A Theoretical Framework of Chorus Wave Excitation

We propose a self-consistent theoretical framework of chorus wave excitation, which describes the evolution whistler fluctuation spectrum as well supra-thermal electron distribution function. The renormalized hot response is cast in form Dyson-like equation, then leads to equations for nonlinear growth and frequency shift. This approach allows us analytically derive first time exactly same expression chirping rate originally proposed by Vomvoridis et al.,1982. Chorus shown correspond maximization particle power exchange, where each individual belonging packet characterized small also show that different interpretations published literature have consistent reconciliation within present framework, further illuminates analogy with similar phenomena fusion plasmas free laser physics.