This letter presents a two-dimensional (2D) model of space-charge-limited current in a planar crossed-field gap with a magnetic strength of , where is the Hull cutoff magnetic field. The electrons are emitted from an infinite length strip of finite width comparable to the gap spacing . It is found that the 2D enhancement of the crossed-field limiting current is , where is a normalized mean-position factor, and it is a function of . Good agreement has been obtained in comparisons with particle-in-cell simulation.
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American Institute of Physics
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