Density mapping with weak lensing and phase information

Rafał M. Szepietowski, David J. Bacon, Jörg P. Dietrich, Michael Busha, Risa Wechsler, Peter Melchior

Research output: Contribution to journalArticlepeer-review

14 Scopus citations


The available probes of the large-scale structure in the Universe have distinct properties: galaxies are a high resolution but biased tracer of mass, while weak lensing avoids such biases but, due to low signal-to-noise ratio, has poor resolution. We investigate reconstructing the projected density field using the complementarity of weak lensing and galaxy positions. We propose a maximum-probability reconstruction of the 2D lensing convergence with a likelihood term for shear data and a prior on the Fourier phases constructed from the galaxy positions. By considering only the phases of the galaxy field, we evade the unknown value of the bias and allow it to be calibrated by lensing on a mode-by-mode basis. By applying this method to a realistic simulated galaxy shear catalogue, we find that a weak prior on phases provides a good quality reconstruction down to scales beyond l = 1000, far into the noise domain of the lensing signal alone.

Original languageEnglish (US)
Pages (from-to)2191-2200
Number of pages10
JournalMonthly Notices of the Royal Astronomical Society
Issue number3
StatePublished - May 2014
Externally publishedYes

All Science Journal Classification (ASJC) codes

  • Astronomy and Astrophysics
  • Space and Planetary Science


  • Gravitational lensing: weak
  • Large-scale structure of Universe
  • Methods: data analysis


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