几种透镜成像的理论分析(哈密顿原理+矩阵方法+相位变换函数) 摘 要: 经典几何光学对于透镜成像基本规律已经给出了透彻的研究。目前运用哈密顿原理、矩阵方法、相位变换函数、角特征函数研究透镜成像规律的内容还很少。本文首先介绍费马原理、哈密顿原理、几种光学矩阵、相位变换函数、角特征函数，再运用这些原理方法以薄透镜为例详细分析透镜成像。以上几种理论推导原理最终得出透镜成像的牛顿公式。分析结果表明，运用以上几种理论分析透镜成像规律是一致的。对透镜成像规律的理论推导既丰富了光学成像的理论体系，也给以后的透镜研究工作者提供了参考。
关键词：薄透镜成像；几何光学成像；哈密顿方法成像；矩阵方法成像；相位变换法成像；折射球面的角特征函数成像
Several Kinds of Theory of Lens Imaging Analysis
Abstract: Basic rules of classical geometrical optics for lens imaging has been researched thoroughly. Using the Hamilton's principle, matrix method, the Angle of phase transformation function and characteristic function to research the rule of lens imaging are rare. this article first referral fermat's principle, Hamilton's principle, several optical matrix, phase transformation function, Angle characteristic function, and then take thin mirror lens for example to analysis the rule of lens imaging. The above several kinds of theoretical derivation principles eventually conclude the Newton formula of lens imaging. Analysis results show that using the above several kinds of theory to analyze lens imaging rule is consistent with the results. lens. Theory of lens imaging rule not only enrich the theory of optical imaging system but also provides reference to latter lens research workers.
Key words: The thin lens imaging; Geometric optical imaging; Hamiltonian method imaging; Imaging matrix method; Phase transformation method imaging; Spherical refraction Angle of the characteristic function imaging
目 录
摘要 1
引言 2
1.几何光学成像 2
1.1费马原理 2
1.2薄透镜的几何光学成像 6
2.哈密顿方法成像 7
2.1哈密顿原理 7
2.2透镜的哈密顿方法成像 8
3.矩阵方法成像 9
3.1光学传递矩阵 9
3.2薄透镜的矩阵方法成像 11
4.相位变换法成像 11
4.1透镜的位相变换函数 11
4.2透镜的位相变换法成像 12
5.特征函数法成像 14
5.1特征函数 14
5.2透镜的角特征函数法成像 14
6.结束语 16
参考文献 17
致谢 18,3107