Astronomical observations with a network of detectors of gravitational waves. I - Mathematical framework and solution of the five detector problem

Details Astronomical observations with a network of detectors of gravitational waves. I - Mathematical framework and solution of the five detector problem Astronomical observations with a network of detectors of gravitational waves. I - Mathematical framework and solution of the five detector problem

Oct 1988

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1988mnras.234..663d&link_type=abstract

Monthly Notices of the Royal Astronomical Society (ISSN 0035-8711), vol. 234, Oct. 1, 1988, p. 663-676. Research supported by th

Other

44

Antenna Radiation Patterns, Astronomical Observatories, Gravitational Wave Antennas, Laser Interferometry, Electromagnetic Radiation, Electromagnetic Spectra, Wave Functions

Scientific paper

Two different representations for the antenna pattern of Earth-based gravitational wave detectors (laser interferometers and bars) observing arbitrarily polarized waves are investigated in the long wavelength limit. The authors show that the response of a gravitational wave detector can be written either as a contraction between two symmetric trace-free (STF) tensors, one associated with the wave and the other with the detector, or as a linear combination of generalized spherical functions. They then apply this formalism to solve the simplest form of the 'inverse problem' for bursts: determining the direction of an incoming wave, the orientation of its polarization ellipse and the wave's two indepedent amplitudes.

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