Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Stable evaluation of Green's functions in cylindrically stratified
  regions with uniaxial anisotropic layers   We present a robust algorithm for the computation of electromagnetic fields
radiated by point sources (Hertzian dipoles) in cylindrically stratified media
where each layer may exhibit material properties (permittivity, permeability,
and conductivity) with uniaxial anisotropy. Analytical expressions are obtained
based on the spectral representation of the tensor Green's function based on
cylindrical Bessel and Hankel eigenfunctions, and extended for layered uniaxial
media. Due to the poor scaling of these eigenfunctions for extreme arguments
and/or orders, direct numerical evaluation of such expressions can produce
numerical instability, i.e., underflow, overflow, and/or round-off errors under
finite precision arithmetics. To circumvent these problems, we develop a
numerically stable formulation through suitable rescaling of various
expressions involved in the computational chain, to yield a robust algorithm
for all parameter ranges. Numerical results are presented to illustrate the
robustness of the formulation including cases of practical interest to
geophysical exploration.

21
The categories of this paper are: adap-org
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The categories of this paper are: dg-ga
36
The categories of this paper are: cmp-lg
10
The categories of this paper are: q-bio
16
The categories of this paper are: stat
17
The categories of this paper are: q-fin
35
The categories of this paper are: mtrl-th
31
The categories of this paper are: ao-sci
32
The categories of this paper are: atom-ph
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The categories of this paper are: chem-ph
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The categories of this paper are: plasm-ph
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The categories of this paper are: patt-sol
1
The categories of this paper are: cs
29
The categories of this paper are: funct-an
8
The categories of this paper are: hep-ex
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The categories of this paper are: econ