Threshold of complexity and Arnold tongues in Kerr-ring microresonators

@article{Skryabin2021ThresholdOC,
  title={Threshold of complexity and Arnold tongues in Kerr-ring microresonators},
  author={Dmitry V. Skryabin and Zhiwei Fan and Alberto Villois and Danila N. Puzyrev},
  journal={Physical Review A},
  year={2021}
}
We show that the threshold condition for two pump photons to convert into a pair of the sideband ones in Kerr microresonators with high-quality factors breaks the pump laser parameter space into a sequence of narrow in frequency and broad in power Arnold tongues. Instability tongues become a dominant feature in resonators with the finesse dispersion parameter close to and above one. As pump power is increased, the tongues expand and cross by forming a line of cusps, i.e., the threshold of… 

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References

SHOWING 1-10 OF 67 REFERENCES

Observation of Arnold Tongues in Coupled Soliton Kerr Frequency Combs.

TLDR
A newfound degree of flexibility in synchronizing Kerr combs across a wide range of comb spacings is illustrated and could find applications in time and frequency metrology, spectroscopy, microwave photonics, optical communications, and astronomy.

On the transition to secondary Kerr combs in whispering-gallery mode resonators.

TLDR
It is demonstrated that extended dissipative structures in Kerr-nonlinear whispering-gallery mode resonators undergo a spatiotemporal instability, as the pumping parameters are varied, as well as specific Kerr comb and sub-comb spectra that can be subjected to a phase of frequency-locking when optimal conditions are met.

Hierarchy of coupled mode and envelope models for bi-directional microresonators with Kerr nonlinearity

We consider interaction of counter-propagating waves in a bi-directionally pumped ring microresonator with Kerr nonlinearity. We introduce a hierarchy of the mode expansions and envelope functions

Self-locking of the frequency comb repetition rate in microring resonators with higher order dispersions.

We predict that the free spectral range (FSR) of the soliton combs in microring resonators can self-lock through the back-action of the Cherenkov dispersive radiation on its parent soliton under the

Comparative analysis of spectral coherence in microresonator frequency combs.

TLDR
This work provides a numerical analysis of the coherence dynamics that supports the above experimental findings and verify particular design rules to achieve spectrally coherent microresonator combs.

Formation and evolution of roll patterns in optical parametric oscillators.

TLDR
The solution of zero amplitude for the OPO signal is found to be unstable to periodically modulated perturbations whenever the detuning parameter of the signal field is negative.

Strongly driven nonlinear quantum optics in microring resonators

We present a detailed analysis of strongly driven spontaneous four-wave mixing in a lossy integrated microring resonator side-coupled to a channel waveguide. A nonperturbative, analytic solution

Self-organization in Kerr-cavity-soliton formation in parametric frequency combs

We show that self-organization occurs in the phase dynamics of soliton modelocking in paramet- ric frequency combs. Reduction of the Lugiato-Lefever equation (LLE) to a simpler set of phase equations

Turbulence-Induced Rogue Waves in Kerr Resonators

Spontaneous emergence of self-organized patterns and their bifurcations towards a regime of complex dynamics in non-equilibrium dissipative systems is a paradigm of phase transition. Indeed, the

Spectral Purification of Microwave Signals with Disciplined Dissipative Kerr Solitons.

TLDR
It is demonstrated that by applying either amplitude or phase modulation to the driving laser, an intracavity potential trap is created that gives rise to a novel spectral purification mechanism of the external microwave signal frequency, leading to reduced phase noise of the output signal.
...