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CMB lensing reconstruction in real space
Bucher M., Carvalho C.S., Moodley K., Remazeilles M.
Physical Review D 85 (2012) 043016 - http://hal.archives-ouvertes.fr/hal-00739524
Planète et Univers/Astrophysique/Cosmologie et astrophysique extra-galactique
Physique/Astrophysique/Cosmologie et astrophysique extra-galactique
CMB lensing reconstruction in real space
M. Bucher1, 2, C.S. Carvalho, K. Moodley, M. Remazeilles1, 2
1 :  APC - UMR 7164 - AstroParticule et Cosmologie
CNRS : UMR7164 – IN2P3 – Observatoire de Paris – Université Paris VII - Paris Diderot – CEA : DSM/IRFU
APC - UMR 7164, Université Paris Diderot, 10 rue Alice Domon et Léonie Duquet, case postale 7020, F-75205 Paris Cedex 13
2 :  LPT - Laboratoire de Physique Théorique d'Orsay
CNRS : UMR8627 – Université Paris XI - Paris Sud
Bâtiment 210 Université Paris XI 91405 Orsay Cedex
APC - Cosmologie et Gravitation
We explore the reconstruction of the gravitational lensing field of the cosmic microwave background in real space. We show that very little statistical information is lost when estimators of short range on the celestial sphere are used in place of the customary estimators in harmonic space, which are nonlocal and in principle require a simultaneous analysis of the entire sky without any cuts or excisions. Because virtually all the information relevant to lensing reconstruction lies on angular scales close to the resolution scale of the sky map, the gravitational lensing convergence and shear fields (which unlike the deflection field or lensing potential are directly related to the observations in a local manner) may be reconstructed by means of quadratic combinations involving only closely separated pixels. Even though harmonic space provides a more natural context for understanding lensing reconstruction theoretically, the real space methods developed here have the virtue of being faster to implement and are likely to prove useful for analyzing realistic maps containing a galactic cut and possibly numerous small excisions to exclude point sources that cannot be reliably subtracted.

Physical Review D (Phys. Rev. D)
Publisher American Physical Society
ISSN 1550-7998 (eISSN : 1550-2368)
Articles dans des revues avec comité de lecture

Background radiations
21 pages, 8 figures

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