论文标题
主动Q开关激光器动力学的随机非线性模型
A stochastic nonlinear model of the dynamics of actively Q-switched lasers
论文作者
论文摘要
在本文中，我们提出了一种新型的随机和空间隆起的多模型模型，用于描述由于自发发射的扩增而导致的主动Q开关激光和随机扰动的非线性动力学。该模型将作为设计（非线性）控制和估计策略的设计基础，因此在其计算效率上设定了高价值。因此，选择一个常见的旅行波模型作为起点，并执行许多模型订购步骤。结果，获得了一组非线性普通微分方程，用于在开关周期中激光的动态行为。这些微分方程的半分析解会在切换周期和输出能后为人群反演提供表达式，然后将其用于制定脉冲到脉冲动力学的非线性离散时间模型。模拟研究包括具有不同水平的复杂性和首先实验结果的模型，证明了该方法的可行性。
In this paper, we present a novel stochastic and spatially lumped multi-mode model to describe the nonlinear dynamics of actively Q-switched lasers and random perturbations due to amplified spontaneous emission. This model will serve as a basis for the design of (nonlinear) control and estimation strategies and thus a high value is set on its computational efficiency. Therefore, a common traveling-wave model is chosen as a starting point and a number of model-order reduction steps are performed. As a result, a set of nonlinear ordinary differential equations for the dynamic behavior of the laser during a switching cycle is obtained. A semi-analytic solution of these differential equations yields expressions for the population inversion after a switching cycle and for the output energy, which are then used to formulate a nonlinear discrete-time model for the pulse-to-pulse dynamics. Simulation studies including models with different levels of complexity and first experimental results demonstrate the feasibility of the proposed approach.
