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.

Fig. 1
figure 1

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.