Abstract
We describe the weak lensing methodology we have applied to multi-colour CFH12k imaging of a homogeneously- selected sample of luminous X-ray clusters at z ∼ 0.2. The aim of our survey is to understand the variation in cluster structure and dark matter profile within rich clusters. The method we describe converts a fully reduced CFH12k image into constraints on the cluster mass distribution in two steps: (1) determination of the true shape of faint (lensed) galaxies, including object detection, point spread function (PSF) determination, galaxy shape measurement with errors; (2) conversion of the faint galaxy catalogue into reliable mass constraints using a range of 1D and 2D lensing techniques. Mass estimates are derived indepen- dently from each of the three images taken in separate filters to quantify the systematic uncertainties. Finally, we compare the cluster mass model to the light distribution of cluster members as derived from our imaging data. To illustrate the method, we apply it to the well-studied cluster Abell 1689 (z = 0.184). In this cluster, we detect the gravitational shear signal out to ∼ 3M pc at >3-σ significance. The two-dimensional mass reconstruction has a ∼10-σ significance peak centered on the brightest clus- ter galaxy. The weak lensing profile is well fitted by a NFW mass profile with M200 = 14.1 +6.3 −4.7 × 10 14 M
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