Ray-optical refraction with confocal lenslet arrays
Ray-optical refraction with confocal lenslet arrays
复制标题
共焦小透镜阵列的射线光学折射
DOI：
10.1088/1367-2630/10/8/083033
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发表时间：
2008
影响因子：
3.3
通讯作者：
J. Courtial
中科院分区：
文献类型：
--
作者：
J. Courtial
具有焦距f1和f2的两个平行的小透镜阵列共享公共焦平面（即，它们分开距离f1+f2），可以根据斯涅尔定律来反射透射的光线，但是用“sin”代替“tan”。对于有限范围的输入角和其他条件，情况就是如此。因此，这种共焦小透镜阵列可以模拟具有不同折射率n1和n2的光学介质之间的界面，由此比率η=-f2/f1起到折射率比率n2/n1的作用。适当选择焦距可实现正折射和负折射。与斯涅尔定律相反，该定律仅在n1=±n2的特殊情况下通过平面折射率界面导致非平凡的几何成像，修改后的折射定律导致对于任何η值的平面共焦小透镜阵列的几何成像。我们说明了一些共焦小透镜阵列的性质与使用光线跟踪软件呈现的图像。
Two parallel lenslet arrays with focal lengths f1 and f2 that share a common focal plane (that is, which are separated by a distance f1+f2) can refract transmitted light rays according to Snell's law, but with the ‘sin’s replaced with ‘tan’s. This is the case for a limited range of input angles and other conditions. Such confocal lenslet arrays can therefore simulate the interface between optical media with different refractive indices, n1 and n2, whereby the ratio η=-f2/f1 plays the role of the refractive-index ratio n2/n1. Suitable choices of focal lengths enable positive and negative refraction. In contrast to Snell's law, which leads to nontrivial geometric imaging by a planar refractive-index interface only for the special case of n1=±n2, the modified refraction law leads to geometric imaging by planar confocal lenslet arrays for any value of η. We illustrate some of the properties of confocal lenslet arrays with images rendered using ray-tracing software.