【摘要】 本文研究光线在具有非圆柱形等折射率面的发散型梯度折射率棒透镜中的传播规律,提出在轴向弱非匀条件(即dg^-1（z）/dz<<1下近轴子午光线轨迹的一种解析表达式.从该解析式的解析解,棒透镜梯度参数g（z）所满足的条件出发,导出棒透镜的折射率分布族.文中给出了两个线性无关的光线传播轨迹的解析解族,并以一种发散型棒透镜为例讨论了近轴成像特性.更多还原

【Abstract】 In this paper, a study of the ray propagat ng through nonoylindrioal defocusing GRIN lens is presented. A set of general solutions of the paraxial merdial ray equation for nonoylindrioal defocusing GRIN lens which meet the weakly inhomogeneouscondition (ie,d/(dz)[g-1 (z)]≤1) is proposed. The refractive-index profiles are derived from the condition met by the qiadient parameter-g(z), which provides the analytical solutions of the ray equation. Two independent analytical solutions for ray propagating paths are given and the paraxial imaging characteristics are discussed for a parabolic defocusing GRIN lens.更多还原