INITIAL VELOCITY EFFECT ON SPACE-CHARGE-LIMITED CURRENTS

The characteristics of a monopolar space-charge region under the effect of charge injection with a uniform initial velocity are studied. Poisson's equation has been solved as a Dirichlet boundary-value problem, other than by conventional serial integrations, to yield exact analytical expressions for the potential, held, charge density, and current. The structure of the space-charge region is characterized by a potential well and an effective diode gap, and can be explained in terms of the initial kinetic energy of the charge. The Child-Langmuir Limit, when calculated by using the effective diode gap, is a hrm Limit. (C) 1995 American Institute of Physics.