Geometric Influence on the Electron Distribution in Gas Discharge Plasma

Abstract

An analytical model is proposing to investigate the influences of the shape and size of an open and closed cylinder on the electron density distribution. A two-dimensional steady state ionization equation solved analytically by using cylindrical coordinates. The only gain and loss processes consider are the cascade ionization and electron diffusion. The radial behaviour of the diffusion length in both open and closed cylinder for different values of shape and size are calculated and the axial and radial electron density distributions discusses for some values of gas velocity.