Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: A backscattering model based on corrector theory of homogenization for
  the random Helmholtz equation   This work concerns the analysis of wave propagation in random media. Our
medium of interest is sea ice, which is a composite of a pure ice background
and randomly located inclusions of brine and air. From a pulse emitted by a
source above the sea ice layer, the main objective of this work is to derive a
model for the backscattered signal measured at the source/detector location.
The problem is difficult in that, in the practical configuration we consider,
the wave impinges on the layer with a non-normal incidence. Since the sea ice
is seen by the pulse as an effective (homogenized) medium, the energy is
specularly reflected and the backscattered signal vanishes in a first order
approximation. What is measured at the detector consists therefore of
corrections to leading order terms, and we focus in this work on the
homogenization corrector. We describe the propagation by a random Helmholtz
equation, and derive an expression of the corrector in this layered framework.
We moreover obtain a transport model for quadratic quantities in the random
wavefield in a high frequency limit.

37
The categories of this paper are: supr-con
4
The categories of this paper are: cond-mat
14
The categories of this paper are: math-ph
17
The categories of this paper are: q-fin
6
The categories of this paper are: astro-ph
11
The categories of this paper are: hep-lat
18
The categories of this paper are: econ
8
The categories of this paper are: hep-ex
25
The categories of this paper are: patt-sol
34
The categories of this paper are: chem-ph
7
The categories of this paper are: hep-th
9
The categories of this paper are: nlin
12
The categories of this paper are: nucl-th
28
The categories of this paper are: alg-geom
20
The categories of this paper are: acc-phys
3
The categories of this paper are: physics