| 正方形自聚焦透镜光线理论研究 |
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| 引用本文： | 陈凯,周自刚,张韧,杨坤.正方形自聚焦透镜光线理论研究[J].光子学报,2008,37(9):1739-1742. |
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| 作者姓名： | 陈凯 周自刚 张韧 杨坤 |
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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： | 针对正方形自聚焦透镜折射率分布特点,引入方向角概念,以平方律表征其折射率分布.从理论上研究了平方律折射率分布下正方形自聚焦透镜的光线轨迹方程,得到了子午光线表达式.结果表明,与传统径向自聚焦透镜相比,正方形自聚焦透镜的光线轨迹受光线入射方向角影响,会产生较大像差.得到了正方形自聚焦透镜数值孔径表达式,表明数值孔径并非常量,且与方向角密切相关.计算了中心轴上的最大数值孔径,方向角为0°时最小为0.405,方向角为45°时最大值0.5以上.
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| 关 键 词： | 正方形自聚焦透镜 折射率分布 子午光线轨迹 数值孔径 |
| 收稿时间： | 2007-04-28 |
| 修稿时间： | 2007-07-04 |
Study on Ray Theory of Square Gradient-Index Lens |
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| CHEN Kai,ZHOU Zi-gang,ZHANG Ren,YANG Kun.Study on Ray Theory of Square Gradient-Index Lens[J].Acta Photonica Sinica,2008,37(9):1739-1742. |
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| Authors: | CHEN Kai ZHOU Zi-gang ZHANG Ren YANG Kun |
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| Abstract: | The refractive-index distribution of square seifoc lens (GRIN) was analyzed by Matlab software.Based on the characteristic,square law function was brought forward to figure the refractive-index distribution.The computation results are well agreement with the exqerimental results.The ray tracing in the square GRIN lens was studied,the meridian ray tracing equation and numerical aperture equation were got.The mumerical aperture relates to the directions amgle as well,when the directions angle is 0,the largest numerical aperture is 0.405 and it can be up to around 0.5 when the directions angle is π/4. |
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| Keywords: | Square GRIN Lenses Refractive Index Distributing Meridian ray tracing Numerical Aperture |
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