Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: A route to all frequency homogenization of periodic structures   We start from a one-dimensional periodic multilayered stack in order to
define a frequency power expansion of effective permittivity, permeability and
bianisotropic parameters. It is shown from the first order that a simple
dielectric multilayer can display a magnetoelectric coupling effect and, from
the second order, that artificial magnetism can be obtained with arbitrary low
contrast. However, this frequency power expansion is found to diverge at the
first band gap edge. Thus, an alternative set of effective parameters, made of
the propagation index and the surface impedance, is proposed. It is established
that these effective parameters, as functions of the complex frequency, possess
all the analytic properties required by the causality principle and passivity.
Finally, we provide arguments to extend these results to the three-dimensional
and frequency-dispersive case.

29
The categories of this paper are: funct-an
16
The categories of this paper are: stat
36
The categories of this paper are: cmp-lg
33
The categories of this paper are: plasm-ph
30
The categories of this paper are: q-alg
22
The categories of this paper are: chao-dyn
23
The categories of this paper are: solv-int
1
The categories of this paper are: cs
35
The categories of this paper are: mtrl-th
31
The categories of this paper are: ao-sci
27
The categories of this paper are: comp-gas
20
The categories of this paper are: acc-phys
37
The categories of this paper are: supr-con
4
The categories of this paper are: cond-mat
34
The categories of this paper are: chem-ph
12
The categories of this paper are: nucl-th