高阶全邦加球光场的焦场特性研究

论文总字数：25090字

摘 要

本文旨在研究高阶全邦加球光场焦场特性，因为近年来光的偏振正是光学的一大研究热点，其研究成果迅速的转化为各种实际应用，例如光钎通信，显微镜，测量仪等。而邦加球正是直观简洁表示光学偏振态的表示法，而高阶全邦加球表示法更是在传统邦加球表示法的基础上更进一步，可以更好的表示出非均匀偏振光的偏振态。所以我先从高数值孔径下柱对称矢量光束的研究开始，以柱对称矢量光场为例，研究在高数值孔径透镜聚焦下的焦场的推导以及计算方法，以此建立MATLAB模型，画出径向和角向偏振光的焦场分布，分析其特性。然后，在此基础上，通过径向和角向分量的叠加，计算高阶的全邦加球光场的聚焦场表达式，因此，我们可以根据径向和角向偏振光的聚焦场表达式来推算全邦加球光场的聚焦场。然而，在计算的过程中，径向分量和角向分量彼此之前的相对振幅和相对位相如何分配，决定了最终的聚焦场的分布。然后再用matlab建立模型，并不断改动参数，画出其焦场分布，分析对其照成的影响，找出其特性，并简单探讨一下其实际应用。

关键字：高数值孔径，柱对称矢量光束，高阶全邦加球，焦场分布特性

Research focal field characteristics order all Poincare Sphere Light Field

Abstract

This paper aims to study high-end all-Poincare Sphere focal field characteristics of light field, because it is an optical polarization of a major research focus in the light of the results of their research quickly into practical applications, such as fiber-optic communications, microscopes, measuring instrument Wait. The Poincare Sphere is the simple and intuitive representation of the optical polarization state representation, and order all Poincare Sphere representation is based on the traditional representation of the Poincare sphere further, you can better showing non-uniform polarized polarization state. So I start with a high numerical aperture under study cylindrically symmetric vector beams began to light column symmetrical vector fields, for example, and the calculation of derived focal field research at a high numerical aperture focusing lens, in order to establish MATLAB model, draw radial and azimuthal polarization focal field distribution, analyze its characteristics. High-end computing focusing field full expression Poincare Sphere light field, so we can assure polarized focusing field expressions based on radial and angular focusing field to calculate the full Poincare sphere light field. However, in the calculation of the relative amplitude of the radial component and a component of the angular relative phase with each other before and how to allocate, determine the ultimate distribution of the focusing fields. according to its ，then use matlab model, and continue to change the parameters, draw its focal field distribution.

Key words：High numerical aperture, beam column vector symmetry, order all Poincare Sphere, focal field distribution

目录

摘要 ………………………………………………………………………Ⅰ

Abstract ……………………………………………………………… Ⅱ

第一章绪论 …………………………………………………………………4

1.1 引言………………………………………………………………………4

1.2 光学偏振 ………………………………………………………………4

1.3 邦加球表示法 …………………………………………………………5

第二章高数值孔径下的柱对称矢量光束 …………………………………6

2.1简介 ……………………………………………………………………6

2.2 几何结构…………………………………………………………………7

2.3 径向偏振光源 …………………………………………………………9

2.4 角向偏振光源 …………………………………………………………10

2.5 示例 ……………………………………………………………………11

2.6 实验实现 ………………………………………………………………13

2.7 均匀偏振光源 …………………………………………………………14

2.8 matlab建模 ………………………………………………………………15

2.9 轴对称偏振光的产生方法简介 ………………………………………23

2.10 讨论与小结 ……………………………………………………………25

第三章高阶全邦加球光场………………………………………………………26

3.1简介…………………………………………………………………………26

3.2建模与分析…………………………………………………………………28

3.3简单推导过程………………………………………………………………40

结论 ……………………………………………………………………………43

致谢 ……………………………………………………………………………43

参考文献（References） ……………………………………………………44

第一章绪论

剩余内容已隐藏，请支付后下载全文，论文总字数：25090字