GLANCE – Gravitational Lensing Authenticator using Non-Modelled Cross-Correlation Exploration of Gravitational Wave Signals
arxiv(2024)
摘要
Gravitational lensing is the effect on a lightlike trajectory by the presence
of matter, affecting its trajectory in spacetime. Gravitational lensing of
gravitational waves can occur in geometric optics limit (when GW wavelength is
much smaller than the Schwarzschild radius of the lens i.e. λ_GW≪
R^ sc_ lens, multiple images with different magnifications are
formed) known as strong-lensing or in wave optics limit (when the wavelength of
GW is larger than the Schwarzschild radius i.e. R^ sc_ lens
≲λ_GW, interfering signals produce beating pattern in the
waveform envelope) known as micro-lensing. Currently, large sky-localization
errors of GW sources and strong noise-PSD have barred us from evidencing lensed
GWs. Considering this aspect, we have developed , a novel
technique to detect lensed GWs. We demonstrate that cross-correlation between
the data pieces containing lensed signals shows a very specific trend. The
strength of the cross-correlation signal can quantify the significance of the
event(s) being lensed. Since lensing impacts the inference of the source
parameters, primarily the luminosity distance for the strong lensing case, a
joint parameter estimation of the source and lens-induced parameters is
incorporated in using a Bayesian framework. We applied our
method to simulated strongly lensed data and we have shown that
not only can detect lensed GW signals but also can correctly
infer the injected source and lens parameters even when one of the signals is
below the match-filtered threshold SNR. This demonstrates the capability of
for a robust detection of lensed GW signal from noisy data.
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