Threshold of complexity and Arnold tongues in Kerr-ring microresonators

  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},
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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