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

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

1999-04-06

arxiv.org/abs/gr-qc/9904015v1

Class.Quant.Grav. 16 (1999) 3035-3046

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

13 pages, 4 figures, LaTeX2e, IOP style, submitted to CQG

Scientific paper

10.1088/0264-9381/16/10/301

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.

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