Coincidence Probabilities for Networks of Laser Interferometric Detectors Observing Coalescing Compact Binaries
The threshold averaged coincidence probability and the coincidence probability as a function of the thresholds of two or more laser interferometers, are applied to the case of waves from coalescing compact binaries. These are thought to be the most likely sources of gravitational waves to be detected by broad-band detectors.
We obtain the various coincidence probabilities as functions of the distance to the source relative to the maximum distance a network will be able to look at. After deducing the probability distribution for binaries located inside the observable volume, we calculate the detection efficiency, defined as the averaged value of the coincidence probability over the volume. By assuming the figure of three events per year for neutron-star binaries out to 100 Mpc, we calculate the event rate that a network of interferometers will be able to register over a given observation time.
We find that the currently proposed four detectors in California, Maine, Scotland and Germany, working with light recycling will be able to observe in coincidence 2000 events per year out to 2.1 Gpc.
KeywordsGravitational Wave Detection Efficiency Single Antenna Antenna Pattern Polarization Ellipse
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