PHYSICA SCRIPTA, vol.47, no.2, pp.204-208, 1993 (SCI-Expanded)
In this paper, a nonlinear analytical solution for a cold plasma-bunched beam system based on the Hamiltonian formalism where alpha = n(b)/n0 and beta(phi) = upsilon(phi)/c have been taken as parameters matching between zero and unity is given. The oscillation limiting energies, frequencies and transformer ratios have been carried out in general for both the one-dimensional and the case where a small transverse component of motion is included. The plasma wakefield accelerator has been treated as a special case.