To overcome the discontinuity between the axial phase and the radial phase in the plasma focus, a
new model (the Masoud model) has been developed. It is assumed that, according to the snowplough
model, the radial phase moves in the angular direction with continuity between the axial and the radial
phases. This model is based on the introduction of an angle of motion in all equations of motion and
circuit. Then, the plasma sheath position and velocity were calculated numerically from the previous
equations. A slug model has been used to calculate the shock wave velocity, and hence the electron
temperature. Values of the discharge current, the axial speed, the axial position, the spike voltage, the
radial piston speed, the radial piston position, the plasma column length and the plasma temperature
have been obtained using the new model. The values calculated by using this model show good
agreement with the published experimental results. |