Gaussian pulse behavior in nonlocal Kerr-like media: application to the generation of compact bright pulses

Abstract

The dynamics of the Gaussian pulse, usually generated by mode-locked lasers, is studied in the nonlinear waveguide supporting the propagation of compact bright (CB) pulse-like signals. By means of the collective variables approach, the state equations describing the evolution of the Gaussian pulse parameters are derived. It appears that the system exhibits an equilibrium state in which the pulse width is independent of the amplitude, as is the case for the CB pulse. In this state, the Gaussian pulse propagates without modification of its parameters. However, in the presence of a small kick, namely, induced by a weak linear dispersion, this pulse evolves towards the CB pulse, highlighting the unstable character of this equilibrium state and, more interestingly, the possibility of generation of the CB pulse by means of this waveguide operating in the anomalous dispersion regime. In addition, the newly formed CB pulse can exhibit the breathing mode with the frequency depending on the strength of the linear dispersion. Similarly, the Gaussian pulse is subjected to compression phenomena when its width is much higher compared to the value at the equilibrium state, followed by the emission of a CB pulse of very small amplitude.