Light rays and waves on geodesic lenses
Optics
2018-02-01 v1
Abstract
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.
Cite
@article{arxiv.1801.10438,
title = {Light rays and waves on geodesic lenses},
author = {Lin Xu and Xiangyang Wang and Tomáš Tyc and Chong Sheng and Shining Zhu and Hui Liu and Huanyang Chen},
journal= {arXiv preprint arXiv:1801.10438},
year = {2018}
}
Comments
16 pages, 9 figures