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Mapping the dark matter with weak gravitational lensing

Jun 8, 1992
12 pages
Published in:
  • Astrophys.J. 404 (1993) 441-450
DOI:
Report number:
  • CITA-92-12
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Abstract: (ADS)
We consider the problem of reconstructing the projected mass distribution in clusters from coherent distortions of background galaxies. The ellipticity of a background galaxy provides an estimate of the trace-free components of the tidal field. We present a technique for inverting this problem. The resulting surface density contains a strong, but incoherent, random component arising from the random intrinsic galaxy ellipticities. This can be removed by filtering. Our method is very similar in form to that of Tyson et al. (1990), and the latter is given a rigorous interpretation as a particular implementation of filtering. We present simulations to illustrate the application of the method.