We investigate the formation of dark vector dissipative solitons in the presence of nonlinear polarization mode coupling in optical resonators subject to a coherent optical injection in the normal dispersion regime. This simple device is described by coupled Lugiato-Lefever equations. The stabilization of dark dissipative solitons is attributed to a front locking mechanism in the bistable regime as shown in a recent communication [B. Kostet et al., OSA Continuum 4, 1564 (2021)]. Here, we focus on a tristable homogeneous steady state regime. We show that two branches of dark dissipative solitons can coexist for a fixed value of the system parameters. These coexisting solutions possess different polarization states and different peak powers in the microresonator. We characterize their formation by drawing their bifurcation diagrams in regimes far from any modulational instability. It is shown that both branches of localized structures exhibit a heteroclinic collapsed snaking type of behavior. The coexistence of two vectorial branches of dark localized states is not possible without taking into account polarization degrees of freedom.

中文翻译：

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正常色散谐振器中暗矢量孤子克尔梳的共存

我们研究了在光谐振器中存在非线性偏振模式耦合时暗矢量耗散孤子的形成，该谐振器在正常色散状态下受到相干光注入。这个简单的设备由耦合的 Lugiato-Lefever 方程描述。如最近的通讯 [B. 科斯特等人。, OSA 连续体 4, 1564 (2021)]。在这里，我们专注于三稳态均匀稳态机制。我们表明，对于固定的系统参数值，暗耗散孤子的两个分支可以共存。这些共存的解决方案在微谐振器中具有不同的极化状态和不同的峰值功率。我们通过在远离任何调制不稳定性的区域绘制它们的分叉图来表征它们的形成。结果表明，局部结构的两个分支都表现出异斜塌陷的蛇形行为。如果不考虑偏振自由度，则不可能存在两个暗局域化矢量分支的共存。