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Keeping the exact general relativistic treatment of light bending as a reference, we compare the accuracy of commonly used approximate lens equations. We conclude that the best approximate lens equation is the Ohanian lens equation, for…

General Relativity and Quantum Cosmology · Physics 2008-12-18 V. Bozza

We model weak gravitational lensing of light by large-scale structure using ray tracing through N-body simulations. The method is described with particular attention paid to numerical convergence. We investigate some of the key…

Astrophysics · Physics 2008-11-26 Chris Vale , Martin White

Gravitational lensing has long been considered as a valuable tool to determine the total mass of galaxy clusters. The shear profile as inferred from the statistics of ellipticity of background galaxies allows to probe the cluster…

Cosmology and Nongalactic Astrophysics · Physics 2016-09-21 Vincenzo F. Cardone , Martina Vicinanza , Xinzhong Er , Roberto Maoli , Roberto Scaramella

We describe the simulation data produced by a pilot programme to compute mock weak gravitational lensing maps for a range of currently popular cosmological models by ray tracing through high-resolution N-body simulations. The programme…

Astrophysics · Physics 2008-11-26 Martin White , Chris Vale

We consider the Fundamental Plane of elliptical galaxies lensed by the gravitational field of a massive deflector (typically, a cluster of galaxies). We show that the Fundamental Plane relation provides a straightforward measurement of the…

Astrophysics · Physics 2011-02-11 Giuseppe Bertin , Marco Lombardi

Gravitational lenses are presently playing an important role in astrophysics. By means of these lenses the parameters of the deflector such as its mass, ellipticity, etc. and Hubble's constant can be determined. Using C, Xforms, Mesa and…

Astrophysics · Physics 2014-06-13 Francisco Frutos-Alfaro

We obtain analytic formulae for the null geodesics of Friedmann-Lema\^{\i}tre-Robertson-Walker spacetimes with scalar perturbations in the longitudinal gauge. We use these to provide a rigorous derivation of the cosmological lens equation.…

Astrophysics · Physics 2007-05-23 Ted Pyne , Mark Birkinshaw

We discuss the wave optical effects in gravitational lens systems with two point mass lenses in two different lens planes. We identify and vary parameters (i.e., lens masses, related distances, and their alignments) related to the lens…

Cosmology and Nongalactic Astrophysics · Physics 2022-07-06 Rahul Ramesh , Ashish Kumar Meena , J S Bagla

When a gravitational wave encounters a massive object along the line of sight, repeated copies of the original signal may be produced due to gravitational lensing. In this paper, we develop a series of new machine-learning based statistical…

General Relativity and Quantum Cosmology · Physics 2025-09-09 Giulia Campailla , Marco Raveri , Wayne Hu , Jose María Ezquiaga

The systematic magnification of background sources by the weak gravitational-lensing effects of foreground matter, also called cosmic magnification, is becoming an efficient tool both for measuring cosmological parameters and for exploring…

Astrophysics · Physics 2015-06-24 Brice Menard , Takashi Hamana , Matthias Bartelmann , Naoki Yoshida

Estimation of time delays from a noisy and gapped data is one of the simplest data analysis problems in astronomy by its formulation. But as history of real experiments show, the work with observed data sets can be quite complex and…

Instrumentation and Methods for Astrophysics · Physics 2011-05-31 A. Hirv , N. Olspert , J. Pelt

This paper present the mathematical fundaments and experimental study of an algorithm used to find the optimal position for the camera lens to obtain a maximum of details. This information can be further applied to a appropriate system to…

Computer Vision and Pattern Recognition · Computer Science 2015-02-24 Radu Arsinte

Gravitational weak lensing maps the location of (dark) matter at all scales. The lens-induced distortion field traces gravity fields and can be used to reconstruct the mass distribution in galaxies, groups, clusters of galaxies or…

Astrophysics · Physics 2007-05-23 Y. Mellier , L. van Waerbeke

Modeling strong gravitational lenses in order to quantify the distortions in the images of background sources and to reconstruct the mass density in the foreground lenses has traditionally been a difficult computational challenge. As the…

Instrumentation and Methods for Astrophysics · Physics 2022-07-05 Alexandre Adam , Laurence Perreault-Levasseur , Yashar Hezaveh

We consider the possibility that future wide-field time-domain optical imaging surveys may be able to discover gravitationally lensed quasar pairs through serendipitous measurements of their time delays. We discuss the merits such a…

Astrophysics · Physics 2009-11-10 Bart Pindor

Map matching and registration are essential tasks in robotics for localisation and integration of multi-session or multi-robot data. Traditional methods rely on cameras or LiDARs to capture visual or geometric information but struggle in…

Robotics · Computer Science 2025-08-22 William McDonald , Cedric Le Gentil , Jennifer Wakulicz , Teresa Vidal-Calleja

Gravitational lensing is most often used as a tool to investigate the distribution of (dark) matter in the universe, but, if the mass distribution is known a priori, it becomes, at least in principle, a powerful probe of gravity itself.…

Astrophysics · Physics 2009-11-06 Daniel J. Mortlock , Edwin L. Turner

In this paper we discuss a new method which can be used to obtain arbitrarily accurate analytical expressions for the deflection angle of light propagating in a given metric. Our method works by mapping the integral into a rapidly…

General Relativity and Quantum Cosmology · Physics 2009-11-11 Paolo Amore , Santiago Arceo Diaz

The number of strong lens systems is expected to increase significantly in ongoing and upcoming surveys. With an increase in the total number of such systems we expect to discover many configurations that correspond to unstable caustics. In…

Cosmology and Nongalactic Astrophysics · Physics 2020-01-29 Ashish Kumar Meena , J. S. Bagla

Context: Weak gravitational lensing is a key cosmological probe for current and future large-scale surveys. While power spectra are commonly used for analyses, they fail to capture non-Gaussian information from nonlinear structure…

Cosmology and Nongalactic Astrophysics · Physics 2025-09-17 Vilasini Tinnaneri Sreekanth , Jean-Luc Starck , Sandrine Codis