Publication details

Light rays and waves on geodesic lenses

Authors

XU Lin WANG Xiangyang TYC Tomáš SHENG Chong ZHU Shining LIU Hui CHEN Huanyang

Year of publication 2019
Type Article in Periodical
Magazine / Source PHOTONICS RESEARCH
MU Faculty or unit

Faculty of Science

Citation
Web https://arxiv.org/ftp/arxiv/papers/1801/1801.10438.pdf
Doi http://dx.doi.org/10.1364/PRJ.7.001266
Keywords optical waves
Description Starting from well-known absolute instruments that provide perfect imaging, we analyze a class of rotationally symmetric compact closed manifolds, namely, geodesic lenses. We demonstrate with a numerical method that light rays confined on geodesic lenses form closed trajectories, and that for optical waves, the spectrum of a geodesic lens is (at least approximately) degenerate and equidistant. Moreover, we fabricate two geodesic lenses in micrometer and millimeter scales and observe curved light rays along the geodesics. Our experimental setup may offer a new platform to investigate light propagation on curved surfaces.
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