论文标题
建模主动光网络
Modeling active optical networks
论文作者
论文摘要
最近引入的复杂的主动光网（LANER）将激光系统的概念概括为链接的集合，建立了带有随机激光物理学和量子形状图理论的桥梁。到目前为止，已经通过线性方法对灯笼进行了研究。在这里，我们在描述现实的实验设备的角度开发了非线性形式主义。通过合适的速率方程式处理了沿活动链接的传播，该方程需要包含辅助变量：种群反转。总的来说，所得的数学模型可以看作是抽象网络，其节点与物理链路中的（有向）字段相对应。动态方程与标准网络模型不同，因为它们是差分延迟（对于活动链接）和代数方程（用于被动链接）的混合物。对具有单个活动介质的通用设置的固定状态进行了详尽的讨论，这表明被动组件的作用可以组合到单个传输函数中，该函数考虑到相应的共振。
The recently introduced complex active optical network (LANER) generalizes the concept of laser system to a collection of links, building a bridge with random-laser physics and quantum-graphs theory. So far, LANERs have been studied with a linear approach. Here, we develop a nonlinear formalism in the perspective of describing realistic experimental devices. The propagation along active links is treated via suitable rate equations, which require the inclusion of an auxiliary variable: the population inversion. Altogether, the resulting mathematical model can be viewed as an abstract network, its nodes corresponding to the (directed) fields in the physical links. The dynamical equations differ from standard network models in that, they are a mixture of differential delay (for the active links) and algebraic equations (for the passive links). The stationary states of a generic setup with a single active medium are thoroughly discussed, showing that the role of the passive components can be combined into a single transfer function that takes into account the corresponding resonances.
