Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Nonlinear magnetic metamaterials and possible applications on
  all-optical comparers and bistabilities in Fabry-Perot cavities   We investigate the modulational instability and time-domain dynamics of
nonlinear magnetic metamaterials composed of coupled split-ring resonators
loaded by Kerr nonlinearity. Our results indicate that the recently proposed
optical switching of local optical index based on uniform-response assumption
seems fragile. We conceive two alternative schemes to utilize the valuable
enhanced non- linearity, one is to focus on few-body systems and directly make
use of the modulational instability (e.g., an optical comparator design), the
other is to consider global switching arising from global feedbacks as in usual
cases (e.g., Fabry-Perot cavities) rather than local-resonances-based switching
of optical constants which may be destroyed by the discreteness and
interactions as we show in this paper. We also try to provide comprehensive
understanding of the relations between our results on discrete nonlinear
metamterials and those on continuous metamaterials and natural materials in the
literatures.

12
The categories of this paper are: nucl-th
23
The categories of this paper are: solv-int
30
The categories of this paper are: q-alg
11
The categories of this paper are: hep-lat
7
The categories of this paper are: hep-th
10
The categories of this paper are: q-bio
33
The categories of this paper are: plasm-ph
9
The categories of this paper are: nlin
27
The categories of this paper are: comp-gas
25
The categories of this paper are: patt-sol
2
The categories of this paper are: math
31
The categories of this paper are: ao-sci
35
The categories of this paper are: mtrl-th
21
The categories of this paper are: adap-org
28
The categories of this paper are: alg-geom
22
The categories of this paper are: chao-dyn