Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Statistical Properties of the Reflectance and Transmittance of an
  Amplifying Random Media   Statistical properties of the transmittance ($T$) and reflectance ($R$) of an
amplifying layer with one-dimensional disorder are investigated analytically.
Whereas the transmittance at typical realizations decreases exponentially with
the layer thickness $L$ just as it does in absorbing media, the average
$\left\langle T\right\rangle $ and $\left\langle R\right\rangle $\ are shown to
be infinite even for finite $L$ due to the contribution of low-probable
resonant realizations corresponding to the non-Gaussian tail of the
distribution of $\ln T$. This tail differs drastically from that in the case of
absorption. The physical meaning of typical and resonant realizations is
discussed.

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The categories of this paper are: physics
0
The categories of this paper are: hep-ph
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The categories of this paper are: eess
32
The categories of this paper are: atom-ph
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The categories of this paper are: cs
2
The categories of this paper are: math
31
The categories of this paper are: ao-sci
10
The categories of this paper are: q-bio
28
The categories of this paper are: alg-geom
30
The categories of this paper are: q-alg
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The categories of this paper are: nucl-th
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The categories of this paper are: astro-ph
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The categories of this paper are: solv-int
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The categories of this paper are: stat
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The categories of this paper are: acc-phys
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The categories of this paper are: nucl-ex