Dynamics of dispersive wave and regimes of different kinds of sidebands generation in mode-locked soliton fiber lasers

We give a thoroughly theoretical and numerical investigation of sidebands generation in mode-locked soliton fiber lasers for the first time. A simple and reliable numerical method is proposed to separate the dispersive wave and soliton in the ultrashort pulse of a mode-locked fiber laser. We find that the dip-type sidebands generation can be regarded as a locally destructive interference between the resonance-enhanced dispersive waves and solitons, which can also be explained by the parametric process in the fiber laser. The dip-type sidebands are also Kelly sidebands according to their formation. Simulations confirm the rationality of our proposed explanation and method. Our work gives an insight into the dynamics of soliton mode-locked fiber lasers.