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.
© 2013 Optical Society of America
Original Manuscript: May 24, 2013
Revised Manuscript: July 3, 2013
Manuscript Accepted: July 13, 2013
Published: August 5, 2013
Gang Xu, Josselin Garnier, Stefano Trillo, and Antonio Picozzi, "Spectral dynamics of incoherent waves with a noninstantaneous nonlinear response," Opt. Lett. 38, 2972-2975 (2013)