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Nature of the E − B decomposition of CMB polarization

2001; American Physical Society; Volume: 64; Issue: 10 Linguagem: Inglês

10.1103/physrevd.64.103001

1538-4500

Matías Zaldarriaga,

Geomagnetism and Paleomagnetism Studies

We present a derivation of the transformation between the Q and U Stokes parameters and the E and B scalar and pseudoscalar fields. We emphasize the geometrical properties that such transformation must satisfy. We present the E and B decompositions of some simple maps and of a model for a supernova remnant. We discuss the relative amplitudes of the E and B components, and argue that for generic random maps E and B should have roughly the same amplitudes.