| 球面端面的锥形梯度折射率透镜的近轴成像特性 |
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| 引用本文： | 邹义榕. 球面端面的锥形梯度折射率透镜的近轴成像特性[J]. 光学学报, 1989, 9(9): 36-842 |
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| 作者姓名： | 邹义榕 |
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| 作者单位： | 福建师范大学激光研究所(廖延俤)，南平师专物理系(邹义榕) |
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| 摘 要： | 本文根据光线在球面上的折射公式及光线微分方程,研究了光线经两端面为球面的锥形梯度折射率透镜的传播和变换,基于光线传递ABCD矩阵,提出了球面端面的锥形梯度折射率透镜的一种等效光学系统.文中给出了该透镜的主平面、焦平面和焦距计算公式,以及近轴成像高斯公式.当锥度为零时即得到球面端面的柱形或径向梯度折射率透镜的相应结果.
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| 关 键 词： | 梯度折射率 透镜 光学成像 |
| 收稿时间： | 1988-09-10 |
Paraxial imaging characteristics of a conical GRIN rod lens with spherical end surfaces |
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| LIAO TINGDI. Paraxial imaging characteristics of a conical GRIN rod lens with spherical end surfaces[J]. Acta Optica Sinica, 1989, 9(9): 36-842 |
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| Authors: | LIAO TINGDI |
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| Abstract: | In this paper we made a study of ray propagation and transformation through a conical GRIN rod lens with spherical end surfaces based on the formula of ray refraction on the spherical surfaces and the ray equation. On the basis of the ray transmitting matrix obtained an equivalent optical system of the conical GRIN rod lens with spherical end surfaces is proposed. The formulas for determing the principal planes, focal planes and the focal lengths are derived and the paraxial imaging Gaussian formula is also given. All the results can be applied to the cylindrical or radial GRIN rod lens while the taper is made zero. |
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| Keywords: | gradient index selfoc lens oplioal imaging. |
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