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It is expected that gravitational waves, similar to electromagnetic waves, can be gravitationally lensed by intervening matters, producing multiple instances of the same signal arriving at different times from different apparent luminosity distances with different phase shifts compared to the un-lensed signal due to lensing.
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M. Oguri, Strong gravitational lensing of explosive transients, Rept. Prog. Phys. 82
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E. L. Turner, J. P. Ostriker, and I. Gott, J. R., The statistics of gravitational lenses : the distributions of image angular separations and lens redshifts., Astrophys. J. 284
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P. Schneider, J. Ehlers, and E. E. Falco, Gravitational Lenses, XIV, 560 pp. 112 figs.. Springer-Verlag Berlin Heidelberg New York. Also Astronomy and Astrophysics Library (1992) p. 112
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R. Takahashi and T. Nakamura, Wave effects in gravitational lensing of gravitational waves from chirping binaries, Astrophys. J. 595
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J. Skilling, Nested Sampling, in Bayesian Inference and Maximum Entropy Methods in Science and Engineering: 24th International Workshop on Bayesian Inference and Maximum Entropy Methods in Science and Engineering , American Institute of Physics Conference Series, Vol. 735, edited by R. Fischer, R. Preuss, and U. V. Toussaint (2004) pp. 395–405
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N. Seto, Strong gravitational lensing and localization of merging massive black hole binaries with LISA, Phys. Rev. D 69
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J. Aasi et al. (LIGO Scientific), Advanced LIGO, Class. Quant. Grav. 32
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J. Speagle, K. Barbary, G. Ashton, J. Buchner, B. Cook, J. Guillochon, A. A. Ramos, abonaca, P. Cubillos, Ilya, D. Lang, B. Johnson, jtmendel, T. Daylan, R. Angus, P. Cargile, M. Pitkin, J. Leja, D. Goldstein, D. Foreman-Mackey, C. Talbot, and C. Deil, joshspeagle/dynesty: Version 1.0 , https://doi.org/10.5281/zenodo.3461261 (2019)
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Bilby: A user-friendly bayesian inference library , https://git.ligo.org/lscsoft/bilby/-/tree/1.0.2 (2020)
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parallel_bilby: A python package to run gravitational wave inference analyses on multiple cores of a machine using their message passing interface , https://git.ligo.org/lscsoft/parallel_bilby/-/tree/0.1.5 (2020)
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hanabi: Hierarchical bayesian analysis on lensed gw signals using bilby , https://github.com/ricokaloklo/hanabi/tree/0.3.1 (2021)
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