标题： 基于Kramers-Kronig关系的模型无关的透镜引力波识别方法 显示英文标题

标题： Towards model-independent identification of lensed gravitational waves using Kramers-Kronig relation

摘要： 微引力透镜引力波（GWs）的观测对于研究宇宙中的质量密度分布（包括黑洞和暗物质晕）至关重要。然而，迄今为止尚未报告过微引力透镜引力波的可靠探测。 识别微引力透镜引力波存在两个重要的挑战。 首先是源波形和透镜结构模型在先验条件下未知。 其次是某些类别的未透镜引力波可能会模仿微引力透镜引力波，导致不必要的误报。 在这项工作中，我们建议使用克雷默斯-克朗尼格关系来处理引力透镜系统。 我们认为这些系统本质上是遵循因果律的线性响应系统，在这种系统中，KK关系必须成立。 这种方法的强大之处在于，无论透镜结构如何，微引力透镜引力波都必须遵守KK关系，而未透镜的引力事件通常并不预期遵守这一关系。 这在原则上使我们能够识别微引力透镜引力波，同时排除微引力透镜的模仿者。 我们提供了利用KK关系的方法论的第一步，并在理想条件下测试了其有用性。 显示英文摘要

摘要： Observations of microlensed gravitational waves (GWs) emanated by compact binary coalescences (CBCs) are essential for studying the mass density distribution in the universe, including black holes and dark matter halos. However, no confident detection of microlensed GWs have been reported to date. There are two important challenges in the identification of microlensed GWs. The first is that the source waveform and lens structure models are not known a-priori. The second is that certain classes of unlensed GWs could mimic microlensed GWs, resulting in undesirable false alarms. In this work, we propose to use the Kramers-Kronig relation for gravitational lensing systems. We argue that such systems are essentially linear response systems obeying causality, where KK relation must hold. The power of this method lies in the fact that microlensed GWs, regardless of the lens structure, must obey KK relation, while unlensed GW events are not in general expected to obey it. This, in principle, allows us to identify microlensed GWs while dismissing microlensing mimickers. We provide the first important steps towards a methodology that exploits KK relation, and test its usefulness under idealized conditions.