Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Radiative transfer and diffusion limits for wave field correlations in
  locally shifted random media   The aim of this paper is to develop a mathematical framework for
opto-elastography. In opto-elastography, a mechanical perturbation of the
medium produces a decorrelation of optical speckle patterns due to the
displacements of optical scatterers. To model this, we consider two optically
random media, with the second medium obtained by shifting the first medium in
some local region. We derive the radiative transfer equation for the
cross-correlation of the wave fields in the media. Then we derive its diffusion
approximation. In both the radiative transfer and the diffusion regimes, we
relate the correlation of speckle patterns to the solutions of the radiative
transfer and the diffusion equations. We present numerical simulations based on
our model which are in agreement with recent experimental measurements.

33
The categories of this paper are: plasm-ph
16
The categories of this paper are: stat
8
The categories of this paper are: hep-ex
22
The categories of this paper are: chao-dyn
5
The categories of this paper are: gr-qc
34
The categories of this paper are: chem-ph
10
The categories of this paper are: q-bio
29
The categories of this paper are: funct-an
35
The categories of this paper are: mtrl-th
7
The categories of this paper are: hep-th
21
The categories of this paper are: adap-org
26
The categories of this paper are: bayes-an
30
The categories of this paper are: q-alg
25
The categories of this paper are: patt-sol
36
The categories of this paper are: cmp-lg
27
The categories of this paper are: comp-gas