Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Direct sampling for recovering sound soft scatterers from point source
  measurements   In this paper, we consider the inverse problem of recovering a sound soft
scatterer from the measured scattered field. The scattered field is assumed to
be induced by a point source on a curve/surface that is known. Here we will
propose and analyze new direct sampling methods for this problem. The first
method we consider uses a far-field transformation of the near-field data which
will allow us to derive explicit bounds in the resolution analysis for the
direct sampling method's imaging functional. Two direct sampling methods will
be studied using the far-field transformation. For these imaging functionals,
we will use the Funk-Hecke identities to study the resolution analysis. We will
also study a direct sampling method for the case of the given Cauchy data.
Numerical examples are given to show the applicability of the new imaging
functionals for recovering a sound soft scatterer in 2D.

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The categories of this paper are: gr-qc
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The categories of this paper are: hep-th
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The categories of this paper are: cond-mat
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The categories of this paper are: mtrl-th
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The categories of this paper are: chem-ph
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The categories of this paper are: hep-ex
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The categories of this paper are: math-ph
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The categories of this paper are: q-fin
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The categories of this paper are: quant-ph
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The categories of this paper are: solv-int
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The categories of this paper are: chao-dyn
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The categories of this paper are: dg-ga
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The categories of this paper are: comp-gas
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The categories of this paper are: atom-ph
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The categories of this paper are: physics
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The categories of this paper are: funct-an