具有方向灵敏度的谱奇异性
Spectral Singularities with Directional Sensitivity
摘要：
我们提出了一类光谱奇异性，是敏感的激发方向和所产生的非线性系统破缺宇称对称性。这些光谱奇异性对入射光束的方向很敏感，并导致左（右）入射的透射和反射发散，而系统右（左）侧的透射和反射保持有限。出于教学的原因，首先，我们回顾了散射形式主义在非线性系统中使用一个抽象的δ函数模型。然后利用宇称对称破缺的非线性系统，证明了我们提出的谱奇异性的存在性。然后，我们使用一个实验上可行的现实模型的基础上耦合盘谐振器，我们确定的频谱奇异性与方向灵敏度（SSDS）。我们提出的SSDS可能在设计非线性传感器中有应用。此外，它可以提供一个解决方案，在泵浦激光腔的烧孔问题。
英文摘要：
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.
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
