Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Generalized Gaussian beams in terms of Jones vectors   Based on the operator formalism that arises from the underlying SU(2) group
structure, a formula is derived that provides a description of the generalized
Hermite-Laguerre Gauss modes in terms of a Jones vector, traditionally used to
describe polarization. This identity highlights the relation between these
generalized Gaussian beams, the elliptical ray families, and the Majorana
constellations used to represent structured-Gaussian beams. Moreover, it
provides a computational advantage over the standard formula in terms of Wigner
$d$ functions.

8
The categories of this paper are: hep-ex
26
The categories of this paper are: bayes-an
10
The categories of this paper are: q-bio
12
The categories of this paper are: nucl-th
14
The categories of this paper are: math-ph
5
The categories of this paper are: gr-qc
16
The categories of this paper are: stat
4
The categories of this paper are: cond-mat
19
The categories of this paper are: eess
21
The categories of this paper are: adap-org
22
The categories of this paper are: chao-dyn
37
The categories of this paper are: supr-con
33
The categories of this paper are: plasm-ph
11
The categories of this paper are: hep-lat
13
The categories of this paper are: quant-ph
30
The categories of this paper are: q-alg