# 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…

## 15 Citations

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

- PhysicsOptics express
- 2020

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.

- PhysicsOptics letters
- 2019

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…

### Polarization dynamics of a vector cavity soliton in a birefringent fiber resonator

- Physics
- 2020

We investigate theoretically the polarization dynamics of vector cavity solitons in a birefringent fiber resonator exhibiting net anomalous dispersion. The well-known Lugiato-Lefever equation is…

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

- PhysicsPhysical Review A
- 2021

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…

### Spectral extension and synchronization of microcombs in a single microresonator

- PhysicsNature communications
- 2020

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

- PhysicsPhysical Review X
- 2019

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

- PhysicsIEEE Photonics Journal
- 2019

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…

### Interplay of Polarization and Time-Reversal Symmetry Breaking in Synchronously Pumped Ring Resonators.

- PhysicsPhysical review letters
- 2019

This work studies for the first time the interplay of two types of spontaneous symmetry breaking that can occur simultaneously in optical ring resonators and contributes to a better understanding of the nonlinear dynamics of optical ring cavities.

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

- PhysicsJournal of Lightwave Technology
- 2021

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

- PhysicsJournal of Electromagnetic Waves and Applications
- 2022

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

- Physics
- 2017

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…

### Polarization multistability and instability in a nonlinear dispersive ring cavity

- Physics
- 1994

We study the role of polarization in modulational instabilities in a synchronously pumped ring resonator that is filled with an isotropic nonlinear dispersive medium. To describe nonlinear…

### Kerr frequency comb generation in overmoded resonators.

- PhysicsOptics express
- 2012

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

- Physics
- 2017

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

- Physics
- 2015

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…

### Nonlinear mode coupling in whispering-gallery-mode resonators

- Physics
- 2016

We present a first principle derivation of the coupled nonlinear Schr\"{o}dinger equations that govern the interaction between two families of modes with different transverse profiles in a generic…

### Dynamics of the modulational instability in microresonator frequency combs

- Physics2013 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

- Physics
- 2014

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.

- PhysicsOptics letters
- 2017

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.