Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Dielectric photonic crystal as medium with negative electric
  permittivity and magnetic permeability   We show that a two-dimensional photonic crystal (PC) made from a non-magnetic
dielectric is a left-handed material in the sense defined by Veselago. Namely,
it has negative values of both the electric permittivity $\epsilon$ and the
magnetic permeability $\mu$ in some frequency range. This follows from a
recently proven general theorem. The negative values of $\epsilon$ and $\mu$
are found by a numerical simulation. Using these values we demonstrate the
Veselago lens, a unique optical device predicted by Veselago. An approximate
analytical theory is proposed to calculate the values of $\epsilon$ and $\mu$
from the PC band structure. It gives the results that are close to those
obtained by the numerical simulation. The theory explains how a non-zero
magnetization arises in a non-magnetic PC.

25
The categories of this paper are: patt-sol
13
The categories of this paper are: quant-ph
30
The categories of this paper are: q-alg
11
The categories of this paper are: hep-lat
14
The categories of this paper are: math-ph
37
The categories of this paper are: supr-con
35
The categories of this paper are: mtrl-th
8
The categories of this paper are: hep-ex
17
The categories of this paper are: q-fin
36
The categories of this paper are: cmp-lg
3
The categories of this paper are: physics
18
The categories of this paper are: econ
7
The categories of this paper are: hep-th
20
The categories of this paper are: acc-phys
10
The categories of this paper are: q-bio
12
The categories of this paper are: nucl-th