Stochastic Gravitational Wave Measurements with Bar Detectors: Dependence of Response on Detector Orientation

Abstract

The response of a cross-correlation measurement to an isotropic stochastic gravitational-wave background depends on the observing geometry via the overlap reduction function. If one of the detectors being correlated is a resonant bar whose orientation can be changed, the response to stochastic gravitational waves can be modulated. I derive the general form of this modulation as a function of azimuth, both in the zero-frequency limit and at arbitrary frequencies. Comparisons are made between pairs of nearby detectors, such as LIGO Livingston-ALLEGRO, Virgo-AURIGA, Virgo-NAUTILUS, and EXPLORER-AURIGA, with which stochastic cross-correlation measurements are currently being performed, planned, or considered.

17 pages, REVTeX (uses rcs, amsmath, hyperref, and graphicx style files), 4 figures (8 eps image files)

References in corpus (4)

• Gravitational Wave Experiments and Early Universe Cosmology
• Modulating the experimental signature of a stochastic gravitational wave backgroun
• Stochastic Background Search Correlating ALLEGRO with LIGO Engineering Data
• A Data Analysis Technique for the LIGO-ALLEGRO Stochastic Background Search

Cited by in corpus (5)

• Science with the TianQin Observatory: Preliminary Results on Stochastic Gravitational-Wave Background
• The cross-correlation search for periodic gravitational waves
• First Cross-Correlation Analysis of Interferometric and Resonant-Bar Gravitational-Wave Data for Stochastic Backgrounds
• Prospects for Stochastic Background Searches Using Virgo and LSC Interferometers
• Optimal Networks of Future Gravitational-Wave Telescopes