Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Metasurfaces and Optimal transport   This paper provides a theoretical and numerical approach to show existence,
uniqueness, and the numerical determination of metalenses refracting radiation
with energy patterns. The theoretical part uses ideas from optimal transport
and for the numerical solution we study and implement a damped Newton algorithm
to solve the semi discrete problem. A detailed analysis is carried out to solve
the near field one source refraction problem and extensions to the far field
are also mentioned.

33
The categories of this paper are: plasm-ph
36
The categories of this paper are: cmp-lg
26
The categories of this paper are: bayes-an
27
The categories of this paper are: comp-gas
37
The categories of this paper are: supr-con
10
The categories of this paper are: q-bio
0
The categories of this paper are: hep-ph
17
The categories of this paper are: q-fin
9
The categories of this paper are: nlin
23
The categories of this paper are: solv-int
13
The categories of this paper are: quant-ph
25
The categories of this paper are: patt-sol
12
The categories of this paper are: nucl-th
7
The categories of this paper are: hep-th
14
The categories of this paper are: math-ph
28
The categories of this paper are: alg-geom