Reconstructing the Primordial Spectrum with CMB Temperature and Polarization

Details Reconstructing the Primordial Spectrum with CMB Temperature and Polarization Reconstructing the Primordial Spectrum with CMB Temperature and Polarization

2004-09-02

arxiv.org/abs/astro-ph/0409052v1

Phys.Rev.D70:103001,2004

Astronomy and Astrophysics

Astrophysics

18 pages, 17 figures, submitted to PRD

Scientific paper

10.1103/PhysRevD.70.103001

We develop a new method to reconstruct the power spectrum of primordial curvature perturbations, $P(k)$, by using both the temperature and polarization spectra of the cosmic microwave background (CMB). We test this method using several mock primordial spectra having non-trivial features including the one with an oscillatory component, and find that the spectrum can be reconstructed with a few percent accuracy by an iterative procedure in an ideal situation in which there is no observational error in the CMB data. In particular, although the previous ``cosmic inversion'' method, which used only the temperature fluctuations, suffered from large numerical errors around some specific values of $k$ that correspond to nodes in a transfer function, these errors are found to disappear almost completely in the new method.

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