Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: A Generalization of Abel Inversion to non axisymmetric density
  distribution   Abel Inversion is currently used in laser-plasma studies in order to estimate
the electronic density $n_e$ from the phase-shift map $\delta \phi$ obtained
via interferometry. The main limitation of the Abel method is due to the
assumption of axial symmetry of the electronic density, which is often hardly
fulfilled. In this paper we present an improvement to the Abel inversion
technique in which the axial symmetry condition is relaxed by means of a
truncated Legendre Polinomial expansion in the azimutal angle. With the help of
simulated interferograms, we will show that the generalized Abel inversion
generates accurate densities maps when applied to non axisymmetric density
sources.

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The categories of this paper are: mtrl-th
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The categories of this paper are: supr-con
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The categories of this paper are: adap-org
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The categories of this paper are: cmp-lg
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The categories of this paper are: eess
2
The categories of this paper are: math
7
The categories of this paper are: hep-th
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The categories of this paper are: solv-int
28
The categories of this paper are: alg-geom
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The categories of this paper are: plasm-ph
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The categories of this paper are: chao-dyn
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The categories of this paper are: funct-an
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The categories of this paper are: chem-ph
20
The categories of this paper are: acc-phys
12
The categories of this paper are: nucl-th
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The categories of this paper are: ao-sci