Excitation of nonlinear one-dimensional wake waves in underdense and overdense magnetized plasma by a relativistic electron bunch

The excitation of wake waves by a relativistic homogeneous electron bunch p assing through cold magnetized plasma at equilibrium is studied for arbitra ry values of the ratio of bunch density to plasma density. The analysis is based on the assumption that the magnetic field is sufficiently strong (ome ga(B) much greater than omega(p), where omega(p) and omega(B) are the elect ron plasma and cyclotron frequencies respectively). The periodic and nonper iodic solutions for the momentum of plasma electrons inside the bunch are a nalyzed. It was shown that the presence of strong external magnetic field m ay increase the amplitude of wake waves and the maximum transformer ratio, the latter being reached at densities of bunch power than that in the absen ce of magnetic field. The optimum conditions for obtaining the maximum valu es of the wake field amplitude and of the transformer ratio are found.