摘要本章论文主要介绍了一种新的具有径向偏振特性和特殊互相干函数的部分相干矢量 波，并讨论了该光束的可实现性和光束条件。经过推导得出一个通过对称 ABCD 光学系 统的径向偏振 CGCSM(cosine-Gaussian-correlated Schell model) 光束的 CSD(cross-spectral density)的矩阵元素的解析式以及对一由薄透镜聚焦的径向偏振 CGSCM 光束的统计特性 做出研究，并与传统的径向偏振 GSCM(Gaussian-correlated Schell mode) 光束进行对比 后，发现其相关函数的结构取决于径向偏振 CGCSM 光束的统计特性，这些特性均与 GCSM 光束有所不同。同时还发现焦平面的径偏振 CGCSM 光束的偏振态与其在源平面 的偏振态的差异以及径向偏振 CGCSM 光束的实验产生方法。79551

毕业论文关键词 部分相干 径向偏振 余弦高斯关联

毕业设计说明书外文摘要

Title Research on Generation and Focusing Characteristics of the Cosine-Gaussian Correlated Beam with Radial Polarization

Abstract A new kind of partially coherent vector beam with radial polarization and special correlation function has been introduced in this paper, its realizability and beam conditions have been discussed too。 We deduced the elements of the CSD matrix of a radially polarized CGCSM beam propagating through a stigmatic ABCD optical system, and studied the  statistical properties of a radially polarized CGCSM beam focused by a thin lens, then it has been compared with a conventional radially polarized GCSM beam。 The structure of correlation function determined the statistical properties of a radially polarized CGCSM beam, which are different from that of a radially polarized GCSM beam。 It is also been found that SOP of a radially polarized CGCSM beam in the focal plane differs from that in the source plane and experimental generation of a radially polarized CGCSM beam。

Keywords  partially coherence  radial polarization cosine-Gaussian-correlated

本科毕业设计说明书 第 I 页

目 次

1 引言 1

1。1 激光的发展及应用 1

1。2 矢量偏振光束 2

1。3 部分相干光束 5

2 基本理论 8

2。1 相干函数 8

2。2 矩阵光学理论 9

2。3 部分相干偏振统一理论 11

3 径向偏振 CGCSM 光束 14

3。1 径向偏振 CGCSM 光束的理论模型和可实现条件 14

3。2 径向偏振 CGCSM 光束的可实现条件 15

4 向偏振 CGCSM 光束的传输统计特性 20

4。1 偏振 CGCSM 光束的传输 20

4。2 数值模拟 22

结