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要旨:
The gravitational lensing effect is important to the detection of electromagnetic signals in astrophysics.
The gravitational wave lensing effect has also been found significant to gravitational wave detection in the
past decade. Recent analysis shows that the lensing events for advanced detectors could be quite plausible.
The black holes in our MilkyWay Galaxy may play the role of lens objects. These facts motivate us to study
the lensing effects on gravitational wave signals for advanced detectors. Taking advanced LIGO and
Einstein Telescope for examples, we investigate the lensing effects on the parameter extraction of
gravitational wave signals. Using the Markov chain Monte Carlo simulation together with matched filtering
methods, we find that the lensing effect for a lens object with small mass is negligible. But when the mass of
the lens object increases to larger than 1000M⊙ the lensing effect becomes important. Using the template
without lensing corrections would result in loss of signal detections. In contrast if we consider templates
with lensing effects, the lensed signal may provide much information about the lens black hole. These facts
may give us a new way to determine the parameters of the lensing object. For example, this kind of signal
may also help us estimate the mass and the distance of the supermassive black hole hosted at the center
of our Galaxy.
