6533b7dafe1ef96bd126df73

RESEARCH PRODUCT

Introduction to Wave Turbulence Formalisms for Incoherent Optical Waves

Antonio PicozziSergio RicaGang XuJosselin Garnier

subject

PhysicsTurbulenceLangmuir TurbulenceWave turbulenceVlasov equationIncoherent scatter01 natural sciencesSupercontinuum010309 opticssymbols.namesakeNonlinear systemQuantum electrodynamics0103 physical sciencessymbols010306 general physicsNonlinear Schrödinger equation

description

We provide an introduction to different wave turbulence formalisms describing the propagation of partially incoherent optical waves in nonlinear media. We consider the nonlinear Schrodinger equation as a representative model accounting for a nonlocal or a noninstantaneous nonlinearity, as well as higher-order dispersion effects. We discuss the wave turbulence kinetic equation describing, e.g., wave condensation or wave thermalization through supercontinuum generation; the Vlasov formalism describing incoherent modulational instabilities and the formation of large scale incoherent localized structures in analogy with long-range gravitational systems; and the weak Langmuir turbulence formalism describing spectral incoherent solitons, as well as spectral shock or collapse singularities. Finally, recent developments and some open questions are discussed, in particular in relation with a wave turbulence formulation of laser systems and different mechanisms of breakdown of thermalization.

yearjournalcountryeditionlanguage
2016-01-01
https://doi.org/10.1007/978-3-319-39214-1_8