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Interferometric radio astronomy data require the effects of limited coverage in the Fourier plane to be accounted for via a deconvolution process. For the last 40 years this process, known as `cleaning', has been performed almost…

Instrumentation and Methods for Astrophysics · Physics 2016-06-15 Luke Pratley , Melanie Johnston-Hollitt

Gravitational lensing of the microwave background by the intervening dark matter mainly arises from large-angle fluctuations in the projected gravitational potential and hence offers a unique opportunity to study the physics of the dark…

Astrophysics · Physics 2011-05-12 Takemi Okamoto , Wayne Hu

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…

Cosmology and Nongalactic Astrophysics · Physics 2015-08-19 Blake D. Sherwin , Marcel Schmittfull

Radio-astronomical observations are increasingly contaminated by interference, and suppression techniques become essential. A powerful candidate for interference mitigation is adaptive spatial filtering. We study the effect of spatial…

Astrophysics · Physics 2014-10-13 Amir Leshem , Alle-Jan van der Veen

Future experiments will produce high-resolution temperature maps of the cosmic microwave background (CMB) and are expected to reveal the signature of gravitational lensing by intervening large-scale structures. We construct all-sky…

Astrophysics · Physics 2009-11-07 Christopher M. Hirata , Uros Seljak

We develop a new interpolation scheme, based on harmonic inpainting, for reconstructing the cosmic microwave background temperature data within the Galaxy mask from the data outside the mask. We find that, for scale-invariant isotropic…

Astrophysics · Physics 2008-11-26 Kaiki Taro Inoue , Paolo Cabella , Eiichiro Komatsu

The delensing of cosmic microwave background (CMB) maps will be increasingly valuable for extracting as much information as possible from future CMB surveys. Delensing provides many general benefits, including sharpening of the acoustic…

Cosmology and Nongalactic Astrophysics · Physics 2024-09-20 Cynthia Trendafilova , Selim C. Hotinli , Joel Meyers

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…

Cosmology and Nongalactic Astrophysics · Physics 2021-08-25 Jia-Rui Li , Chunlong Li , Jie Jiang , Yi-Fu Cai , Jacques Delabrouille , Deliang Wu , Hong Li

Optical metasurfaces composed of precisely engineered nanostructures have gained significant attention for their ability to manipulate light and implement distinct functionalities based on the properties of the incident field. Computational…

Computer Vision and Pattern Recognition · Computer Science 2025-07-08 Dean Hazineh , Soon Wei Daniel Lim , Qi Guo , Federico Capasso , Todd Zickler

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…

Cosmology and Nongalactic Astrophysics · Physics 2010-10-21 Guilhem Lavaux , Benjamin D. Wandelt

The power spectrum of cosmic microwave background lensing is a powerful tool for constraining fundamental physics such as the sum of neutrino masses and the dark energy equation of state. Current lensing measurements primarily come from…

Cosmology and Nongalactic Astrophysics · Physics 2023-02-10 Hongbo Cai , Yilun Guan , Toshiya Namikawa , Arthur Kosowsky

Gravitational lensing by large-scale structure significantly impacts observations of the cosmic microwave background (CMB): it smooths the acoustic peaks in temperature and $E$-mode polarization power spectra, correlating previously…

Cosmology and Nongalactic Astrophysics · Physics 2017-12-20 Daniel Green , Joel Meyers , Alexander van Engelen

Future low-noise cosmic microwave background (CMB) lensing measurements from e.g., CMB-S4 will be polarization dominated, rather than temperature dominated. In this new regime, statistically optimal lensing reconstructions outperform the…

Cosmology and Nongalactic Astrophysics · Physics 2025-05-20 Frank J. Qu , Marius Millea , Emmanuel Schaan

We present a general method for accelerating by more than an order of magnitude the convolution of pixelated function on the sphere with a radially-symmetric kernel. Our method splits the kernel into a compact real-space, and a compact…

Instrumentation and Methods for Astrophysics · Physics 2012-11-16 P. M. Sutter , Benjamin D. Wandelt , Franz Elsner

Galaxy clusters will distort the pattern of temperature anisotropies in the microwave background via gravitational lensing. We create lensed microwave background maps using clusters drawn from numerical cosmological simulations. A…

Astrophysics · Physics 2009-11-10 Gilbert P. Holder , Arthur Kosowsky

Weak lensing distortion of the background cosmic microwave background (CMB) temperature and polarization patterns by the foreground density fluctuations is well studied in the literature. We discuss the gravitational lensing modification to…

