Engineering Applications of Berry's Geometric Phase Information

本研究计划的目的是利用Berry的几何相位信息的工程应用。一种新型的偏振干涉显微镜的发展，可以可视化局部表面倾斜的微观物体作为一个几何相位图像称为光子自旋重定向相位图像。主要成果概括如下：1.光子自旋重定向相位的实验检测利用圆偏振光通过非平面光路的干涉方法检测光子自旋重定向相位，并从实验上阐明了其与光束传输方向变化历史的关系. Berry相位计算的有效算法及其计算机程序的开发研究了一种有效的算法和计算机程序，用于统一分析和计算光束在复杂光学系统中传输时的自旋重定向和潘查拉特南相位. Berry相位和动力学相位分离技术的建立发展了一种新的差分偏振干涉技术，通过消除动力学相位，可以选择性地检测Berry相位. Berry相位干涉显微镜的构建和实验验证搭建了一套实验系统，并通过对硅片上三维微结构表面局部倾斜引入的Berry相位进行可视化，验证了所提出技术的有效性。

The purpose of this research project is to exploit Berry's geometric phase information for engineering applications. A novel polarization interference microscope was developed that can visualize local surface inclinations of a microscopic object as a geometric phase image called a photon spin-redirection phase image. The main accomplishments are summarized in the following :1. Experimental Detection of Photon Spin-redirection PhasePhoton spin-redirection phase was detected by interferometry using circularly polarized light passing through non-planar optical paths, and its relation to the history of the beam propagation direction changes was experimentally clarified.2. Development of Efficient Algorithm and Its Computer Code for Evaluation of Berry's PhaseAn efficient algorithm and computer code were developed for unified analysis and evaluation of spin-redirection and Pancharatnam phases for a beam propagating in a complex optical system.3. Establishment of Technique for Separation of Berry Phase from Dynamical PhaseA new technique of differential polarization interferometry was developed that enables selective detection of Berry phase by eliminating dynamical phase.4. Construction and Experimental Demonstration of Berry Phase Interference MicroscopeAn experimental system was constructed and the validity of the proposed technique was demonstrated by visualizing Berry phase introduced by local surface inclinations of 3-D micro structures on a Si wafer.