Efficient decomposition of cosmic microwave background polarization maps into pure E, pure B, and ambiguous components

Details Efficient decomposition of cosmic microwave background polarization maps into pure E, pure B, and ambiguous components Efficient decomposition of cosmic microwave background polarization maps into pure E, pure B, and ambiguous components

2010-08-04

arxiv.org/abs/1008.0827v2

Phys.Rev.D83:083003,2011

Astronomy and Astrophysics

Astrophysics

Cosmology and Extragalactic Astrophysics

Minor changes to previous version. Accepted for publication in Phys. Rev. D

Scientific paper

10.1103/PhysRevD.83.083003

Separation of the B component of a cosmic microwave background (CMB) polarization map from the much larger E component is an essential step in CMB polarimetry. For a map with incomplete sky coverage, this separation is necessarily hampered by the presence of "ambiguous" modes which could be either E or B modes. I present an efficient pixel-space algorithm for removing the ambiguous modes and separating the map into "pure" E and B components. The method, which works for arbitrary geometries, does not involve generating a complete basis of such modes and scales the cube of the number of pixels on the boundary of the map.

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