基于例外点的光学筛选以及光学牵引力的理论与应用研究

奇异点是非厄密系统中的奇点。在该点，两个或多个特征值及对应的特征向量发生简并，出现了很多新奇的物理现象。在光学系统中，由于存在大量的非保守过程，奇异点已经被实验观察并有效利用。若将奇异点与光学操控相结合，可能会产生更加新奇的光学现象，但相应的研究至今鲜有报道。本项目将致力于在光学操控理论中融入奇异点，基于传输矩阵、多重散射等理论工具，并结合数值模拟，研究以下内容：基于奇异点附近，对于足够小的扰动，本征频率分裂会极大增强的特性，设计出高灵敏的光学筛选系统，实现对具有细微差别粒子的精确筛选；同时，结合传统的光学操控理论与奇异点的物理特性，设计出可实现光学牵引力的光学系统，探究奇异点与实现光学牵引力关系，并解析的分析其背后的物理机制。本项目通过融合奇异点与光学操控两个不同的领域,以期实现具有新效应的光学操控，是当前奇异点与光学操控的前沿问题，为奇异点与光学操控的实际应用提供了重要的参考价值。

Exceptional points are spectral singularities in the parameter space of a non-Hermitian system. At this point, two or more eigenvalues and eigenvectors coalesce and become degenerate, resulting in many novel physical properties. Owing to the abundance of nonconservative processes, in optical system, exceptional points have been experimentally observed and utilized. Combination of exceptional points with optical manipulation, such as optical sorting, optical pulling, may yield novel optical phenomenon. However, corresponding researches have rarely been reported. Based on substantial theoretical methods such as transfer matrix method and multiple scattering theory, and numerical simulation, this research shall incorporate exception points into optical manipulation, and the specific research contents include: Utilizing the characteristic that the splitting of the eigenfrequency around the exceptional points will be greatly enhanced for a sufficient small perturbation, to design ultra-sensitive optical sorting system, achieving precise sorting of nuanced particles; combining traditional optical binding theory with exceptional points, to design optical system that can achieve optical pulling force, and explore the intrinsic physics of the difficulty in realizing optical pulling. This research combines exceptional points with optical manipulation, aiming to realize optical manipulation with new effects. The research contents are not only the frontier problems in optical manipulation and exceptional points, but also provide important reference values for the application of optical manipulation and exceptional points.