Antenna patterns of interferometric detectors of gravitational waves. II - Elliptically and randomly polarized waves

Details Antenna patterns of interferometric detectors of gravitational waves. II - Elliptically and randomly polarized waves Antenna patterns of interferometric detectors of gravitational waves. II - Elliptically and randomly polarized waves

Jun 1987

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1987mnras.226..829t&link_type=abstract

Monthly Notices of the Royal Astronomical Society (ISSN 0035-8711), vol. 226, June 15, 1987, p. 829-848. Research supported by t

Mathematics

Probability

5

Antenna Radiation Patterns, Elliptical Polarization, Gravitational Wave Antennas, Laser Interferometry, Virgo Galactic Cluster, Instrument Orientation, Linear Polarization, Plane Waves

Scientific paper

The antenna patterns and mean coincidence probabilities for laser interferometric gravitational wave antennas, deduced in a previous paper for linearly polarized gravitational waves, are generalized to the case of elliptical polarization. After deriving the formula for the single-detector antenna pattern eta appropriate for this situation, the mean coincidence probability for two interferometric gravitational wave detectors observing randomly polarized plane waves coming from sources located in the Virgo cluster or randomly distributed in the sky is calculated. By plotting these functions for several pairs of likely detector locations in the USA and Europe, it is found that the orientations of the instruments that maximize coincidence rates are essentially equal to those previously calculated for linearly polarized waves. The mean coincidence probabilities themselves are nearly 1.5 times the corresponding values for linear polarization.

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