Multi‐pass gain in whistler energy is possible in the radiation belts if the wave amplitude is sufficiently large. Large amplitude magnetospherically reflected whistlers can induce nonlinear scattering and form a magnetospheric cavity filled with nearly isotropic spectrum of wave vectors perpendicular to the magnetic field with low obliqueness. This increases the wave‐particle resonance time and maintains a large pitch angle scattering rate. Enhanced pitch angle scattering and precipitation of trapped electrons into the radiation belt loss cone provides a proportionate gain in the whistler energy.
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Ganguli et al. (2012) studied this question.
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