The electron dynamics in an ion channel in presence of an inhomogeneous backgrownd magnetic field

Summary form only given. We have studied both theoretically and numerically the effects of the space charge field, plasma wave and inhomogeneity of the background magnetic field on the dynamics of electron in an ion channel. For this purpose, we have used a three dimension one-particle simulation code and fourth-order Runge-Kutta method for investigation these effects. The electron dynamics are treated employing complete three-dimensional Lorentz force equations. The trajectories of electron in the ion channel and electron energy gain is well evaluated. Moreover, the optimal values of characteristic wavelength of inhomogeneous magnetic field and plasma frequency for maximum acceleration of electron in an ion channel are achieved.