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The gravitational lensing constraints on the small mass end of the LCDM mass function are discussed. Here a conservative approach is taken where only the most difficult to explain image flux anomalies in strong QSO lenses are emphasized.…

Astrophysics · Physics 2009-11-10 R. Benton Metcalf

When the gravitational lensing potential can be approximated by that of circularly symmetric system affected by weak perturbations, it is found that the shape of the resulting (tangential) caustics is entirely specified by the local…

Astrophysics · Physics 2007-05-23 Jin H. An

A method is developed to evaluate the magnifications of the images of galaxies with lensing potentials stratified on similar concentric ellipses. A simple contour integral is provided which enables the sums of the magnifications of even…

Astrophysics · Physics 2009-11-07 N. W. Evans , C. Hunter

We revisit the gravitational lensing phenomenon using a new visualization technique. It consists in projecting the observers sky into the source plane, what gives rise to a folded and stretched surface. This provides a clear graphical tool…

Astrophysics · Physics 2016-12-21 Silvia Mollerach , Esteban Roulet

We develop a new approach for studying flux anomalies in quadruply-imaged fold lens systems. We show that in the absence of substructure, microlensing, or differential absorption, the expected flux ratios of a fold pair can be tightly…

Cosmology and Nongalactic Astrophysics · Physics 2014-11-20 David M. Goldberg , Mary K. Chessey , Wendy B. Harris , Gordon T. Richards

Gravitational lens flux ratio anomalies are a powerful probe of small-scale mass structures, often attributed to dark matter subhalos. However, baryonic components can also play a significant role. This study investigates, for the first…

Cosmology and Nongalactic Astrophysics · Physics 2026-05-29 Xikai Shan , Yunpeng Jin , Shude Mao

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

Compound strong gravitational lensing is a rare phenomenon, but a handful of such lensed systems are likely to be discovered in forthcoming surveys. In this work, we use a double SIS lens model to analytically understand how the properties…

Cosmology and Nongalactic Astrophysics · Physics 2016-01-27 Thomas E. Collett , David J. Bacon

Calculations are presented detailing the gravitational lens diffraction due to the steep brightness gradient of the limb of a stellar source. The lensing case studied is the fold caustic crossing. The limb diffraction signal greatly exceeds…

Astrophysics · Physics 2008-11-26 S. A. Zabel , J. B. Peterson

The multiple images of lensed quasars provide evidence on the mass distribution of the lensing galaxy. The lensing invariants are constructed from the positions of the images, their parities and their fluxes. They depend only on the…

Astrophysics · Physics 2009-11-06 C. Hunter , N. W. Evans

An arbitrary surface mass density of gravitational lens can be decomposed into multipole components. We simulate the ray-tracing for the multipolar mass distribution of generalized SIS (Singular Isothermal Sphere) model, based on the…

Cosmology and Nongalactic Astrophysics · Physics 2013-03-04 Z. Chu , W. P. Lin , G. L. Li , X. Kang

The observed properties of high redshift galaxies depend on the underlying foreground distribution of large scale structure, which distorts their intrinsic properties via gravitational lensing. We focus on the regime where the dominant…

Cosmology and Nongalactic Astrophysics · Physics 2015-06-30 Anastasia Fialkov , Abraham Loeb

The distribution of mass in galaxy-scale strong gravitational lenses is often modelled as an elliptical power law plus 'external shear', which notionally accounts for neighbouring galaxies and cosmic shear. We show that it does not. Except…

Surveys for gravitational lens systems have typically found a significantly larger fraction of lenses with four (or more) images than are predicted by standard ellipsoidal lens models (50% versus 25-30%). We show that including the effects…

Astrophysics · Physics 2009-11-07 J. D. Cohn , C. S. Kochanek

We investigate the statistics of flux anomalies in gravitationally lensed QSOs as a function of dark matter halo properties such as substructure content and halo ellipticity. We do this by creating a very large number of simulated lenses…

Cosmology and Nongalactic Astrophysics · Physics 2015-05-19 R. Benton Metcalf , Adam Amara

We use a simple statistical test to show that the anomalous flux ratios observed in gravitational lenses are created by gravitational perturbations from substructure rather than propagation effects in the interstellar medium or incomplete…

Astrophysics · Physics 2009-11-07 C. S. Kochanek , N. Dalal

Strong lensing by massive galaxies probes their mass distribution, thus providing a window to study their internal structure, i.e., the distributions of luminous and dark matter. In this paper, we investigate the relation between the…

The combination of deep exposures and high resolution offered by telescopes in space allows the detection of lensing over a wide range of source redshifts and lens masses. As an example, we model a lens candidate found in the southern…

Astrophysics · Physics 2007-05-23 Rennan Barkana , David Hogg , Abraham Loeb , Roger Blandford

We study the local behavior of gravitational lensing near fold catastrophes. Using a generic form for the lensing map near a fold, we determine the observable properties of the lensed images, focusing on the case when the individual images…

Astrophysics · Physics 2009-11-07 B. Scott Gaudi , A. O. Petters

Strong gravitational lensing provides unique opportunities to investigate the mass distribution at the cores of galaxy clusters and to study high redshift galaxies. Using $94$ strong lensing models of $74$ cluster fields from the…

Cosmology and Nongalactic Astrophysics · Physics 2022-04-06 Carter Fox , Guillaume Mahler , Keren Sharon , Juan D. Remolina González