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

Abstract

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.

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

References in corpus (9)

• Three Year Wilkinson Microwave Anisotropy Probe (WMAP) Observations: Polarization Analysis
• Polarization Observations with the Cosmic Background Imager
• CMB Polarization Systematics Due to Beam Asymmetry: Impact on Inflationary Science
• Systematic errors in cosmic microwave background polarization measurements
• Polarized CMB power spectrum estimation using the pure pseudo-cross-spectrum approach
• A general solution to the E-B mixing problem
• CMB E/B decomposition of incomplete sky: a pixel space approach
• Systematic Errors in Cosmic Microwave Background Interferometry
• Sensitivity of a Bolometric Interferometer to the CMB power spectrum