Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Spectral theory for Maxwell's equations at the interface of a
  metamaterial. Part II: Limiting absorption, limiting amplitude principles and
  interface resonance   This paper is concerned with the time-dependent Maxwell's equations for a
plane interface between a negative material described by the Drude model and
the vacuum, which fill, respectively, two complementary half-spaces. In a first
paper, we have constructed a generalized Fourier transform which diagonalizes
the Hamiltonian that represents the propagation of transverse electric waves.
In this second paper, we use this transform to prove the limiting absorption
and limiting amplitude principles, which concern, respectively, the behavior of
the resolvent near the continuous spectrum and the long time response of the
medium to a time-harmonic source of prescribed frequency. This paper also
underlines the existence of an interface resonance which occurs when there
exists a particular frequency characterized by a ratio of permittivities and
permeabilities equal to $-1$ across the interface. At this frequency, the
response of the system to a harmonic forcing term blows up linearly in time.
Such a resonance is unusual for wave problem in unbounded domains and
corresponds to a non-zero embedded eigenvalue of infinite multiplicity of the
underlying operator. This is the time counterpart of the ill-posdness of the
corresponding harmonic problem.

28
The categories of this paper are: alg-geom
6
The categories of this paper are: astro-ph
15
The categories of this paper are: nucl-ex
13
The categories of this paper are: quant-ph
8
The categories of this paper are: hep-ex
18
The categories of this paper are: econ
27
The categories of this paper are: comp-gas
30
The categories of this paper are: q-alg
33
The categories of this paper are: plasm-ph
7
The categories of this paper are: hep-th
5
The categories of this paper are: gr-qc
31
The categories of this paper are: ao-sci
16
The categories of this paper are: stat
10
The categories of this paper are: q-bio
9
The categories of this paper are: nlin
20
The categories of this paper are: acc-phys