Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Theory of perturbation of electric potential by a 3D object made of an
  anisotropic dielectric material   The extended boundary condition method (EBCM) was formulated for the
perturbation of a source electric potential by a
  3D object composed of a homogeneous anisotropic dielectric medium whose
relative permittivity dyadic is positive definite. The formulation required the
application of Green's second identity to the exterior region to deduce the
electrostatic counterpart of the Ewald--Oseen extinction theorem. The electric
potential inside the object was represented using a basis obtained by
implementing an affine bijective transformation of space to the Gauss equation
for the electric field. The EBCM yields a transition matrix that depends on the
geometry and the composition of the 3D object, but not on the source potential.

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The categories of this paper are: cmp-lg
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The categories of this paper are: q-fin
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The categories of this paper are: comp-gas
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The categories of this paper are: supr-con
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The categories of this paper are: q-alg
20
The categories of this paper are: acc-phys
12
The categories of this paper are: nucl-th
22
The categories of this paper are: chao-dyn
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The categories of this paper are: alg-geom
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The categories of this paper are: chem-ph
1
The categories of this paper are: cs
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The categories of this paper are: nucl-ex
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The categories of this paper are: mtrl-th
16
The categories of this paper are: stat
32
The categories of this paper are: atom-ph
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The categories of this paper are: ao-sci