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We consider the scattering of the gravitational waves by the weak gravitational fields of lens objects. We obtain the scattered gravitational waveform by treating the gravitational potential of the lens to first order, i.e. using the Born…

Astrophysics · Physics 2009-11-10 Ryuichi Takahashi , Teruaki Suyama , Shugo Michikoshi

Every signal propagating through the universe is at least weakly lensed by the intervening gravitational field. In some situations, wave-optics phenomena (diffraction, interference) can be observed as frequency-dependent modulations of the…

General Relativity and Quantum Cosmology · Physics 2023-11-30 Stefano Savastano , Giovanni Tambalo , Hector Villarrubia-Rojo , Miguel Zumalacarregui

Gravitational lensing by spinning stars, approximated as homogeneous spheres, is discussed in the weak field limit. Dragging of inertial frames, induced by angular momentum of the deflector, breaks spherical symmetry. I examine how the…

Astrophysics · Physics 2009-11-10 M. Sereno

Gravitational waves can act like gravitational lenses, affecting the observed positions, brightnesses, and redshifts of distant objects. Exact expressions for such effects are derived here in general relativity, allowing for…

General Relativity and Quantum Cosmology · Physics 2015-08-26 Abraham I. Harte

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

In general relativity (GR), gravitational waves (GWs) propagate the well-known plus and cross polarization modes which are the signature of a massless spin-2 field. However, diffraction of GWs caused by intervening objects along the line of…

General Relativity and Quantum Cosmology · Physics 2022-01-12 Charles Dalang , Giulia Cusin , Macarena Lagos

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 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

We initiate the study of gravitational-wave lensing in the wave-optics regime within modified gravity. We consider a phenomenological setup in which the gravitational-wave amplitude obeys a curvature-coupled propagation equation. This…

General Relativity and Quantum Cosmology · Physics 2026-05-27 Alice Garoffolo , Gianmassimo Tasinato

Just like light, gravitational waves (GWs) are deflected and magnified by gravitational fields as they propagate through the Universe. However, their low frequency, phase coherence and feeble coupling to matter allow for distinct lensing…

Cosmology and Nongalactic Astrophysics · Physics 2023-11-29 Giovanni Tambalo , Miguel Zumalacárregui , Liang Dai , Mark Ho-Yeuk Cheung

In the gravitational lensing of gravitational waves, the wave optics should be used instead of the geometrical optics when the wavelength $\lambda$ of the gravitational waves is longer than the Schwarzschild radius of the lens mass $M_L$.…

Astrophysics · Physics 2009-11-07 Ryuichi Takahashi , Takashi Nakamura

Gravitational waves exhibit the unique signature of their spin-2 nature in processes of wave scattering, due to the interaction between spin and a background spacetime. Since the spin effect is more pronounced for longer wavelengths and…

General Relativity and Quantum Cosmology · Physics 2024-12-09 Kei-ichiro Kubota , Shun Arai , Hayato Motohashi , Shinji Mukohyama

The curved spacetime induced by gravitational waves can give rise to visual effects such as geometric distortions and redshift structures in the observed image. By establishing a mapping from the object's surface coordinates to the…

General Relativity and Quantum Cosmology · Physics 2024-04-12 Ke Wang , Chao-Jun Feng

Gravitational lensing of electromagnetic (EM) waves has yielded many profound discoveries across fundamental physics, astronomy, astrophysics, and cosmology. Similar to EM waves, gravitational waves (GWs) can also be lensed. When their…

General Relativity and Quantum Cosmology · Physics 2026-01-28 Zhao-Feng Wu , Otto A. Hannuksela , Martin Hendry , Quynh Lan Nguyen

Typical applications of gravitational lensing use the properties of electromagnetic or gravitational waves to infer the geometry through which those waves propagate. Nevertheless, the optical fields themselves - as opposed to their…

General Relativity and Quantum Cosmology · Physics 2019-12-10 Abraham I. Harte

Gravitational lensing by gravitational wave is considered. We notice that although final and initial direction of photons coincide, displacement between final and initial trajectories occurs. This displacement is calculated analytically for…

Astrophysics · Physics 2009-01-31 G. S. Bisnovatyi-Kogan , O. Yu. Tsupko

A possible wave effect in the gravitational lensing phenomenon is discussed. We consider the interference of two coherent gravitational waves of slightly different frequencies from a compact binary, due to the gravitational lensing by a…

Astrophysics · Physics 2009-11-11 Kazuhiro Yamamoto

Wave-optics phenomena in gravitational lensing occur when the signal's wavelength is commensurate to the gravitational radius of the lens. Although potentially detectable in lensed gravitational waves, fast radio bursts and pulsars,…

General Relativity and Quantum Cosmology · Physics 2025-06-20 Hector Villarrubia-Rojo , Stefano Savastano , Miguel Zumalacárregui , Lyla Choi , Srashti Goyal , Liang Dai , Giovanni Tambalo

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

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