6533b82bfe1ef96bd128e06f
RESEARCH PRODUCT
Unified kinetic formulation of incoherent waves propagating in nonlinear media with noninstantaneous response
Antonio PicozziJosselin Garniersubject
Physics[MATH.MATH-PR] Mathematics [math]/Probability [math.PR]Random fieldField (physics)Langmuir TurbulenceComputerSystemsOrganization_COMPUTER-COMMUNICATIONNETWORKSKinetic energy01 natural sciencesInstabilityAtomic and Molecular Physics and Optics010305 fluids & plasmas[MATH.MATH-PR]Mathematics [math]/Probability [math.PR]Nonlinear systemModulational instabilityClassical mechanics0103 physical sciences010306 general physicsGeneralLiterature_REFERENCE(e.g.dictionariesencyclopediasglossaries)RandomnessComputingMilieux_MISCELLANEOUSMathematicsofComputing_DISCRETEMATHEMATICSdescription
This article presents a unified kinetic formulation of partially coherent nonlinear optical waves propagating in a noninstantaneous response Kerr medium. We derive a kinetic equation that combines the weak Langmuir turbulence kinetic equation and a Vlasov-like equation within a general framework: It describes the evolution of the spectrum of a random field that exhibits a quasistationary statistics in the presence of a noninstantaneous nonlinear response. The kinetic equation sheds new light on the dynamics of partially coherent nonlinear waves and allows for a qualitative interpretation of the interplay between the noninstantaneous nonlinearity and the nonstationary statistics of the incoherent field. It is shown that the incoherent modulational instability of a random nonlinear wave can be suppressed by the noninstantaneous nonlinear response. Moreover, incoherent modulational instability can prevent the generation of spectral incoherent solitons.
| year | journal | country | edition | language |
|---|---|---|---|---|
| 2010-03-18 |