Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: On the scattered field generated by a ball inhomogeneity of constant
  index   We consider the solution of a scalar Helmholtz equation where the potential
(or index) takes two positive values, one inside a disk of radius $\epsilon$
and another one outside. We derive sharp estimates of the size of the scattered
field caused by this disk inhomogeneity, for any frequencies and any contrast.
We also provide a broadband estimate, that is, a uniform bound for the
scattered field for any contrast, and any frequencies outside of a set which
tend to zero with $\epsilon$.

11
The categories of this paper are: hep-lat
12
The categories of this paper are: nucl-th
9
The categories of this paper are: nlin
33
The categories of this paper are: plasm-ph
0
The categories of this paper are: hep-ph
20
The categories of this paper are: acc-phys
22
The categories of this paper are: chao-dyn
27
The categories of this paper are: comp-gas
15
The categories of this paper are: nucl-ex
25
The categories of this paper are: patt-sol
6
The categories of this paper are: astro-ph
35
The categories of this paper are: mtrl-th
14
The categories of this paper are: math-ph
37
The categories of this paper are: supr-con
13
The categories of this paper are: quant-ph
17
The categories of this paper are: q-fin