论文标题
使用Lie代数法对Seidel像差系数的替代计算
Alternative computation of the Seidel aberration coefficients using the Lie algebraic method
论文作者
论文摘要
我们简要介绍了哈密顿的光学和谎言代数方法。我们使用这些方法来描述相位空间中光传播，折射和反射的操作员。该方法提供了一种系统的方法来找到任何任意旋转对称光学系统的顺序的像差系数。 Lie方法的系数与Seidel像差系数有关。此外，Lie代数理论保留了列出个体表面贡献的特性。给出了三个示例以验证提出的方法，并取得良好的结果。
We give a brief introduction to Hamiltonian optics and Lie algebraic methods. We use these methods to describe the operators governing light propagation, refraction and reflection in phase space. The method offers a systematic way to find aberration coefficients of any order for arbitrary rotationally symmetric optical systems. The coefficients from the Lie method are linked to the Seidel aberration coefficients. Furthermore, the property of summing individual surface contributions is preserved by the Lie algebraic theory. Three examples are given to validate the proposed methodology with good results.
