# 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)

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

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

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