publication . Article . Preprint . 2016

Wavelet reconstruction of E and B modes for CMB polarisation and cosmic shear analyses

Boris Leistedt;
Open Access
  • Published: 09 Dec 2016 Journal: Monthly Notices of the Royal Astronomical Society, volume 466, pages 3,728-3,740 (issn: 0035-8711, eissn: 1365-2966, Copyright policy)
  • Publisher: Oxford University Press (OUP)
  • Country: United Kingdom
We present new methods for mapping the curl-free (E-mode) and divergence-free (B-mode) components of spin 2 signals using spin directional wavelets. Our methods are equally applicable to measurements of the polarisation of the cosmic microwave background (CMB) and the shear of galaxy shapes due to weak gravitational lensing. We derive pseudo and pure wavelet estimators, where E-B mixing arising due to incomplete sky coverage is suppressed in wavelet space using scale- and orientation-dependent masking and weighting schemes. In the case of the pure estimator, ambiguous modes (which have vanishing curl and divergence simultaneously on the incomplete sky) are also ...
arXiv: Astrophysics::Cosmology and Extragalactic Astrophysics
free text keywords: Space and Planetary Science, Astronomy and Astrophysics, Astrophysics - Cosmology and Nongalactic Astrophysics, Wavelets, cosmic microwave background polarisation, cosmic shear, observational cosmology
Funded by
Understanding the Origin of Cosmic Structure
  • Funder: European Commission (EC)
  • Project Code: 306478
  • Funding stream: FP7 | SP2 | ERC
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