The Sensitivity of Ligo to a Stochastic Background, and its Dependance on the Detector Orientations

Details The Sensitivity of Ligo to a Stochastic Background, and its Dependance on the Detector Orientations The Sensitivity of Ligo to a Stochastic Background, and its Dependance on the Detector Orientations

1993-05-24

arxiv.org/abs/astro-ph/9305029v1

Phys.Rev.D48:2389-2407,1993

Astronomy and Astrophysics

Astrophysics

56 pages, 10 figures, Caltech preprint GRP-347, submitted to Phys Rev D, uses revtex macros

Scientific paper

10.1103/PhysRevD.48.2389

We analyze the sensitivity of a network of interferometer gravitational-wave detectors to the gravitational-wave stochastic background, and derive the dependence of this sensitivity on the orientations of the detector arms. We build on and extend the recent work of Christensen, but our conclusion for the optimal choice of orientations of a pair of detectors differs from his. For a pair of detectors (such as LIGO) that subtends an angle at the center of the earth of $\,\alt 70^\circ$, we find that the optimal configuration is for each detector to have its arms make an angle of $45^\circ$ (modulo $90^\circ$) with the arc of the great circle that joins them. For detectors that are farther separated, each detector should instead have one arm aligned with this arc. We also describe in detail the optimal data-analysis algorithm for searching for the stochastic background with a detector network, which is implicit in earlier work of Michelson. The LIGO pair of detectors will be separated by $\sim 3000 \, {\rm km}$. The minimum detectable stochastic energy-density for these detectors with their currently planned orientations is $\sim 3\%$ greater than what it would be if the orientations were optimal.

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