Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Parametric patterns in optical fiber ring nonlinear resonators   We propose that parametrically excited patterns, also known as Faraday
patterns, can be observed in nonlinear fiber resonators, where the coefficient
of Kerr nonlinearity is periodically varying along the fiber in resonator. We
study the parametric instability analytically on the basis of the Floquet
theory, also numerically, by direct integration of the system. Instead of
classical Faraday wave excitation scenario, where modulation in time causes
formation of patterns in space, here we propose an inverted scenario, where the
modulation in space excites the patterns in time.

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The categories of this paper are: plasm-ph
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The categories of this paper are: chem-ph
21
The categories of this paper are: adap-org
2
The categories of this paper are: math
32
The categories of this paper are: atom-ph
0
The categories of this paper are: hep-ph
24
The categories of this paper are: dg-ga
12
The categories of this paper are: nucl-th
13
The categories of this paper are: quant-ph
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The categories of this paper are: funct-an
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The categories of this paper are: cmp-lg
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The categories of this paper are: econ
5
The categories of this paper are: gr-qc
1
The categories of this paper are: cs
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The categories of this paper are: alg-geom
25
The categories of this paper are: patt-sol