Unformatted text preview: 2 t ω ω-kv-Ω , (2) where Ω = eB /m e c is the electron cyclotron frequency and k is the wavevector in the z direction. The calculation is simpliﬁed if you assume that the wave is right-hand circularly polarized so that the perturbed electric ﬁeld can be written as ˆ E = ˆ E ˆ x + i ˆ E ˆy . (3) From this polarization it follows that the perturbed distribution is proportional to e iθ , where θ is the polar angle of the velocity vector perpendicular to the magnetic ﬁeld. Also assume that ω pe ± Ω, which allows you to discard the displacement current in Ampere’s law....
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- Fall '08
- Work, Fundamental physics concepts, initial magnetic ﬁeld, propagating whistler/electron cyclotron, gyrotropic pressure tensor, perturbed electric ﬁeld, initial isotropic Maxwellian