On the structure of the steady state spacechargelimited boundary layer in one dimension
Abstract
The authors study the external SGEMP boundary layer in one Cartesian dimension in the steadystate limit. Dimensional arguments backed by explicit calculations show the surface charge density to be independent of the electron charge, and show that the characteristic potential and dipole moment of the layer are practically independent of fluence. The general equation of motion is shown to imply that the electrostatic energy density is everywhere twice the density of kinetic energy stored in the normal component of electron motion. Detailed solutions are given for several electron energy spectra including an exponential energy spectrum with a cos theta angular emission spectrum. Estimates are given for the times at which the steadystate solution should be applicable.
 Publication:

Technical Report
 Pub Date:
 November 1975
 Bibcode:
 1975mrc..reptQ....C
 Keywords:

 Boundary Layers;
 Electron Energy;
 Equations Of Motion;
 Plasma Sheaths;
 Electrostatic Charge;
 Kinetic Energy;
 Mathematical Models;
 Steady State;
 Plasma Physics