Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Focussing light in a bi-anisotropic slab with negatively refracting
  materials   We investigate the electromagnetic response of a pair of complementary
bi-anisotropic media, which consist of a medium with positive refractive index
($+\ep$, $+\mu$, $+\xi$) and a medium with negative refractive index($-\ep$,
$-\mu$, $-\xi$). We show that this idealized system has peculiar imaging
properties in that it reproduces images of a source, in principle, with
unlimited resolution. We then consider an infinite array of line sources
regularly spaced in a one-dimensional photonic crystal (PC) consisting of
2n-layers of bi-anisotropic complementary media. Using coordinate
transformation, we map this system into 2D corner chiral lenses of 2n
heterogeneous anisotropic complementary media sharing a vertex, within which
light circles around closed trajectories. Alternatively, one can consider
corner lenses with homogeneous isotropic media and map them onto one
dimensional PCs with heterogeneous bi-anisotropic layers. Interestingly, such
complementary media are described by scalar, or matrix valued, sign-shifting
parameters, which satisfy a generalized lens theorem, which can be derived
using Fourier series solutions of the Maxwell's equations (in the former case),
or from space-time symmetry arguments (in the latter case). Also of interest
are 2D periodic checkerboards alternating rectangular cells of complementary
media which are such that one point source in one cell gives rise to an
infinite set of images with an image in every other cell. Such checkerboards
can be mapped into a class of three-dimensional corner lenses of complementary
bi-anisotropic media.

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The categories of this paper are: econ
27
The categories of this paper are: comp-gas
6
The categories of this paper are: astro-ph
32
The categories of this paper are: atom-ph
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The categories of this paper are: solv-int
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The categories of this paper are: nucl-th
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The categories of this paper are: hep-th
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The categories of this paper are: eess
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The categories of this paper are: hep-lat
2
The categories of this paper are: math
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The categories of this paper are: chem-ph
37
The categories of this paper are: supr-con
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The categories of this paper are: chao-dyn
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The categories of this paper are: adap-org
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The categories of this paper are: mtrl-th
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The categories of this paper are: stat