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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 a derivation of the transformation between the Q and U Stokes parameters and the E and B scalar and pseudo-scalar fields. We emphasize the geometrical properties that such transformation must satisfy. We present the E and B…

Astrophysics · Physics 2009-11-06 Matias Zaldarriaga

In order to extract cosmological information from observations of the millimeter and submillimeter sky, foreground components must first be removed to produce an estimate of the cosmic microwave background (CMB). We developed a…

Cosmology and Nongalactic Astrophysics · Physics 2020-11-10 Matthew A. Petroff , Graeme E. Addison , Charles L. Bennett , Janet L. Weiland

If the linear polarization of the cosmic microwave background (CMB) is rotated in a frequency-independent manner as it propagates from the surface of last scatter, it may introduce a B-mode polarization. Here I show that measurement of…

Astrophysics · Physics 2009-04-08 Marc Kamionkowski

The secondary cosmic microwave background (CMB) $B$-modes stem from the post-decoupling distortion of the polarization $E$-modes due to the gravitational lensing effect of large-scale structures. These lensing-induced $B$-modes constitute…

Cosmology and Nongalactic Astrophysics · Physics 2016-12-14 Planck Collaboration , P. A. R. Ade , N. Aghanim , M. Ashdown , J. Aumont , C. Baccigalupi , A. J. Banday , R. B. Barreiro , N. Bartolo , S. Basak , E. Battaner , K. Benabed , A. Benoit-Lévy , J. -P. Bernard , M. Bersanelli , P. Bielewicz , J. J. Bock , A. Bonaldi , L. Bonavera , J. R. Bond , J. Borrill , F. R. Bouchet , F. Boulanger , C. Burigana , R. C. Butler , E. Calabrese , J. -F. Cardoso , A. Catalano , H. C. Chiang , P. R. Christensen , D. L. Clements , S. Colombi , L. P. L. Colombo , C. Combet , B. P. Crill , A. Curto , F. Cuttaia , L. Danese , R. J. Davis , P. de Bernardis , G. de Zotti , J. Delabrouille , C. Dickinson , J. M. Diego , O. Doré , A. Ducout , X. Dupac , F. Elsner , T. A. Enßlin , H. K. Eriksen , F. Finelli , O. Forni , M. Frailis , A. A. Fraisse , E. Franceschi , S. Galeotta , S. Galli , K. Ganga , T. Ghosh , M. Giard , Y. Giraud-Héraud , E. Gjerløw , J. González-Nuevo , K. M. Górski , A. Gruppuso , J. E. Gudmundsson , D. L. Harrison , C. Hernández-Monteagudo , D. Herranz , S. R. Hildebrandt , A. Hornstrup , W. Hovest , G. Hurier , A. H. Jaffe , W. C. Jones , E. Keihänen , R. Keskitalo , T. S. Kisner , J. Knoche , L. Knox , M. Kunz , H. Kurki-Suonio , G. Lagache , A. Lähteenmäki , J. -M. Lamarre , A. Lasenby , M. Lattanzi , R. Leonardi , F. Levrier , P. B. Lilje , M. Linden-Vørnle , M. López-Caniego , P. M. Lubin , J. F. Macías-Pérez , B. Maffei , G. Maggio , D. Maino , N. Mandolesi , A. Mangilli , M. Maris , P. G. Martin , E. Martínez-González , S. Masi , S. Matarrese , P. R. Meinhold , A. Melchiorri , A. Mennella , M. Migliaccio , S. Mitra , M. -A. Miville-Deschênes , A. Moneti , L. Montier , G. Morgante , D. Mortlock , A. Moss , D. Munshi , J. A. Murphy , P. Naselsky , F. Nati , P. Natoli , C. B. Netterfield , H. U. Nørgaard-Nielsen , D. Novikov , I. Novikov , L. Pagano , F. Pajot , D. Paoletti , F. Pasian , G. Patanchon , O. Perdereau , L. Perotto , V. Pettorino , F. Piacentini , M. Piat , E. Pierpaoli , E. Pointecouteau , G. Polenta , G. W. Pratt , J. P. Rachen , M. Reinecke , M. Remazeilles , C. Renault , A. Renzi , I. Ristorcelli , G. Rocha , C. Rosset , M. Rossetti , G. Roudier , J. A. Rubiño-Martín , B. Rusholme , M. Sandri , D. Santos , M. Savelainen , G. Savini , D. Scott , L. D. Spencer , V. Stolyarov , R. Stompor , R. Sudiwala , R. Sunyaev , D. Sutton , A. -S. Suur-Uski , J. -F. Sygnet , J. A. Tauber , L. Terenzi , L. Toffolatti , M. Tomasi , M. Tristram , M. Tucci , J. Tuovinen , L. Valenziano , J. Valiviita , B. Van Tent , P. Vielva , F. Villa , L. A. Wade , B. D. Wandelt , I. K. Wehus , D. Yvon , A. Zacchei , A. Zonca

