等折射率面为旋转抛物面的梯度折射率纤维透镜的成像特性

Imaging characristics of a GRIN fiber lens with constant refractive-index surfaces of revolution paraboloids

本文研究一种等折射率面为旋转抛物面的梯度折射率纤维的光线传播和近轴成像特性。从光线方程出发,得到光线轨迹的严格解析解,并由此导出纤维透镜的等效焦距、主面、焦面位置计算公式,以及高斯成像公式。

The ray propagating and paraxial imaging characteristics of a GRIN fiber lens with constant refractive-index surfaces of revolution paraboloids are studied. The exact analytical 'solutions for the ray paths are obtained from diffirential equation on light ray. The equivalent focal length and the formulas for determing the principal planes, focal planes are derived and the Gaussian imaging formulas are also given.