Modeling of the pinch electron-density distribution in a small Plasma Focus

In this work, a model of the plasma dynamics was developed for a Plasma Focus device. Using MHD theory, coupled differential equations were generated to describe the macroscopic behaviour of pinch compression phase. In order to provide these equations with appropriate initial conditions, the modelling of previous phases was included by describing the plasma sheath as planar shockwaves. The equations were solved numerically and the results were contrasted against experimental measurements performed on the device PF-50, in order to evaluate the model's capability of predicting focus conditions at the time of maximum compression. Pinch dimensions and radial electron density profile were satisfactorily adjusted.