6533b827fe1ef96bd128726f

RESEARCH PRODUCT

Temporal incoherent solitons supported by a defocusing nonlinearity with anomalous dispersion

Antonio PicozziJosselin GarnierBertrand KiblerClaire Michel

subject

Wave packet01 natural sciencesSolitonsoptical instabilities010309 optics[MATH.MATH-ST]Mathematics [math]/Statistics [math.ST]Quantum mechanics0103 physical sciencesDynamics of nonlinear optical systemsOptical solitons010306 general physicsNonlinear Sciences::Pattern Formation and SolitonsGeneralLiterature_REFERENCE(e.g.dictionariesencyclopediasglossaries)ComputingMilieux_MISCELLANEOUSPhysics[PHYS.PHYS.PHYS-OPTICS]Physics [physics]/Physics [physics]/Optics [physics.optics][ PHYS.PHYS.PHYS-OPTICS ] Physics [physics]/Physics [physics]/Optics [physics.optics]and optical spatio-temporal dynamicsComputerSystemsOrganization_COMPUTER-COMMUNICATIONNETWORKS[STAT.TH]Statistics [stat]/Statistics Theory [stat.TH]Atomic and Molecular Physics and Optics[MATH.MATH-PR]Mathematics [math]/Probability [math.PR]Nonlinear systemoptical chaos and complexitySolitonnonlinear guided wavesMathematicsofComputing_DISCRETEMATHEMATICS

description

http://pra.aps.org/; International audience; We study temporal incoherent solitons in noninstantaneous response nonlinear media. Contrarily to the usual temporal soliton, which is known to require a focusing nonlinearity with anomalous dispersion, we show that a highly noninstantaneous nonlinear response leads to incoherent soliton structures which require the inverted situation: In the focusing regime (and anomalous dispersion) the incoherent wave packet experiences an unlimited spreading, whereas in the defocusing regime (still with anomalous dispersion) the incoherent wave packet exhibits a self-trapping. These counterintuitive results are explained in detail by a long-range Vlasov formulation of the problem.

https://hal.archives-ouvertes.fr/hal-00844040/document