Errors 
on the inverse problem solution for 
a noisy spherical gravitational wave antenna

doi:10.1088/0264-9381/16/10/301

Errors on the inverse problem solution for a noisy spherical gravitational wave antenna

Stephen M Merkowitz et al 1999 Class. Quantum Grav. 16 3035-3046 doi: 10.1088/0264-9381/16/10/301

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Stephen M Merkowitz

, J Alberto Lobo

and M Angeles Serrano

Nuclear Physics Laboratory, University of Washington, Seattle, WA 98195-4290, USA
and
INFN Laboratori Nazionali di Frascati, Via Enrico Fermi 40, I-00044 Frascati, Rome, Italy

Departament de Física Fonamental, Universitat de Barcelona, Diagonal 647, 08028 Barcelona, Spain

Abstract. 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 numbers: 0480N, 9555Y, 0430N

Print publication: 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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