Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Uniqueness to Inverse Acoustic and Electromagnetic Scattering From
  Locally Perturbed Rough Surfaces   In this paper, we consider inverse time-harmonic acoustic and electromagnetic
scattering from locally perturbed rough surfaces in three dimensions. The
scattering interface is supposed to be the graph of a Lipschitz continuous
function with compact support. It is proved that an acoustically sound-soft or
sound-hard surface can be uniquely determined by the far-field pattern of
infinite number of incident plane waves with distinct directions. Moreover, a
single point source or plane wave can be used to uniquely determine a
scattering surface of polyhedral type. These uniqueness results apply to
Maxwell equations with the perfectly conducting boundary condition. Our
arguments rely on the mixed reciprocity relation in a half space and the
reflection principle for Helmholtz and Maxwell equations.

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The categories of this paper are: stat
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The categories of this paper are: cmp-lg
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The categories of this paper are: comp-gas
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The categories of this paper are: econ
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The categories of this paper are: alg-geom
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The categories of this paper are: gr-qc
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The categories of this paper are: hep-ph
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The categories of this paper are: astro-ph
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The categories of this paper are: hep-lat
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The categories of this paper are: adap-org
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The categories of this paper are: atom-ph
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The categories of this paper are: nlin
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The categories of this paper are: math-ph
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The categories of this paper are: chem-ph
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The categories of this paper are: q-alg
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The categories of this paper are: hep-th