Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: The implications of Mexican-hat mirrors: calculations of thermoelastic
  noise and interferometer sensitivity to perturbation for the
  Mexican-hat-mirror proposal for advanced LIGO   Thermoelastic noise will be the most significant noise source in
advanced-LIGO interferometers with sapphire test masses. The standard plan for
advanced-LIGO has optimized the optics, within the framework of conventional
mirrors, to reduce thermoelastic noise. Recently, we and our collaborators have
proposed going beyond the bounds of traditional optics to increase the
effective beam spot size and thus lower thermoelastic noise. One particular
proposal for mirror shapes (``Mexican-hat mirrors'') yields the class of
``mesa'' beams.
  In this paper, we outline a general procedure for analyzing light propagating
in individual arm cavities, and the associated thermoelastic noise, in the
presence of arbitrary optics. We apply these procedures to study the
Mexican-hat proposal. Results obtained by the techniques of this paper were
presented elsewhere, to demonstrate that the Mexican-hat proposal for
advanced-LIGO both significantly lowers thermoelastic noise and does not
significantly complicate the function of the interferometer.

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The categories of this paper are: quant-ph
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The categories of this paper are: dg-ga
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The categories of this paper are: alg-geom
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The categories of this paper are: comp-gas
9
The categories of this paper are: nlin
37
The categories of this paper are: supr-con
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The categories of this paper are: q-fin
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The categories of this paper are: adap-org
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The categories of this paper are: astro-ph
4
The categories of this paper are: cond-mat
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The categories of this paper are: cmp-lg
30
The categories of this paper are: q-alg
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The categories of this paper are: chem-ph
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The categories of this paper are: econ
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The categories of this paper are: eess
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The categories of this paper are: nucl-th