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This chapter provides a comprehensive overview of weak gravitational lensing and its current applications in cosmology. We begin by introducing the fundamental concepts of gravitational lensing and derive the key equations for the…

Cosmology and Nongalactic Astrophysics · Physics 2025-10-06 J. Prat , D. Bacon

Cosmic shear is one of the most powerful probes of Dark Energy, targeted by several current and future galaxy surveys. Lensing shear, however, is only sampled at the positions of galaxies with measured shapes in the catalog, making its…

Cosmology and Nongalactic Astrophysics · Physics 2021-03-31 Andrina Nicola , Carlos García-García , David Alonso , Jo Dunkley , Pedro G. Ferreira , Anže Slosar , David N. Spergel

We report a detection of the coherent distortion of faint galaxies arising from gravitational lensing by foreground structures. This ``cosmic shear'' is potentially the most direct measure of the mass power spectrum, as it is unaffected by…

Astrophysics · Physics 2011-05-05 David Bacon , Alexandre Refregier , Richard Ellis

(Abridged) Weak gravitational lensing induces distortions on the images of background galaxies, and thus provides a direct measure of mass fluctuations in the universe. Since the distortions induced by lensing on the images of background…

Astrophysics · Physics 2009-10-31 David Bacon , Alexandre Refregier , Douglas Clowe , Richard Ellis

We propose to use a simple observable, the fractional area of "hot spots" in weak lensing mass maps which are detected with high significance, to determine background cosmological parameters. Because these high-shear regions are directly…

Astrophysics · Physics 2008-09-24 Sheng Wang , Zoltan Haiman , Morgan May , John Kehayias

Weak gravitational lensing surveys are rapidly becoming important tools to probe directly the mass density fluctuations in the universe and its background dynamics. Earlier studies have shown that it is possible to model the statistics of…

Astrophysics · Physics 2009-11-07 Patrick Valageas , Andrew J. Barber , Dipak Munshi

In this paper we introduce a new observable to measure cosmic shear. We show that if we can measure with good accuracy both, the orientation of a galaxy and the polarisation direction of its radio emission, the angle between them is…

Cosmology and Nongalactic Astrophysics · Physics 2022-09-14 Jérémie Francfort , Giulia Cusin , Ruth Durrer

We measure the gravitational lensing shear signal around dark matter halos hosting CMASS galaxies using light sources at $z\sim 1$ (background galaxies) and at the surface of last scattering at $z\sim 1100$ (the cosmic microwave…

Cosmology and Nongalactic Astrophysics · Physics 2017-04-26 Hironao Miyatake , Mathew S. Madhavacheril , Neelima Sehgal , Anže Slosar , David N. Spergel , Blake Sherwin , Alexander van Engelen

In this brief review I consider the advances made in weak gravitational lensing over the last 8 years, concentrating on the large scales - cosmic shear. I outline the theoretical developments, observational status, and the challenges which…

Astrophysics · Physics 2015-05-13 Alan Heavens

Weak gravitational lensing of background galaxies offers an excellent opportunity to study the intervening distribution of matter. While much attention to date has focused on the two-point function of the cosmic shear, the three-point…

Astrophysics · Physics 2008-11-26 Scott Dodelson , Pengjie Zhang

A cosmic shear survey, spanning a significant proportion of the sky, should greatly improve constraints on a number of cosmological parameters. It also provides a unique opportunity to examine the matter power spectrum directly. However,…

Astrophysics · Physics 2009-11-13 Fergus Simpson

Gravitational weak lensing by large scale structures is view as a tool to probe the bias relation between the mass and the light distributions. It is explained how a particular statistic can be used to deproject the 2D mass distribution…

Astrophysics · Physics 2007-05-23 L. Van Waerbeke

We present the theoretical and analytical bases of optimal techniques to measure weak gravitational shear from images of galaxies. We first characterize the geometric space of shears and ellipticity, then use this geometric interpretation…

Astrophysics · Physics 2009-11-06 G. M. Bernstein , M. Jarvis

Our aim is to quantify the impact of systematic effects on the inference of cosmological parameters from cosmic shear. We present an end-to-end approach that introduces sources of bias in a modelled weak lensing survey on a galaxy-by-galaxy…

