“…Following the same procedure adopted by the authors in references [15,19,20,31,32], we get a simplified expression for ò as For MS waves, as we know, the parallel wavenumber is small compared to the perpendicular wavenumber which means 1 0 z a should be used in equation 4, in which case, the asymptotic form of the plasma dispersion function needs to be taken into account, i.e., [23,24] which means that the real frequency is independent of κ, in much the same way as the real frequency of electrostatic waves. This has to do with the structural similarities of the two dielectric tensors (equations (40) and (3) of references [24] and [33], respectively).…”