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- W1978010147 abstract "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. We 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. We 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 independent amplitudes, using only the response amplitudes of five wide-band detectors located in the same place. A monochromatic signal is assumed (e.g. coalescing binary). We give a simple linear expression for the components of the STF tensor that characterize the wave as a function of the detector responses. We then show how to solve for the wave's direction, polarization and amplitude from its STF tensor." @default.
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- W1978010147 date "1988-10-01" @default.
- W1978010147 modified "2023-10-18" @default.
- W1978010147 title "Astronomical observations with a network of detectors of gravitational waves – I. Mathematical framework and solution of the five detector problem" @default.
- W1978010147 doi "https://doi.org/10.1093/mnras/234.3.663" @default.
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