Improving the accuracy of mass reconstructions from weak lensing: local shear measurements

Details Improving the accuracy of mass reconstructions from weak lensing: local shear measurements Improving the accuracy of mass reconstructions from weak lensing: local shear measurements

1997-04-22

arxiv.org/abs/astro-ph/9704219v2

1998, A&A 300, 791

Astronomy and Astrophysics

Astrophysics

9 pages and 3 Postscript figures, uses A&A TeX macros. To be published in A&A

Scientific paper

Different options can be used in order to measure the shear from observations in the context of weak lensing. Here we introduce new methods where the isotropy assumption for the distribution of the source galaxies is implemented directly on the observed quadrupole moments. A quantitative analysis of the error associated with the finite number of source galaxies and with their ellipticity distribution is provided, applicable even when the shear is not weak. Monte Carlo simulations based on a realistic sample of source galaxies show that our procedure generally leads to errors ~30% smaller than those associated with the standard method of Kaiser and Squires (1993).

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