Waves, Solitons and Turbulence in Optical Systems - Abstract
Parra-Rivas, Pedro
In this work we present a general analysis of the regions of existence and stability of dark solitons in the Lugiato-Lefever model with normal dispersion. In this regime the localized states are organized in a bifurcation structure known as collapsing snaking. After characterizing the unfolding of that structure, we determine the regions of multistability of solitons in parameter space. We show that for some sets of parameters several dynamical instabilities, responsible for the appearing of oscillations and temporal chaos, can occur. Finally we emphasize the importance of the previous results in the understanding of frequency comb generation in microresonators.