Timing with resonant gravitational wave detectors: An experimental test

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Gravitational Wave Detectors And Experiments, Gravitational Radiation Detectors, Mass Spectrometers, And Other Instrumentation And Techniques

Scientific paper

We measure the time of arrival t0 of a force signal acting on a room temperature gravitational wave antenna. The antenna has a noise spectral density whose shape is a rescaled replica of that predicted for the two subkelvin antennas located in Italy, once at their sensitivity goal. t0 is expressed as t0=tφ+kT0 where T0 is half the natural period of oscillation of the antenna, \|tφ\|<=T0/2, and k is an integer. We measure the phase part tφ with an accuracy of σtφ~174 μs/SNR, where SNR is the signal to noise ratio for the signal amplitude. We also find that, for SNR>=20, the error on k is δk<<1 so that the total statistical error on the arrival time reduces to the phase error σtφ. We discuss how this last result can be achieved even for smaller values of the SNR, by better tuning the modes of the antenna. We finally discuss the relevance of these results for source location and spuria events rejection with the two subkelvin detectors above.

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