Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: An explicit representation for the axisymmetric solutions of the free
  Maxwell equations   Garay-Avenda\~no \& Zamboni-Rached (2014) defined two classes of axisymmetric
solutions of the free Maxwell equations. We prove that the linear combinations
of these two classes of solutions cover all totally propagating time-harmonic
axisymmetric free Maxwell fields -- and hence, by summation on frequencies, all
totally propagating axisymmetric free Maxwell fields. It provides an explicit
representation for these fields. This will be important, e.g., to have the
interstellar radiation field in a disc galaxy modelled as an exact solution of
the free Maxwell equations.
  Keywords: Maxwell equations; axial symmetry; exact solutions; electromagnetic
duality

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The categories of this paper are: patt-sol
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The categories of this paper are: astro-ph
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The categories of this paper are: hep-ex
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The categories of this paper are: plasm-ph
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The categories of this paper are: hep-ph
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The categories of this paper are: bayes-an
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The categories of this paper are: comp-gas
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The categories of this paper are: q-alg
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The categories of this paper are: atom-ph
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The categories of this paper are: funct-an
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The categories of this paper are: chao-dyn
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The categories of this paper are: ao-sci
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The categories of this paper are: nucl-ex
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The categories of this paper are: math-ph
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The categories of this paper are: stat
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The categories of this paper are: cs