Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Integral method for the calculation of Hawking radiation in dispersive
  media I. Symmetric asymptotics   Hawking radiation has become experimentally testable thanks to the many
analogue systems which mimic the effects of the event horizon on wave
propagation. These systems are typically dominated by dispersion, and give rise
to a numerically soluble and stable ODE only if the rest-frame dispersion
relation $\Omega^{2}(k)$ is a polynomial of relatively low degree. Here we
present a new method for the calculation of wave scattering in a
one-dimensional medium of arbitrary dispersion. It views the wave equation as
an integral equation in Fourier space, which can be solved using standard and
efficient numerical techniques.

12
The categories of this paper are: nucl-th
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The categories of this paper are: hep-th
4
The categories of this paper are: cond-mat
22
The categories of this paper are: chao-dyn
9
The categories of this paper are: nlin
21
The categories of this paper are: adap-org
26
The categories of this paper are: bayes-an
6
The categories of this paper are: astro-ph
19
The categories of this paper are: eess
25
The categories of this paper are: patt-sol
20
The categories of this paper are: acc-phys
31
The categories of this paper are: ao-sci
29
The categories of this paper are: funct-an
17
The categories of this paper are: q-fin
28
The categories of this paper are: alg-geom
37
The categories of this paper are: supr-con