Threshold of complexity and Arnold tongues in Kerr-ring microresonators

Skryabin, D. V., Fan, Z., Villois, A. and Puzyrev, D. N. (2021) Threshold of complexity and Arnold tongues in Kerr-ring microresonators. Physical Review A, 103 (1). ISSN 2469-9926

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Abstract

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.

Item Type:	Article
Additional Information:	Publisher Copyright: © 2021 American Physical Society.
Uncontrolled Keywords:	atomic and molecular physics, and optics ,/dk/atira/pure/subjectarea/asjc/3100/3107
Faculty \ School:	Faculty of Science > School of Engineering, Mathematics and Physics
Related URLs:	http://www.scopus.com/inward/record.url?...
Depositing User:	LivePure Connector
Date Deposited:	13 Feb 2026 17:30
Last Modified:	15 Feb 2026 07:30
URI:	https://ueaeprints.uea.ac.uk/id/eprint/101938
DOI:	10.1103/PhysRevA.103.L011502

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