Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Scattering resonances in unbounded transmission problems with
  sign-changing coefficient   It is well-known that classical optical cavities can exhibit localized
phenomena associated to scattering resonances (using the Black Box Scattering
Theory), leading to numerical instabilities in approximating the solution.
Those localized phenomena concentrate at the inner boundary of the cavity and
are called whispering gallery modes. In this paper we investigate scattering
resonances for unbounded transmission problems with sign-changing coefficient
(corresponding to optical cavities with negative optical propertie(s), for
example made of metamaterials). Due to the change of sign of optical
properties, previous results cannot be applied directly, and interface
phenomena at the metamaterial-dielectric interface (such as the so-called
surface plasmons) emerge. We establish the existence of scattering resonances
for arbitrary two-dimensional smooth metamaterial cavities. The proof relies on
an asymptotic characterization of the resonances, and extending the Black Box
Scattering Theory to problems with sign-changing coefficient. Our asymptotic
analysis reveals that, depending on the metamaterial's properties, scattering
resonances situated closed to the real axis are associated to surface plasmons.
Examples for several metamaterial cavities are provided.

8
The categories of this paper are: hep-ex
19
The categories of this paper are: eess
12
The categories of this paper are: nucl-th
0
The categories of this paper are: hep-ph
21
The categories of this paper are: adap-org
26
The categories of this paper are: bayes-an
27
The categories of this paper are: comp-gas
33
The categories of this paper are: plasm-ph
30
The categories of this paper are: q-alg
31
The categories of this paper are: ao-sci
18
The categories of this paper are: econ
16
The categories of this paper are: stat
15
The categories of this paper are: nucl-ex
14
The categories of this paper are: math-ph
34
The categories of this paper are: chem-ph
17
The categories of this paper are: q-fin