Space plasma studies frequently use in situ magnetic field measurements taken from many spacecraft simultaneously. A useful data product of these measurements is the reconstructed magnetic field in a volume near the spacecraft observatory. We compare a standard Linear method of computing the magnetic field at arbitrary spatial points to two novel approaches: a Radial Basis Function interpolation and a time-dependent 2D inverse distance weighted interpolation scheme called Timesync. These three methods, which only require in situ measurements of the magnetic fields and bulk plasma velocities at a sparse set of spatial points, are implemented on synthetic data drawn from a time-evolving numerical simulation of plasma turbulence. We compare both the topology of the reconstructed field to the ground truth of the simulation and the statistics of the fluctuations found in the reconstructed field to those from the simulated turbulence. We conclude that the Radial Basis Function and Timesync methods outperform the Linear method in both topological and statistical comparisons.

中文翻译：

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多航天器磁场重建：方法的跨尺度比较

空间等离子体研究经常使用同时从许多航天器进行的原位磁场测量。这些测量的一个有用的数据产品是航天器天文台附近体积中的重建磁场。我们将计算任意空间点磁场的标准线性方法与两种新颖方法进行比较：径向基函数插值和时间相关的二维反距离加权插值方案（称为 Timesync）。这三种方法只需要在一组稀疏的空间点处对磁场和整体等离子体速度进行原位测量，并在从等离子体湍流的时间演化数值模拟中提取的合成数据上实现。我们将重建场的拓扑结构与模拟的真实情况进行比较，并将重建场中发现的波动统计数据与模拟湍流中的波动统计数据进行比较。我们得出的结论是，径向基函数和时间同步方法在拓扑和统计比较方面均优于线性方法。