位相奇点在光束传输中动态演化的研究

发布时间：2018-10-29 22:19

【摘要】：在光波场中奇点光学已经发展成为现代光学领域一个非常重要的光学分支,并在光通信、光电子学、遥感和原子俘获以及量子信息处理等多方面显示出非常诱人的应用前景。本文分别研究了螺旋位错光束、圆刃型位错光束、圆刃型-螺旋型混合位错光束在自由空间、大气湍流传输中的动态演化规律。主要工作包括以下三部分:基于广义惠更斯-菲涅尔原理,推导出部分相干螺旋位错光束在自由空间和大气湍流传输中的交叉谱密度函数解析表达式,并用以研究了高阶相干涡旋和高阶光涡旋的动态演化和传输轨迹。通过分析拓扑荷取值的不同,对高阶相干涡旋和光涡旋的空间演化特性进行了研究,研究表明:光场的部分相干性和大气湍流的扰动都会诱导高阶相干涡旋发生分裂,此外,高阶光涡旋在自由空间传输中,高阶光涡旋不会发生分裂,随传输距离的增加,光涡旋的位置坐标没有发生变化。推导出了圆刃型位错光束在自由空间和大气湍流传输中的交叉谱密度函数解析表达式,研究了大气湍流强度对圆刃型位错空间演化的影响。研究指出n个圆刃型位错在自由空间传输中,一直保持n个圆刃型位错。在大气湍流传输中,n个圆刃型位错演化成n对拓扑荷相反的光涡旋,每对光涡旋的位置坐标关于y=x轴对称,随着传输距离的增加,每对光涡旋之间的距离先增大,后减小,直至每对光涡旋湮灭。另外,大气湍流强度越大,每对光涡旋湮灭的越早。推导出了圆刃型-螺旋型混合位错光束在自由空间和大气湍流传输中的交叉谱密度函数解析表达式,研究了圆刃型-螺旋型混合位错在空间中的动态演化,并和螺旋位错、圆刃型位错在空间中的演化情况进行了比较。研究发现:圆刃型-螺旋型混合位错在自由空间传输中,随着传输距离的增加,光涡旋和圆刃型位错一直存在。在大气湍流传输中,随着传输距离的增加,拓扑荷为+m光涡旋错演化为m个拓扑荷为+1的光涡旋,每个圆刃型位错会演化为1对光涡旋,其拓扑荷相反。当传输距离足够远,圆刃型位错演化为的1对光涡旋发生湮灭。此外,圆刃型-螺旋型混合位错中的圆刃型位错和光涡旋在空间中的演化特性和其独自在空间中的演化特性相似。
[Abstract]:Singularity optics has developed into a very important optical branch in the field of modern optics, and has shown attractive applications in optical communication, optoelectronics, remote sensing, atomic capture and quantum information processing. In this paper, the dynamic evolution of helical dislocation beam, circular edge and helical mixed dislocation beam in free space and atmospheric turbulence propagation are studied respectively. The main work includes the following three parts: based on the generalized Huygens-Fresnel principle, the analytical expression of the cross-spectral density function of partially coherent helical dislocation beams in free space and atmospheric turbulence is derived. The dynamic evolution and propagation trajectory of high order coherent vortex and high order optical vortex are studied. The spatial evolution characteristics of high order coherent vortex and optical vortex are studied by analyzing the difference of topological charge. The results show that both the partial coherence of light field and the disturbance of atmospheric turbulence can induce the splitting of high order coherent vortex. In the free space propagation of high order optical vortex, the high order optical vortex does not split, and the position coordinates of the optical vortex do not change with the increase of transmission distance. The analytical expression of cross spectral density function of circular edge dislocation beam in free space and atmospheric turbulence propagation is derived. The influence of atmospheric turbulence intensity on the evolution of circular edge dislocation space is studied. It is pointed out that n circular edge dislocations keep n circular edge dislocations in free space transmission. In atmospheric turbulent transport, n circular edge dislocations evolve into light vortices with opposite topological loads. The coordinates of each pair of optical vortices are symmetric in respect of YX axis. With the increase of transmission distance, the distance between each pair of optical vortices increases first and then decreases. Until each pair of light vortices annihilates. In addition, the greater the intensity of atmospheric turbulence, the earlier each vortex annihilates. The analytical expression of cross spectral density function of circular edge and helical mixed dislocation beams in free space and atmospheric turbulence propagation is derived. The dynamic evolution of circular edge and helical mixed dislocation in space is studied, and the spiral dislocation is also studied. The evolution of circular edge dislocations in space is compared. It is found that the optical vortex and circular edge dislocation always exist in the free space transmission with the increase of transmission distance. In atmospheric turbulence propagation, with the increase of transmission distance, the topological charge of m optical vortex fault evolves into m light vortex with topological charge of 1, and each circular edge dislocation evolves into 1 pair of optical vortex, and its topology is opposite. When the transmission distance is long enough, the circular edge dislocation evolves into the annihilation of the optical vortex. In addition, the evolution characteristics of circular edge dislocation and optical vortex in space are similar to those in space.
【学位授予单位】：太原科技大学
【学位级别】：硕士
【学位授予年份】：2017
【分类号】：O43

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