Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Light rays and waves on geodesic lenses   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.

8
The categories of this paper are: hep-ex
10
The categories of this paper are: q-bio
33
The categories of this paper are: plasm-ph
30
The categories of this paper are: q-alg
28
The categories of this paper are: alg-geom
22
The categories of this paper are: chao-dyn
26
The categories of this paper are: bayes-an
20
The categories of this paper are: acc-phys
4
The categories of this paper are: cond-mat
11
The categories of this paper are: hep-lat
15
The categories of this paper are: nucl-ex
23
The categories of this paper are: solv-int
16
The categories of this paper are: stat
32
The categories of this paper are: atom-ph
7
The categories of this paper are: hep-th
27
The categories of this paper are: comp-gas