Stability, integrability, and nonlinear dynamics of PT-symmetric optical couplers with cubic cross-interactions or cubic-quintic nonlinearities.
Stability, integrability, and nonlinear dynamics of PT-symmetric optical couplers with cubic cross-interactions or cubic-quintic nonlinearities.
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DOI：
10.1063/1.4973413
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发表时间：
2017-01
期刊：
影响因子：
2.9
通讯作者：
Xin Li;Zhenya Yan
中科院分区：
文献类型：
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作者：
Xin Li;Zhenya Yan
本文研究了具有立方自相互作用和立方交叉相互作用的奇偶时间对称光耦合器，它们分别对应于自相位调制和交叉相位调制。当立方交叉作用系数取不同值时，我们发现两个分支有三种不同的情况，包括稳定-稳定模式（线性不间断PT对称相）、稳定-不稳定模式（线性不间断PT对称相）以及不稳定-不稳定模式（线性间断PT对称相）.此外，我们发现一些参数的周期轨迹。同样地，我们也探讨了具有五阶自相位调制的PT对称光耦合器。我们数值地给出了该五次系统的稳定区域和不稳定区域。此外，我们还发现了一些参数在Stokes域中的周期轨迹。
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.