Stephen M Merkowitz et al 1999 Class. Quantum Grav. 16 3035 doi:10.1088/0264-9381/16/10/301
Errors on the inverse problem solution for a noisy spherical gravitational wave antenna
Stephen M Merkowitz
, J Alberto Lobo
and M Angeles Serrano
A single spherical antenna is capable of measuring the direction and polarization of a gravitational wave. It is possible to solve the inverse problem using only linear algebra even in the presence of noise. The simplicity of this solution enables one to explore the error on the solution using standard techniques. In this paper we derive the error on the direction and polarization measurements of a gravitational wave. We show that the solid angle error and the uncertainty on the wave amplitude are direction independent. We also discuss the possibility of determining the polarization amplitudes with isotropic sensitivity for any given gravitational wave source.
- PACS
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04.80.Nn Gravitational wave detectors and experiments
04.30.Db Wave generation and sources
- MSC
- Subjects
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Instrumentation and measurement
- Dates
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Issue 10 (October 1999)
Received 7 April 1999
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Errors on the inverse problem solution for a noisy spherical gravitational wave antenna
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