论文标题
在被动模式锁定的集成外部腔表面发射激光器中的分散型不稳定性
Dispersive instabilities in Passively Mode-Locked Integrated External-Cavity Surface-Emitting Lasers
论文作者
论文摘要
我们使用基于延迟代数方程的第一原则动力学模型分析了被动模式锁定的集成外部发射激光器（混合物）的动力学。我们表明，由激光微型腔造成的三阶分散体在脉冲的前缘引起了一系列腐烂的卫星。由于与载体的非线性相互作用，这些卫星可能会放大，从而破坏模式锁定状态。在长的空腔状态中，发现存在于激光阈值以下的局部结构受到这种不稳定性的影响。由于它源自鞍形节点无限时期类型的全球分叉，因此我们解释了为什么脉冲表现出令人兴奋的系统的特征。使用多个时间尺度和功能映射方法，我们严格地得出了混合框的主方程，其中三阶分散是必不可少的成分。我们比较了这两个模型的分叉图，并评估其良好同意。
We analyze the dynamics of passively mode-locked integrated external-cavity surface-emitting Lasers (MIXSELs) using a first-principle dynamical model based upon delay algebraic equations. We show that the third order dispersion stemming from the lasing micro-cavity induces a train of decaying satellites on the leading edge of the pulse. Due to the nonlinear interaction with carriers, these satellites may get amplified thereby destabilizing the mode-locked states. In the long cavity regime, the localized structures that exist below the lasing threshold are found to be deeply affected by this instability. As it originates from a global bifurcation of the saddle-node infinite period type, we explain why the pulses exhibit behaviors characteristic of excitable systems. Using the multiple time-scale and the functional mapping methods, we derive rigorously a master equation for MIXSELs in which third order dispersion is an essential ingredient. We compare the bifurcation diagram of both models and assess their good agreement.
