Introduction
The paraxial diode fielded at AWE [I] uses a gas drift cell to focuss a high current electron beam onto a high Z target. The electron beam ionises the gas neutrals forming a conductive plasma [2]. Provided the neutral gas density is greater than the beam density (at 1 Torr air 1016cm-3 and the electron beam will quickly become charge neutralised. The time varying net magnetic field causes plasma electrons to flow in opposition to the beam current. If the plasma return current exactly cancels the rising beam current, the beam-plasma system is fully current neutralised resulting in no net magnetic field. Under these conditions the electron beam would travel ballistically (move in straight lines). Recent work [2] suggests that the beam is in fact only partially current neutral. This means that electrons oscillate about the axis with a betatron wavelength given by, \begin{equation*} \lambda_{b}=2\sqrt{\pi}R(17\gamma\beta/I_{net})^{1/2} \tag{1} \end{equation*} where R is the rms beam radius at the anode foil, the net current set up in the drift cell, the electron beam velocity and the usual relativistic parameter.