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arXiv · 2010.15544

Algorithm for TDI numerical simulation and sensitivity investigation

Gang Wang·Wei-Tou Ni·Wen-Biao Han·Cong-Feng Qiao
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Abstract

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 $\alpha_1$ 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.

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Gang Wang, Wei-Tou Ni, Wen-Biao Han, Cong-Feng Qiao. 2020-10-29. Algorithm for TDI numerical simulation and sensitivity investigation. https://doi.org/10.1103/physrevd.103.122006

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