Modelling reconstruction of typical magnetic geometries by modified RBF

Three-dimensional complex magnetic geometry, such as magnetic nulls or separators which are possible sites for magnetic reconnection to take place, makes direct and detailed knowledge of them hard to gain through several crafts’ measurement at a time. Here, this paper gives a method which will reconstruct the magnetic geometry from a time series of data collected by space crafts through expanding the magnetic field into a weighted sum of modified RBF (Andreeva and Tsyganenko, 2016) without any prior restrictions on the electric current form. The method is tested by 2.5-dimensional and 3-dimensional reconnection geometry, showing good agreement with the preset ones. Moreover, the errors of the positions of nulls and directions of spines or fans are mostly below 10% even with 10% random error adding to the magnetic field values. Future application in reconstruction of real space crafts’ measurements such as Cluster or MMS mission is discussed.