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A new method is proposed to divide a spherical surface into equal-area cells. The method is based on dividing a sphere into several latitudinal bands of near-constant span with further division of each band into equal-area cells. It is…

Instrumentation and Methods for Astrophysics · Physics 2019-05-08 Zinovy Malkin

We consider wavelets as a tool to perform a variety of tasks in the context of analyzing cosmic microwave background (CMB) maps. Using Spherical Haar Wavelets we define a position and angular-scale-dependent measure of power that can be…

Astrophysics · Physics 2009-10-31 L. Tenorio , A. H. Jaffe , S. Hanany , C. H. Lineweaver

A new method SREAG (spherical rectangular equal-area grid) is proposed to divide a spherical surface into equal-area cells. The method is based on dividing a sphere into latitudinal rings of near-constant width with further splitting each…

Instrumentation and Methods for Astrophysics · Physics 2026-04-22 Zinovy Malkin

High fidelity separation of astrophysical foreground contributions from the cosmic microwave background (CMB) signal has been recognized as one of the main challenges of modern CMB data analysis, and one which needs to be addressed in a…

Cosmology and Nongalactic Astrophysics · Physics 2024-11-19 Magdy Morshed , Arianna Rizzieri , Clément Leloup , Josquin Errard , Radek Stompor

We evaluate the contribution of cosmic microwave background (CMB) polarization spectra to cosmological parameter constraints. We produce cosmological parameters using high-quality CMB polarization data from the ground-based QUaD experiment…

The blackbody nature of the cosmic microwave background (CMB) radiation spectrum is used in a modern test of the Copernican Principle. The reionized universe serves as a mirror to reflect CMB photons, thereby permitting a view of ourselves…

Astrophysics · Physics 2009-06-23 R. R. Caldwell , A. Stebbins

The sky-averaged Compton-$y$ distortion in the cosmic microwave background (CMB) energy spectrum, $\langle y \rangle$, provides information about energy injection in the Universe occurring at $z \lesssim 5\times10^{4}$. It is primarily…

Cosmology and Nongalactic Astrophysics · Physics 2025-08-07 Alina Sabyr , Giulio Fabbian , J. Colin Hill , Federico Bianchini

In this work we present an extension of the ROMA map-making code for data analysis of Cosmic Microwave Background polarization, with particular attention given to the inflationary polarization B-modes. The new algorithm takes into account a…

Cosmology and Nongalactic Astrophysics · Physics 2016-04-08 Alessandro Buzzelli , Paolo Cabella , Giancarlo de Gasperis , Nicola Vittorio

Scattering of cosmic microwave background (CMB) radiation in galaxy clusters induces a polarization signal proportional to the CMB quadrupole anisotropy at the cluster's location and look-back time. A survey of such remote quadrupole…

Astrophysics · Physics 2007-05-23 Emory F. Bunn

In addition to its spectrum and temperature anisotropy, the 2.7K Cosmic Microwave Background is also expected to exhibit a low level of polarization. The spatial power spectrum of the polarization can provide details about the formation of…

Astrophysics · Physics 2009-10-30 Brian Keating , Peter Timbie , Alexander Polnarev , Julia Steinberger

I present a new algorithm, CALCLENS, for efficiently computing weak gravitational lensing shear signals from large N-body light cone simulations over a curved sky. This new algorithm properly accounts for the sky curvature and boundary…

Cosmology and Nongalactic Astrophysics · Physics 2012-10-15 Matthew R. Becker

We describe an algorithm for the extraction of the angular power spectrum of an intensity field, such as the cosmic microwave background (CMB), from interferometer data. This new method, based on the gridding of interferometer visibilities…

A method to compute several scalar quantities of Cosmic Microwave Background maps on the sphere is presented. We consider here four type of scalars: the Hessian matrix scalars, the distortion scalars, the gradient related scalars and the…

Astrophysics · Physics 2009-11-13 C. Monteserin , R. B. Barreiro , J. L. Sanz , E. Martinez-Gonzalez

Gravitational lensing of the cosmic microwave background (CMB) polarization field has been recognized as a potentially valuable probe of the cosmological density field. We apply likelihood-based techniques to the problem of lensing of CMB…

Astrophysics · Physics 2011-06-21 Christopher M. Hirata , Uros Seljak

This work introduces an unbiased minimum variance painting of the pixel domain CMB maps for both the missing and available sky regions. In the missing region, it generates CMB realizations that have identical statistical properties to the…

