Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Elucidating the stop bands of structurally colored systems through
  recursion   Interference phenomena are the source of some of the spectacular colors of
animals and plants in nature. In some of these systems, the physical structure
consists of an ordered array of layers with alternating high and low refractive
indices. This periodicity leads to an optical band structure that is analogous
to the electronic band structure encountered in semiconductor physics; namely,
specific bands of wavelengths (the stop bands) are perfectly reflected. Here,
we present a minimal model for optical band structure in a periodic multilayer
and solve it using recursion relations. We present experimental data for
various beetles, whose optical structure resembles the proposed model. The stop
bands emerge in the limit of an infinite number of layers by finding the fixed
point of the recursive relations. In order for these to converge, an
infinitesimal amount of absorption needs to be present, reminiscent of the
regularization procedures commonly used in physics calculations. Thus, using
only the phenomenon of interference and the idea of recursion, we are able to
elucidate the concepts of band structure and regularization in the context of
experimentally observed phenomena, such as the high reflectance and the
iridescent color appearance of structurally colored beetles.

35
The categories of this paper are: mtrl-th
10
The categories of this paper are: q-bio
6
The categories of this paper are: astro-ph
36
The categories of this paper are: cmp-lg
19
The categories of this paper are: eess
28
The categories of this paper are: alg-geom
18
The categories of this paper are: econ
32
The categories of this paper are: atom-ph
30
The categories of this paper are: q-alg
22
The categories of this paper are: chao-dyn
13
The categories of this paper are: quant-ph
2
The categories of this paper are: math
31
The categories of this paper are: ao-sci
7
The categories of this paper are: hep-th
25
The categories of this paper are: patt-sol
33
The categories of this paper are: plasm-ph