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The study of light lensed by cosmic matter has yielded much information about astrophysical questions. Observations are explained using geometrical optics following a ray-based description of light. After deflection the lensed light…

Instrumentation and Methods for Astrophysics · Physics 2023-06-22 Valeria Rodriguez-Fajardo , Thao P. Nguyen , Kiyan S. Hocek , Jacob M. Freedman , Enrique J. Galvez

Gravitational lensing in clusters of galaxies is an efficient tool to probe the mass distribution of galaxies and clusters, high redshift objects thanks to the gravitational amplification, and the geometry of the universe. We review some…

Astrophysics · Physics 2009-10-31 M. Hattori , J. -P. Kneib , N. Makino

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

Gravitational microlensing is a key probe of the nature of dark matter and its distribution on the smallest scales. For many practical purposes, confronting theory to observation requires to model the probability that a light source is…

Cosmology and Nongalactic Astrophysics · Physics 2020-04-29 Pierre Fleury , Juan García-Bellido

We study approximate solutions of the gravitational lens equation and corresponding lens magnification factor near the critical point. This consideration is based on the Taylor expansion of the lens potential in powers of coordinates and an…

Cosmology and Nongalactic Astrophysics · Physics 2013-01-01 A. N. Alexandrov , S. M. Koval , V. I. Zhdanov

Can a gravitational lens magnify gravity? Leading theories of gravity likely indicate "no", but the possibility might be testable by using our Sun as a gravitational lens and carefully aligning a satellite past the minimum transparent focal…

Astrophysics · Physics 2009-11-10 Robert J. Nemiroff

Gravitational waves act like lenses for the light propagating through them. This phenomenon is described using the vector formalism employed for ordinary gravitational lenses, which was proved to be applicable also to a non-stationary…

Astrophysics · Physics 2014-10-13 Valerio Faraoni

These lectures give an introduction to Gravitational Lensing. We discuss lensing by point masses, lensing by galaxies, and lensing by clusters and larger-scale structures in the Universe. The relevant theory is developed and applications to…

Astrophysics · Physics 2009-09-25 Ramesh Narayan , Matthias Bartelmann

The laws of geometric optics and their corrections are derived for scalar, electromagnetic, and gravitational waves propagating in generic curved spacetimes. Local peeling-type results are obtained, where different components of…

General Relativity and Quantum Cosmology · Physics 2019-01-08 Abraham I. Harte

In this article, we discuss the idea of gravitational lensing, from a systematic, historical and didactic point of view. We show how the basic lensing equation together with the concepts of geometrical optics opens a space of implications…

History and Philosophy of Physics · Physics 2019-05-20 Tilman Sauer , Tobias Schütz

Most research on astrophysical lensing has been conducted using the geometric optics framework, where there exists a clear concept of lensing images. However, wave optics effects can be important for coherent sources, e.g. pulsars, fast…

Instrumentation and Methods for Astrophysics · Physics 2024-10-29 Xun Shi

The information about lensed gravitational waves is encapsulated by an amplification factor, which is calculated by an integration of an oscillatory function. The Born approximation, which has been studied in terms of wave optics in…

Cosmology and Nongalactic Astrophysics · Physics 2025-04-25 Hirotaka Yarimoto , Masamune Oguri

The gravitational lensing of gravitational waves should be treated in the wave optics instead of the geometrical optics when the wave length $\lambda$ of the gravitational waves is larger than the Schwarzschild radius of the lens mass $M$.…

Astrophysics · Physics 2009-11-10 Ryuichi Takahashi

Gravitational lensing has become one of the most interesting tools to study the mass distribution in the Universe. Since gravitational light deflection is independent of the nature and state of the matter, it is ideally suited to…

Astrophysics · Physics 2007-05-23 Peter Schneider

We use comparisons between the shapes of gravitational lens galaxies and models for their mass distributions to derive statistical constraints on the alignment of the mass distribution relative to the observed lens galaxy and on the…

Astrophysics · Physics 2017-08-23 C. S. Kochanek

Strong gravitational lenses allow us to peer into the farthest reaches of space by bending the light from a background object around a massive object in the foreground. Unfortunately, these lenses are extremely rare, and manually finding…

Instrumentation and Methods for Astrophysics · Physics 2022-10-24 Stephen Sheng , Keerthi Vasan G. C , Chi Po Choi , James Sharpnack , Tucker Jones

We investigate the finite source size effect in the context of the wave optics in the gravitational lensing. The magnification of an extended source is presented in an analytic manner for the singular isothermal sphere lens model as well as…

Astrophysics · Physics 2009-11-11 Norihito Matsunaga , Kazuhiro Yamamoto

We consider the possible effects of gravitational lensing by globular clusters on gravitational waves from asymmetric neutron stars in our galaxy. In the lensing of gravitational waves, the long wavelength, compared with the usual case of…

General Relativity and Quantum Cosmology · Physics 2016-11-15 Andrew J. Moylan , David E. McClelland , Susan M. Scott , Antony C. Searle , G. V. Bicknell

Compact objects with magnetic dipole are considered as gravitational lenses. The presence of strong magnetic field near the photon sphere can affect the trajectory of light. We compute the deflection angle near the photon sphere on the…

General Relativity and Quantum Cosmology · Physics 2025-09-03 Jin Young Kim

There is increasing interest in extended source effects in microlensing events, as probes of the unresolved sources. Previous work has either presumed a uniform source, or else required an approximate or numerical treatment of the…

Astrophysics · Physics 2007-05-23 Norman Gray