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Recently, a lot of effort has been dedicated to developing next-generation optoelectronic devices based on two-dimensional materials, thanks to their unique optical properties that are significantly different from those of their bulk…

Weak gravitational lensing is normally assumed to have only two principle effects: a magnification of a source and a distortion of the sources shape in the form of a shear. However, further distortions are actually present owing to changes…

General Relativity and Quantum Cosmology · Physics 2015-12-02 Chris Clarkson

This is a general work on gravitational lensing. We present new expressions for the optical scalars and the deflection angle in terms of the energy-momentum tensor components of matter distributions. Our work generalizes standard references…

General Relativity and Quantum Cosmology · Physics 2011-05-12 Emanuel Gallo , Osvaldo M. Moreschi

We present a generalization of the concept of magnification bias for gravitationally-lensed quasars, in which the quasars are selected by flux in more than one wavelength band. To illustrate the principle, we consider the case of two-band…

Astrophysics · Physics 2009-11-07 J. Stuart B. Wyithe , Joshua N. Winn , David Rusin

In this brief communication a new method is outlined for modelling magnification patterns on an observer's plane using a first order approximation to the null geodesic path equations for a point mass lens. For each ray emitted from a…

Instrumentation and Methods for Astrophysics · Physics 2017-02-08 S. J. Walters , L. K. Forbes

Wave-optics effects in strongly lensed gravitational waves (GWs) provide a new interferometric probe of dark matter substructure. We compute the full diffraction integral for GWs propagating through statistically generated cold dark matter…

Cosmology and Nongalactic Astrophysics · Physics 2026-03-05 Shin'ichiro Ando

It is well known that magnification bias, the modulation of galaxy or quasar source counts by gravitational lensing, can change the observed angular correlation function. We investigate magnification-induced changes to the shape of the…

Astrophysics · Physics 2008-12-18 Marilena LoVerde , Lam Hui , Enrique Gaztanaga

If a gravitational microlensing event is caused by a widely separated binary lens and the source approaches both lens components, the source flux is successively magnified by the individual lenses: double microlensing events. If events are…

Astrophysics · Physics 2009-11-07 Cheongho Han , Byeong-Gon Park , Wonyong Han , Young Woon Kang

Waveforms of gravitational waves provide information about a variety of parameters for the binary system merging. However, standard calculations have been performed assuming a FLRW universe with no perturbations. In reality this assumption…

General Relativity and Quantum Cosmology · Physics 2019-10-10 Daniele Bertacca , Alvise Raccanelli , Nicola Bartolo , Sabino Matarrese

We study lensing of gravitational waves by a black hole in the deep wave optics regime, i.e. when the wavelength is much larger than the black hole Schwarzschild radius. We apply it to triple systems, with a binary of stellar mass objects…

General Relativity and Quantum Cosmology · Physics 2024-04-11 Martin Pijnenburg , Giulia Cusin , Cyril Pitrou , Jean-Philippe Uzan

Like light, gravitational waves can be gravitationally lensed by massive astrophysical objects. Strong gravitational lensing by galaxies and galaxy clusters is anticipated to become observable in the coming years. This phenomenon will…

General Relativity and Quantum Cosmology · Physics 2025-06-03 Leo C. Y. Ng , Justin Janquart , Hemantakumar Phurailatpam , Harsh Narola , Jason S. C. Poon , Chris Van Den Broeck , Otto A. Hannuksela

It is of fundamental importance to know the mass of gravitons. A simple method for constraining the graviton mass is to compare the arrival time of light and that of gravitational waves provided that both waves are simultaneously emitted…

General Relativity and Quantum Cosmology · Physics 2020-02-10 Takuya Morita , Jiro Soda

Dark matter caustics have specific density profiles and, therefore, precisely calculable gravitational lensing properties. We present a formalism which simplifies the relevant calculations, and apply it to four specific cases. In the first…

Astrophysics · Physics 2009-11-07 C. Charmousis , V. Onemli , Z. Qiu , P. Sikivie

When gravitational waves pass through the nuclear star clusters of galactic lenses, they may be microlensed by the stars. Such microlensing can cause potentially observable beating patterns on the waveform due to waveform superposition and…

High Energy Astrophysical Phenomena · Physics 2021-03-10 Mark H. Y. Cheung , Joseph Gais , Otto A. Hannuksela , Tjonnie G. F. Li

We analyzed the influence of static gravitational field on the vacuum and proposed the concept of inhomogeneous vacuum. According to the corresponding Fermat's principle in the general relativity, we derived a graded refractive index of…

General Relativity and Quantum Cosmology · Physics 2009-11-13 Xing-Hao Ye , Qiang Lin

We study the influence of general lens and source velocities on the gravitational deflection of light by single and two-point-mass microlenses with general axis orientation. We demonstrate that in all cases the lens equation preserves its…

Astrophysics · Physics 2009-11-10 David Heyrovsky

A gravitational lens system can be perturbed by "rogue systems" in angular proximities but at different distances. A point mass perturbed by another point mass can be considered as a large separation approximation of the double scattering…

Astrophysics of Galaxies · Physics 2009-11-17 Sun Hong Rhie , Clara S. Bennett

An overview is given on those theoretical gravitational lensing results that can be formulated in a spacetime setting, without assuming that the gravitational fields are weak and that the bending angles are small. The first part is devoted…

General Relativity and Quantum Cosmology · Physics 2016-11-15 Volker Perlick

How does the appearance of a strongly lensed system change if a gravitational wave is produced by the lens? In this work we address this question by considering a supermassive black hole binary at the center of the lens emitting…

Cosmology and Nongalactic Astrophysics · Physics 2025-07-29 Leonardo Giani , Cullan Howlett , Tamara M. Davis

In the standard gravitational lensing scenario, rays from a background source are bent in the direction of a foreground lensing mass distribution. Diverging lens behaviour produces deflections in the opposite sense to gravitational lensing,…

Astrophysics of Galaxies · Physics 2018-01-31 Xinzhong Er , Adam Rogers
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