论文标题
用于TDI数值模拟和灵敏度研究的算法
Algorithm for TDI numerical simulation and sensitivity investigation
论文作者
论文摘要
我们引入了一种通用算法，以确定时间延迟和航天器（S/C）位置，以在动态情况下构成任何时间延迟干涉法（TDI）通道，并使用完整的数值方法评估其灵敏度。我们选择了从四种方法构建的11个第二代TDI通道，并研究其重力波反应，噪声水平和数值Lisa轨道下的平均灵敏度。所选通道的敏感性各不相同，尤其是低于20 MHz的频率。最佳频道A $ _2 $（或等效地E $ _2 $）合并于第二代米歇尔森TDI频道（x $ _1 $，x $ _2 $和x $ _3 $）实现了频道之间的最佳敏感性，而sagnac $α_1$频道则表现出较差的敏感性。与信托X $ _1 $通道相比，多个通道在某些特征频率下显示出更好的敏感性。关节$ \ mathrm {a_2+e_2+t_2} $观察不仅使x $ _1 $通道的灵敏度提高了$ \ sqrt {2} $至2的倍数，还可以提高天空覆盖的能力。
We introduce a generic algorithm to determine the time delays and spacecraft (S/C) positions to compose any time-delay interferometry (TDI) channel in the dynamical case and evaluate its sensitivity by using a full numerical method. We select 11 second-generation TDI channels constructed from four approaches and investigate their gravitational wave responses, noise levels, and averaged sensitivities under a numerical LISA orbit. The sensitivities of selected channels are various especially for frequencies lower than 20 mHz. The optimal channel A$_2$ (or equivalently E$_2$) combined from second-generation Michelson TDI channels (X$_1$, X$_2$, and X$_3$) achieves the best sensitivity among the channels, while the Sagnac $α_1$ channel shows the worse sensitivity. Multiple channels show better sensitivities at some characteristic frequencies compared to the fiducial X$_1$ channel. The joint $\mathrm{A_2+E_2+T_2}$ observation not only enhances the sensitivity of the X$_1$ channel by a factor of $\sqrt{2}$ to 2 but also improves the capacity of sky coverage.
