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We present a harmonic model for the data analysis of an all-sky cosmic microwave background survey, such as Planck, where the survey is obtained through ring-scans of the sky. In this model, resampling and pixelisation of the data are…

We present a formalism for analyzing a full-sky temperature and polarization map of the cosmic microwave background. Temperature maps are analyzed by expanding over the set of spherical harmonics to give multipole moments of the two-point…

天体物理学 · 物理学 2009-10-28 Marc Kamionkowski , Arthur Kosowsky , Albert Stebbins

A number of experiments for measuring anisotropies of the Cosmic Microwave Background use scanning strategies in which temperature fluctuations are measured along circular scans on the sky. It is possible, from a large number of such…

天体物理学 · 物理学 2009-10-30 J. Delabrouille , K. M. Górski , E. Hivon

The anisotropies of the cosmic microwave background are a gold mine for cosmology and fundamental physics. ESA's Planck satellite should soon extract all information from the temperature vein but will be limited concerning the measurement…

天体物理学 · 物理学 2007-05-23 F. R. Bouchet , A. Benoit , Ph. Camus , F. X. Desert , M. Piat , N. Ponthieu

Phases of the spherical harmonic analysis of full-sky cosmic microwave background (CMB) temperature data contain useful information complementary to the ubiquitous angular power spectrum. In this letter we present a new method of phase…

天体物理学 · 物理学 2009-11-16 Lung-Yih Chiang , Pavel D. Naselsky

Measurement of the angular power spectrum of the cosmic microwave background is most often based on a spherical harmonic analysis of the observed temperature anisotropies. Even if all-sky maps are obtained, however, it is likely that the…

天体物理学 · 物理学 2009-10-31 Daniel J. Mortlock , Anthony D. Challinor , Michael P. Hobson

Most cosmic microwave background experiments observe the sky along circular or near-circular scans on the celestial sphere. For such experiments, we show that simple linear systems connect the Fourier spectra of temperature and polarization…

宇宙学与河外天体物理 · 物理学 2021-08-25 Jia-Rui Li , Chunlong Li , Jie Jiang , Yi-Fu Cai , Jacques Delabrouille , Deliang Wu , Hong Li

Deep cosmic microwave background polarization experiments allow a very precise internal reconstruction of the gravitational lensing signal in pricinple. For this aim, likelihood-based or Bayesian methods are typically necessary, where very…

宇宙学与河外天体物理 · 物理学 2023-10-25 Martin Reinecke , Sebastian Belkner , Julien Carron

There is enormous potential to advance cosmology from statistical characterizations of cosmic microwave background sky maps. The angular power spectrum of the microwave anisotropy is a particularly important statistic. Existing algorithms…

天体物理学 · 物理学 2009-10-30 Siang Peng Oh , David N. Spergel , Gary Hinshaw

In this paper, we focus our attention on the following question: How well can we recover the power spectrum of the cosmic microwave background from the maps of a given experiment?. Each experiment is described by a a pixelization scale, a…

天体物理学 · 物理学 2016-08-15 D. Sáez , J. V. Arnau

Using the formalism of spin-weighted functions we present an all-sky analysis of polarization in the Cosmic Microwave Background (CMB). Linear polarization is a second-rank symmetric and traceless tensor, which can be decomposed on a sphere…

天体物理学 · 物理学 2009-10-28 Matias Zaldarriaga , Uros Seljak

Cosmic microwave background (CMB) anisotropy is our richest source of cosmological information; the standard cosmological model was largely established thanks to study of the temperature anisotropies. By the end of the decade, the Planck…

天体物理学 · 物理学 2009-11-11 James G. Bartlett

We introduce a simple yet powerful {\it analytic} method which obtains the structure of cosmic microwave background anisotropies to better than 5-10\% in temperature fluctuations on {\it all} scales. It is applicable to {\it any} model in…

天体物理学 · 物理学 2009-07-17 Wayne Hu , Naoshi Sugiyama

Much recent work on the cosmic microwave background (CMB) has focussed on the angular power spectrum of temperature anisotropies and particularly on the recovery of cosmological parameters from acoustic peaks in the power spectrum. However,…

天体物理学 · 物理学 2007-05-23 Marc Kamionkowski

Multi-frequency, high resolution, full sky measurements of the anisotropy in both temperature and polarisation of the cosmic microwave background radiation are the goals of the satellite missions MAP (NASA) and Planck (ESA). The ultimate…

天体物理学 · 物理学 2007-05-23 K. M. Gorski , E. Hivon , B. D. Wandelt

Polarization induced by cosmological scalar perturbations leads to a typical anisotropy pattern, which can best be analyzed in Fourier domain. This allows one to unambiguously distinguish cosmological signal of polarization from other…

天体物理学 · 物理学 2009-10-28 Uros Seljak

We present an overview of the upcoming Microwave Anisotropy Probe (MAP) mission, with an emphasis on those aspects of the mission that simplify the data analysis. The method used to make sky maps from the differential temperature data is…

天体物理学 · 物理学 2009-10-31 Gary Hinshaw

The statistics of the temperature anisotropies in the primordial cosmic microwave background radiation field provide a wealth of information for cosmology and for estimating cosmological parameters. An even more acute inference should stem…

天体物理仪器与方法 · 物理学 2009-11-13 J. L. Starck , Y. Moudden , J. Bobin

A major problem in Cosmic Microwave Background (CMB) anisotropy mapping, especially in a total-power mode, is the presence of low-frequency noise in the data streams. If unproperly processed, such low-frequency noise leads to striping in…

天体物理学 · 物理学 2009-10-31 B. Revenu , A. Kim , R. Ansari , F. Couchot , J. Delabrouille , J. Kaplan

The Microwave Anisotropy Probe (MAP) and Planck Surveyor satellites promise to provide accurate maps of the sky at a range of frequencies and angular scales, from which it will be possible to extract estimates for cosmological parameters.…

天体物理学 · 物理学 2007-05-23 Douglas Scott
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