论文标题
具有方向灵敏度的光谱奇异性
Spectral Singularities with Directional Sensitivity
论文作者
论文摘要
我们提出了一类光谱奇异性，它们对激发方向敏感，并在平均对称性破裂的非线性系统中产生。这些频谱奇异性对入射光束的方向敏感，并导致左侧（右）入射的变速箱和反射不同，而系统的右侧（左）反射仍然有限。出于教学原因，首先，我们使用抽象的三角功能模型回顾非线性系统中的散射形式。然后，使用平均对称性损坏的非线性系统由两个三角洲函数组成，一种线性和另一种非线性，我们显示了我们提出的光谱奇点的存在。然后，我们使用基于耦合磁盘谐振器的实验可行的现实模型，并以方向灵敏度（SSD）确定光谱奇异性。我们提出的SSD可能在设计非线性传感器时具有应用。此外，它可以为泵送激光腔中的孔燃烧问题提供解决方案。
We propose a class of spectral singularities that are sensitive to the direction of excitation and are arising in nonlinear systems with broken parity symmetry. These spectral singularities are sensitive to the direction of the incident beam and result in diverging transmission and reflection for the left (right) incident while the transmission and reflection of the right (left) side of the system remain finite. For pedagogical reason first, we review the scattering formalism in nonlinear systems using an abstract delta-function model. Then using a parity symmetry broken nonlinear system consists of two delta functions, one linear and the other nonlinear, we show the existence of our proposed spectral singularities. Then, we use an experimentally feasible realistic model based on coupled disk resonators and we identify the spectral singularity with directional sensitivity (SSDS). Our proposed SSDS might have applications in designing nonlinear sensors. Furthermore, it can provide a solution for the hole burning problem in pumped laser cavities.
