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The joint detection of GW signals by a network of instruments will increasethe detecting ability of faint and far GW signals with higher signal-to-noiseratios (SNRs), which could improve the ability of detecting the lensed GWs aswell, especially for the 3rd generation detectors, e.g. Einstein Telescope (ET)and Cosmic Explorer (CE). However, identifying Strongly Lensed GravitationalWaves (SLGWs) is still challenging. We focus on the identification ability of3G detectors in this article. We predict and analyze the SNR distribution ofSLGW signals and prove only 50.6\% of SLGW pairs detected by ET alone can beidentified by Lens Bayes factor (LBF), which is a popular method at present toidentify SLGWs. For SLGW pairs detected by CE\&ET network, owing to thesuperior spatial resolution, this number rises to 87.3\%. Moreover, we get anapproximate analytical relation between SNR and LBF. We give clear SNR limitsto identify SLGWs and estimate the expected yearly detection rates ofgalaxy-scale lensed GWs that can get identified with 3G detector network.

Identifying Strongly Lensed Gravitational Waves with the Third-generation Detectors