Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: An Asymptotic Formalism for Reconstructing Small Perturbations of
  Scatterers from Electric or Acoustic Far-Field Measurements   We consider the problem of determining the boundary perturbations of an
object from far-field electric or acoustic measurements. Assuming that the
unknown object boundary is a small perturbation of a circle, we develop a
linearized relation between the far-field data that result from fixed Dirichlet
boundary conditions, entering as parameters, and the shape of the object,
entering as variables. This relation is used to find the Fourier coefficients
of the perturbation of the shape and makes use of an expansion of the
Dirichlet-to-Neumann operator.

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The categories of this paper are: plasm-ph
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The categories of this paper are: hep-ex
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The categories of this paper are: chem-ph
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The categories of this paper are: atom-ph
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The categories of this paper are: eess
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The categories of this paper are: astro-ph
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The categories of this paper are: solv-int
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The categories of this paper are: nucl-ex
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The categories of this paper are: patt-sol
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The categories of this paper are: math-ph
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The categories of this paper are: supr-con
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The categories of this paper are: mtrl-th
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The categories of this paper are: quant-ph
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The categories of this paper are: nucl-th
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The categories of this paper are: hep-ph
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The categories of this paper are: gr-qc