The Galaxy Octopole Moment as a Probe of Weak Lensing Shear Fields

Details The Galaxy Octopole Moment as a Probe of Weak Lensing Shear Fields The Galaxy Octopole Moment as a Probe of Weak Lensing Shear Fields

2001-07-10

arxiv.org/abs/astro-ph/0107187v1

Astrophys.J.564:65,2002

Astronomy and Astrophysics

Astrophysics

9 pages, 2 PostScript figures; Submitted to Astrophysical Journal

Scientific paper

10.1086/324202

In this paper, we introduce the octopole moment of the light distribution in galaxies as a probe of the weak lensing shear field. While traditional ellipticity estimates of the local shear derived from the quadrupole moment are limited by the width of the intrinsic ellipticity distribution of background galaxies, the dispersion in the intrinsic octopole distribution is expected to be much smaller, implying that the signal from this higher order moment is ultimately limited by measurement noise, and not by intrinsic scatter. We present the computation of the octopole moment and show that current observations are at the regime where the octopole estimates will soon be able to contribute to the overall accuracy of the estimates of local shear fields. Therefore, the prospects for this estimator from future datasets like the Advanced Camera for Survey and the Next Generation Space Telescope are very promising.

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