论文标题
非线性特殊点激光与Ab-Initio Maxwell-Bloch理论
Nonlinear exceptional-point lasing with ab-initio Maxwell-Bloch theory
论文作者
论文摘要
我们提出了使用稳态AB-Initio Maxwell-Bloch方程来查找和表征阈值高于阈值的非线性特殊点（EP）激光器的一般分析。对于耦合板系统，我们表明，对于每个谐振器中的外部泵之间的给定比例，获得了非线性EP，并且与输出功率和激光频率的扭结相关，从而确认了耦合模式理论预测。通过数值线性稳定性分析，我们确认EP激光器对于足够大的反转松弛率可以稳定。我们进一步表明，EP激光器可以通过将弱信号从激光腔中散射出来，以使散射频率谱显示出四分之一的差异。我们的方法可以应用于具有多层次增益媒体的任意散射器。
We present a general analysis for finding and characterizing nonlinear exceptional point (EP) lasers above threshold, using steady-state ab-initio Maxwell-Bloch equations. For a system of coupled slabs, we show that a nonlinear EP is obtained for a given ratio between the external pumps in each resonator, and that it is associated with a kink in the output power and lasing frequency, confirming coupled-mode theory predictions. Through numerical linear stability analysis, we confirm that the EP laser can be stable for a large enough inversion relaxation rate. We further show that the EP laser can be characterized by scattering a weak signal off the lasing cavity, so that the scattering frequency spectrum exhibits a quartic divergence. Our approach can be applied to arbitrary scatterers with multi-level gain media.
