论文标题
使用模型无关的图像参数的强镜重力波的可检测性
Detectability of strongly lensed gravitational waves using model-independent image parameters
论文作者
论文摘要
当来自紧凑型二元系统的GWS靠近大物体的GWS时，引力波（GWS）的强重力透镜发生。透镜信号与释放模板之间的不匹配确定是否可以在特定的GW事件中识别镜头。对于轴对称镜头模型，传统上是根据模型依赖性透镜参数（例如镜头质量$ $ m_l $和源位置$ y $）来计算的。我们建议，以独立于模型的图像参数来参数化此信号是有用的：图像之间的磁通比$ i $和时间延迟$Δt_d$。镜头信号对这些图像参数的功能依赖性要简单得多，这促进了具有适度信噪比的事件的数据分析。在几何典型的近似中，对于任何镜头型号（包括点质量质量（PM）和单数等温线球（SIS）），可以倒入$ i $和$ΔT_D$的约束以限制$ m_l $和$ y $。我们使用与模型无关的图像参数来确定GW信号中重力镜头的可检测性，并发现对于具有信噪比的GW事件$ρ$ $ρ$和总质量$ $ $，原则上应该可以识别镜头$ i \ i \ gtrsim $ i \ gtrsim2ρ^{ - 2} $ delays $ deas $ nays $ nays $ nays-ney-use 2^grs.
Strong gravitational lensing of gravitational waves (GWs) occurs when the GWs from a compact binary system travel near a massive object. The mismatch between a lensed signal and unlensed templates determines whether lensing can be identified in a particular GW event. For axisymmetric lens models, the lensed signal is traditionally calculated in terms of model-dependent lens parameters such as the lens mass $M_L$ and source position $y$. We propose that it is useful to parameterize this signal instead in terms of model-independent image parameters: the flux ratio $I$ and time delay $Δt_d$ between images. The functional dependence of the lensed signal on these image parameters is far simpler, facilitating data analysis for events with modest signal-to-noise ratios. In the geometrical-optics approximation, constraints on $I$ and $Δt_d$ can be inverted to constrain $M_L$ and $y$ for any lens model including the point mass (PM) and singular isothermal sphere (SIS) that we consider. We use our model-independent image parameters to determine the detectability of gravitational lensing in GW signals and find that for GW events with signal-to-noise ratios $ρ$ and total mass $M$, lensing should in principle be identifiable for flux ratios $I \gtrsim 2ρ^{-2}$ and time delays $Δt_d \gtrsim M^{-1}$.
