Higher-order gyroresonant acceleration of electrons by superluminous (AKR) wave-modes

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We consider gyroresonant acceleration of electrons by the superluminous (R X, L O, L X) wave modes that are generated as AKR in the Earth's magnetosphere. This work is an extension of our previous study in which we considered the case α>1, where α=|Ωe|/ωpe2, with the restriction that the cyclotron harmonic N=1. Here, we consider both regimes α>1 and α⩽1, and allow higher-order harmonics N>1. For the case α>1, we find that (a) the R X mode can accelerate electrons more effectively at higher harmonics in that acceleration to higher energies (˜MeV) is not limited to small wave angles, as is the case for N=1, (b) the L O mode can produce significant acceleration of electrons from ˜10keV to ˜MeV energies at higher harmonics over a broad range of magnetosphere and wave normal angles, as is the case for N=1, (c) the L X mode is less effective for electron acceleration at higher harmonics, with typical minimum resonant energies (˜MeV) being higher than those for N=1. For the case α⩽1, we find that electron gyroresonance with the superluminous wave modes can only occur at the higher harmonics, e.g., typically N⩾4 for the R X mode, and N⩾3 for L O and L X modes. Significant acceleration of electrons from ˜1keV to ˜MeV by each of the superluminous wave modes can occur for higher harmonic resonances over a wide range of wave normal angles.

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