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We consider binary black holes (BBHs) in a hierarchical triple system where amore compact, less-massive binary is emitting detectable gravitational waves(GWs), and the tertiary is a supermassive BH at the center of a nuclear starcluster. As previous works have shown, the orbital motion of the outer binarycan generate a detectable relativistic Doppler boost of the GWs emitted by theorbiting inner binary. We show here that for outer-binary orbits with a periodof order one year, there can be a non-negligible probability for repeatedgravitational lensing of the GWs emitted by the inner binary. Repeatinggravitational lensing events could be detected by the LISA observatory asperiodic GW amplitude spikes before the BBH enters the LIGO band. Such adetection would confirm the origin of some BBH mergers in nuclear starclusters. GW lensing also offers new testing grounds for strong gravity.

Repeated Gravitational Lensing of Gravitational Waves in Hierarchical Black Hole Triples