Beam Window Functions

Beam window functions have computed with the Febecop Pipeline (as described here), and the QuickPol pipeline (see Hivon et al, 2017 ).

1. QuickPol effective beam window functions

The beam window functions relate, over the full sky or over a masked sky, the measured angular power spectrum (in the absence of noise) by a set of detectors, to the true underlying sky angular power spectrum (assumed to have isotropic statistical properties, as is the case for the CMB).

They are available in two forms:

• The beam window function

[math]b_{T}, b_{E}, b_{B},[/math]

such that

[math]C_{XX}^{map}(\ell) = b_{X}^2(\ell) w_{pix}(\ell)^2 C_{XX}^{sky}(\ell)[/math]

for X=T,E or B, in FITS files, in a format compatible with HEALPix tools such as synfast and smoothing, as well as with PolSpice

• Beam matrix