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We show how LIGO is expected to detect coalescing binary black holes at$z>1$, that are lensed by the intervening galaxy population. Gravitationalmagnification, $\mu$, strengthens gravitational wave signals by $\sqrt{\mu}$,without altering their frequencies, which if unrecognised leads to anunderestimate of the event redshift and hence an overestimate of the binarymass. High magnifications can be reached for coalescing binaries because theregion of intense gravitational wave emission during coalescence is so small($\sim$100km), permitting very close projections between lensing caustics andgravitational-wave events. Our simulations incorporate accurate waveformsconvolved with the LIGO power spectral density. Importantly, we include thedetection dependence on sky position and orbital orientation, which for theLIGO configuration translates into a wide spread in observed redshifts andchirp masses. Currently we estimate a detectable rate of lensed events\rateEarly{}, that rises to \rateDesign{}, at LIGO's design sensitivity limit,depending on the high redshift rate of black hole coalescence.

Precise LIGO Lensing Rate Predictions for Binary Black Holes