Observation of Arnold Tongues in Coupled Soliton Kerr Frequency Combs.

@article{Jang2019ObservationOA,
  title={Observation of Arnold Tongues in Coupled Soliton Kerr Frequency Combs.},
  author={Jae K Jang and Xingchen Ji and Chaitanya Joshi and Yoshitomo Okawachi and Michal Lipson and Alexander L. Gaeta},
  journal={Physical review letters},
  year={2019},
  volume={123 15},
  pages={
          153901
        }
}
We demonstrate various regimes of synchronization in systems of two coupled cavity soliton-based Kerr frequency combs. We show subharmonic, harmonic, and harmonic-ratio synchronization of coupled microresonators, and reveal their dynamics in the form of Arnold tongues, structures that are ubiquitous in nonlinear dynamical systems. Our experimental results are well corroborated by numerical simulations based on coupled Lugiato-Lefever equations. This Letter illustrates the newfound degree of… 

Figures from this paper

Synchronization of the internal dynamics of optical soliton molecules

: Optical soliton molecules in ultrafast lasers present striking analogies with their matter molecule counterparts, such as internal vibrations. However, the vibrations of soliton molecules are

Threshold of complexity and Arnold tongues in Kerr-ring microresonators

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

Photonic frequency microcombs based on dissipative Kerr and quadratic cavity solitons

Harmonic and rational harmonic driving of microresonator soliton frequency combs

With demonstrated applications ranging from metrology to telecommunications, soliton microresonator frequency combs have emerged over the past decade as a remarkable new technology. However, standard

Efficient Kerr soliton comb generation in micro-resonator with interferometric back-coupling

Nonlinear Kerr micro-resonators have enabled fundamental breakthroughs in the understanding of dissipative solitons, as well as in their application to optical frequency comb generation. However, the

J un 2 02 0 Universal threshold and Arnold tongues in Kerr ring microresonators

We report that an instability boundary of a single-mode state in Kerr ring microresonators with ultrahigh quality factors breaks the parameter space span by the pump laser power and frequency into a

Optomechanical Synchronization across Multi-Octaves Frequency Spans

Experimental exploration of synchronization in scalable oscillator micro systems has unfolded a deeper understanding of networks, collective phenomena, and signal processing. Cavity optomechanical

On-Chip Synchronization of Kerr Frequency Combs

We demonstrate synchronization of two coupled soliton Kerr frequency combs on a single silicon nitride chip. We observe frequency-locking between the two solitons over a large range of comb spacing

Optomechanical synchronization across multi-octave frequency spans

This work experimentally demonstrate entrainment of a silicon-nitride optomechanical oscillator driven up to the fourth harmonic of its 32 MHz fundamental frequency, and experimentally demonstrates a purely optomekanical RF frequency divider.

Finesse and four-wave mixing in microresonators

We elaborate a comprehensive theory of the sharp variations of the four-wave-mixing (FWM) threshold happening with the tuning of the pump frequency along the dispersive tails of the nonlinear

References

SHOWING 1-10 OF 59 REFERENCES

Novel interactions of dissipative kerr solitons in nonlinear cavity networks

  • J. MunnsI. WalmsleyY. H. Wen
  • Physics
    2017 Conference on Lasers and Electro-Optics Europe & European Quantum Electronics Conference (CLEO/Europe-EQEC)
  • 2017
Kerr micro-resonator frequency combs exhibit a variety of nonlinear phenomena, most prominently the formation of dissipative Kerr solitons (DKSs). These solitons are critical for applications in

Experimental observation of coherent cavity soliton frequency combs in silica microspheres.

It is demonstrated that careful alignment of the microsphere relative to the coupling fiber taper allows for the suppression of higher-order spatial modes, reducing mode interactions and enabling soliton formation.

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

Counter-propagating solitons in microresonators

Solitons occur in many physical systems when a nonlinearity compensates wave dispersion. Their recent formation in microresonators opens a new research direction for nonlinear optical physics and

Modelocking and femtosecond pulse generation in chip-based frequency combs.

The calculations show that pulse generation in this system is consistent with soliton modelocking, and such parametric devices offer the potential of producing ultra-short laser pulses from the visible to mid-infrared regime at repetition rates from GHz to THz.

Phase steps and resonator detuning measurements in microresonator frequency combs.

A way of measuring resonator dispersion and detuning of comb modes in a hot resonator while generating an optical frequency comb is introduced and unpredicted comb states with discrete π and π/2 steps in the comb phases that are not observed in conventional optical frequency combs are presented.

Temporal solitons in optical microresonators

Temporal dissipative solitons are observed in a nonlinear, high-finesse, optical microresonator driven by a continuous-wave laser. This approach enables ultrashort pulses to be generated in spectral

Counter-rotating cavity solitons in a silicon nitride microresonator.

A dual three-soliton state with a difference in the repetition rates of the soliton trains that can be tuned by varying the ratio of pump powers in the two directions is demonstrated.

Synchronization of coupled optical microresonators

The phenomenon of synchronization occurs universally across the natural sciences and provides critical insight into the behaviour of coupled nonlinear dynamical systems. It also offers a powerful

Microresonator-Based Optical Frequency Combs

A new optical frequency comb generation principle has emerged that uses parametric frequency conversion in high resonance quality factor (Q) microresonators, permitting an increased number of comb applications, such as in astronomy, microwave photonics, or telecommunications.
...