引力波探测器网络角分辨率的几何表达式
Geometrical Expression for the Angular Resolution of a Network of Gravitational-Wave Detectors
摘要：
我们报告的第一次一般几何表达式的任意网络的干涉引力波（GW）探测器的角分辨率时，GW的到达时间是未知的。我们明确地示出了决定GW检测器网络的角分辨率的元素。特别是，我们示出的角分辨率的依赖性对探测器的投影所形成的区域，以及它们是如何加权的灵敏度的个别探测器。数值模拟被用来证明当前GW检测器网络的能力。我们确认，角分辨率是沿着目前的LIGO-Virgo探测器形成的平面差。如果将所提出的新GW检测器LCGT或AIGO添加到网络中，则可以实现角分辨率的几倍到十倍以上的改进。我们还讨论了我们的研究结果的GW探测器网络的设计，最佳定位方法为一个给定的网络，和电磁后续观测的影响。
英文摘要：
We report for the first time general geometrical expressions for the angular resolution of an arbitrary network of interferometric gravitational-wave (GW) detectors when the arrival-time of a GW is unknown. We show explicitly elements that decide the angular resolution of a GW detector network. In particular, we show the dependence of the angular resolution on areas formed by projections of pairs of detectors and how they are weighted by sensitivities of individual detectors. Numerical simulations are used to demonstrate the capabilities of the current GW detector network. We confirm that the angular resolution is poor along the plane formed by current LIGO-Virgo detectors. A factor of a few to more than ten fold improvement of the angular resolution can be achieved if the proposed new GW detectors LCGT or AIGO are added to the network. We also discuss the implications of our results for the design of a GW detector network, optimal localization methods for a given network, and electromagnetic follow-up observations.
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