Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Boundary conditions for matrix of variations in refractive waveguides
  with rough bottom   The solution of the Helmholtz equation in optical semiclassic approximation
is associated with the calculation of ray paths and matrices of variations. The
transformation rules for elements of matrices on the boundaries of the
waveguide are obtained.

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The categories of this paper are: astro-ph
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The categories of this paper are: acc-phys
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The categories of this paper are: q-bio
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The categories of this paper are: econ
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The categories of this paper are: nlin
25
The categories of this paper are: patt-sol
31
The categories of this paper are: ao-sci
26
The categories of this paper are: bayes-an
11
The categories of this paper are: hep-lat
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The categories of this paper are: cmp-lg
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The categories of this paper are: q-fin
32
The categories of this paper are: atom-ph
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The categories of this paper are: nucl-ex
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The categories of this paper are: hep-th
27
The categories of this paper are: comp-gas
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The categories of this paper are: alg-geom