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| 非圆柱形发散梯度折射率棒透镜光线传播轨迹的解析解族 | |
| 引用本文： | 廖廷俤,邱锦辉,林金豆. 非圆柱形发散梯度折射率棒透镜光线传播轨迹的解析解族[J]. 光学学报, 1990, 10(1): 53-59 |
| 作者姓名： | 廖廷俤 邱锦辉 林金豆 |
| 作者单位： | 福建师范大学激光研究所 福州(廖廷俤，邱锦辉)，福建师范大学激光研究所 福州(林金豆) |
| 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. |
| 关 键 词： | 梯度折射率 棒透镜 光线传播 |
| 收稿时间： | 1989-03-07 |
A set of analytical solutions of the paraxial ray equation for noncylindrical defocusing GRIN lens |
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| LIAO TIUGDI,QIU JINHUI AND LIN JINDOU. A set of analytical solutions of the paraxial ray equation for noncylindrical defocusing GRIN lens[J]. Acta Optica Sinica, 1990, 10(1): 53-59 | |
| Authors: | LIAO TIUGDI QIU JINHUI AND LIN JINDOU |
| 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 inhomogeneous condition (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. |
| Keywords: | gradient index GRIN lens ray propagation. |
| 本文献已被 CNKI 等数据库收录！ | |