Using the cabaret method numerical realization, long-time spatio-temporal dynamics of the electromagnetic field in a nonlinear ring fibre cavity with dispersion is investigated during the hundreds of round trips. Formation of both the temporal cavity solitons and irregular pulse trains is demonstrated and discussed.
New suitable numerical scheme is proposed for simulation of dynamics of oppositely running pulses in a fiber laser with linear cavity. The proposed model allows to include various temporal and spatial effects which affect the laser dynamics. The pulse evolution in the fiber cavity with perfect reflectors at the fiber ends with accounting of fiber group velocity dispersion and self-phase modulation is demonstrated.
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