Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Unusual Brownian motion of photons in open absorbing media   Very recent experiments have discovered that localized light in strongly
absorbing media displays intriguing diffusive phenomena. Here we develop a
first-principles theory of light propagation in open media with arbitrary
absorption strength and sample length. We show analytically that photons in
localized open absorbing media exhibit unusual Brownian motion. Specifically,
wave transport follows the diffusion equation with the diffusion coefficient
exhibiting spatial resolution. Most strikingly, despite that the system is
controlled by two parameters -- the ratio of the localization (absorption)
length to the sample length -- the spatially resolved diffusion coefficient
displays novel single parameter scaling: it depends on the space via the
returning probability. Our analytic predictions for this diffusion coefficient
are confirmed by numerical simulations. In the strong absorption limit they
agree well with the experimental results.

28
The categories of this paper are: alg-geom
1
The categories of this paper are: cs
26
The categories of this paper are: bayes-an
36
The categories of this paper are: cmp-lg
32
The categories of this paper are: atom-ph
20
The categories of this paper are: acc-phys
37
The categories of this paper are: supr-con
35
The categories of this paper are: mtrl-th
31
The categories of this paper are: ao-sci
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The categories of this paper are: eess
2
The categories of this paper are: math
11
The categories of this paper are: hep-lat
8
The categories of this paper are: hep-ex
33
The categories of this paper are: plasm-ph
21
The categories of this paper are: adap-org
9
The categories of this paper are: nlin