2004
DOI: 10.1023/b:gerg.0000018085.46454.ff
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Increase of the Number of Detectable Gravitational Waves Signals Due to Gravitational Lensing

Abstract: 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 Earth-based detectors are sensitive, and that this is also partially true for what concerns the future space-based interferometer LISA. To infer this result, both the diffraction parameter and a cut-off frequency are computed. Then, the variation in the number of GW signals … Show more

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Cited by 7 publications
(7 citation statements)
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“…The features of wave dynamics make the fraction of lensed events larger than that optics approximation has ever predicted. This fact motivated many authors to study lensing effects on gravitational waves in the past decade [3][4][5][6][7][8][9][10][11][12][13][14][15][16]. As noted in [4], the lensing effect is very important for the space-based gravitational wave detector LISA [17].…”
Section: Introductionmentioning
confidence: 98%
“…The features of wave dynamics make the fraction of lensed events larger than that optics approximation has ever predicted. This fact motivated many authors to study lensing effects on gravitational waves in the past decade [3][4][5][6][7][8][9][10][11][12][13][14][15][16]. As noted in [4], the lensing effect is very important for the space-based gravitational wave detector LISA [17].…”
Section: Introductionmentioning
confidence: 98%
“…GWs produced by the binary systems have much longer wavelengths than the (visible) light, so the wave optics effects [3,[7][8][9][10] would be strong if the lens is not massive enough. For GWs detectable by the groundbased detectors (1 -10 4 Hz), the geometric optics works if the mass of the lens is larger than about 10 4 M , while for GWs with the frequencies in the LISA band (10 −4 -10 −1 Hz), the lens mass should be at least 10 8 M [11,12]. Despite some interesting phenomena (e.g., diffraction) due to the wave optics [8,13], we would like to concentrate on the geometric optics.…”
Section: Introductionmentioning
confidence: 99%
“…Strong-lensing of GWs had been considered by numerous authors in advance of the advent of direct GW detections (Wang, Stebbins & Turner 1996;Takahashi & Nakamura 2003;Takahashi 2004;Seto 2004;Varvella, Angonin & Tourrenc 2004;Sereno et al 2010Sereno et al , 2011Piórkowska, Biesiada & Zhu 2013;Biesiada et al 2014). In particular, the degeneracy between the luminosity distance to and thus source-frame mass of a GW source, and any gravitational magnification suffered by the source noted by Wang, Stebbins & Turner (1996) is interesting in light of the reported BH masses thus far (see also Dai, Venumadhav & Sigurdson 2017).…”
Section: Introductionmentioning
confidence: 99%