Wallace M. Manheimer

Nonlinear whistler instability driven by a beamlike distribution of resonant electrons

Theory and simulation are used to study the instability of a coherent whistler parallel-propagating in a simplified model radiation belt with a background of cold electrons, as well as a ring distribution of energetic electrons. A nonlinear instability is initiated at the location z+, where the electrons are cyclotron resonant with the wave, on the side of the equator (z=0) where the wave is propagating away from the equator. The instability propagates backward toward the equator, growing both spatially and temporally. As the instability develops, frequency falls in such a way as to keep the electrons nearly resonant with the waves over the entire region 0<z<z+. The instability causes a sharp drop in the pitch angle of the resonant electrons and eventually saturates with peak amplitude near the equator.

The two-plasmon instability for low temperature and inhomogeneous plasma

The fluid equations for the 2 omega pe instability in an inhomogeneous plasma are formulated. The solutions are calculated numerically in the limit k>k0 and I<or approximately=5*1014 W cm-2, which are suitable for NRL experiments. Also unstable regions are mapped out as a function of irradiance, scale length and laser wavelength.