论文标题
时间延迟干涉测量通道对随机重力波背景检测的影响
Impact of combinations of time-delay interferometry channels on stochastic gravitational wave background detection
论文作者
论文摘要
提出了时间延迟干涉法（TDI）的方法，以取消太空传播重力波检测器中的激光噪声。在所有不同的TDI组合中，最常用的组合是正交通道A，E和T，其中A和E具有信号敏感性，t对信号不敏感。同时，为了检测随机重力波背景，需要引入重叠函数，以表征通道之间的相关性。为了计算重叠函数，在低频近似中工作通常很方便，并假设米歇尔森通道相等。但是，如果一个人希望在$ \ rm a/e $通道的重叠减少功能上工作，则低频近似失败。我们得出了$ \ rm A/E $通道的重叠功能的确切形式。基于重叠函数，我们计算天气，天气I + II和Tianqin + Lisa的灵敏度曲线。我们得出的结论是，使用$ \ rm A/E $通道计算得出的检测灵敏度主要与从等距米歇尔森通道获得的检测灵敏度一致。
The method of time delay interferometry (TDI) is proposed to cancel the laser noise in space-borne gravitational-wave detectors. Among all different TDI combinations, the most commonly used ones are the orthogonal channels A, E and T, where A and E are signal-sensitive and T is signal-insensitive. Meanwhile, for the detection of stochastic gravitational-wave background, one needs to introduce the overlap reduction function to characterize the correlation between channels. For the calculation of overlap reduction function, it is often convenient to work in the low-frequency approximation, and assuming the equal-arm Michelson channels. However, if one wishes to work on the overlap reduction function of $\rm A/E$ channels, then the low-frequency approximation fails. We derive the exact form of overlap reduction function for $\rm A/E$ channels. Based on the overlap reduction function, we calculate the sensitivity curves of TianQin, TianQin I+II and TianQin + LISA. We conclude that the detection sensitivity calculated with $\rm A/E$ channels is mostly consistent with that obtained from the equal-arm Michelson channels.
