Relativistic Electron-Cyclotron Waves in a Hot Plasma Channel with a Parabolic Density Profile

摘要

The propagation of relativistic electron-cyclotron waves in a hot plasma channel with a parabolic density profile is discussed. Analytical calculations are performed to find the governing equation for the evolution of the pulse spot size including the effects of relativistic self-focusing, ponderomotive self-channeling and preformed channel focusing. Also, by analyzing the equation of the pulse spot size, the existence of some solitary wave solutions is predicted numerically.