Reconstruction of the One-Point Distribution of Convergence from Weak Lensing by Large-Scale Structure

Weak-lensing measurements are starting to provide statistical maps of the distribution of matter in the universe that are increasingly precise and complementary to cosmic microwave background maps. The probability distribution function (PDF) provides a powerful tool to test non-Gaussian features in...

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Bibliographic Details
Published in:The Astrophysical journal 2005-12, Vol.635 (2), p.821-826, Article 821
Main Authors: Zhang, Tong-Jie, Pen, Ue-Li
Format: Article
Language:English
Subjects:
Astronomy
Earth, ocean, space
Exact sciences and technology
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Summary:Weak-lensing measurements are starting to provide statistical maps of the distribution of matter in the universe that are increasingly precise and complementary to cosmic microwave background maps. The probability distribution function (PDF) provides a powerful tool to test non-Gaussian features in the convergence field and to discriminate the different cosmological models. In this paper, we present a new PDF space Wiener filter approach to reconstruct the probability density function of the convergence from the noisy convergence field. We find that for parameters comparable to the CFHT Legacy Survey, the averaged PDF of the convergence in a 3 field can be reconstructed with an uncertainty of about 10%, although the pointwise PDF is noise dominated.
ISSN:0004-637X
1538-4357
DOI:10.1086/497568