English

Universal threshold and Arnold tongues in Kerr ring microresonators

Optics 2022-06-24 v3 Pattern Formation and Solitons

Abstract

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 sequence of narrow in frequency and broad in power resonance domains - Arnold tongues. Arnold resonances are located between the Lugiato-Lefever (lower) and universal (higher) thresholds. Pump power estimates corresponding to the universal threshold are elaborated in details. RF-spectra generated within the tongues reveal a transition between the repetition-rate locked and unlocked regimes of the side-band generation.

Cite

@article{arxiv.2006.04274,
  title  = {Universal threshold and Arnold tongues in Kerr ring microresonators},
  author = {D. V. Skryabin and Z. Fan and A. Villois and D. N. Puzyrev},
  journal= {arXiv preprint arXiv:2006.04274},
  year   = {2022}
}

Comments

see instead a more up-to-date submission arXiv:2101.02247

R2 v1 2026-06-23T16:07:53.691Z