Li Xin, Yan Zhenya
Key Laboratory of Mathematics Mechanization, Institute of Systems Science, AMSS, Chinese Academy of Sciences, Beijing 100190, China.
Chaos. 2017 Jan;27(1):013105. doi: 10.1063/1.4973413.
We explore the parity-time-( PT)-symmetric optical couplers with the cubic both self- and cross-interactions corresponding to self- and cross-phase modulations. When the coefficient of the cubic cross-interaction is chosen as the different values, we find three distinct cases for two branches, including the stable-stable modes (linear unbroken PT-symmetric phase), stable-unstable modes (linear unbroken PT-symmetric phase), as well as unstable-unstable modes (linear broken PT-symmetric phase). Moreover, we find the periodic trajectories for some parameters. Similarly, we also explore the PT-symmetric optical couplers with cubic-quintic self-phase modulations. We numerically give the stable and unstable regions of the cubic-quintic system. Moreover, we also find the periodic trajectories for some parameters in the Stokes domain.
我们研究了具有对应于自相位调制和交叉相位调制的三次方自相互作用和交叉相互作用的宇称-时间（PT）对称光耦合器。当三次方交叉相互作用系数取不同值时，我们发现两个分支存在三种不同情况，包括稳定-稳定模式（线性未破缺PT对称相）、稳定-不稳定模式（线性未破缺PT对称相）以及不稳定-不稳定模式（线性破缺PT对称相）。此外，我们还发现了某些参数的周期轨迹。类似地，我们还研究了具有三次方-五次方自相位调制的PT对称光耦合器。我们通过数值计算给出了三次方-五次方系统的稳定和不稳定区域。此外，我们还在斯托克斯域中发现了某些参数的周期轨迹。
