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Strong lensing of gravitational waves (GWs) is attracting growing attentionof the community. The event rates of lensed GWs by galaxies were predicted innumerous papers, which used some approximations to evaluate the GW strainsdetectable by a single detector. The joint-detection of GW signals by a networkof instruments will increase the detecting ability of fainter and farther GWsignals, which could increase the detection rate of the lensed GWs, especiallyfor the 3rd generation detectors, e.g., Einstein Telescope (ET) and CosmicExplorer (CE). Moreover, realistic GW templates will improve the accuracy ofthe prediction. In this work, we consider the detection of galaxy-scale lensedGW events under the 2nd, 2.5th, and 3rd generation detectors with the networkscenarios and adopt the realistic templates to simulate GW signals. Ourforecast is based on the Monte Carlo technique which enables us to take Earth'srotation into consideration. We find that the overall detection rate isimproved, especially for the 3rd generation detector scenarios. More precisely,it increases by ~37% adopting realistic templates, and under network detectionstrategy, further increases by ~58% comparing with adoption of the realistictemplates, and we estimate that the 3rd generation GW detectors will detecthundreds lensed events per year. The effect from the Earth's rotation isweakened in the detector network strategy.

Event rate predictions of strongly lensed gravitational waves with detector networks and more realistic templates