On detecting stochastic background gravitational radiation with terrestrial detectors

Astronomy and Astrophysics – Astrophysics

Scientific paper

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Gravitational Waves, Radiation Measuring Instruments, Signal To Noise Ratios, Stochastic Processes, Terrestrial Radiation, Background Radiation, Interferometry, Spectrum Analysis

Scientific paper

Several mechanisms for generating stochastic gravitational radiation have been postulated that lead to radiation in the frequency range accessible to terrestrial detectors (about 1-1000 Hz). The signal-to-noise ratio in a cross-correlation experiment with two detectors that have arbitrary relative angular orientation and separation is discussed. It is found that proposed laboratory-scale detectors can reach astrophysically interesting sensitivity levels, Omega(g) of less than 10 to the -7th, at frequencies below about 200 Hz. Interferometric detectors separated by continental distances can reach this sensitivity below about 400 Hz and, assuming adequate seismic isolation is provided, could attain a sensitivity of Omega(g) of about 10 to the -12th at 50 Hz. Omega(g) is the density parameter of stochastic gravitational radiation in a bandwidth Delta f = f.

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