Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Mathematical Analysis of the Photo-acoustic imaging modality using
  resonating dielectric nanoparticles: The 2D TM-model   We deal with the photoacoustic imaging modality using dielectric
nanoparticles as contrast agents. Exciting the heterogeneous tissue, localized
in a bounded domain $\Omega$, with an electromagnetic wave, at a given incident
frequency, creates heat in its surrounding which in turn generates an acoustic
pressure wave (or fluctuations). The acoustic pressure can be measured in the
accessible region $\partial \Omega$ surrounding the tissue of interest. The
goal is then to extract information about the optical properties (i.e. the
permittivity and conductivity) of this tissue from these measurements. We
describe two scenarios. In the first one, we inject single nanoparticles while
in the second one we inject couples of closely spaced nanoparticles (i.e.
dimers).
  This can be done using dielectric nanoparticles enjoying high contrasts of
both its electric permittivity and conductivity. These results are possible
using frequencies of incidence close to the resonances of the used dielectric
nanoparticles. This allows us to solve the photoacoustic inverse problem with
direct approximation formulas linking the measured pressure to the optical
properties of the tissue. The results are justified in the 2D TM-model.

28
The categories of this paper are: alg-geom
34
The categories of this paper are: chem-ph
23
The categories of this paper are: solv-int
30
The categories of this paper are: q-alg
26
The categories of this paper are: bayes-an
22
The categories of this paper are: chao-dyn
4
The categories of this paper are: cond-mat
35
The categories of this paper are: mtrl-th
31
The categories of this paper are: ao-sci
17
The categories of this paper are: q-fin
5
The categories of this paper are: gr-qc
7
The categories of this paper are: hep-th
32
The categories of this paper are: atom-ph
0
The categories of this paper are: hep-ph
6
The categories of this paper are: astro-ph
16
The categories of this paper are: stat