Cosmology and Nongalactic Astrophysics · Physics 2020-03-25 Euclid Collaboration , P. Paykari , T. D. Kitching , H. Hoekstra , R. Azzollini , V. F. Cardone , M. Cropper , C. A. J. Duncan , A. Kannawadi , L. Miller , H. Aussel , I. F. Conti , N. Auricchio , M. Baldi , S. Bardelli , A. Biviano , D. Bonino , E. Borsato , E. Bozzo , E. Branchini , S. Brau-Nogue , M. Brescia , J. Brinchmann , C. Burigana , S. Camera , V. Capobianco , C. Carbone , J. Carretero , F. J. Castander , M. Castellano , S. Cavuoti , Y. Charles , R. Cledassou , C. Colodro-Conde , G. Congedo , C. Conselice , L. Conversi , Y. Copin , J. Coupon , H. M. Courtois , A. Da Silva , X. Dupac , G. Fabbian , S. Farrens , P. G. Ferreira , P. Fosalba , N. Fourmanoit , M. Frailis , M. Fumana , S. Galeotta , B. Garilli , W. Gillard , B. R. Gillis , C. Giocoli , J. Gracia-Carpio , F. Grupp , F. Hormuth , S. Ilic , H. Israel , K. Jahnke , E. Keihanen , S. Kermiche , M. Kilbinger , C. C. Kirkpatrick , B. Kubik , M. Kunz , H. Kurki-Suonio , F. Lacasa , R. Laureijs , D. Le Mignant , S. Ligori , P. B. Lilje , I. Lloro , T. Maciaszek , E. Maiorano , O. Marggraf , M. Martinelli , N. Martinet , F. Marulli R. Massey , N. Mauri , E. Medinaceli , S. Mei , Y. Mellier , M. Meneghetti , R. B. Metcalf , M. Moresco , L. Moscardini , E. Munari , C. Neissner , R. C. Nichol , S. Niemi , T. Nutma , C. Padilla , S. Paltani , F. Pasian , V. Pettorino , S. Pires , G. Polenta , A. Pourtsidou , F. Raison , A. Renzi , J. Rhodes , E. Romelli , M. Roncarelli , E. Rossetti , R. Saglia , A. G. Sánchez , D. Sapone , R. Scaramella , P. Schneider , T. Schrabback , V. Scottez , A. Secroun , S. Serrano , C. Sirignano , G. Sirri , L. Stanco , J. -L. Starck , F. Sureau , P. Tallada-Crespí , A. Taylor , M. Tenti , I. Tereno , R. Toledo-Moreo , F. Torradeflot , I. Tutusaus , L. Valenziano , M. Vannier , T. Vassallo , J. Zoubian , E. Zucca

The wealth of incoming and future cosmological observations will allow us to map out the structure and evolution of the observable universe to an unprecedented level of precision. Among these observations is the weak gravitational lensing…

Cosmology and Nongalactic Astrophysics · Physics 2015-06-11 M. A. Troxel , Mustapha Ishak

This paper reviews statistical methods recently developed to reconstruct and analyze dark matter mass maps from weak lensing observations. The field of weak lensing is motivated by the observations made in the last decades showing that the…

Cosmology and Nongalactic Astrophysics · Physics 2015-05-14 S. Pires , J. -L. Starck , A. Refregier

Galaxy shapes are not randomly oriented, rather they are statistically aligned in a way that can depend on formation environment, history and galaxy type. Studying the alignment of galaxies can therefore deliver important information about…

We present a combined cosmic shear analysis of the modeling of line-of-sight distortions on strongly lensed extended arcs and galaxy shape measurements in the COSMOS field. We develop a framework to predict the covariance of strong lensing…

Cosmology and Nongalactic Astrophysics · Physics 2021-04-14 Felix Arjun Kuhn , Claudio Bruderer , Simon Birrer , Adam Amara , Alexandre Réfrégier

Here we present a number of improvements to weak lensing 3D power spectrum analysis, 3D cosmic shear, that uses the shape and redshift information of every galaxy to constrain cosmological parameters. We show how photometric redshift…

Cosmology and Nongalactic Astrophysics · Physics 2015-05-19 T. D. Kitching , A. F. Heavens , L. Miller

Gravitational lenses can provide crucial information on the geometry of the Universe, on the cosmological scenario of formation of its structures as well as on the history of its components with look-back time. In this review, I focus on…

Astrophysics · Physics 2009-10-31 Y. Mellier