dominated by a single strong soliton. Motivated by the observations, we develop a theoretical description, showing that the inverse cascade develops through six-wave interaction, and that this is the basic mechanism of nonlinear wave coupling for 1D OWT. We describe theory, numerics and experimental observations while trying to incorporate all the different aspects into a consistent context.
88 pages, submitted to Physics Reports
References in corpus (16)
- Observation of an Inverse Energy Cascade in Developed Acoustic Turbulence in Superfluid Helium
- Non-Gaussian statistics and extreme waves in a nonlinear optical cavity
- Bottleneck crossover between classical and quantum superfluid turbulence
- Gravity surface wave turbulence in a laboratory flume
- Spectrum of Kelvin-wave turbulence in superfluids
- The interaction of Kelvin waves and the non-locality of the energy transfer in superfluids
- Capillary wave turbulence on a spherical fluid surface in low gravity
- Dispersive shock waves with nonlocal nonlinearity
- Energy Spectra of Developed Turbulencein Helium Superfluids
- Development of Anisotropy in Incompressible Magnetohydrodynamic Turbulence
- Kelvin-wave turbulence in superfluids
- Modeling Kelvin Wave Cascades in Superfluid Helium
- Gradual eddy-wave crossover in superfluid turbulence
- Complex dynamics and configurational entropy of spatial optical solitons in nonlocal media
- Anisotropic turbulent model for solar coronal heating
- Warm turbulence in the Boltzmann equation
Cited by in corpus (40)
- The laminar-turbulent transition in a fibre laser
- Rayleigh-Jeans condensation of classical light : Observation and thermodynamic characterization
- Turbulence Hierarchy in a Random Fibre Laser
- Dramatic acceleration of wave condensation mediated by disorder in multimode fibers
- Double scaling in the relaxation time in the -FPUT model
- Direct numerical simulations of capillary wave turbulence
- Observation of light thermalization to negative temperature Rayleigh-Jeans equilibrium states in multimode optical fibers
- Macroscopic dynamics of incoherent soliton ensembles: soliton-gas kinetics and direct numerical modeling
- Interplay of thermalization and strong disorder: Wave turbulence theory, numerical simulations, and experiments in multimode optical fibers
- Nonlinear waves on the surface of a fluid covered by an elastic sheet
- Optical Random Riemann Waves in Integrable Turbulence
- Wave condensation with weak disorder versus beam self-cleaning in multimode fibers
- Wave Turbulence and thermalization in one-dimensional chains
- Experimental observation of turbulent coherent structures in a superfluid of light
- Experimental quasi-1D capillary-wave turbulence
- Wave turbulence in self-gravitating Bose gases and nonlocal nonlinear optics
- Direct Evidence of a Dual Cascade in Gravitational Wave Turbulence
- Vortex creation, annihilation and nonlinear dynamics in atomic vapors
- Instability onset and scaling laws of an autooscillating turbulent flow in a complex plasma
- Transition from Weak Wave Turbulence to Soliton-Gas
- Energy and wave-action flows underlying Rayleigh-Jeans thermalization of optical waves propagating in a multimode fiber
- Transition from wave turbulence to acousticlike shock-wave regime
- Elastic Weak Turbulence: from the vibrating plate to the drum
- Saturation of the inverse cascade in surface gravity wave turbulence
- Gravity wave turbulence revealed by horizontal vibrations of the container
- Intermittency and emergence of coherent structures in wave turbulence of a vibrating plate
- Direct verification of the kinetic description of wave turbulence for finite-size systems dominated by interactions among groups of 6 waves
- Rayleigh-Jeans thermalization vs beam cleaning in multimode optical fibers
- Observation of an Inverse Turbulent-Wave Cascade in a Driven Quantum Gas
- Wave turbulence: the case of capillary waves (a review)
- Bound-state soliton gas as a limit of adiabatically growing integrable turbulence
- On the origins of spectral broadening of incoherent waves:Catastrophic process of coherence degradation
- Coherent soliton states hidden in phase-space and stabilized by gravitational incoherent structures
- Wave turbulence buildup in a vibrating plate
- Spatio-temporal thermalization and adiabatic cooling of guided light waves
- A bound state attractor in optical turbulence
- Universal route to thermalization in weakly-nonlinear one-dimensional chains
- An effective semilocal model for wave turbulence in 2D nonlinear optics
- Generation of intermittent gravitocapillary waves via parametric forcing
- Irreversible thermalization vs reversible dynamics mediated by anomalous correlators: Wave turbulence theory and experiments in optical fibers