5,417 research outputs found
Topologically Induced Optical Activity in Graphene-Based Meta-Structures
Non-reciprocity and asymmetric transmission in optical and plasmonic systems
is a key element for engineering the one-way propagation structures for light
manipulation. Here we investigate topological nanostructures covered with
graphene-based meta-surfaces, which consist of a periodic pattern of
sub-wavelength stripes of graphene winding around the (meta-) tube or
(meta-)torus. We establish the relation between the topological and plasmonic
properties in these structures, as justified by simple theoretical expressions.
Our results demonstrate how to use strong asymmetric and chiral plasmonic
responses to tailor the electrodynamic properties in topological
meta-structures. Cavity resonances formed by elliptical and hyperbolic plasmons
in meta-structures are sensitive to the one-way propagation regime in a finite
length (Fabry-Perot-like) meta-tube and display the giant mode splitting in a
(Mach-Zehnder-like) meta-torus.Comment: 20 pages, 5 figures + TOC figure, accepted by ACS Photonic
Density and localization of resonances for convex co-compact hyperbolic surfaces
Let be a convex co-compact hyperbolic surface and let be the
Hausdorff dimension of the limit set of the underlying discrete group. We show
that the density of the resonances of the Laplacian in strips {\sigma\leq
\re(s) \leq \delta} with |\im(s)| \leq T is less than
with as long as
. This improves the fractal Weyl upper bounds of Zworski and
supports numerical results obtained for various models of quantum chaotic
scattering
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