Correction to: Earth Planets Space (2021) 73:95 https://doi.org/10.1186/s40623-021-01380-w
After publication of this article (Omura 2021), it is noticed that there was an error in specifying the plasma frequency in Fig. 1. It was \(\omega_{{{\text{pe}}}} = 1.4\Omega_{{\text{e}}}\). The correct Fig. 1 with \(\omega_{{{\text{pe}}}} = 4\Omega_{{\text{e}}}\) is provided in this Correction.
Variation of Vg, Vp, and VR. Group velocity Vg in black solid line, phase velocity Vp in magenta, and resonance velocities VR in dashed line for different energies K = 10 keV (black), 100 keV (blue), 500 keV (green), and 2 MeV (red) as functions of frequency ω with the plasma frequency \(\omega_{{{\text{pe}}}} = 4\Omega_{{\text{e}}}\)
The original article has also been updated.