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Gravitational waves propagate along null geodesics like light rays in the geometrical optics approximation, and they may have a chance to suffer from gravitational lensing by intervening objects, as is the case for electromagnetic waves.…

General Relativity and Quantum Cosmology · Physics 2010-10-12 Yousuke Itoh , Toshifumi Futamase , Makoto Hattori

In the context of strong gravitational lensing, the magnification of image is of crucial importance to constrain various lens models. For several commonly used quadruple lens models, the magnification invariants, defined as the sum of the…

Cosmology and Nongalactic Astrophysics · Physics 2018-07-25 Chengliang Wei , Zhe Chu , Yiping Shu

Gravity inversion is a commonly applied data analysis technique in the field of geophysics. While machine learning methods have previously been explored for the problem of gravity inversion, these are deterministic approaches returning a…

The measurement of the Hubble constant $H_0$ plays an important role in the study of cosmology. In this letter, we propose a new method to constrain the Hubble constant using the strongly lensed gravitational wave (GW) signals. By…

Cosmology and Nongalactic Astrophysics · Physics 2023-08-09 Shun-Jia Huang , Yi-Ming Hu , Xian Chen , Jian-dong Zhang , En-Kun Li , Zucheng Gao , Xin-Yi Lin

Over the past decade advancements in the understanding of several astrophysical phenomena have allowed us to infer a concordance cosmological model that successfully accounts for most of the observations of our universe. This has opened up…

Cosmology and Nongalactic Astrophysics · Physics 2011-12-13 Irène Balmès , Pier-Stefano Corasaniti

We have worked out simple analytical formulae that accurately approximate the relationship between the position of the source with respect to the lens center and the amplification of the images, hence the lens cross section, for realistic…

Cosmology and Nongalactic Astrophysics · Physics 2015-06-05 A. Lapi , M. Negrello , J. Gonzalez-Nuevo , Z. -Y. Cai , G. De Zotti , L. Danese

In strong gravitational lensing, the multiple images we see correspond to light rays that leave the source in slightly different directions. If the source emission is anisotropic, the images may differ from conventional lensing predictions…

Cosmology and Nongalactic Astrophysics · Physics 2015-05-13 Rosalba Perna , Charles R. Keeton

Strong gravitational lenses are unique cosmological probes. These produce multiple images of a single source. Whether a single galaxy, a group or a cluster, extracting cosmologically relevant information requires an accurate modeling of the…

Cosmology and Nongalactic Astrophysics · Physics 2011-12-13 Irène Balmès

We present a 3D Bayesian method to model the kinematics of strongly lensed galaxies from spatially-resolved emission-line observations. This technique enables us to simultaneously recover the lens-mass distribution and the source kinematics…

Astrophysics of Galaxies · Physics 2018-09-21 Francesca Rizzo , Simona Vegetti , Filippo Fraternali , Enrico Di Teodoro

The inversion of a gravitational lens system is, as is well known, plagued by the so-called mass-sheet degeneracy: one can always rescale the density distribution of the lens and add a constant-density mass-sheet such that the, also…

Astrophysics · Physics 2009-11-13 J. Liesenborgs , S. De Rijcke , H. Dejonghe , P. Bekaert

The total magnification due to a point lens has been of particular interest as the theorem that gravitational lensing results in light amplification for all observers appears to contradict the conservation of photon number. This has been…

Instrumentation and Methods for Astrophysics · Physics 2015-10-20 S. J. Walters , L. K. Forbes

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 been a difficult computational challenge. As the quality of…

Instrumentation and Methods for Astrophysics · Physics 2023-07-05 Alexandre Adam , Laurence Perreault-Levasseur , Yashar Hezaveh , Max Welling

We model the extremely massive and luminous lens galaxy in the Cosmic Horseshoe Einstein ring system, recently discovered in the Sloan Digital Sky Survey. We use the semi-linear method of Warren & Dye (2003), which pixelises the source…

Astrophysics · Physics 2009-11-13 Simon Dye , N. W. Evans , V. Belokurov , S. J. Warren , P. Hewett

Gravitational lensing deflects light. A single lens deflector can only shear images, but cannot induce rotations. Multiple lens planes can induce rotations. Such rotations can be observed in quadruply imaged sources, and can be used to…

Astrophysics · Physics 2010-11-19 Ue-Li Pen , Shude Mao

We describe a general purpose method to reconstruct the intrinsic properties of sources lensed by the gravitational potential of foreground clusters of galaxies. The tool Lenstruction is implemented in the publicly available multi-purpose…

Astrophysics of Galaxies · Physics 2020-11-30 Lilan Yang , Simon Birrer , Tommaso Treu

We present a refined gravitational lens model of the four-image lens system B1608+656 based on new and improved observational constraints: (i) the three independent time-delays and flux-ratios from VLA observations, (ii) the radio-image…

Astrophysics · Physics 2009-11-07 L. V. E. Koopmans , T. Treu , C. D. Fassnacht , R. D. Blandford , G. Surpi

(Abridged) We perform a detailed analysis of the optical gravitational lens ER 0047-2808 imaged with WFPC2 on the Hubble Space Telescope. Using software specifically designed for the analysis of resolved gravitational lens systems, we focus…

Astrophysics · Physics 2008-11-26 Randall B. Wayth , Stephen J. Warren , Geraint F. Lewis , Paul C. Hewett

Finding strong gravitational lenses in astronomical images allows us to assess cosmological theories and understand the large-scale structure of the universe. Previous works on lens detection do not quantify uncertainties in lens parameter…

Instrumentation and Methods for Astrophysics · Physics 2022-11-22 Yash Patel , Jeffrey Regier

We present a new gravitational lens modelling technique designed to model high-resolution interferometric observations with large numbers of visibilities without the need to pre-average the data in time or frequency. We demonstrate the…

Instrumentation and Methods for Astrophysics · Physics 2021-01-06 Devon Powell , Simona Vegetti , John P. McKean , Cristiana Spingola , Francesca Rizzo , Hannah R. Stacey

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