论文标题
抑制LISA激光噪声的时间延迟干涉法组合的重新审视
Revisitation of time delay interferometry combinations that suppress laser noise in LISA
论文作者
论文摘要
为了了解时间延迟干涉法（TDI）组合如何最好地用于表征Lisa仪器噪声，我们重新审视了它们的激光频率噪声消除属性。我们已经开发了一种算法来搜索所有可能的组合，以抑制与X，Y和Z经典组合相同水平的噪声。该算法使用符号公式计算延迟，这些公式明确包含卫星的速度和加速度，直到相关顺序。此外，一旦确定了组合，通过使用开普勒轨道和shapiro延迟校正来求解相关方程来验证延迟。我们发现，抑制噪声的组合数量大于文献中报道的组合数。特别是我们发现，某些认为仅部分抑制噪声的组合实际上确实在与基本X，Y和Z组合相同的准确性上抑制了噪声。
With the purpose of understanding how time delay interferometry (TDI) combinations can best be used for the characterisation of LISA instrumental noise, we revisit their laser frequency noise cancellation properties. We have developed an algorithm to search for all possible combinations that suppress noise at the same level as the X, Y and Z classical combination. The algorithm calculates delays using symbolic formulas that explicitly include velocities and accelerations of satellites up to the relevant order. In addition, once a combination has been identified, delays are verified by solving numerically the relevant equations using Keplerian orbits and Shapiro delay corrections. We find that the number of combinations that suppress the noise is larger than what was reported in the literature. In particular we find that some combinations that were thought to only partly suppress the noise, in reality do suppress it at the same level of accuracy as the basic X, Y and Z combinations.
