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The distance-redshift relation plays a fundamental role in constraining cosmological models. In this paper, we show that measurements of positions and time delays of strongly lensed images of a background galaxy, as well as those of the…

Cosmology and Nongalactic Astrophysics · Physics 2015-10-21 Inh Jee , Eiichiro Komatsu , Sherry H. Suyu

We measure a combination of gravitational lensing, galaxy clustering, and redshift-space distortions called $E_G$. The quantity $E_G$ probes both parts of metric potential and is insensitive to galaxy bias and $\sigma_8$. These properties…

Cosmology and Nongalactic Astrophysics · Physics 2016-12-13 Shadab Alam , Hironao Miyatake , Surhud More , Shirley Ho , Rachel Mandelbaum

We describe a simple and fast method to correct ellipticity measurements of galaxies from the distortion by the instrumental and atmospheric point spread function (PSF), in view of weak lensing shear measurements. The method performs a…

Cosmology and Nongalactic Astrophysics · Physics 2012-08-01 M. Tewes , N. Cantale , F. Courbin , T. D. Kitching , G. Meylan

Three point mass gravitational lens equation is a two-dimensional vector equation that can be embedded in a tenth order analytic polynomial equation of one complex variable, and we can solve the one variable equation on the source…

Astrophysics · Physics 2007-05-23 Sun Hong Rhie

Gravitational Lensing is a UNIQUE tool to constrain the mass distribution of collapsed structures, this is particularly true for galaxies, either on a case by case basis using multiple images of background sources (such as quasars), or…

Astrophysics · Physics 2017-08-23 Jean-Paul Kneib

(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

The gravitational lensing effect of gamma-ray bursts (GRBs) holds significant and diverse applications in the field of astronomy. Nevertheless, the identification of millilensing events in GRBs presents substantial challenges. We…

High Energy Astrophysical Phenomena · Physics 2025-09-01 Yu Zhao , Zhao-Yang Peng , Jia-Ming Chen , Yue Yin , Ting Li

We present and describe im3shape, a new publicly available galaxy shape measurement code for weak gravitational lensing shear. im3shape performs a maximum likelihood fit of a bulge-plus-disc galaxy model to noisy images, incorporating an…

Cosmology and Nongalactic Astrophysics · Physics 2015-06-12 Joe Zuntz , Tomasz Kacprzak , Lisa Voigt , Michael Hirsch , Barnaby Rowe , Sarah Bridle

We present calculations illustrating the potential of gravitational microlensing to discriminate between classical models of stellar surface brightness profiles and the recently computed ``Next Generation'' models of Hauschildt et al. These…

Astrophysics · Physics 2009-11-07 H. M. Bryce , M. A. Hendry , D. Valls-Gabaud

We propose a new method to test the cosmic distance duality relation using the strongly lensed gravitational waves. The simultaneous observations of image positions, the relative time delay between different images, the redshift…

General Relativity and Quantum Cosmology · Physics 2020-04-23 Hai-Nan Lin , Xin Li

The cold dark matter scenario of hierarchical large-scale structure formation predicts the existence of abundant subhalos around large galaxies. However, the number of observed dwarf galaxies is far from this theoretical prediction,…

Cosmology and Nongalactic Astrophysics · Physics 2018-11-02 Kai Liao , Xuheng Ding , Marek Biesiada , Xi-Long Fan , Zong-Hong Zhu

The basic concepts of gravitational microlensing are introduced. We start with the lens equation, and then derive the image positions and magnifications. The statistical quantities of optical depth and event rate are then described. We…

Astrophysics · Physics 2008-11-05 Shude Mao

This paper details a description of the pattern of galaxy image distortion over the entire sky caused by the gravitational lensing which is the result of large scale inhomogeneities in our universe. We present a tensor spherical harmonic…

Astrophysics · Physics 2007-05-23 Albert Stebbins

We report on the detection of gravitational lensing magnification by a population of galaxy groups, at a significance level of 4.9 sigma. Using X-ray selected groups in the COSMOS 1.64 deg^2 field, and high-redshift Lyman break galaxies as…

Gravitational lensing has developed into one of the most powerful tools for the analysis of the dark universe. This review summarises the theory of gravitational lensing, its main current applications and representative results achieved so…

Cosmology and Nongalactic Astrophysics · Physics 2015-05-20 Matthias Bartelmann

The exponential growth of astronomical datasets provides an unprecedented opportunity for humans to gain insight into the Universe. However, effectively analyzing this vast amount of data poses a significant challenge. Astronomers are…

Instrumentation and Methods for Astrophysics · Physics 2024-05-20 Mingxiang Fu , Yu Song , Jiameng Lv , Liang Cao , Peng Jia , Nan Li , Xiangru Li , Jifeng Liu , A-Li Luo , Bo Qiu , Shiyin Shen , Liangping Tu , Lili Wang , Shoulin Wei , Haifeng Yang , Zhenping Yi , Zhiqiang Zou

Image restoration in astronomy has been considered a vital step in many ground-based observational programs that often suffer from sub-optimal seeing due to atmospheric turbulence, distortion of stellar shapes due to instrumental…

Instrumentation and Methods for Astrophysics · Physics 2023-09-14 Yash Gondhalekar , Margarita Safonova , Snehanshu Saha

Magnification bias offers a uniquely powerful and independent route to cosmological information. As a gravitational-lensing observable, it probes galaxy-matter correlations without relying on galaxy shapes, PSF modelling, or…

Doppler lensing, a relativistic effect resulting from the peculiar velocities of galaxies along the line of sight, provides insight into the large-scale structure of the Universe. Relativistic simulations are essential for modeling Doppler…

Cosmology and Nongalactic Astrophysics · Physics 2026-01-23 Mubtasim Fuad , Sonia Akter Ema , Md Rasel Hossen

Weak gravitational lensing is one of the most promising cosmological probes of the late universe. Several large ongoing (DES, KiDS, HSC) and planned (LSST, EUCLID, WFIRST) astronomical surveys attempt to collect even deeper and larger scale…

Cosmology and Nongalactic Astrophysics · Physics 2019-11-06 Dezső Ribli , Bálint Ármin Pataki , José Manuel Zorrilla Matilla , Daniel Hsu , Zoltán Haiman , István Csabai