Numerical calculation of scaled density vs scaled radial coordinate for the values of indicated.
Fractional errors of approximate solution are plotted as a function of for the indicated values of for (a) weak space-charge (large ), and (b) strong space-charge (small ). Curves are cutoff at values of where .
Normalized error plotted as a function of for values of satisfying , , , , , and as indicated on the curves. Here, and .
Scaled variables in the transformed Poisson equation. In both formulations, and are the nonrelativistic plasma frequency and Debye length formed from the on-axis density .
Article metrics loading...
Full text loading...