部分相干涡旋光束的奇点演化及散射特性研究

项目名称： 部分相干涡旋光束的奇点演化及散射特性研究

项目编号： No.11474143

项目类型： 面上项目

立项/批准年度： 2015

项目学科： 数理科学和化学

项目作者： 张永涛

作者单位： 洛阳师范学院

项目金额： 70万元

中文摘要： 奇点光学作为现代光学的一个新分支，由于其丰富的物理性质和效应以及极具潜力的应用前景，正不断展现其生命力和重要性。光散射统计特性的研究始终是备受关注的一个基础性学术研究课题。本项目开展部分相干涡旋光束的奇点演化及散射特性研究。将部分相干涡旋光束相干奇点的研究由标量场推广到矢量场，研究矢量部分相干涡旋光束的奇点演化行为。将部分相干涡旋光束相干奇点的研究由主要局限于高斯谢尔模型涡旋光束推广到特殊关联涡旋光束，研究特殊关联涡旋光束的奇点演化行为，揭示相干奇点与位相奇点关系更深刻的物理内涵。建立部分相干涡旋光束经介质散射的数学物理模型，研究经介质散射部分相干涡旋光束的统计特性，分析散射场的相干奇点。本课题将丰富部分相干涡旋光束理论，深化对其传输特性的理解；拓展相干奇点的研究范畴，发现其奇点演化新特性；发展光散射统计特性的研究，促进光散射现象的新应用。

中文关键词： 部分相干涡旋光束；相干奇点；散射；统计特性

英文摘要： As a new branch of modern optics, singular optics is continually showing its vitality and importance due to its abundant physical properties and effects and potential applications. The research of statistical properties of light scattering is a always a fundamental subject with much concern. In this project, the evolution behavior of singularities and scattering properties of partially coherent vortex beams are investigated. The research of correlation singularities of partially coherent vortex beams is extended from scalar fields to vector fields. The evolution behavior of singularities of vector partially coherent vortex beams is studied. The research of correlation singularities of partially coherent vortex beams is extended from Gaussian Schell-model vortex beams to vortex beams with special degree of coherence. The evolution behavior of singularities of vortex beams with special degree of coherence is studied. The physical nature of the relationship between correlation singularities and phase singularities is revealed. The mathematical physics model of partially coherent vortex beams scattered by media is founded. The statistical properties of partially coherent vortex beams scattered by media is studied, and correlation singularities of the scattered fields are analyzed. This project will be useful for enriching the theory of partially coherent vortex beams and understanding the propagation properties of the beams, and for extending the realm of correlation singularities and finding new evolution behavior of singularities, as well as for developing the study of statistical properties of light scattering and accelerating its new applications.

英文关键词： partially coherent vortex beam;correlation singularity;scattering;statistical property