Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: The Interior Inverse Electromagnetic Scattering for an Inhomogeneous
  Cavity   In this paper we consider the inverse electromagnetic scattering for a cavity
surrounded by an inhomogeneous medium in three dimensions. The measurements are
scattered wave fields measured on some surface inside the cavity, where such
scattered wave fields are due to sources emitted on the same surface. We first
prove that the measurements uniquely determine the shape of the cavity, where
we make use of a boundary value problem called the exterior transmission
problem. We then complete the inverse scattering problem by designing the
linear sampling method to reconstruct the cavity. Numerical examples are
further provided to illustrate the viability of our algorithm.

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The categories of this paper are: astro-ph
9
The categories of this paper are: nlin
0
The categories of this paper are: hep-ph
29
The categories of this paper are: funct-an
22
The categories of this paper are: chao-dyn
4
The categories of this paper are: cond-mat
18
The categories of this paper are: econ
23
The categories of this paper are: solv-int
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The categories of this paper are: gr-qc
33
The categories of this paper are: plasm-ph
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The categories of this paper are: mtrl-th
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The categories of this paper are: dg-ga
34
The categories of this paper are: chem-ph
10
The categories of this paper are: q-bio
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The categories of this paper are: stat
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The categories of this paper are: hep-lat