Abstract

One of the most advanced frontiers of the nonlinear optics is the Modulation instability (MI) [1]. MI is a good old phenomena featuring in most nonlinear wave systems in nature. It is the interplay between the self-phase modulation (SPM) and group velocity dispersion (GVD), where weak perturbations typically the noise imposed on a CW state grow exponentially, as a result of the interplay between nonlinear and dispersive effects. Modulational instability has already been extensively studied for the case of instantaneous kerr medium, but as the input power reaches a threshold then higher order nonlinearity will inevitable comes which eventually saturates the nonlinear response (SNL) of the medium. Recently, Liu et al, deals the role of delayed nonlinear response with the effect of GVD, but till date there is no convincing report regarding the effect of HOD [2]. Thus, the combination of saturation and delay is an interesting problem and deserves our attention. Hence in this report we investigate the interplay between delay and saturation in the MI.

© 2014 Japan Society of Applied Physics, Optical Society of America