论文标题
搜索各向异性随机重力波背景的角度分辨率具有陆地重力波检测器
Angular Resolution of the Search for Anisotropic Stochastic Gravitational-Wave Background with Terrestrial Gravitational-Wave Detectors
论文作者
论文摘要
我们通过将重力波天空分解为球形谐波成分，考虑对随机重力波（GW）背景的各向异性搜索。先前的分析使用了衍射极限来定义此搜索中使用的最高阶段球形谐波组件。我们通过测试我们检测和定位模拟的GW信号的能力来研究该搜索的角度分辨率是否确实是衍射限制的。我们表明，尽管使用低阶球形谐波模式对于最初检测GW来源是最佳的，但根据衍射极限参数，检测到的源可以更好地使用高阶球形谐波定位。此外，我们讨论了恢复模拟的GW源的能力如何受网络中检测器的数量，执行搜索的频率范围以及GW Skymap的协方差矩阵的方法的影响。虽然我们主要考虑本研究中的点源信号，但我们将方法简要地应用于空间扩展的来源，并讨论我们对此类信号的分析的潜在修改。
We consider an anisotropic search for the stochastic gravitational-wave (GW) background by decomposing the gravitational-wave sky into its spherical harmonics components. Previous analyses have used the diffraction limit to define the highest-order spherical harmonics components used in this search. We investigate whether the angular resolution of this search is indeed diffraction-limited by testing our ability to detect and localize simulated GW signals. We show that while using low-order spherical harmonics modes is optimal for initially detecting GW sources, the detected sources can be better localized with higher-order spherical harmonics than expected based on the diffraction limit argument. Additionally, we discuss how the ability to recover simulated GW sources is affected by the number of detectors in the network, the frequency range over which the search is performed, and the method by which the covariance matrix of the GW skymap is regularized. While we primarily consider point-source signals in this study, we briefly apply our methodology to spatially-extended sources and discuss potential future modifications of our analysis for such signals.
