Abstract
This letter presents a two-dimensional (2D) model of space-charge-limited current in a planar crossed-field gap with a magnetic strength of B∕BH=0–3, where BH is the Hull cutoff magnetic field. The electrons are emitted from an infinite length strip of finite width W comparable to the gap spacing D. It is found that the 2D enhancement of the crossed-field limiting current is 1+F×4D∕(πW), where F (=0.05–0.5) is a normalized mean-position factor, and it is a function of B∕BH. Good agreement has been obtained in comparisons with particle-in-cell simulation.
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