In a curvature-coupled propagation framework for modified gravity, gravitational-wave lensing in wave optics shows persistent infrared interactions that prevent the amplification factor from approaching unity at zero frequency, requiring an interacting Green function and partial-wave treatment.
Strong lensing of gravitational waves as seen by LISA
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abstract
We discuss strong gravitational lensing of gravitational waves from merging of massive black hole binaries in the context of the LISA mission. Detection of multiple events would provide invaluable information on competing theories of gravity, evolution and formation of structures and, with complementary observations, constraints on H_0 and other cosmological parameters. Most of the optical depth for lensing is provided by intervening massive galactic halos, for which wave optics effects are negligible. Probabilities to observe multiple events are sizable for a broad range of formation histories. For the most optimistic models, up to 4 multiple events with a signal to noise ratio >= 8 are expected in a 5-year mission. Chances are significant even for conservative models with either light (<= 60%) or heavy (<= 40%) seeds. Due to lensing amplification, some intrinsically too faint signals are brought over threshold (<= 2 per year).
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Subhalos produce percent-level modulations in saddle and minimum images; matched-filter analysis yields >5σ combined detections in 62% of realizations for fiducial sources near caustics, projecting 10-20 substructure detections over the LISA mission.
Strong lensing of MBHBs produces identifiable beat patterns in about 7% of detectable two-image LISA events, with Bayesian inference recovering time delay and magnification parameters.
Neural spline flows perform fast posterior inference on 11-dimensional millilensed GW parameters with accuracy comparable to dynesty for most quantities and a 3-day to 0.8-second speedup.
Bayesian analysis of simulated Taiji observations shows microlensing from lenses above 10^5 solar masses can be distinguished from unlensed DWD signals when separation is below 3 Einstein radii, while lower masses or larger separations cannot.
citing papers explorer
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Wave-optics gravitational wave lensing in modified gravity
In a curvature-coupled propagation framework for modified gravity, gravitational-wave lensing in wave optics shows persistent infrared interactions that prevent the amplification factor from approaching unity at zero frequency, requiring an interacting Green function and partial-wave treatment.
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Wave-optics imprints of dark matter subhalos on strongly lensed gravitational waves. II. Saddle images and detectability
Subhalos produce percent-level modulations in saddle and minimum images; matched-filter analysis yields >5σ combined detections in 62% of realizations for fiducial sources near caustics, projecting 10-20 substructure detections over the LISA mission.
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Identification of Lensed Gravitational-Wave Beat Patterns by LISA
Strong lensing of MBHBs produces identifiable beat patterns in about 7% of detectable two-image LISA events, with Bayesian inference recovering time delay and magnification parameters.
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Parameter inference of millilensed gravitational waves using neural spline flows
Neural spline flows perform fast posterior inference on 11-dimensional millilensed GW parameters with accuracy comparable to dynesty for most quantities and a 3-day to 0.8-second speedup.
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Bayesian Analysis of Gravitational Wave Microlensing Effects from Galactic Double White Dwarfs
Bayesian analysis of simulated Taiji observations shows microlensing from lenses above 10^5 solar masses can be distinguished from unlensed DWD signals when separation is below 3 Einstein radii, while lower masses or larger separations cannot.