Optical Solitons and Frequency Comb Generation - Abstract
Driven primarily by applications from fiber or semiconductor lasers, temporal dissipative solitons (TDS) are gaining attention recently. In the talk, we summarize a corresponding theory for systems with time-delayed feedback. In particular, we derive a system with an advanced argument, which determines the profile of the TDS. We also provide a complete classification of their spectrum into interface and pseudo-continuous parts. We illustrate the theory with two examples: a generic delayed phase oscillator, which is a reduced model for an injected laser with feedback, and the FitzHugh-Nagumo neuron with delayed feedback. Finally, we discuss possible destabilization mechanisms of TDS.