Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Gap Sensitivity Reveals Universal Behaviors in Optimized Photonic
  Crystal and Disordered Networks   Through an extensive series of high-precision numerical computations of the
optimal complete photonic band gap (PBG) as a function of dielectric contrast
$\alpha$ for a variety of crystal and disordered heterostructures, we reveal
striking universal behaviors of the gap sensitivity $\mathcal{S}(\alpha)\equiv
d\Delta(\alpha)/d\alpha$, the first derivative of the optimal gap-to-midgap
ratio $\Delta(\alpha)$. In particular, for all our crystal networks,
$\mathcal{S}(\alpha)$ takes a universal form that is well approximated by the
analytic formula for a one-dimensional quarter-wave stack,
$\mathcal{S}_{\text{QWS}}(\alpha)$. Even more surprisingly, the values of
$\mathcal{S}(\alpha)$ for our disordered networks converge to
$\mathcal{S}_{\text{QWS}}(\alpha)$ for sufficiently large $\alpha$. A deeper
understanding of the simplicity of this universal behavior may provide
fundamental insights about PBG formation and guidance in the design of novel
photonic heterostructures.

24
The categories of this paper are: dg-ga
37
The categories of this paper are: supr-con
22
The categories of this paper are: chao-dyn
4
The categories of this paper are: cond-mat
15
The categories of this paper are: nucl-ex
26
The categories of this paper are: bayes-an
11
The categories of this paper are: hep-lat
34
The categories of this paper are: chem-ph
6
The categories of this paper are: astro-ph
27
The categories of this paper are: comp-gas
1
The categories of this paper are: cs
21
The categories of this paper are: adap-org
9
The categories of this paper are: nlin
28
The categories of this paper are: alg-geom
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The categories of this paper are: eess
33
The categories of this paper are: plasm-ph