We consider the temporal evolution of an incoherent optical wave that propagates in a noninstantaneous response nonlinear medium, such as single mode optical fibers. In contrast with the expected Raman-like spectral redshift due to a delayed nonlinear response, we show that a highly noninstantaneous response leads to a genuine modulational instability of the incoherent optical wave. We derive a Vlasov-like kinetic equation that provides a detailed description of this process of incoherent modulational instability in the temporal domain.
© 2012 Optical Society of America
Original Manuscript: March 21, 2012
Revised Manuscript: May 3, 2012
Manuscript Accepted: May 6, 2012
Published: June 19, 2012
B. Kibler, C. Michel, J. Garnier, and A. Picozzi, "Temporal dynamics of incoherent waves in noninstantaneous response nonlinear Kerr media," Opt. Lett. 37, 2472-2474 (2012)