“…The accuracy of D E LL estimation relies on the understanding of ULF waves in the inner magnetosphere. The ULF waves are abundant in the inner magnetosphere generated by external sources like the disturbance in the solar wind [Leonovich et al, 2003;Mcpherron, 2005] and internal sources like instabilities and the braking of the earthward high-speed flow in the plasma sheet [Kepko and Kivelson, 1999;Lu et al, 2002;Cao et al, 2008Cao et al, , 2010Yeoman et al, 2012;Dai et al, 2013;Klimushkin and Mager, 2015;Zhou et al, 2015]. With recent improvement on in situ electric field measurements by THEMIS [Angelopoulos, 2008] and Van Allen Probes, ULF wave distributions have been further studied [Liu et al, 2009;Takahashi et al, 2015aTakahashi et al, , 2015bDai et al, 2015].…”