Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Non-linearity in monochromatic transmission tomography   While it is well known that X-ray tomography using a polychromatic source is
non-linear, as the linear attenuation coefficient depends on the wavelength of
the X-rays, tomography using near monochromatic sources are usually assumed to
be a linear inverse problem. When sources and detectors are not treated as
points the measurements are the integrals of the exponentials of line integrals
and hence non-linear. In this paper we show that this non-linearity can be
observed in realistic situations using both experimental measurements in a
gamma-ray tomography system and simulations. We exhibit the Jacobian matrix of
the non-linear forward problem. We also demonstrate a reconstruction algorithm,
which we apply to experimental data and we show that improved reconstructions
can be obtained over the linear approximation.

26
The categories of this paper are: bayes-an
34
The categories of this paper are: chem-ph
18
The categories of this paper are: econ
35
The categories of this paper are: mtrl-th
11
The categories of this paper are: hep-lat
0
The categories of this paper are: hep-ph
23
The categories of this paper are: solv-int
20
The categories of this paper are: acc-phys
14
The categories of this paper are: math-ph
17
The categories of this paper are: q-fin
10
The categories of this paper are: q-bio
4
The categories of this paper are: cond-mat
9
The categories of this paper are: nlin
36
The categories of this paper are: cmp-lg
6
The categories of this paper are: astro-ph
8
The categories of this paper are: hep-ex