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Related papers: Towards ending the partial sky E-B ambiguity in CM…

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CMB polarization signal may be decomposed into gradient-like (E) and curl-like (B) mode. We have investigated E/B decomposition in pixel space. We find E/B mixing due to incomplete sky is localized in pixel-space, and negligible in the…

Cosmology and Nongalactic Astrophysics · Physics 2011-07-22 Jaiseung Kim , Pavel Naselsky

The detection of B-mode polarization in the CMB is one of the most important outstanding tests of inflationary cosmology. One of the necessary steps for extracting polarization information in the CMB is reducing contamination from so-called…

Cosmology and Nongalactic Astrophysics · Physics 2015-03-17 Jude Bowyer , Andrew H. Jaffe , Dmitri I. Novikov

One of the main goals of modern cosmology is to search for primordial gravitational waves by looking on their imprints in the B-type polarization in the cosmic microwave background radiation. However, this signal is contaminated by various…

Cosmology and Nongalactic Astrophysics · Physics 2017-01-25 Larissa Santos , Kai Wang , Yangrui Hu , Wenjuan Fang , Wen Zhao

Incomplete sky analysis of cosmic microwave background (CMB) polarization spectra poses a major problem of leakage between $E$- and $B$-modes. We present a machine learning approach to remove this $E$-to-$B$ leakage using a convolutional…

Cosmology and Nongalactic Astrophysics · Physics 2023-10-02 Srikanta Pal , Rajib Saha

We present efficient algorithms for CMB lensing simulation and power spectrum es- timation for flat-sky CMB polarization maps. We build a pure B-mode estimator to remedy E to B leakage due to partial sky coverage. We show that our…

Cosmology and Nongalactic Astrophysics · Physics 2013-11-14 Thibaut Louis , Sigurd Næss , Sudeep Das , Joanna Dunkley , Blake Sherwin

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…

Cosmology and Nongalactic Astrophysics · Physics 2013-09-05 A. Ferte , J. Grain , M. Tristram , R. Stompor

Measuring the imprint of primordial gravitational waves in the cosmic microwave background (CMB) polarisation field is one of the main goals in modern cosmology. However, the so called $B$-mode polarisation can be generated by different…

Cosmology and Nongalactic Astrophysics · Physics 2017-08-22 Larissa Santos , Wen Zhao

We investigate the E/B decomposition of CMB polarization on a masked sky. In real space, operators of E and B mode decomposition involve only differentials of CMB polarization. We may, therefore in principle, perform a clean E/B…

Cosmology and Nongalactic Astrophysics · Physics 2013-12-10 Jaiseung Kim

In observation of the cosmic microwave background (CMB) polarization, "$EB$~leakage" refers to the artificial $B$-mode signal coming from the leakage of $E$-mode signal when part of the sky is unavailable or excluded. Correction of such…

Cosmology and Nongalactic Astrophysics · Physics 2019-07-31 Hao Liu , James Creswell , Sebastian von Hausegger , Pavel Naselsky

We study the problem of EB-leakage that is associated with incomplete polarized CMB sky. In the blind case that assumes no additional information about the statistical properties and amplitudes of the signal from the missing sky region, we…

Cosmology and Nongalactic Astrophysics · Physics 2019-05-01 Hao Liu , James Creswell , Konstantina Dachlythra

We extend the pure pseudo-power-spectrum formalism proposed recently in the context of the Cosmic Microwave Background polarized power spectra estimation by Smith (2006) to incorporate cross-spectra computed for multiple maps of the same…

Cosmology and Nongalactic Astrophysics · Physics 2009-07-09 J. Grain , M. Tristram , R. Stompor

Detailed measurements of the CMB lensing signal are an important scientific goal of ongoing ground-based CMB polarization experiments, which are mapping the CMB at high resolution over small patches of the sky. In this work we simulate CMB…

Cosmology and Nongalactic Astrophysics · Physics 2014-07-30 Ruth Pearson , Blake Sherwin , Antony Lewis

We present a method for measuring CMB polarization power spectra given incomplete sky coverage and test it with simulated examples such as Boomerang 2001 and MAP. By augmenting the quadratic estimator method with an additional step, we find…

Astrophysics · Physics 2009-10-07 Max Tegmark , Angelica de Oliveira-Costa

We study a strategy to determine miscalibrated polarization angles of cosmic microwave background (CMB) experiments using the observed $EB$ polarization power spectra of CMB and Galactic foreground emission. We apply the methodology of…

Cosmology and Nongalactic Astrophysics · Physics 2020-06-30 Yuto Minami

Multi-frequency observations are needed to separate the CMB from foregrounds and accurately extract cosmological information from the data. The Analytical Blind Separation (ABS) method is dedicated to extracting the CMB power spectrum from…

Cosmology and Nongalactic Astrophysics · Physics 2021-03-22 Larissa Santos , Jian Yao , Le Zhang , Shamik Ghosh , Pengjie Zhang , Wen Zhao , Thyrso Villela , Jiming Chen , Jacques Delabrouille

Detection of magnetic-type ($B$-type) polarization in the Cosmic Microwave Background (CMB) radiation plays a crucial role in probing the relic gravitational wave (RGW) background. In this paper, we propose a new method to deconstruct a…

Cosmology and Nongalactic Astrophysics · Physics 2015-03-17 Wen Zhao , Deepak Baskaran

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…

Astrophysics · Physics 2009-10-07 Emory F. Bunn , Matias Zaldarriaga , Max Tegmark , Angelica de Oliveira-Costa

In this paper we estimate diffuse foreground minimized Cosmic Microwave Background (CMB) Stokes Q and U polarization maps based upon the fundamental concept of Gaussian nature of CMB and strong non-Gaussian nature of astrophysical polarized…

Cosmology and Nongalactic Astrophysics · Physics 2017-07-10 Ujjal Purkayastha , Rajib Saha

Recovering the polarized cosmic microwave background (CMB) is essential for shedding light on the exponential expansion of the very early Universe, known as cosmic inflation. Achieving this goal requires not only improved instrumental…

Cosmology and Nongalactic Astrophysics · Physics 2025-09-18 J. M. Casas , L. Bonavera , J. González-Nuevo , G. Puglisi , C. Baccigalupi , S. R. Cabo , M. M. Cueli , D. Crespo , C. González-Gutiérrez , F. J. de Cos

Although it has previously been recognized that the CMB polarization measurement on a sky ring is able to separate the B and E-mode patterns, we show that the rotational symmetry of the CMB polarization measurement is indeed unique, in that…

Astrophysics · Physics 2009-11-06 Tzihong Chiueh , Cheng-Jiun Ma
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