曲面GRIN光学元件近轴光学参数的通用算法

本文利用矩阵和常数ＫＧ方法推导了曲面梯度折射率光学元件的近轴参数，如焦距、象方截距，焦截距，线放大率与主点位置，角放大率与节点位置的表达式，并讨论了势物面形径向对称曲面ＧＲＩＮ光学元件的成象特性，当度为半周期的整数时，发现了其有趣的现象，得出了一些有益的结论。

A general method of calculation of paraxial optical parameters for curved GRIN optical element

The simple expressions of paraxial optical parameters, including focal lengths and convex focal lengths .line magnification and principal positions,angular magnification and noval positions of curved gradient index (GRIN ) optical element have been derived based on the coefficient matrix of ray tracing and constants K and G,and the imaging properties of curved GRIN with quadratic index distribution have been discussed and its interesting phenomena have been found when its thickness is equal to the integer times of its half periodic length, theconclusions will be helpful to the design. The method is simple and concise,apprepriate to all types of axial,someradial and layer types of curved GRINs with paraboloidal or paraxially approximated paraboloidal index distributions,and also suitable to the combinations of GRINs and conventional optical elements.