Abstract
Temporal dissipative solitons in laser cavities are essentially resulted from the double balance between the cavity dispersion and the nonlinearity, and between the cavity loss and the gain from an external pumping source [1]. In particular, such high-peak-intensity (i.e. pulsed) field-patterns would cause a nonlinear frequency shift of the cavity resonance, and the existence of solitons is fundamentally off-resonance, such that the laser-cavity detuning is compensated by the nonlinear shift. This off-resonance nature of dissipative solitons has been widely observed in Kerr-nonlinear microresonators, where the detuning is coherently controlled with a localized CW pump [2]. However, as a major category of soliton mode-locked lasers, the system is usually decoherently driven, leading to an unknown laser-cavity detuning underlying the dissipative soliton.
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