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Identifying Type-II Strongly-Lensed Gravitational-Wave Images in Third-Generation Gravitational-Wave Detectors

Wang, Yijun and Lo, Rico K. L. and Li, Alvin K. Y. and Chen, Yanbei (2021) Identifying Type-II Strongly-Lensed Gravitational-Wave Images in Third-Generation Gravitational-Wave Detectors. . (Submitted)

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Strong gravitational lensing is a gravitational wave (GW) propagation effect that influences the inferred GW source parameters and the cosmological environment. Identifying strongly-lensed GW images is challenging as waveform amplitude magnification is degenerate with a shift in the source intrinsic mass and redshift. However, even in the geometric-optics limit, Type-II strongly-lensed images cannot be fully matched by Type-I (or unlensed) waveform templates, especially with large binary mass ratios and orbital inclination angles. We propose to use this mismatch to distinguish individual Type-II images. Using planned noise spectra of Cosmic Explorer, Einstein Telescope and LIGO Voyager, we show that a significant fraction of Type-II images can be distinguished from unlensed sources, given sufficient SNR (∼30). Incorporating models on GW source population and lens population, we predict that the yearly detection rate of lensed GW sources with detectable Type-II images is 172.2, 118.2 and 27.4 for CE, ET and LIGO Voyager, respectively. Among these detectable events, 33.1%, 7.3% and 0.22% will be distinguishable via their Type-II images with a log Bayes factor larger than 10. We conclude that such distinguishable events are likely to appear in the third-generation detector catalog; our strategy will significantly supplement existing strong lensing search strategies.

Item Type:Report or Paper (Discussion Paper)
Related URLs:
URLURL TypeDescription Paper
Lo, Rico K. L.0000-0003-1561-6716
Chen, Yanbei0000-0002-9730-9463
Additional Information:YW would like to thank the David and Ellen Lee Distinguished Fellowship for support during this research. Research of YW and YC are supported by the Simons Foundation (Award Number 568762), and the National Science Foundation, through Grants PHY-2011961, PHY-2011968, and PHY- 1836809. RKLL would also like to thank the Croucher Foundation for support during this research. The computations presented here were conducted on the Caltech High Performance Cluster partially supported by a grant from the Gordon and Betty Moore Foundation. This paper carries LIGO Document Number LIGO-P2100002.
Funding AgencyGrant Number
David and Ellen Lee Postdoctoral ScholarshipUNSPECIFIED
Simons Foundation568762
Croucher FoundationUNSPECIFIED
Gordon and Betty Moore FoundationUNSPECIFIED
Other Numbering System:
Other Numbering System NameOther Numbering System ID
LIGO DocumentP2100002
Record Number:CaltechAUTHORS:20210316-114358954
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Usage Policy:No commercial reproduction, distribution, display or performance rights in this work are provided.
ID Code:108451
Deposited By: Tony Diaz
Deposited On:19 Mar 2021 00:43
Last Modified:19 Mar 2021 00:43

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