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Forthcoming radio surveys will include full polarisation information, which can be potentially useful for weak lensing observations. We propose a new method to measure the (integrated) gravitational field between a source and the observer,…

Astrophysics of Galaxies · Physics 2021-12-08 Jérémie Francfort , Giulia Cusin , Ruth Durrer

Strong gravitational lensing has significantly advanced the study of high-redshift galaxies, but the differential magnification effect inevitably introduces biases in the spectral analysis of source galaxies. This work investigates these…

Astrophysics of Galaxies · Physics 2025-01-20 Wenshuo Xu , Dandan Xu , Xinzhong Er , Junqiang Ge

The measurement of the integrated optical polarization of weakly gravitationally lensed galaxies can provide considerable constraints on lens models. The method outlined depends on fact that the orientation of the direction of optical…

Astrophysics · Physics 2009-10-30 Edouard Audit , John F. L. Simmons

Strong gravitational lensing provides a geometric probe of cosmology in a unique manner through distance ratios involving the source and lens. This is well known for the time delay distance derived from measured delays between lightcurves…

Cosmology and Nongalactic Astrophysics · Physics 2016-10-12 Eric V. Linder

The Hubble constant value is currently known to 10% accuracy unless assumptions are made for the cosmology (Sandage et al. 2006). Gravitational lens systems provide another probe of the Hubble constant using time delay measurements.…

Instrumentation and Methods for Astrophysics · Physics 2010-12-01 G. Gürkan , N. Jackson , I. W. A. Browne , L. V. E. Koopmans , C. D. Fassnacht , A. Berciano Alba

It has been proposed to study gravitational lenses from measurements of the spectrum of the fluctuations of the output current of a quadratic detector. The spatial correlation coefficient of the source is the fundamental parameter of the…

Instrumentation and Methods for Astrophysics · Physics 2015-05-20 Ermanno F. Borra

Flexion-based weak gravitational lensing analysis is proving to be a useful adjunct to traditional shear-based techniques. As flexion arises from gradients across an image, analytic and numerical techniques are required to investigate…

Cosmology and Nongalactic Astrophysics · Physics 2015-05-27 Christopher J. Fluke , Paul D. Lasky

The best studied gravitational lens is the Twin QSO Q0957+561, and as a result of recent advances in observations and modelling, a ten percent measurement of the Hubble constant is attainable. We discuss in detail this system and review the…

Astrophysics · Physics 2009-10-30 L. J. Goicoechea , E. Mediavilla , A. Oscoz , M. Serra-Ricart , J. Buitrago

The next generation of weak gravitational lensing surveys is capable of generating good measurements of cosmological parameters, provided that, amongst other requirements, adequate redshift information is available for the background…

Astrophysics · Physics 2009-11-11 Edward Edmondson , Lance Miller , Christian Wolf

We propose a Bayesian meta-analysis to infer the current expansion rate of the Universe, called the Hubble constant ($H_0$), via time delay cosmography. Inputs of the meta-analysis are estimates of two properties for each pair of…

Applications · Statistics 2024-11-14 Hyungsuk Tak , Xuheng Ding

Gravitational lensing can be used to analyze the redshift distribution of faint galaxies. In particular the magnification bias modifies locally the galaxy number density of lensed sources observed in lensing clusters. This depletion area…

Astrophysics · Physics 2007-05-23 Y. Mellier

Gravitational lensing magnification is maximal around caustics. At these source locations, an incoming wave from a point source would formally experience an infinite amplification in the high-frequency or geometric optics limit. This…

General Relativity and Quantum Cosmology · Physics 2025-09-03 Jose María Ezquiaga , Rico K. L. Lo , Luka Vujeva

Gravitational lensing offers unique opportunities to learn about the astrophysical origin of distant sources, the abundance of intervening objects acting as lenses, and gravity and cosmology in general. However, all this information can…

Cosmology and Nongalactic Astrophysics · Physics 2024-11-20 Anson Chen , Paolo Cremonese , Jose María Ezquiaga , David Keitel

Gravitational lensing constitutes one of the most direct observational manifestations of spacetime curvature and provides a powerful probe of compact astrophysical objects. In this work, we present a comprehensive analysis of the bending of…

General Relativity and Quantum Cosmology · Physics 2026-04-21 Partha Pratim Basumallick , Saheb Das , Bhaswati Mandal , Subhadip Sau

In optimization-based approaches to inverse problems and to statistical estimation, it is common to augment criteria that enforce data fidelity with a regularizer that promotes desired structural properties in the solution. The choice of a…

Optimization and Control · Mathematics 2024-09-11 Oscar Leong , Eliza O'Reilly , Yong Sheng Soh , Venkat Chandrasekaran

Gravitational-wave (GW) observations by a network of ground-based laser interferometric detectors allow us to probe the nature of GW polarizations. This would be an interesting test of general relativity (GR), since GR predicts only two…

General Relativity and Quantum Cosmology · Physics 2021-01-27 Srashti Goyal , K. Haris , Ajit Kumar Mehta , Parameswaran Ajith

Gravitationally lensed curved arcs provide a wealth of information about the underlying lensing distortions. Extracting precise lensing information from extended sources is a key component in many studies aiming to answer fundamental…

Cosmology and Nongalactic Astrophysics · Physics 2021-09-29 Simon Birrer

This paper addresses the issue of inversion in cases where (1) the observation system is modeled by a linear transformation and additive noise, (2) the problem is ill-posed and regularization is introduced in a Bayesian framework by an a…

Machine Learning · Statistics 2026-02-12 Jean-François Giovannelli

High redshift sources suffer from magnification or demagnification due to weak gravitational lensing by large scale structure. One consequence of this is that the distance-redshift relation, in wide use for cosmological tests, suffers…

Cosmology and Nongalactic Astrophysics · Physics 2015-05-30 Madhura Killedar , Paul D. Lasky , Geraint F. Lewis , Chris J. Fluke

A large number of cosmological studies now suggest that roughly two-thirds of the critical energy density of the Universe exists in a component with negative pressure. If the equation of state of such an energy component varies with time,…

Astrophysics · Physics 2010-04-06 Asantha R. Cooray , Dragan Huterer
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