Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Approximate cloaking for electromagnetic waves via transformation
  optics: cloaking vs infinite energy   We study the approximate cloaking via transformation optics for
electromagnetic waves in the time harmonic regime in which the cloaking device
{\it only} consists of a layer constructed by the mapping technique. Due to the
fact that no-lossy layer is required, resonance might appear and the analysis
is delicate. We analyse both non-resonant and resonant cases. In particular, we
show that the energy can blow up inside the cloaked region in the resonant case
and/whereas cloaking is {\it achieved} in {\it both} cases. Moreover, the
degree of visibility {\it depends} on the compatibility of the source inside
the cloaked region and the system. These facts are new and distinct from known
mathematical results in the literature.

25
The categories of this paper are: patt-sol
33
The categories of this paper are: plasm-ph
32
The categories of this paper are: atom-ph
0
The categories of this paper are: hep-ph
1
The categories of this paper are: cs
29
The categories of this paper are: funct-an
7
The categories of this paper are: hep-th
30
The categories of this paper are: q-alg
10
The categories of this paper are: q-bio
28
The categories of this paper are: alg-geom
22
The categories of this paper are: chao-dyn
34
The categories of this paper are: chem-ph
21
The categories of this paper are: adap-org
13
The categories of this paper are: quant-ph
15
The categories of this paper are: nucl-ex
37
The categories of this paper are: supr-con