Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Certain properties of MUSIC-type imaging functional in inverse
  scattering from an open, sound-hard arc   This paper concerns mathematical formulation of well-known MUltiple SIgnal
Classification (MUSIC)-type imaging functional in the inverse scattering
problem by an open sound-hard arc. Based on the physical factorization of
so-called Multi-Static Response (MSR) matrix and the structure of left-singular
vectors liked to the non-zero singular values of MSR matrix, we construct a
relationship between imaging functional and Bessel function of order $1$ of the
first kind. We then expound certain properties of MUSIC and present numerical
results for a number of differently chosen smooth arcs.

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The categories of this paper are: mtrl-th
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The categories of this paper are: patt-sol
3
The categories of this paper are: physics
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The categories of this paper are: eess
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The categories of this paper are: alg-geom
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The categories of this paper are: dg-ga
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The categories of this paper are: funct-an
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The categories of this paper are: bayes-an
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The categories of this paper are: cond-mat
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The categories of this paper are: q-fin
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The categories of this paper are: solv-int
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The categories of this paper are: cmp-lg
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The categories of this paper are: hep-ex
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The categories of this paper are: atom-ph
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The categories of this paper are: adap-org
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The categories of this paper are: supr-con