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

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…

Astrophysics · Physics 2009-10-31 Daniel J. Mortlock , Anthony D. Challinor , Michael P. Hobson

We show that the cosmic birefringence and miscalibrated polarisation angles can be determined simultaneously by cosmic microwave background (CMB) experiments using the cross-correlation between $E$- and $B$-mode polarisation data. This is…

Cosmology and Nongalactic Astrophysics · Physics 2019-04-30 Yuto Minami , Hiroki Ochi , Kiyotomo Ichiki , Nobuhiko Katayama , Eiichiro Komatsu , Tomotake Matsumura

Better understanding of Galactic foregrounds is one of the main obstacles to detection of primordial gravitational waves through measurement of the B mode in the polarized microwave sky. We generalize the method proposed in…

Cosmology and Nongalactic Astrophysics · Physics 2018-11-09 Hao Liu , James Creswell , Pavel Naselsky

The scalar mode polarization of the cosmic microwave background is derived in a spatially closed universe from the Boltzmann equation using the line of sight integral method. The EE and TE multipole coefficients have been extracted…

Cosmology and Nongalactic Astrophysics · Physics 2018-01-10 Pedram Niazy , Amir H. Abbassi

Mechanisms have been proposed that might rotate the linear polarization of the cosmic microwave background (CMB) as it propagates from the surface of last scatter. In the simplest scenario, the rotation will be uniform across the sky, but…

Cosmology and Nongalactic Astrophysics · Physics 2009-09-02 Vera Gluscevic , Marc Kamionkowski , Asantha Cooray

The successful European Space Agency (ESA) Planck mission has mapped the Cosmic Microwave Background (CMB) temperature anisotropy with unprecedented accuracy. However, Planck was not designed to detect the polarised components of the CMB…

Instrumentation and Methods for Astrophysics · Physics 2014-10-01 G. Pisano , B. Maffei , M. W. Ng , V. Haynes , M. Brown , F. Noviello , P. de Bernardis , S. Masi , F. Piacentini , L. Pagano , M. Salatino , B. Ellison , M. Henry , P. de Maagt , B. Shortt

Planck has mapped the microwave sky in nine frequency bands between 30 and 857 GHz in temperature and seven bands between 30 and 353 GHz in polarization. In this paper we consider the problem of diffuse astrophysical component separation,…

