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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 complexity, where more sideband pairs become unstable. We elaborate theory for the tongues and threshold of complexity, and report the synchronisation and frequency-domain symmetry breaking effects inside the tongues.
|Journal||Physical Review A|
|Early online date||6 Jan 2021|
|Publication status||Published - 31 Jan 2021|
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- 1 Finished
Marie Curie ITN Fellow 1 - MICROresonator frequency COMBs: Fundamentals and Applications
1/01/19 → 31/12/22
Project: EU Commission