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Separation of the B component of a cosmic microwave background (CMB) polarization map from the much larger E component is an essential step in CMB polarimetry. For a map with incomplete sky coverage, this separation is necessarily hampered…

宇宙学与河外天体物理 · 物理学 2011-04-22 Emory F. Bunn

We describe a accurate and fast pixel-based statistical method to interpolate fields of arbitrary spin on the sphere. We call this method Fast and Lean Interpolation on the Sphere (FLINTS). The method predicts the optimal interpolated…

宇宙学与河外天体物理 · 物理学 2010-10-21 Guilhem Lavaux , Benjamin D. Wandelt

Separation of the E and B components of a microwave background polarization map or a weak lensing map is an essential step in extracting science from it, but when the map covers only part of the sky and/or is pixelized, this decomposition…

天体物理学 · 物理学 2009-10-07 Emory F. Bunn , Matias Zaldarriaga , Max Tegmark , Angelica de Oliveira-Costa

A new scheme of sky pixelization is developed for CMB maps. The scheme is based on the Gauss--Legendre polynomials zeros and allows one to create strict orthogonal expansion of the map. A corresponding code has been implemented and…

Szapudi et al (2001) introduced the method of estimating angular power spectrum of the CMB sky via heuristically weighted correlation functions. Part of the new technique is that all (co)variances are evaluated by massive Monte Carlo…

天体物理学 · 物理学 2007-05-23 I. Szapudi , S. Prunet , S. Colombi

Large data-sets defined on the sphere arise in many fields. In particular, recent and forthcoming observations of the anisotropies of the cosmic microwave background (CMB) made on the celestial sphere contain approximately three and fifty…

天体物理仪器与方法 · 物理学 2011-08-22 J. D. McEwen , Y. Wiaux , D. M. Eyers

Multiply connected space sections of the universe on a scale smaller than the horizon size can leave an imprint on cosmic microwave background polarization maps, in such a way that the so-called ``circles-in-the-sky'' method can be used to…

天体物理学 · 物理学 2007-05-23 Alain Riazuelo , Samuel Caillerie , Marc Lachièze-Rey , Roland Lehoucq , Jean-Pierre Luminet

We describe a new map-making code for cosmic microwave background (CMB) observations. It implements fast algorithms for convolution and transpose convolution of two functions on the sphere (Wandelt & G\'{o}rski 2001). Our code can account…

天体物理学 · 物理学 2009-11-10 Charmaine Armitage , Benjamin D. Wandelt

As confusion with lensing B-modes begins to limit experiments that search for primordial B-mode polarization, robust methods for delensing the CMB polarization sky are becoming increasingly important. We investigate in detail the…

宇宙学与河外天体物理 · 物理学 2015-08-19 Blake D. Sherwin , Marcel Schmittfull

We propose the implementation of an imaging telescope in combination with an inter-frequency calibrator to measure the spectral shape of the microwave sky by exploiting the differences in the sky intensity between multiple pairs of…

宇宙学与河外天体物理 · 物理学 2020-02-25 Suvodip Mukherjee , Joseph Silk , Benjamin D. Wandelt

Weak lensing of CMB anisotropies and polarization for the power spectra and higher order statistics can be handled directly in harmonic-space without recourse to real-space correlation functions. For the power spectra, this approach not…

天体物理学 · 物理学 2009-10-31 Wayne Hu

The Hierarchical Equal Area isoLatitude Pixelation (HEALPix) scheme is used extensively in astrophysics for data collection and analysis on the sphere. The scheme was originally designed for studying the Cosmic Microwave Background (CMB)…

数值分析 · 数学 2020-06-24 Kathryn P. Drake , Grady B. Wright

Based on realistic simulations, we propose an hybrid method to reconstruct the lensing potential power spectrum, directly on PLANCK-like CMB frequency maps. It implies using a large galactic mask and dealing with a strong inhomogeneous…

宇宙学与河外天体物理 · 物理学 2015-03-20 S. Plaszczynski , A. Lavabre , L. Perotto , J. -L. Starck

We present developing of method of the numerical analysis of polarization in the Gauss--Legendre Sky Pixelization (GLESP) scheme for the CMB maps. This incorporation of the polarization transforms in the pixelization scheme GLESP completes…

The presence of astrophysical emissions in microwave observations forces us to perform component separation to extract the Cosmic Microwave Background (CMB) signal. However, even in the most optimistic cases, there are still strongly…

宇宙学与河外天体物理 · 物理学 2024-09-26 C. Gimeno-Amo , E. Martínez-González , R. B. Barreiro

Precise measurement of the angular power spectrum of the Cosmic Microwave Background (CMB) temperature and polarization anisotropy can tightly constrain many cosmological models and parameters. However, accurate measurements can only be…

宇宙学与河外天体物理 · 物理学 2015-03-17 S. Mitra , G. Rocha , K. M. Górski , K. M. Huffenberger , H. K. Eriksen , M. A. J. Ashdown , C. R. Lawrence

The Cosmic Microwave Background (CMB) radiation offers a unique window into the early Universe, facilitating precise examinations of fundamental cosmological theories. However, the quest for detecting B-modes in the CMB, predicted by…

Estimation of the B-mode angular power spectrum of polarized anisotropies of the cosmic microwave background (CMB) is a key step towards a full exploitation of the scientific potential of this probe. In the context of pseudo-spectrum…

宇宙学与河外天体物理 · 物理学 2013-09-05 A. Ferte , J. Grain , M. Tristram , R. Stompor

CMB anisotropy experiments seeking to make maps with more pixels than the 6144 pixels used by the COBE DMR need to address the practical issues of the computer time and storage required to make maps. A simple, repetitive scan pattern…

天体物理学 · 物理学 2007-05-23 Edward L. Wright

Over the past decade, the gravitational lensing of the Cosmic Microwave Background (CMB) has become a powerful tool for probing the matter distribution in the Universe. The standard technique used to reconstruct the CMB lensing signal…

宇宙学与河外天体物理 · 物理学 2020-06-02 Boryana Hadzhiyska , Blake D. Sherwin , Mathew Madhavacheril , Simone Ferraro