Gravitational lensing of gravitational waves: effect of microlens population in lensing galaxies

ABSTRACT With increasing sensitivities of the current ground-based gravitational wave (GW) detectors, prospects detecting a strongly lensed GW signal are going to be high in coming years. When such passes through an intervening lensing galaxy or cluster, embedded stellar mass microlenses lead interference patterns that may leave observable signatures. In this work, we present extensive study these effects Laser Interferometer Gravitational Wave Observatory/Virgo frequency band (10–104 Hz) due presence microlens population scale lenses for first time. We consider wide range strong (macro) magnifications and corresponding surface densities found galaxies use them generate realizations amplification factor. The methodologies simulating curves both types images (minima saddle points) also discussed. then how microlensing is broadly affected by parameters like macro-magnifications, densities, initial function, images, distribution around source. general, with macro-magnification values, become increasingly significant regardless other parameters. Mismatch analysis between unlensed waveforms from chirping binaries suggests that, while inferring source parameters, cannot neglected ?15. Furthermore, extremely macro-magnifications ?100, mismatch can even exceed $5{{\ \rm per\ cent}}$, which result missed detection and, consequently, signal.