Threshold of complexity and Arnold tongues in Kerr-ring microresonators
Threshold of complexity and Arnold tongues in Kerr-ring microresonators
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DOI：
10.1103/physreva.103.l011502
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发表时间：
2021-01-06
影响因子：
2.9
通讯作者：
Puzyrev, D. N.
中科院分区：
文献类型：
--
作者：
Skryabin, D., V;Fan, Z.;Puzyrev, D. N.
我们证明了在高品质因数的克尔微谐振腔中，两个抽运光子转换成一对边带光子的阈值条件，将抽运激光参数空间分解为一系列频率窄、功率宽的Arnold舌。当谐振腔的精细色散参数接近或大于1时，不稳定舌成为谐振腔的主要特征。随着泵浦功率的增加，舌状物通过形成一排尖点而扩展和交叉，即，复杂性的阈值，更多的边带对变得不稳定。我们阐述了理论的舌头和阈值的复杂性，并报告的同步和频域对称性破缺的舌头内的影响。
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.