Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Thermal distortions of non-Gaussian beams in Fabry-Perot cavities   Thermal effects are already important in currently operating interferometric
gravitational wave detectors. Planned upgrades of these detectors involve
increasing optical power to combat quantum shot noise. We consider the
ramifications of this increased power for one particular class of laser
beams--wide, flat-topped, mesa beams. In particular we model a single mesa beam
Fabry-Perot cavity having thermoelastically deformed mirrors. We calculate the
intensity profile of the fundamental cavity eigenmode in the presence of
thermal perturbations, and the associated changes in thermal noise. We also
outline an idealized method of correcting for such effects. At each stage we
contrast our results with those of a comparable Gaussian beam cavity. Although
we focus on mesa beams the techniques described are applicable to any
azimuthally symmetric system.

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The categories of this paper are: nlin
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The categories of this paper are: funct-an
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The categories of this paper are: comp-gas
14
The categories of this paper are: math-ph
25
The categories of this paper are: patt-sol
34
The categories of this paper are: chem-ph
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The categories of this paper are: hep-ex
37
The categories of this paper are: supr-con
32
The categories of this paper are: atom-ph
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The categories of this paper are: hep-th
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The categories of this paper are: nucl-th
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The categories of this paper are: chao-dyn
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The categories of this paper are: math
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The categories of this paper are: eess
36
The categories of this paper are: cmp-lg
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The categories of this paper are: econ