Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Effective Medium Response of Metallic Nanowire Arrays with a Kerr-type
  Dielectric Host   We derive an effective medium model to characterize the macroscopic
electromagnetic response of metallic nanowire arrays embedded in a host
dielectric with a Kerr-type nonlinear permittivity function. It is shown that
the macroscopic electromagnetic fields are coupled to the conduction current in
the nanowires and to an additional quasi-static potential through a system of
nonlinear equations. We prove that a weak nonlinearity leads to an
electromagnetic response closer to that of an indefinite medium, and to
isofrequency contours with increased hyperbolicity. For high-field intensities
the negative refraction of electromagnetic waves at an air nanowire material
interface is enhanced when the nanowires are embedded in a self-focusing Kerr
medium.

29
The categories of this paper are: funct-an
2
The categories of this paper are: math
8
The categories of this paper are: hep-ex
26
The categories of this paper are: bayes-an
28
The categories of this paper are: alg-geom
35
The categories of this paper are: mtrl-th
24
The categories of this paper are: dg-ga
9
The categories of this paper are: nlin
23
The categories of this paper are: solv-int
3
The categories of this paper are: physics
33
The categories of this paper are: plasm-ph
14
The categories of this paper are: math-ph
10
The categories of this paper are: q-bio
15
The categories of this paper are: nucl-ex
18
The categories of this paper are: econ
36
The categories of this paper are: cmp-lg