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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

When gravitational waves propagate near massive objects, their paths curve resulting in gravitational lensing, which is expected to be a promising new instrument in astrophysics. If the time delay between different paths is comparable with…

General Relativity and Quantum Cosmology · Physics 2022-07-14 Oleg Bulashenko , Helena Ubach

To recognize gravitational wave lensing events and being able to differentiate between similar lens models will be of crucial importance once one will be observing several lensing events of gravitational waves per year. In this work, we…

Cosmology and Nongalactic Astrophysics · Physics 2021-12-03 Paolo Cremonese , David F. Mota , Vincenzo Salzano

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

Wave effects are often neglected in microlensing studies; however, for coherent point-like sources, such as pulsars and fast radio bursts (FRBs), wave effects will become important in their gravitational lensing. In this paper, we describe…

High Energy Astrophysical Phenomena · Physics 2020-08-12 Dylan L. Jow , Simon Foreman , Ue-Li Pen , Wei Zhu

We discuss the amplitude and phase fluctuations of gravitational waves due to wave optics lensing in the presence of both a strong lens and cosmological weak lenses. By applying the geometric optics approximation to the strong lens and…

Cosmology and Nongalactic Astrophysics · Physics 2026-04-03 Yuta Nakazono , Teruaki Suyama

The mass-sheet degeneracy is a well-known problem in gravitational lensing which limits our capability to infer astrophysical lens properties or cosmological parameters from observations. As the number of gravitational wave observations…

Cosmology and Nongalactic Astrophysics · Physics 2021-07-07 Paolo Cremonese , Jose María Ezquiaga , Vincenzo Salzano

Wave-mechanical effects in gravitational lensing have long been predicted, and with the discovery of populations of compact transients such as gravitational wave events and fast radio bursts, may soon be observed. We present an observer's…

High Energy Astrophysical Phenomena · Physics 2023-04-04 Calvin Leung , Dylan Jow , Prasenjit Saha , Liang Dai , Masamune Oguri , Léon V. E. Koopmans

Gravitational wave (GW) astronomy offers the potential to probe the wave-optics regime of gravitational lensing. Wave optics (WO) effects are relevant at low frequencies, when the wavelength is comparable to the characteristic lensing time…

General Relativity and Quantum Cosmology · Physics 2023-09-06 Giovanni Tambalo , Miguel Zumalacárregui , Liang Dai , Mark Ho-Yeuk Cheung

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

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

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 discuss how small-scale density perturbations on the Fresnel scale affect amplitudes and phases of gravitational waves that are magnified by gravitational lensing in geometric optics. We derive equations that connect the small-scale…

Cosmology and Nongalactic Astrophysics · Physics 2022-09-07 Masamune Oguri , Ryuichi Takahashi

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

We discuss the wave optical effects in gravitational lens systems with two point mass lenses in two different lens planes. We identify and vary parameters (i.e., lens masses, related distances, and their alignments) related to the lens…

Cosmology and Nongalactic Astrophysics · Physics 2022-07-06 Rahul Ramesh , Ashish Kumar Meena , J S Bagla

Gravitational waves emitted from compact binary coalescence can be subject to wave diffraction if they are gravitationally lensed by an intervening mass clump whose Schwarzschild timescale matches the wave period. Waves in the ground-based…

General Relativity and Quantum Cosmology · Physics 2018-11-28 Liang Dai , Shun-Sheng Li , Barak Zackay , Shude Mao , Youjun Lu

Continuous gravitational waves are analogous to monochromatic light and therefore could be used to detect wave effects like interference or diffraction. This would be possible with strongly lensed gravitational waves. This article reviews…

General Relativity and Quantum Cosmology · Physics 2022-02-02 Marek Biesiada , Sreekanth Harikumar

It is standard practice to study the lensing of gravitational waves (GW) using the geometric optics regime. However, in many astrophysical configurations this regime breaks down as the wavelength becomes comparable to the Schwarzschild…

General Relativity and Quantum Cosmology · Physics 2020-02-26 Giulia Cusin , Macarena Lagos

With the discovery of gravitational waves and fast radio bursts, wave optics has become increasingly relevant in astrophysics. This paper studies the behaviour of random gravitational and plasma lenses, presenting the refractive and…

Cosmology and Nongalactic Astrophysics · Physics 2026-02-26 Job Feldbrugge , Samuel Crew , Ue-Li Pen

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
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