CMB Tomography: Reconstruction of Adiabatic Primordial Scalar Potential Using Temperature and Polarization Maps

Abstract

Assuming linearity of the perturbations at the time of decoupling, we reconstruct the primordial scalar potential from the temperature and polarization anisotropies in the cosmic microwave background radiation. In doing so we derive an optimal linear filter which, when operated on the spherical harmonic coefficients of the anisotropy maps, returns an estimate of the primordial scalar potential fluctuations in a spherical slice. The reconstruction is best in a thick shell around the decoupling epoch; the quality of the reconstruction depends on the redshift of the slice within this shell. With high quality maps of the temperature and polarization anisotropies it will be possible to obtain a reconstruction of potential fluctuation on scales between l=2 and l ~ 300 at the redshift of decoupling, with some information about the three-dimensional shapes of the perturbations in a shell of width 250Mpc.

7 pages, 4 figures

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Cited by in corpus (17)

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• Pseudo-$C_{\ell }$ estimators which do not mix E and B modes
• Primordial Non-Gaussianity in the Cosmic Microwave Background
• Fast Estimator of Primordial Non-Gaussianity from Temperature and Polarization Anisotropies in the Cosmic Microwave Background II: Partial Sky Coverage and Inhomogeneous Noise
• Reconstruction of the remote dipole and quadrupole fields from the kinetic Sunyaev Zel'dovich and polarized Sunyaev Zel'dovich effects
• Temperature and Polarization CMB Maps from Primordial non-Gaussianities of the Local Type
• Non-Gaussianity from Large-Scale Structure Surveys
• The Signature of Patchy Reionization in the Polarization Anisotropy of the CMB
• Analyzing the cosmic variance limit of remote dipole measurements of the cosmic microwave background using the large-scale kinetic Sunyaev Zel'dovich effect
• CMB B-mode non-Gaussianity: optimal bispectrum estimator and Fisher forecasts
• Real space tomography of the primordial Universe with cluster polarization
• CMB power spectrum estimation with non-circular beam and incomplete sky coverage
• Probing local non-Gaussianities within a Bayesian framework
• Pattern of perturbations from a coherent quantum inflationary horizon
• Impact of Instrumental Systematics on the CMB Bispectrum
• All-sky reconstruction of the primordial scalar potential from WMAP temperature data