论文标题
通过MEEP FDDD软件中的多级原子介质对激光和可饱和吸收器进行建模：理论和实施
Modeling lasers and saturable absorbers via multilevel atomic media in the Meep FDTD software: Theory and implementation
论文作者
论文摘要
该技术说明描述了对激光器的多级原子介质的物理模型，数值实现以及MEEP中可饱和吸收剂的验证：用于电磁模拟的免费/开源有限差异时间域（FDTD）软件包。在时间域中模拟多层次介质涉及通过Maxwell-bloch方程的概括，电子能级与麦克斯韦方程的耦合率方程。我们使用二阶离散化方案描述了基本方程及其实现，还证明了它们与量子密度 - 矩阵模型的等效性。使用单独的FDTD密度静音模型以及基于稳态AB-Initio激光理论（SALT）的频域求解器（SALT）对MEEP实现进行了验证。
This technical note describes the physical model, numerical implementation, and validation of multilevel atomic media for lasers and saturable absorbers in Meep: a free/open-source finite-difference time-domain (FDTD) software package for electromagnetics simulation. Simulating multilevel media in the time domain involves coupling rate equations for the populations of electronic energy levels with Maxwell's equations via a generalization of the Maxwell--Bloch equations. We describe the underlying equations and their implementation using a second-order discretization scheme, and also demonstrate their equivalence to a quantum density-matrix model. The Meep implementation is validated using a separate FDTD density-matrix model as well as a frequency-domain solver based on steady-state ab-initio laser theory (SALT).
