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In plasma focus generators the magnetic energy is stored behind the moving current sheath (Mather,1971). A portion of this energy is converted into plasma energy during the rapid collapse of the current sheath towards the axis beyond the end of the central electrode. Electrical breakdown generates some initial plasma configuration through which the discharge current can flow and at very low pressure a discharge can develop within the whole inter-electrode volume. The current sheath formed at the end of the breakdown phase is accelerated by Lorentz force towards the open end of the inner electrode and then the current sheath sweeps around the end of the anode electrode and finally implodes due to the inward J×B force. When the current sheath reaches the end of the central electrode, it reverses over itself and collapses radially inward, heating the pinching plasma enclosed in it (Mather,1965). The radial compression of CS is open at one end. Hence a gas dynamic shock is propagated ahead of the CS into the undisturbed filling gas (Soto,2005). The snowplow model is used for axial acceleration of CS to obtain axial trajectory, CS speed and current profile. As the CS is assumed to be infinitesimally thin, no information of density is contained in the physics of the equation of motion, although an estimate of density may be obtained by invoking shock wave theory (Lee et al,1988). For a given density and temperature, plasma equilibrium models can be used to calculate the plasma states and emission spectra with the knowledge of the rates of transition and related parameters. The collisional radiative model was developed to fill the gap of several orders of magnitude in electron density where neither the LTE model nor the corona equilibrium is valid. This is a modification of the corona model which takes into account collisional transitions as well as radiative decay from higher bound levels, and three body as well as radiative recombination. The main difficulty with this model is its complication, need of computer time, etc. In the calculations the corona model has been applied as an approximation for simulating the argon plasma in the plasma focus. This could give sufficiently accurate simulation results (Bates et al,1962 & Yanagidaira,1999). A scheme of a plasma focus system and also the configuration of the 2D cylindrical geometry shock wave at the radial phase of plasma layer are shown in Figure 1. We have developed a new model 5

Analytical Model of Current Sheath Path Based upon Shock Wave Trajectory of Plasma Layer in a Plasma Focus Device