Astrophysics · Physics 2009-11-11 Chao Li , Asantha Cooray

We propose a deconvolution algorithm for images blurred and degraded by a Poisson noise. The algorithm uses a fast proximal backward-forward splitting iteration. This iteration minimizes an energy which combines a \textit{non-linear} data…

Applications · Statistics 2008-12-18 François-Xavier Dupé , Jalal Fadili , Jean Luc Starck

The lensing effect of the cosmic microwave background (CMB) is a powerful tool for our study of the distribution of matter in the universe. Currently, the quadratic estimator (EQ) method, which is widely used to reconstruct lensing…

Cosmology and Nongalactic Astrophysics · Physics 2023-07-26 Ye-Peng Yan , Guo-Jian Wang , Si-Yu Li , Yang-Jie Yan , Jun-Qing Xia

Lensing of the CMB is now a well-developed probe of large-scale clustering over a broad range of redshifts. By exploiting the non-Gaussian imprints of lensing in the polarization of the CMB, the CORE mission can produce a clean map of the…

Cosmology and Nongalactic Astrophysics · Physics 2019-08-13 Anthony Challinor , Rupert Allison , Julien Carron , Josquin Errard , Stephen Feeney , Thomas Kitching , Julien Lesgourgues , Antony Lewis , Íñigo Zubeldía , Ana Achucarro , Peter Ade , Mark Ashdown , Mario Ballardini , A. J. Banday , Ranajoy Banerji , James Bartlett , Nicola Bartolo , Soumen Basak , Daniel Baumann , Marco Bersanelli , Anna Bonaldi , Matteo Bonato , Julian Borrill , François Bouchet , François Boulanger , Thejs Brinckmann , Martin Bucher , Carlo Burigana , Alessandro Buzzelli , Zhen-Yi Cai , Martino Calvo , Carla-Sofia Carvalho , Gabriella Castellano , Jens Chluba , Sebastien Clesse , Ivan Colantoni , Alessandro Coppolecchia , Martin Crook , Giuseppe d'Alessandro , Paolo de Bernardis , Giancarlo de Gasperis , Gianfranco De Zotti , Jacques Delabrouille , Eleonora Di Valentino , Jose-Maria Diego , Raul Fernandez-Cobos , Simone Ferraro , Fabio Finelli , Francesco Forastieri , Silvia Galli , Ricardo Genova-Santos , Martina Gerbino , Joaquin González-Nuevo , Sebastian Grandis , Joshua Greenslade , Steffen Hagstotz , Shaul Hanany , Will Handley , Carlos Hernandez-Monteagudo , Carlos Hervías-Caimapo , Matthew Hills , Eric Hivon , Kimmo Kiiveri , Ted Kisner , Martin Kunz , Hannu Kurki-Suonio , Luca Lamagna , Anthony Lasenby , Massimiliano Lattanzi , Michele Liguori , Valtteri Lindholm , Marcos López-Caniego , Gemma Luzzi , Bruno Maffei , Enrique Martinez-González , C. J. A. P. Martins , Silvia Masi , Darragh McCarthy , Alessandro Melchiorri , Jean-Baptiste Melin , Diego Molinari , Alessandro Monfardini , Paolo Natoli , Mattia Negrello , Alessio Notari , Alessandro Paiella , Daniela Paoletti , Guillaume Patanchon , Michel Piat , Giampaolo Pisano , Linda Polastri , Gianluca Polenta , Agnieszka Pollo , Vivian Poulin , Miguel Quartin , Mathieu Remazeilles , Matthieu Roman , Jose-Alberto Rubino-Martin , Laura Salvati , Andrea Tartari , Maurizio Tomasi , Denis Tramonte , Neil Trappe , Tiziana Trombetti , Carole Tucker , Jussi Valiviita , Rien Van de Weijgaert , Bartjan van Tent , Vincent Vennin , Patricio Vielva , Nicola Vittorio , Karl Young , Mario Zannoni

We propose fast, exact and efficient algorithms for the convolution of two arbitrary functions on the sphere which speed up computations by a factor \order{\sqrt{N}} compared to present methods where $N$ is the number of pixels. No…

Astrophysics · Physics 2009-10-31 Benjamin D. Wandelt , Krzysztof M. Gorski