Separating E from B

Details Separating E from B Separating E from B

2003-05-30

arxiv.org/abs/astro-ph/0306003v1

Astronomy and Astrophysics

Astrophysics

To be published in the proceedings of "The Cosmic Microwave Background and its Polarization", New Astronomy Reviews, (eds. S.

Scientific paper

In a microwave background polarization map that covers only part of the sky, it is impossible to separate the E and B components perfectly. This difficulty in general makes it more difficult to detect the B component in a data set. Any polarization map can be separated in a unique way into "pure E," "pure B," and "ambiguous" components. Power that resides in the pure E (B) component is guaranteed to be produced by E (B) modes, but there is no way to tell whether the ambiguous component comes from E or B modes. A polarization map can be separated into the three components either by finding an orthonormal basis for each component, or directly in real space by using Green functions or other methods.

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