Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Classical and quantum properties of cylindrically polarized states of
  light   We investigate theoretical properties of beams of light with non-uniform
polarization patterns. Specifically, we determine all possible configurations
of cylindrically polarized modes (CPMs) of the electro-magnetic field,
calculate their total angular momentum and highlight the subtleties of their
structure. Furthermore, a hybrid spatio-polarization description for such modes
is introduced and developed. In particular, two independent Poincar\'e spheres
have been introduced to represent simultaneously the polarization and spatial
degree of freedom of CPMs. Possible mode-to-mode transformations accomplishable
with the help of conventional polarization and spatial phase retarders are
shown within this representation. Moreover, the importance of these CPMs in the
quantum optics domain due to their classical features is highlighted.

33
The categories of this paper are: plasm-ph
28
The categories of this paper are: alg-geom
11
The categories of this paper are: hep-lat
9
The categories of this paper are: nlin
20
The categories of this paper are: acc-phys
15
The categories of this paper are: nucl-ex
18
The categories of this paper are: econ
10
The categories of this paper are: q-bio
4
The categories of this paper are: cond-mat
17
The categories of this paper are: q-fin
8
The categories of this paper are: hep-ex
2
The categories of this paper are: math
31
The categories of this paper are: ao-sci
5
The categories of this paper are: gr-qc
32
The categories of this paper are: atom-ph
30
The categories of this paper are: q-alg