Drifting cavity solitons and dissipative rogue waves induced by time-delayed feedback in Kerr optical frequency comb and in all fiber cavities

Abstract

Time-delayed feedback plays an important role in the dynamics of spatially extended systems. In this contribution, we consider the generic Lugiato-Lefever model with delay feedback that describes Kerr optical frequency comb in all fiber cavities. We show that the delay feedback strongly impacts the spatiotemporal dynamical behavior resulting from modulational instability by (i) reducing the threshold associated with modulational instability and by (ii) decreasing the critical frequency at the onset of this instability. We show that for moderate input intensities it is possible to generate drifting cavity solitons with an asymmetric radiation emitted from the soliton tails. Finally, we characterize the formation of rogue waves induced by the delay feedback.

Advances in soliton microcomb generation

“…Actually, a lot of unusual phenomena in microcombs have already been predicted or verified in a similar manner to some degree. That is, although different in material platforms and generation mechanisms, classic fiber nonlinearities can still offer a guidance or reference for microcombs, especially regarding unexplored temporal and spectral behaviors (e.g., vector solitons, 106,107 wave-breaking-free pulses, 108,109 optical bullets, 110 or even rouge waves 111,112 ). Meanwhile, they can inspire new fundamental research on intrinsic soliton features that are not yet considered in this area, such as the chirp parameter (or time-bandwidth-product), 113 which is crucial in traditional fiber lasers for dedicated control on pulse shaping qualities 114 and contributes significantly to further system optimization.…”

Rogue waves under influence of Raman delay

“…However, these are not the only type of rogue waves in optics. They can also be found in the output of laser radiation [2][3][4][5][6] and in other types of optical cavities [7][8][9][10]. They can be influenced by Brillouin scattering [11] or by the Raman effect [12].…”

Temporal cavity solitons in a delayed model of a dispersive cavity ring laser

“…Therefore, DDEs provide a more relevant and rigorous tool to study TCS in the physical system considered here than the Ginzburg-Landau type models. In the framework of time delay models, we propose another way to study moving CSs in optical resonators with the help of differential equations involving nonlinear delay terms that complements the existing studies of the effect of feedback loop described by linear delay term in form of Pyragas control [27], which can be applied to the models of broad-area lasers [18,28,31], as well as to nonlinear optical cavities such as fiber resonators or disk microresonators subjected to delayed optical feedback, where a LLE with time delay can be used to study the drift of TCSs [29].…”