Filamentation instability of quantum magnetized plasma in the presence of an external periodic magnetic field

摘要

This paper investigates the filamentation instability of a non-relativistic electron beam passing through a periodic longitudinal magnetic field and an infinite uniform magnetized plasma. The linearized fluid-Maxwell equations are used to derive an equation for the dispersion relation of quantum magnetized plasma. The resulting dispersion equation is analyzed numerically over a wide range of system parameters. It is found that the growth rate of the filamentation instabilities is strongly affected by the strength of the periodic magnetic field.