| 方形自聚焦透镜折射率分析 |
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| 引用本文： | 陈凯,韩艳玲,周自刚.方形自聚焦透镜折射率分析[J].光子学报,2008,37(4):648-651. |
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| 作者姓名： | 陈凯 韩艳玲 周自刚 |
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| 作者单位： | 西南科技大学,理学院,四川,绵阳,621000 |
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| 基金项目： | 西南科技大学校科研和教改项目 |
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| 摘 要： | 利用MATLAB 偏微分方程工具箱(PDE)实现方形玻璃纤维边界条件下离子扩散的有限元解法,给出一般步骤,对离子交换制备方形自聚焦透镜过程进行计算机模拟.运用分离变量法求解方形玻璃纤维中Tl+离子浓度定解方程,由离子浓度与折射率的线性关系,得到了方形自聚焦透镜折射率分布的数学表达式,计算出折射率分布图以及理论值.与实验值校验表明,相对误差小于0.33%.
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| 关 键 词： | 方形自聚焦透镜 离子交换 MATLAB 分离变量法 |
| 文章编号： | 1004-4213(2008)04-0648-4 |
| 收稿时间： | 2006-11-06 |
| 修稿时间： | 2006年11月3日 |
Analysis of Refractive-index Distribution of Square Gradient Lens |
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| CHEN Kai,HAN Yan-ling,ZHOU Zi-gang.Analysis of Refractive-index Distribution of Square Gradient Lens[J].Acta Photonica Sinica,2008,37(4):648-651. |
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| Authors: | CHEN Kai HAN Yan-ling ZHOU Zi-gang |
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| Abstract: | MATLAB diffusion partial differential toolbox is used to solve ion diffusion equation with square boundary conditions, and the ion concentration dynamic process is simulated during the ion exchange. The Solution can be played and showed. The Tl+ concentration equation in square class fiber is calculated by variable separation method, the refractive-index distribution of Square GRIN lenses analytic solution is got based on the linear relation between refractive-index and ion concentration. The computation results are in good agreement with the measured ones. It can reflect the refractive-index of Square GRIN well. |
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| Keywords: | Square GRIN Lenses Ion exchange MATLAB Variable separation method |
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