Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: The LISA Optimal Sensitivity   The multiple Doppler readouts available on the Laser Interferometer Space
Antenna (LISA) permit simultaneous formation of several interferometric
observables. All these observables are independent of laser frequency
fluctuations and have different couplings to gravitational waves and to the
various LISA instrumental noises. Within the functional space of
interferometric combinations LISA will be able to synthesize, we have
identified a triplet of interferometric combinations that show optimally
combined sensitivity. As an application of the method, we computed the
sensitivity improvement for sinusoidal sources in the nominal, equal-arm LISA
configuration. In the part of the Fourier band where the period of the wave is
longer than the typical light travel-time across LISA, the sensitivity gain
over a single Michelson interferometer is equal to $\sqrt{2}$. In the mid-band
region, where the LISA Michelson combination has its best sensitivity, the
improvement over the Michelson sensitivity is slightly better than $\sqrt{2}$,
and the frequency band of best sensitivity is broadened. For frequencies
greater than the reciprocal of the light travel-time, the sensitivity
improvement is oscillatory and $\sim \sqrt{3}$, but can be greater than
$\sqrt{3}$ near frequencies that are integer multiples of the inverse of the
one-way light travel-time in the LISA arm.

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The categories of this paper are: stat
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The categories of this paper are: dg-ga
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The categories of this paper are: mtrl-th
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The categories of this paper are: solv-int
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The categories of this paper are: hep-ph
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The categories of this paper are: alg-geom
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The categories of this paper are: bayes-an
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The categories of this paper are: acc-phys
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The categories of this paper are: ao-sci
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The categories of this paper are: plasm-ph
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The categories of this paper are: q-alg
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The categories of this paper are: math-ph
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The categories of this paper are: nucl-th
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The categories of this paper are: astro-ph
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The categories of this paper are: cmp-lg
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The categories of this paper are: eess