Chaos, Solitons & Fractals ( IF 5.3 ) Pub Date : 2022-08-17 , DOI: 10.1016/j.chaos.2022.112532 Krassimir Panajotov , Mustapha Tlidi , Yufeng Song , Han Zhang
We consider coupled weakly birefringent cavities filled-in with nonlinear Kerr material and subject to linearly polarized optical injection. Light propagation in such a system is described by a system of discrete Lugiato–Lefever-type equations for each linear polarization component of the electric field into each cavity, coupled by the cross-phase modulation terms and the neighboring waveguides field overlap integrals. We demonstrate that this system supports stable three-dimensional vector localized structures often called discrete vector light bullets. We consider both anomalous and normal dispersion and show that it results in the generation of, respectively, bright and dark discrete vector light bullets. Due to the polarization multistability of the system, we demonstrated coexisting light bullets with polarization at the light bullets peaks as different as predominantly linear to predominantly circular. We have shown that chaotic spatio-temporal dynamics can be realized even for such an injection strengths for which the light bullets distribution in the system is stationary by increasing the coupling strength between the cavities.
中文翻译:
耦合 χ3 非线性腔中的离散矢量光弹
我们考虑用非线性克尔材料填充并受到线性偏振光注入的耦合弱双折射腔。这种系统中的光传播由每个线性偏振的离散 Lugiato-Lefever 型方程系统描述进入每个腔的电场分量,由交叉相位调制项和相邻波导场重叠积分耦合。我们证明该系统支持稳定的三维矢量局部结构,通常称为离散矢量光弹。我们考虑了异常色散和正常色散,并表明它会分别产生明亮和黑暗的离散矢量光弹。由于系统的偏振多稳定性,我们展示了共存的轻型子弹,在轻型子弹峰处具有偏振,主要是线性的,主要是圆形的。我们已经证明,即使对于这样的注射强度,通过增加耦合强度,系统中的轻弹分布是静止的,也可以实现混沌时空动力学腔体之间。