Light rays and waves on geodesic lenses

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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.
Related projects:	Ústav Eduarda Čecha pro algebru, geometrii a matematickou fyziku