Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Supersymmetry, half-bound states, and grazing incidence reflection   Electromagnetic waves at grazing incidence onto a planar medium are analogous
to zero energy quantum particles incident onto a potential well. In this limit
waves are typically completely reflected. Here we explore dielectric profiles
supporting optical analogues of `half-bound states', allowing for zero
reflection at grazing incidence. To obtain these profiles we use two different
theoretical approaches: supersymmetric quantum mechanics, and direct inversion
of the Helmholtz equation.

21
The categories of this paper are: adap-org
7
The categories of this paper are: hep-th
2
The categories of this paper are: math
10
The categories of this paper are: q-bio
15
The categories of this paper are: nucl-ex
37
The categories of this paper are: supr-con
9
The categories of this paper are: nlin
34
The categories of this paper are: chem-ph
16
The categories of this paper are: stat
25
The categories of this paper are: patt-sol
20
The categories of this paper are: acc-phys
23
The categories of this paper are: solv-int
1
The categories of this paper are: cs
24
The categories of this paper are: dg-ga
12
The categories of this paper are: nucl-th
32
The categories of this paper are: atom-ph