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Light rays and waves on geodesic lenses
Photonics Research ( IF 7.6 ) Pub Date : 2019-10-28 , DOI: 10.1364/prj.7.001266
Lin Xu , Xiangyang Wang , Tomáš Tyc , Chong Sheng , Shining Zhu , Hui Liu , Huanyang Chen

Starting from well-known absolute instruments for perfect imaging, we introduce a type of rotational-symmetrical compact closed manifolds, namely geodesic lenses. We demonstrate that light rays confined on geodesic lenses are closed trajectories. While for optical waves, the spectrum of geodesic lens is (at least approximately) degenerate and equidistant with numerical methods. Based on this property, we show a periodical evolution of optical waves and quantum waves on geodesic lenses. Moreover, we fabricate two geodesic lenses in sub-micrometer scale, where curved light rays are observed with high accurate precision. Our results may offer a new platform to investigate light propagation on curved surfaces.

中文翻译:

测地线透镜上的光线和波

从众所周知的完美成像绝对仪器开始,我们引入了一种旋转对称的紧凑型封闭流形,即测地线透镜。我们证明限制在测地线透镜上的光线是封闭的轨迹。而对于光波,测地线透镜的光谱与数值方法(至少近似)是退化和等距的。基于这一特性,我们展示了测地线透镜上光波和量子波的周期性演化。此外,我们制造了两个亚微米级的测地线透镜,可以高精度地观察弯曲光线。我们的结果可能提供一个新的平台来研究曲面上的光传播。
更新日期:2019-10-28
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