Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Thermal modulation for suppression of parametric instability in advanced
  gravitational wave detectors   Three-mode parametric instability is a threat to attaining design power
levels in Advanced gravitational wave detectors. The first observation of
three-mode parametric instability in a long optical cavity revealed that
instabilities could be suppressed by time variation of the mirror radius of
curvature. In this paper, we present three dimensional finite element analysis
of this thermo-acousto-optics system to determine whether thermal modulation
could provide sufficient instability's suppression without degrading time
averaged optical performance. It is shown that deformations due to the time
averaged heating profile on the mirror surface can be compensated by rear
surface heating of the test mass. Results show that a $CO_2$ laser heating beam
with a modulation amplitude of $1$ Watt at 0.01 Hz is sufficient to stabilize
acoustic mode with parametric gain up to 3. The parametric gain suppression
factor is linearly proportional to the peak modulation power.

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The categories of this paper are: chao-dyn
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The categories of this paper are: math-ph
2
The categories of this paper are: math
31
The categories of this paper are: ao-sci
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The categories of this paper are: atom-ph
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The categories of this paper are: econ
5
The categories of this paper are: gr-qc
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The categories of this paper are: bayes-an
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The categories of this paper are: cmp-lg
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The categories of this paper are: adap-org
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The categories of this paper are: chem-ph
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The categories of this paper are: nucl-ex
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The categories of this paper are: patt-sol
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The categories of this paper are: eess
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The categories of this paper are: q-fin
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The categories of this paper are: mtrl-th