Journal Article

Weak lensing reconstruction through cosmic magnification – I. A minimal variance map reconstruction

Xinjuan Yang and Pengjie Zhang

in Monthly Notices of the Royal Astronomical Society

Published on behalf of The Royal Astronomical Society

Volume 415, issue 4, pages 3485-3496
Published in print August 2011 | ISSN: 0035-8711
Published online August 2011 | e-ISSN: 1365-2966 | DOI:
Weak lensing reconstruction through cosmic magnification – I. A minimal variance map reconstruction

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We present a concept study on weak lensing map reconstruction through the cosmic magnification effect in galaxy number density distribution. We propose a minimal variance linear estimator to minimize both the dominant systematic and statistical errors in the map reconstruction. It utilizes the distinctively different flux dependences to separate the cosmic magnification signal from the overwhelming galaxy intrinsic clustering noise. It also minimizes the shot noise error by an optimal weighting scheme on the galaxy number density in each flux bin. Our method is in principle applicable to all galaxy surveys with reasonable redshift information. We demonstrate its applicability against the planned Square Kilometer Array survey, under simplified conditions. Weak lensing maps reconstructed through our method are complementary to that from cosmic shear and cosmic microwave background (CMB) and 21-cm lensing. They are useful for cross-checking over systematic errors in weak lensing reconstruction and for improving cosmological constraints.

Keywords: gravitational lensing: weak; cosmology: theory; dark matter; large-scale structure of Universe

Journal Article.  7762 words.  Illustrated.

Subjects: Astronomy and Astrophysics

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