Modulational instability of nonlinear polarization mode coupling in microresonators

@article{Hansson2018ModulationalIO,
  title={Modulational instability of nonlinear polarization mode coupling in microresonators},
  author={Tobias Hansson and Martino Bernard and Stefan Wabnitz},
  journal={Journal of The Optical Society of America B-optical Physics},
  year={2018},
  volume={35},
  pages={835-841}
}
We investigate frequency comb generation in the presence of polarization effects induced by nonlinear mode coupling in microresonator devices. A set of coupled temporal Lugiato–Lefever equations are derived to model the propagation dynamics, and an in-depth study is made of the modulational instability of their multistable homogeneous steady-state solutions. It is shown that new kinds of instabilities can occur for co-propagating fields that interact through nonlinear cross-phase modulation… 

Figures from this paper

Generation and properties of dissipative Kerr solitons and platicons in optical microresonators with backscattering.

It is shown that while the impact of the nonlinear coupling on the generation of the bright solitons is rather weak, it is significantly more pronounced for the platicon excitation process.

Orthogonally polarized frequency comb generation from a Kerr comb via cross-phase modulation.

We experimentally demonstrate that a single microresonator can emit two orthogonally polarized individually coherent combs: (i) a strong polarized soliton comb and (ii) an orthogonally polarized

Generation of vector flat-top solitons and hybrid bright–flat-top soliton complexes in optical microresonators via modulated pump

We demonstrate numerically the possibility of generation of vector platicons having orthogonally polarized components by the modulated pump at normal GVD. Dynamics of this process can be controlled

Vectorial dark dissipative solitons in Kerr resonators

We report the existence of vectorial dark dissipative solitons in optical cavities subject to a coherently injected beam. We assume that the resonator is operating in a normal dispersion regime far

Spectral extension and synchronization of microcombs in a single microresonator

The demonstrated technique provides an alternative way to generate broadband microcombs and enables the selective enhancement of optical power in specific parts of a comb spectrum.

Real-Time Characterization of Period-Doubling Dynamics in Uniform and Dispersion Oscillating Fiber Ring Cavities

Modulational instability in passive optical resonators, the triggering mechanism of frequency comb and pulse train generation, is shown to exhibit transitions between regimes involving period-one

Theoretical Study on Dual-Comb Generation and Soliton Trapping in a Single Microresonator with Orthogonally Polarized Dual Pumping

Microresonator-based optical frequency combs (known as microcombs or Kerr combs) have a large repetition frequency ranging typically from 10 to 1000 GHz, which is compatible with fast-scanning

Numerical Investigation of All-Optical Manipulation for Polarization-Multiplexed Cavity Solitons

Temporal cavity solitons (CSs) are pulses that can maintain their shape and circulate indefinitely in a resonant cavity under coherent driving. The approach for writing, erasing, and moving of CSs

Coupling coefficient of two rotated cylindrical dielectric resonators disposed in free space

The coupled-mode theory is an established and important tool in the electromagnetic theory which describes the exchange of energy between modes of a given system. In the framework of this theory, the

References

SHOWING 1-10 OF 27 REFERENCES

Coupled Lugiato-Lefever equation for nonlinear frequency comb generation at an avoided crossing of a microresonator

Guided-mode coupling in a microresonator generally manifests itself through avoided crossings of the corresponding resonances. This coupling can strongly modify the resonator local effective

Kerr frequency comb generation in overmoded resonators.

We show that scattering-based interaction among nearly degenerate optical modes is the key factor in low threshold generation of Kerr frequency combs in nonlinear optical resonators with small group

Nonlinear frequency combs generated by cnoidal waves in microring resonators

Cnoidal waves are the periodic analog of solitons. Like solitons, they can be generated in microresonators and correspond to frequency combs. The generation of frequency combs in nonlinear

Frequency comb generation beyond the Lugiato–Lefever equation: multi-stability and super cavity solitons

The generation of optical frequency combs in microresonators is considered without resorting to the mean-field approximation. New dynamical regimes are found to appear for high intracavity power that

Dynamics of the modulational instability in microresonator frequency combs

  • T. HanssonD. ModottoS. Wabnitz
  • Physics
    2013 Conference on Lasers & Electro-Optics Europe & International Quantum Electronics Conference CLEO EUROPE/IQEC
  • 2013
The generation of optical Kerr frequency combs by microresonators has attracted much interest in the last few years [1]. The equidistant and highly resolved spectral lines of these combs are expected

Investigation of mode coupling in normal-dispersion silicon nitride microresonators for Kerr frequency comb generation

Kerr frequency combs generated from microresonators are the subject of intense study for potential applications ranging from short pulse generation to frequency metrology to radiofrequency signal

Coexistence of cavity solitons with different polarization states and different power peaks in all-fiber resonators.

It is shown that, for a wide range of parameters, there is a coexistence between a homogeneous steady state and two different types of temporal vector cavity solitons, which can be hosted in the same system.

Azimuthal Turing Patterns, Bright and Dark Cavity Solitons in Kerr Combs Generated With Whispering-Gallery-Mode Resonators

We investigate the formation of cavity solitons in crystalline whispering-gallery-mode disk resonators that are pumped in different dispersion regimes. In the Fourier domain, these dissipative

Optical hyperparametric oscillations in a whispering-gallery-mode resonator: Threshold and phase diffusion

We present a theoretical analysis of optical parametric oscillations through four-wave mixing in a nonlinear high-Q whispering-gallery-mode resonator. It is shown that even a small flux of pump