Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Mathematical analysis of electromagnetic plasmonic metasurfaces   We study the anomalous electromagnetic scattering in the homogenization
regime, by a subwavelength thin layer of periodically distributed plasmonic
nanoparticles on a perfect conducting plane. By using layer potential
techniques, we derive the asymptotic expansion of the electromagnetic field
away from the thin layer and quantitatively analyze the field enhancement due
to the mixed collective plasmonic resonances, which can be characterized by the
spectra of periodic Neumann-Poincar\'{e} type operators. Based on the
asymptotic behavior of the scattered field in the macroscopic scale, we further
demonstrate that the optical effect of this thin layer can be effectively
approximated by a Leontovich boundary condition, which is uniformly valid no
matter whether the incident frequency is near the resonant range but varies
with the magnetic property of the plasmonic nanoparticles. The quantitative
approximation clearly shows the blow-up of the field energy and the conversion
of polarization when resonance occurs, resulting in a significant change of the
reflection property of the conducting plane. These results confirm essential
physical changes of electromagnetic metasurface at resonances mathematically,
whose occurrence was verified earlier for the acoustic case
\cite{ammari2017bubble} and the transverse magnetic case
\cite{ammari2016mathematical}.

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The categories of this paper are: cond-mat
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The categories of this paper are: hep-lat
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The categories of this paper are: q-fin
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The categories of this paper are: hep-ex
9
The categories of this paper are: nlin
0
The categories of this paper are: hep-ph
12
The categories of this paper are: nucl-th
34
The categories of this paper are: chem-ph
27
The categories of this paper are: comp-gas
14
The categories of this paper are: math-ph
26
The categories of this paper are: bayes-an
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The categories of this paper are: eess
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The categories of this paper are: physics
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The categories of this paper are: acc-phys
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The categories of this paper are: q-alg
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The categories of this paper are: astro-ph