  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. Previously, it has been shown that the effects of microlenses on
strongly-lensed type-I images could be negligible in practice, at least in the
low magnification regime. In this work, we study the same effect on type-II
strongly-lensed images by computing the microlensing amplification factor. As
opposed to being magnified, type-II images are typically demagnified. Moreover,
microlensing on top of type-II images induces larger mismatches with
un-microlensed waveforms than type-I images. These results are broadly
consistent with recent literature and serve to confirm the findings. In
addition, we investigate the possibility of detecting and analysing microlensed
signals through Bayesian parameter estimation with an isolated point mass lens
template, which has been adopted in recent parameter estimation literature. In
particular, we simulate gravitational waves microlensed by a microlens embedded
in a galaxy potential near moderately magnified type-I and II macroimages, with
variable lens masses, source parameters and macromagnifcations. Generally, an
isolated point mass model could be used as an effective template to detect a
type-II microlensed image but not for type-I images, demonstrating the
necessity for more realistic microlensing search templates.
