Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: A generalized Debye source approach to electromagnetic scattering in
  layered media   The standard solution to time-harmonic electromagnetic scattering problems in
homogeneous layered media relies on the use of the electric field dyadic
Green's function. However, for small values of the governing angular frequency
$\omega$, evaluation of the electric field using this Green's function exhibits
numerical instability. In this short note, we provide an alternative approach
which is immune from this low-frequency breakdown as $\omega \to 0$. Our
approach is based on the generalized Debye source representation of Maxwell
fields. Using this formulation, the electric and magnetic fields gracefully
decouple in the static limit, a behavior similar to that of the classical
Lorenz-Debye-Mie representation of Maxwell fields in spherical geometries. We
derive extensions of both the generalized Deybe source and Lorenz-Debye-Mie
representations to planar geometries, as well as provide equations for the
solution of scattering from a perfectly conducting half-space and in layered
media using a Sommerfeld-like approach. These formulas are stable as $\omega$
tends to zero, and offer alternatives to the electric field dyadic Green's
function.

25
The categories of this paper are: patt-sol
12
The categories of this paper are: nucl-th
5
The categories of this paper are: gr-qc
31
The categories of this paper are: ao-sci
29
The categories of this paper are: funct-an
11
The categories of this paper are: hep-lat
17
The categories of this paper are: q-fin
13
The categories of this paper are: quant-ph
30
The categories of this paper are: q-alg
16
The categories of this paper are: stat
34
The categories of this paper are: chem-ph
7
The categories of this paper are: hep-th
36
The categories of this paper are: cmp-lg
28
The categories of this paper are: alg-geom
10
The categories of this paper are: q-bio
20
The categories of this paper are: acc-phys