Four‐point Cluster application of magnetic field analysis tools: The Curlometer

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Dimensional analysis of observed structures using multipoint magnetic field measurements: Application to Cluster (2005, methodology): “For the case of four spacecraft, as in Cluster, linear estimation is appropriate and results in identical methods [Robert et al., 1998; Chanteur, 1998; Harvey, 1998; Dunlop et al., 2002a; Pu et al., 2003; Shen et al., 2003].”
Multi-point observations of the Hall electromagnetic field and secondary island formation during magnetic reconnection (2006, methodology): “[34] There exist techniques which can be used, in certain specific circumstances, to estimate Ehall from the multi-point magnetic field data directly; For example, the curlometer technique [ Dunlop et al., 2002 ] can be used to determine the current density, which can then be used to find j � B. The”
Electric structure of dipolarization front at sub‐proton scale (2012, methodology): “Alternatively, one can estimate the current j at a DF using the multi-spacecraft curlometer technique [Dunlop et al., 1988, 2002], as done for example by Schmid et al. [2011] and Hwang et al. [2011].”