Abstract

was numerically solved. The solution for the potential leads to the evaluation of the local field and, subsequently, the current density evaluated by using the Fowler-Nordheim’s approach. The results hint at a strong local dependence of the electric field with small variations in the roughness of the irregular boundary. The value of the turn-on electric field is found to be 8 10 6 V / cm. Finally, Fowler-plot curves make possible to discuss the connection between the field amplification factor and geometric properties of the emitter surfaces.

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