Chorus wave amplification: A free electron laser in the Earth’s magnetosphere

A new theoretical model for whistler-mode chorus amplification in the Earth’s magnetosphere is presented. We derive, based on the free-electron laser mechanism in a high-gain amplifier, a new closed set of self-consistent relativistic equations that couple the Hamiltonian equations for particles with Maxwell’s equations. We demonstrate that these equations predict, through a cubic equation, whistler amplification levels in good agreement with those observed in the Earth’s magnetosphere.