Cosmology and Nongalactic Astrophysics · Physics 2016-09-28 Planck Collaboration , R. Adam , P. A. R. Ade , N. Aghanim , M. I. R. Alves , M. Arnaud , M. Ashdown , J. Aumont , C. Baccigalupi , A. J. Banday , R. B. Barreiro , J. G. Bartlett , N. Bartolo , E. Battaner , K. Benabed , A. Benoît , A. Benoit-Lévy , J. -P. Bernard , M. Bersanelli , P. Bielewicz , A. Bonaldi , L. Bonavera , J. R. Bond , J. Borrill , F. R. Bouchet , F. Boulanger , M. Bucher , C. Burigana , R. C. Butler , E. Calabrese , J. -F. Cardoso , A. Catalano , A. Challinor , A. Chamballu , R. -R. Chary , H. C. Chiang , P. R. Christensen , D. L. Clements , S. Colombi , L. P. L. Colombo , C. Combet , F. Couchot , A. Coulais , B. P. Crill , A. Curto , F. Cuttaia , L. Danese , R. D. Davies , R. J. Davis , P. de Bernardis , A. de Rosa , G. de Zotti , J. Delabrouille , F. -X. Désert , C. Dickinson , J. M. Diego , H. Dole , S. Donzelli , O. Doré , M. Douspis , A. Ducout , X. Dupac , G. Efstathiou , F. Elsner , T. A. Enßlin , H. K. Eriksen , E. Falgarone , J. Fergusson , F. Finelli , O. Forni , M. Frailis , A. A. Fraisse , E. Franceschi , A. Frejsel , S. Galeotta , S. Galli , K. Ganga , T. Ghosh , M. Giard , Y. Giraud-Héraud , E. Gjerløw , J. González-Nuevo , K. M. Górski , S. Gratton , A. Gregorio , A. Gruppuso , J. E. Gudmundsson , F. K. Hansen , D. Hanson , D. L. Harrison , G. Helou , S. Henrot-Versillé , C. Hernández-Monteagudo , D. Herranz , S. R. Hildebrandt , E. Hivon , M. Hobson , W. A. Holmes , A. Hornstrup , W. Hovest , K. M. Huffenberger , G. Hurier , A. H. Jaffe , T. R. Jaffe , W. C. Jones , M. Juvela , E. Keihänen , R. Keskitalo , T. S. Kisner , R. Kneissl , J. Knoche , M. Kunz , H. Kurki-Suonio , G. Lagache , A. Lähteenmäki , J. -M. Lamarre , A. Lasenby , M. Lattanzi , C. R. Lawrence , M. Le Jeune , J. P. Leahy , R. Leonardi , J. Lesgourgues , F. Levrier , M. Liguori , P. B. Lilje , M. Linden-Vørnle , M. López-Caniego , P. M. Lubin , J. F. Macías-Pérez , G. Maggio , D. Maino , N. Mandolesi , A. Mangilli , D. J. Marshall , P. G. Martin , E. Martínez-González , S. Masi , S. Matarrese , P. Mazzotta , P. McGehee , P. R. Meinhold , A. Melchiorri , L. Mendes , A. Mennella , M. Migliaccio , S. Mitra , M. -A. Miville-Deschênes , A. Moneti , L. Montier , G. Morgante , D. Mortlock , A. Moss , D. Munshi , J. A. Murphy , P. Naselsky , F. Nati , P. Natoli , C. B. Netterfield , H. U. Nørgaard-Nielsen , F. Noviello , D. Novikov , I. Novikov , E. Orlando , C. A. Oxborrow , F. Paci , L. Pagano , F. Pajot , R. Paladini , D. Paoletti , B. Partridge , F. Pasian , G. Patanchon , T. J. Pearson , O. Perdereau , L. Perotto , F. Perrotta , V. Pettorino , F. Piacentini , M. Piat , E. Pierpaoli , D. Pietrobon , S. Plaszczynski , E. Pointecouteau , G. Polenta , G. W. Pratt , G. Prézeau , S. Prunet , J. -L. Puget , J. P. Rachen , W. T. Reach , R. Rebolo , M. Reinecke , M. Remazeilles , C. Renault , A. Renzi , I. Ristorcelli , G. Rocha , C. Rosset , M. Rossetti , G. Roudier , J. A. Rubiño-Martín , B. Rusholme , M. Sandri , D. Santos , M. Savelainen , G. Savini , D. Scott , M. D. Seiffert , E. P. S. Shellard , L. D. Spencer , V. Stolyarov , R. Stompor , A. W. Strong , R. Sudiwala , R. Sunyaev , D. Sutton , A. -S. Suur-Uski , J. -F. Sygnet , J. A. Tauber , L. Terenzi , L. Toffolatti , M. Tomasi , M. Tristram , M. Tucci , J. Tuovinen , G. Umana , L. Valenziano , J. Valiviita , B. Van Tent , P. Vielva , F. Villa , L. A. Wade , B. D. Wandelt , I. K. Wehus , A. Wilkinson , D. Yvon , A. Zacchei , A. Zonca

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…

Cosmology and Nongalactic Astrophysics · Physics 2024-09-26 C. Gimeno-Amo , E. Martínez-González , R. B. Barreiro

In this work I study the problem of E/B-mode separation with binned cosmic shear two-point correlation function data. Motivated by previous work on E/B-mode separation with shear two-point correlation functions and the practical…

Cosmology and Nongalactic Astrophysics · Physics 2015-06-05 Matthew R. Becker

We briefly review our work about the polarized foreground contamination of the Cosmic Microwave Background maps. We start by summarizing the main properties of the polarized cosmological signal, resulting in "electric" (E) and "magnetic"…

Astrophysics · Physics 2014-10-13 Carlo Baccigalupi , Gianfranco De Zotti , Carlo Burigana , Francesca Perrotta

A crucial problem for partial sky analysis of CMB polarization is the $E$-$B$ leakage problem. Such leakage arises from the presence of `ambiguous' modes that satisfy properties of both $E$ and $B$ modes. Solving this problem is critical…

Cosmology and Nongalactic Astrophysics · Physics 2021-03-03 Shamik Ghosh , Jacques Delabrouille , Wen Zhao , Larissa Santos

Characterizing the sub-mm Galactic emission has become increasingly critical especially in identifying and removing its polarized contribution from the one emitted by the Cosmic Microwave Background (CMB). In this work, we present a…

Cosmology and Nongalactic Astrophysics · Physics 2022-01-19 Giuseppe Puglisi , Gueorgui Mihaylov , Georgia V. Panopoulou , Davide Poletti , Josquin Errard , Paola A. Puglisi , Giacomo Vianello

Background Imaging of Cosmic Extragalactic Polarization (BICEP) is a bolometric polarimeter designed to measure the inflationary B-mode polarization of the cosmic microwave background (CMB) at degree angular scales. During three seasons of…

We analyze the instrumental polarization generated by the antenna system (optics and feed horn) due to the unpolarized sky emission. Our equations show that it is given by the convolution of the unpolarized emission map $T_b(\theta, \phi)$…

Astrophysics · Physics 2007-05-23 E. Carretti , S. Cortiglioni , C. Sbarra , R. Tascone