四圆孔屏衍射与光学涡旋的研究

摘要详细介绍了光学涡旋的研究背景和国内外的研究现状，着重分析了光学涡旋产生的理论依据、光学涡旋的衍射特性和角动量特性，给出了产生光学涡旋的三种常用方法，并且对比分析了它们的优、劣势，文中采用的是四圆孔屏衍射的方法产生光学涡旋。基于光的衍射中的菲涅耳衍射公式，针对四圆孔屏衍射产生的光学涡旋场，采用 matlab 对其进行了数值模拟，从而验证了四圆孔屏产生光学涡旋的可行性，并分析了不同参数对光学涡旋性质的影响。60388
毕业论文关键字：光学涡旋；衍射；圆孔；
Matlab Title Title Title Title T T T T hehehehe Study Study Study Study ofofofof Diffraction Diffraction Diffraction Diffraction ofofofof Four-hole Four-hole Four-hole Four-hole Circular Circular Circular CircularApertures Apertures Apertures Apertures and and and and Optical Optical Optical Optical Vortices Vortices Vortices VorticesAbstract Abstract Abstract AbstractThis thesis not only gives a detailed description of the research background and thepresent foreign and domestic researches of optical vortices, but also lays anemphasis on relevant theoretical bases. Apart from that, the characteristics of opticalvortices ’ diffraction and angular momentum also appear to be an important part ofthis thesis. T he thesis puts forward specially three common ways that can be used togenerate optical vortices and their advantages and disadvantages are fully discussedthrough comparison and analysis. the simulation of Fresnel diffraction of circularapertures with four holes is adopted in this thesis. In base of Fresnel diffractionformula of the diffraction principle of light, we use MATLAB to simulate Fresneldiffraction of circular apertures with four holes, which enjoy proved feasibility ofgenerating optical vortices, achieves success. Last, the thesis analyses differentparameters ’ influence on characteristics of optical vortices.
Keywords Keywords Keywords Keywords : optical vortices; diffraction; circular aperture; M atlab

1 1 1 1 绪论绪论绪论绪论 . 1

1.1 1.1 1.1 1.1 光学涡旋的研究背景光学涡旋的研究背景光学涡旋的研究背景光学涡旋的研究背景 . 1

1.2 1.2 1.2 1.2 光学涡旋的研究现状光学涡旋的研究现状光学涡旋的研究现状光学涡旋的研究现状 . 3

1.3 1.3 1.3 1.3 课题的目的和意义课题的目的和意义课题的目的和意义课题的目的和意义 . 4

1.4 1.4 1.4 1.4 论文的研究内容论文的研究内容论文的研究内容论文的研究内容 . 5

2 2 2 2 光学涡旋光学涡旋光学涡旋光学涡旋 . 6

2.1 2.1 2.1 2.1 光学涡旋的描述光学涡旋的描述光学涡旋的描述光学涡旋的描述 . 6

2.2 2.2 2.2 2.2 光学涡旋的衍射特性光学涡旋的衍射特性光学涡旋的衍射特性光学涡旋的衍射特性 . 9

2.3 2.3 2.3 2.3 光学涡旋的角动量特性光学涡旋的角动量特性光学涡旋的角动量特性光学涡旋的角动量特性 . 11

2.4 2.4 2.4 2.4 光学涡旋的产生方法光学涡旋的产生方法光学涡旋的产生方法光学涡旋的产生方法 . 12

3 3 3 3 光的衍射理论光的衍射理论光的衍射理论光的衍射理论 . 16

3.1 3.1 3.1 3.1 光的标量衍射理论光的标量衍射理论光的标量衍射理论光的标量衍射理论 16

3.2 3.2 3.2 3.2 、菲涅尔衍射、菲涅尔衍射、菲涅尔衍射、菲涅尔衍射 . 18

4 4 4 4 四圆孔屏菲涅尔衍射与光学涡旋四圆孔屏菲涅尔衍射与光学涡旋四圆孔屏菲涅尔衍射与光学涡旋四圆孔屏菲涅尔衍射与光学涡旋 . 21

4.1 4.1 4.1 4.1 四圆孔屏菲涅尔衍射原理四圆孔屏菲涅尔衍射原理四圆孔屏菲涅尔衍射原理四圆孔屏菲涅尔衍射原理 . 21 四圆孔屏衍射与光学涡旋的研究:http://www.751com.cn/wuli/lunwen_65858.html