应用哈密顿公式研究傍轴透镜光学

本文论述了用L定义光学的哈密顿H,并给出了哈密顿公式的基本方程式.利用哈密顿方程式,我们在旋转对称的光学系统里追迹光线.我们还将利用哈密顿公式得出折射面和透镜的简单结果.通过研究二个有代表性的例题说明这个方法是可行的.

Application of the Hamiltonian Formulationto the of Paraxial Lens Optics

Abstract In this paper, we now define the optics Hamiltonian H, in terms of L (L is the Lagrangian) , and given the basic epuations of the Hamiltonian formulation. Using Hamilton's epuations , We tracing rays in a rotationally symmetric optical system. We will show the Hamiltonian formulation can be used to yield simple results for refracting surfaces and Lens. By considering two representative examples to show that this method is avilable.