环形粒子加速器中的引力波探测 II：利用合成数据进行响应分析与参数估计
Detection of gravitational waves in circular particle accelerators II. Response analysis and parameter estimation using synthetic data
AI总结：
本文通过数值模拟SRGO对毫赫兹引力波的响应生成合成数据，采用MCMC进行源参数估计，证明单个SRGO可借助地球自转实现波源天空定位。
摘要：
我们模拟了储存环引力波天文台（SRGO）对天体物理毫赫兹（mHz）引力波（GWs）的响应，通过数值方法获得其灵敏度曲线以及某些可控实验参数的最优选择。我们还生成了含噪声的合成引力波数据，并使用马尔可夫链蒙特卡洛（MCMC）方法对源属性及其简并性进行参数估计。我们表明，单个SRGO有可能利用地球自转在天空中定位引力波源。我们还研究了源的天空定位面积、质量和距离估计误差随噪声、数据采样率及观测时间的变化关系。最后，我们讨论了SRGO探测毫赫兹引力波事件并约束其参数的能力及其意义。
英文摘要：
We simulate the response of a Storage Ring Gravitational-Wave Observatory (SRGO) to astrophysical millihertz (mHz) gravitational waves (GWs), numerically obtaining its sensitivity curve and optimal choices for some controllable experiment parameters. We also generate synthetic noisy GW data and use Markov Chain Monte Carlo (MCMC) methods to perform parameter estimation of the source properties and their degeneracies. We show that a single SRGO could potentially localize the GW source in the sky using Earth's rotation. We also study the source sky localization area, mass and distance estimation errors as functions of noise, data sampling rate, and observing time. Finally, we discuss, along with its implications, the capacity of an SRGO to detect and constrain the parameters of millihertz GW events.
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