Fig. 7From: 3-D global hybrid simulations of magnetospheric response to foreshock processesCase I: various harmonic modes of \(E_{{\text{r}}}\) along the dipole-like field line in the noon-meridian plane at \(L = 8~R_{{\text{E}}}\). Top panel: the first 7 harmonic modes between \(t = 50 - 200~\Omega _{{i0}}^{{ - 1}}\) in time sequence. Bottom panel: the corresponding power spectra for each harmonic. Note that the oscillations in time sequence have been rescaled to show the bouncing of field lines for each harmonic mode, but the strength can be perceived from wave power spectraBack to article page