Abstract
The solution of Poisson's Equation in spherical coordinates for electron injection with spreads in total energy and in angular energy provides a realistic theoretical model for the potential within a spherical device for single-species injection. The agreement between this theory and experimental results on similar devices is excellent. The essential factor in obtaining good agreement is the inclusion of the angular motion of the injected particles. Preliminary theoretical results for two-species injection indicate that this theoretical approach may also be able to be used to provide a model of the multiple potential well structure observed in experimental devices for electron injection into a low pressure gas background. (auth)
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