English

Sensitivity curves for spaceborne gravitational wave interferometers

General Relativity and Quantum Cosmology 2009-12-30 v2 Astrophysics

Abstract

To determine whether particular sources of gravitational radiation will be detectable by a specific gravitational wave detector, it is necessary to know the sensitivity limits of the instrument. These instrumental sensitivities are often depicted (after averaging over source position and polarization) by graphing the minimal values of the gravitational wave amplitude detectable by the instrument versus the frequency of the gravitational wave. This paper describes in detail how to compute such a sensitivity curve given a set of specifications for a spaceborne laser interferometer gravitational wave observatory. Minor errors in the prior literature are corrected, and the first (mostly) analytic calculation of the gravitational wave transfer function is presented. Example sensitivity curve calculations are presented for the proposed LISA interferometer. We find that previous treatments of LISA have underestimated its sensitivity by a factor of 3\sqrt{3}.

Keywords

Cite

@article{arxiv.gr-qc/9909080,
  title  = {Sensitivity curves for spaceborne gravitational wave interferometers},
  author = {Shane L. Larson and William A. Hiscock and Ronald W. Hellings},
  journal= {arXiv preprint arXiv:gr-qc/9909080},
  year   = {2009}
}

Comments

27 pages + 5 figures, REVTeX, accepted for publication in Phys Rev D; Update reflects referees comments, figure 3 clarified, figure 5 corrected for LISA baseline