We study the interaction of temporal incoherent solitons sustained by a highly noninstantaneous (Raman-like) nonlinear response. The incoherent solitons exhibit a nonmutual interaction, which can be either attractive or repulsive depending on their relative initial distance. The analysis reveals that incoherent solitons exhibit a long-range interaction in frequency space, which is in contrast with the expected spectral short-range interaction described by the usual approach based on the Raman-like spectral gain curve. Both phenomena of anomalous interaction and spectral long-range behavior of incoherent solitons are described in detail by a long-range Vlasov equation.
© 2014 Optical Society of America
Original Manuscript: November 8, 2013
Manuscript Accepted: December 18, 2013
Published: January 27, 2014
Gang Xu, Josselin Garnier, and Antonio Picozzi, "Spectral long-range interaction of temporal incoherent solitons," Opt. Lett. 39, 590-593 (2014)