Gravitational lensing describes the bending of the trajectories of light and gravitational waves due to the gravitational potential of a massive object. Strong lensing by galaxies can create multiple images with different overall amplifications, arrival times, and image types. If, furthermore, the gravitational wave encounters a star along its trajectory, microlensing will take place. Our previous research studied the effects of microlenses on strongly-lensed type I images. We extend our research to type II strongly-lensed images to complete the story. Our results are broadly consistent with prior work by other groups. As opposed to being magnified, the type II images are typically demagnified. Moreover, the type II images produce larger mismatches than type I images. Similar to our prior work, we find that the wave optics effects significantly suppress microlensing in the stellar-mass limit. We also discuss the implication of our results for a particularly promising method to use strong lensing to detect microlensing. In the future, it will be crucial to incorporate these microlensed waveforms in gravitational-wave lensing searches.
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