2017 Volume 12 Pages 1403047
The transverse dielectric susceptibility elements are derived for electromagnetic cyclotron waves in an axisymmetric laboratory dipole magnetosphere accounting for the cyclotron and bounce resonances of trapped and untrapped particles. A bi-Kappa (or bi-Lorentzian) distribution function is invoked to model the energetic particles with anisotropic temperature. The steady-state two-dimensional (2D) magnetic field is modeled by laboratory dipole approximation for a superconducting ring current of finite radius. Derived for field-aligned circularly-polarized waves the dispersion relations are suitable for analyzing both the whistler instability in the range below the electron-cyclotron frequency, and the proton-cyclotron instability in the range below the ion-cyclotron frequency. The instability growth rates in the 2D laboratory magnetosphere are defined by the contributions of energetic particles to the imaginary part of transverse susceptibility.
