6533b85dfe1ef96bd12be816

RESEARCH PRODUCT

Spectral dynamics of incoherent waves with a noninstantaneous nonlinear response

Josselin GarnierAntonio PicozziStefano TrilloGang Xu

subject

incoherent waves[MATH.MATH-PR] Mathematics [math]/Probability [math.PR]Wave propagationIncoherent scatter01 natural sciences010309 opticsBackground noisesymbols.namesakeOptics[MATH.MATH-ST]Mathematics [math]/Statistics [math.ST]0103 physical sciences010306 general physics[MATH.MATH-ST] Mathematics [math]/Statistics [math.ST]ComputingMilieux_MISCELLANEOUSPhysicsbusiness.industry[STAT.TH] Statistics [stat]/Statistics Theory [stat.TH][STAT.TH]Statistics [stat]/Statistics Theory [stat.TH]Surface plasmon polaritonAtomic and Molecular Physics and OpticsBlueshift[MATH.MATH-PR]Mathematics [math]/Probability [math.PR]Nonlinear systemsymbolsbusinessRaman scatteringCoherence (physics)

description

We study the influence of a constant background noise on the dynamics of spectral incoherent solitons, which are incoherent structures sustained by a noninstantaneous (Raman-like) nonlinearity. As the level of the noise background increases, the incoherent wave enters a novel nonlinear regime characterized by oscillatory dynamics of the incoherent spectrum, which develop within a spectral cone during the propagation. In contrast to the conventional Raman-like spectral red shift, such incoherent spectral dynamics can be characterized by a significant spectral blue shift. On the basis of the kinetic wave theory, we derive explicit analytical expressions of these incoherent oscillatory spectral dynamics.

yearjournalcountryeditionlanguage
2013-01-01
https://hal.archives-ouvertes.fr/hal-00934787