Application of the Gratton Vargas Model to arbitrary anode and insulator shapes

TL;DR

This paper extends the Gratton-Vargas 2-D snowplow model to handle arbitrary anode and insulator geometries, aiding the development of an incremental plasma focus model by enabling energy transfer analysis.

Contribution

It introduces a method to apply the Gratton-Vargas model to complex geometries, facilitating more accurate modeling of plasma devices.

Findings

Successful application to simple anode shape

Framework for calculating 3-D surface of rotation

Foundation for incremental plasma focus modeling

Abstract

This paper demonstrates the application of the Gratton-Vargas model (GV) 2-D snowplow model to arbitrary anode and insulator geometry. This is an abridged version of a larger project of constructing an incremental model of the plasma focus and similar devices that mainly addresses the transfer of energy from the energy storage to the plasma until it reaches the axis since the physics of plasma transformations that follow is still at the experimental discovery stage. The first stage of this incremental model is to construct a kinematic framework that allows calculation of an imaginary 3-D surface of rotation that serves the same purpose as the imaginary center of mass in mechanics. The procedure is illustrated with a simple anode shape.