Astronomy and Astrophysics – Astrophysics
Scientific paper
2006-11-13
Mon.Not.Roy.Astron.Soc.375:625-632,2007
Astronomy and Astrophysics
Astrophysics
v2: references updated, v3: a typo corrected v9: a pdf file problem fixed
Scientific paper
10.1111/j.1365-2966.2006.11285.x
Interferometric observation of the CMB polarization can be expressed as a linear sum of spherical harmonic coefficients $a_{\pm 2,lm}$ of the CMB polarization. The linear weight for $a_{\pm 2,lm}$ depends on the observational configuration such as antenna pointing, baseline orientation, and spherical harmonic number $l,m$. Since an interferometer is sensitive over a finite range of multipoles, $a_{\pm 2,lm}$ in the range can be determined by fitting $a_{\pm 2,lm}$ for visibilities of various observational configurations. The formalism presented in this paper enables the determination of $a_{\pm 2,lm}$ directly from spherical harmonic spaces without spherical harmonic transformation of pixellized maps. The result of its application to a simulated observation is presented with the formalism.
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