Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Mathematical analysis of transmission properties of electromagnetic
  meta-materials   We study time-harmonic Maxwell's equations in meta-materials that use either
perfect conductors or high-contrast materials. Based on known effective
equations for perfectly conducting inclusions, we calculate the transmission
and reflection coefficients for four different geometries. For high-contrast
materials and essentially two-dimensional geometries, we analyze parallel
electric and parallel magnetic fields and discuss their potential to exhibit
transmission through a sample of meta-material. For a numerical study, one
often needs a method that is adapted to heterogeneous media; we consider here a
Heterogeneous Multiscale Method for high contrast materials. The qualitative
transmission properties, as predicted by the analysis, are confirmed with
numerical experiments. The numerical results also underline the applicability
of the multiscale method.

9
The categories of this paper are: nlin
18
The categories of this paper are: econ
8
The categories of this paper are: hep-ex
30
The categories of this paper are: q-alg
33
The categories of this paper are: plasm-ph
26
The categories of this paper are: bayes-an
29
The categories of this paper are: funct-an
3
The categories of this paper are: physics
11
The categories of this paper are: hep-lat
15
The categories of this paper are: nucl-ex
17
The categories of this paper are: q-fin
27
The categories of this paper are: comp-gas
14
The categories of this paper are: math-ph
36
The categories of this paper are: cmp-lg
31
The categories of this paper are: ao-sci
34
The categories of this paper are: chem-ph