Determination of dissipative soliton zones of generation in fiber lasers depending on the cavity dispersion and modulation depth of the saturable absorber

The zones of stable pulsed generation of dissipative solitons in fiber lasers are determined depending on of the magnitude of the second-order dispersion of the resonator and the modulation depth of the saturable absorber. It was established that convergent solutions and stable pulse generation depend on the modulation depth of the saturable absorber in fiber laser cavities with normal dispersion. The dependence of the absorption coefficient of a saturable absorber on the pulse duration and radiation energy density taken into account made it possible to find the regions of divergent solutions where pulse generation is absent due to a decrease in the modulation depth of the saturable absorber with a significant dispersion broadening of the pulse in the resonator.