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When gravitational waves (GWs) pass by a massive object on its way to Earth, a strong gravitational lensing effect will happen. Thus, the GW signal will be amplified, deflected, and delayed in time. Through analyzing the lensed GW waveform,…

General Relativity and Quantum Cosmology · Physics 2023-10-09 Xin-yi Lin , Jian-dong Zhang , Liang Dai , Shun-Jia Huang , Jianwei Mei

Gravitational waves (GWs) are unique messengers as they travel through the Universe without alteration except for gravitational lensing. Their long wavelengths make them susceptible to diffraction by cosmic structures, providing an…

General Relativity and Quantum Cosmology · Physics 2026-03-12 Juno C. L. Chan , Jose María Ezquiaga , Rico K. L. Lo , Joey Bowman , Lorena Magaña Zertuche , Luka Vujeva

Based on the rate of gravitational-wave (GW) detections by Advanced LIGO and Virgo, we expect these detectors to observe hundreds of binary black hole mergers as they achieve their design sensitivities (within a few years). A small fraction…

General Relativity and Quantum Cosmology · Physics 2018-07-19 K. Haris , Ajit Kumar Mehta , Sumit Kumar , Tejaswi Venumadhav , Parameswaran Ajith

When gravitational waves pass near massive astrophysical objects, they can be gravitationally lensed. The lensing can split them into multiple wave-fronts, magnify them, or imprint beating patterns on the waves. Here we focus on the…

High Energy Astrophysical Phenomena · Physics 2021-11-17 A. Renske A. C. Wierda , Ewoud Wempe , Otto A. Hannuksela , Léon V. E. Koopmans , Chris Van Den Broeck

This article deals with the gravitational lensing (GL) of gravitational waves (GW). We compute the increase in the number of detected GW events due to GL. First, we check that geometrical optics is valid for the GW frequency range on which…

General Relativity and Quantum Cosmology · Physics 2009-11-10 M. Arnaud-Varvella , M. -C. Angonin , Ph. Tourrenc

Real astrophysical lenses typically lack axisymmetry, necessitating the study of gravitational-wave (GW) lensing by elliptical mass distributions to accurately assess detectability and waveform interpretation. We investigate strong lensing…

General Relativity and Quantum Cosmology · Physics 2025-07-08 Saif Ali , Michael Kesden , Lindsay King

Gravitational lensing has been extensively observed for electromagnetic signals, but not yet for gravitational waves (GWs). Detecting lensed GWs will have many astrophysical and cosmological applications, and becomes more feasible as the…

General Relativity and Quantum Cosmology · Physics 2023-12-12 Ángel Garrón , David Keitel

Gravitational waves are theorized to be gravitationally lensed when they propagate near massive objects. Such lensing effects cause potentially detectable repeated gravitational wave patterns in ground- and space-based gravitational wave…

Instrumentation and Methods for Astrophysics · Physics 2020-01-07 Amit Jit Singh , Ivan S. C. Li , Otto A. Hannuksela , Tjonnie G. F. Li , Kyungmin Kim

We study the prospects of detecting continuous gravitational waves (CGWs) from spinning neutron stars (NSs), gravitationally lensed by the galactic supermassive black hole. Assuming various astrophysically motivated spatial distributions of…

General Relativity and Quantum Cosmology · Physics 2023-01-13 Soummyadip Basak , Aditya Kumar Sharma , Shasvath J. Kapadia , Parameswaran Ajith

We propose a new model-independent measurement strategy for the propagation speed of gravitational waves (GWs) based on strongly lensed GWs and their electromagnetic (EM) counterparts. This can be done in two ways: by comparing arrival…

General Relativity and Quantum Cosmology · Physics 2017-04-05 Xi-Long Fan , Kai Liao , Marek Biesiada , Aleksandra Piorkowska-Kurpas , Zong-Hong Zhu

This work describes a template-free method to search gravitational waves (GW) using data from the LIGO observatories simultaneously. The basic idea of this method is that a GW signal is present in a short-duration data segment if the…

General Relativity and Quantum Cosmology · Physics 2021-05-07 Javier M. Antelis , Claudia Moreno

Lensed gravitational wave (GW) events are expected to be powerful new probes of cosmology, contingent on redshift measurement by electromagnetic observations. Host galaxy identification is thus crucial but challenging due to poor…

Cosmology and Nongalactic Astrophysics · Physics 2025-10-15 Zhiwei Chen , Qingjuan Yu , Youjun Lu , Xiao Guo

When a gravitational wave encounters a massive object along the line of sight, repeated copies of the original signal may be produced due to gravitational lensing. In this paper, we develop a series of new machine-learning based statistical…

General Relativity and Quantum Cosmology · Physics 2025-09-09 Giulia Campailla , Marco Raveri , Wayne Hu , Jose María Ezquiaga

Propagating gravitational waves (GWs) can encounter a massive object (lens) whose gravitational radius is comparable to the wavelength of the GWs (wave-optics regime). The resulting `microlensed' signal contains imprints about the…

General Relativity and Quantum Cosmology · Physics 2025-12-23 Gopalkrishna Prabhu , Uddeepta Deka , Sumanta Chakraborty , Shasvath J. Kapadia

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

Microlensing by the stellar field in a strong-lensing galaxy can introduce wave-optics distortions into the waveforms of strongly lensed gravitational waves (SLGWs). If these signals are analyzed with waveform templates that do not include…

Cosmology and Nongalactic Astrophysics · Physics 2026-05-29 Xikai Shan , Huan Yang , Shude Mao , Otto A. Hannuksela

Millilensed gravitational waves (GWs) can potentially be identified by the interference signatures caused by $\sim\!O(10\textrm{--}100)~\textrm{ms}$ time delays between multiple overlapping lensed signals. However, distinguishing…

General Relativity and Quantum Cosmology · Physics 2024-12-04 Anna Liu , Kyungmin Kim

Gravitational microlensing in the wave-optics (WO) regime occurs when the Schwarzschild radius of a lensing object is comparable to or smaller than the wavelength of incoming gravitational waves (GWs), producing chromatic amplitude and…

General Relativity and Quantum Cosmology · Physics 2025-05-21 Aniruddha Chakraborty , Suvodip Mukherjee

The presence of a massive body between the Earth and a gravitational-wave source will produce the so-called gravitational lensing effect. In the case of strong lensing, it leads to the observation of multiple deformed copies of the initial…

General Relativity and Quantum Cosmology · Physics 2024-11-20 Arthur Offermans , Tjonnie G. F. Li

Lensed gravitational waves (GWs) provide a new window into the study of dark matter substructures, yet the faint interference signatures they produce are buried in detector noise. To address this challenge, we develop a deep learning…

Instrumentation and Methods for Astrophysics · Physics 2025-11-25 Mengfei Sun , Jie Wu , Jin Li , Nan Yang , Xianghe Ma , Borui Wang , Minghui Zhang , Yuanhong Zhong