Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: A novel integral equation for scattering by locally rough surfaces and
  application to the inverse problem   This paper is concerned with the direct and inverse acoustic or
electromagnetic scattering problems by a locally perturbed, perfectly
reflecting, infinite plane (which is called a locally rough surface in this
paper). We propose a novel integral equation formulation for the direct
scattering problem which is defined on a bounded curve (consisting of a bounded
part of the infinite plane containing the local perturbation and the lower part
of a circle) with two corners. This novel integral equation can be solved
efficiently by using the Nystrom method with a graded mesh introduced
previously by Kress and is capable of dealing with large wavenumber cases. For
the inverse problem, we propose a Newton iteration method to reconstruct the
local perturbation of the plane from multiple frequency far-field data, based
on the novel integral equation formulation. Numerical examples are carried out
to demonstrate that our reconstruction method is stable and accurate even for
the case of multiple-scale profiles.

11
The categories of this paper are: hep-lat
25
The categories of this paper are: patt-sol
13
The categories of this paper are: quant-ph
3
The categories of this paper are: physics
6
The categories of this paper are: astro-ph
32
The categories of this paper are: atom-ph
9
The categories of this paper are: nlin
4
The categories of this paper are: cond-mat
31
The categories of this paper are: ao-sci
29
The categories of this paper are: funct-an
5
The categories of this paper are: gr-qc
37
The categories of this paper are: supr-con
36
The categories of this paper are: cmp-lg
26
The categories of this paper are: bayes-an
14
The categories of this paper are: math-ph
34
The categories of this paper are: chem-ph