Cosmology and Nongalactic Astrophysics · Physics 2021-07-14 Hao Liu

A new spin wavelet transform on the sphere is proposed to analyse the polarisation of the cosmic microwave background (CMB), a spin $\pm 2$ signal observed on the celestial sphere. The scalar directional scale-discretised wavelet transform…

Instrumentation and Methods for Astrophysics · Physics 2014-12-04 Jason D. McEwen , Martin Büttner , Boris Leistedt , Hiranya V. Peiris , Pierre Vandergheynst , Yves Wiaux

Sphere-bases are constructed for the $\mathbb{Z}_2$ vector space formed by the $k$-dimensional subcomplexes, of $n$-simplex (or $n$-cube), for which every $(k{-}1)$-face is contained in a positive even number of $k$-cells; addition is…

Combinatorics · Mathematics 2023-03-15 Paul C. Kainen

Bolometric interferometry is a novel technique that has the ability to perform spectral imaging. A bolometric interferometer observes the sky in a wide frequency band and can reconstruct sky maps in several sub-bands within the physical…

Instrumentation and Methods for Astrophysics · Physics 2022-04-27 L. Mousset , M. M. Gamboa Lerena , E. S. Battistelli , P. de Bernardis , P. Chanial , G. D'Alessandro , G. Dashyan , M. De Petris , L. Grandsire , J. -Ch. Hamilton , F. Incardona , S. Landau , S. Marnieros , S. Masi , A. Mennella , C. O'Sullivan , M. Piat , G. Ricciardi , C. G. Scóccola , M. Stolpovskiy , A. Tartari , J. -P. Thermeau , S. A. Torchinsky , F. Voisin , M. Zannoni , P. Ade , J. G. Alberro , A. Almela , G. Amico , L. H. Arnaldi , D. Auguste , J. Aumont , S. Azzoni , S. Banfi , B. Bélier , A. Baù , D. Bennett , L. Bergé , J. -Ph. Bernard , M. Bersanelli , M. -A. Bigot-Sazy , J. Bonaparte , J. Bonis , E. Bunn , D. Burke , D. Buzi , F. Cavaliere , C. Chapron , R. Charlassier , A. C. Cobos Cerutti , F. Columbro , A. Coppolecchia , G. De Gasperis , M. De Leo , S. Dheilly , C. Duca , L. Dumoulin , A. Etchegoyen , A. Fasciszewski , L. P. Ferreyro , D. Fracchia , C. Franceschet , K. M. Ganga , B. García , M. E. García Redondo , M. Gaspard , D. Gayer , M. Gervasi , M. Giard , V. Gilles , Y. Giraud-Heraud , M. Gómez Berisso , M. González , M. Gradziel , M. R. Hampel , D. Harari , S. Henrot-Versillé , E. Jules , J. Kaplan , C. Kristukat , L. Lamagna , S. Loucatos , T. Louis , B. Maffei , W. Marty , A. Mattei , A. May , M. McCulloch , L. Mele , D. Melo , L. Montier , L. M. Mundo , J. A. Murphy , J. D. Murphy , F. Nati , E. Olivieri , C. Oriol , A. Paiella , F. Pajot , A. Passerini , H. Pastoriza , A. Pelosi , C. Perbost , M. Perciballi , F. Pezzotta , F. Piacentini , L. Piccirillo , G. Pisano , M. Platino , G. Polenta , D. Prêle , R. Puddu , D. Rambaud , E. Rasztocky , P. Ringegni , G. E. Romero , J. M. Salum , A. Schillaci , S. Scully , S. Spinelli , G. Stankowiak , A. D. Supanitsky , P. Timbie , M. Tomasi , G. Tucker , C. Tucker , D. Viganò , N. Vittorio , F. Wicek , M. Wright , A. Zullo

The B-mode polarisation power spectrum in the Cosmic Microwave Background (CMB) is about four orders of magnitude fainter than the CMB temperature power spectrum. Any instrumental imperfections that couple temperature fluctuations to B-mode…

Cosmology and Nongalactic Astrophysics · Physics 2017-01-18 Christopher G. R. Wallis , Michael L. Brown , Richard A. Battye , Jacques Delabrouille

We present a novel method for Cosmic Microwave Background (CMB) foreground removal based on deep learning techniques. This method employs a Transformer model, referred to as \texttt{TCMB}, which is specifically designed to effectively…

Cosmology and Nongalactic Astrophysics · Physics 2025-10-09 Ye-Peng Yan , Si-Yu Li , Yang Liu , Jun-Qing Xia , Hong Li